1. What values of a, b, and c would you use in the quadratic formula for the following equation?
5x^2 +9x=4
A.a= -4, b = 9, c = 5
B.a=5, b= 9, c = -4
C.a=5, b= 4, c = 9
D.a= 5, b = 9, c=4​

Answers

Answer 1

Answer:

D

Step-by-step explanation:

because it is the answer that I think of


Related Questions

What is the greatest common factor of 24, 40 and 32?
A. 1
B. 2
C. 4
D. 8

Answers

It’s 8 because 24/8 is 3 and 40/8 is 5 and 32/8 is 4 so the answer is 8 YOUR WELCOME

Answer:

your answer is D. 8

Step-by-step explanation:

Dose anyone know this question I will give brainless bc I dont know this

Answers

Answer:

3.5

Step-by-step explanation:

Answer:

LxWxH

Step-by-step explanation:

thats how you find area

Need help plz asap im hoping on an answer quick thank you <3

Answers

Answer:

I believe the answer is 10

Step-by-step explanation:

Answer:

I think that it might be ten

Step-by-step explanation:

LEGIT BEG PLEASE HELP

Answers

Answer:

help with what problem?

Step-by-step explanation:

Answer:

Sure

Step-by-step explanation:

A triangle has sides with lengths of 14 feet, 48 feet, and 50 feet. Is it a right triangle?

Answers

Answer:

Yes, it is a right triangle

Step-by-step explanation:

Answer: Yes it is

Note that a right triangle is a triangle with a right angle.


Find the area of rhombus with diagonals 6 mm and 9 mm.

Answers

The area of a rombus is a big area the rumbus is big 6 mm and 9mm not enough you need a 40mm if you really want to be thuggn







with 09) Let x, y be random variables joint probability density function f(x,y) = K (2x+ +y) of as 4 of y=2 443 Find K and (Hind : draw P CY

Answers

K = 1/4, fY(y) = (8 - Y)/9

Random variables X and Y have a joint probability density function f(x,y) = K(2x+y) where 0<=x<=1, 0<=y<=2 and f(x,y) = 0 elsewhere. Also, Y = 2^(-X) + 3. Let's determine the value of K.

Determination of K

The probability density function f(x,y) must satisfy the following condition:

i.e., the integral of f(x,y) over the entire range of (x,y) should be equal to 1.

f(x,y) = 0 elsewhere implies that f(x,y) = 0 for x<0 and x>1 and y<0 and y>2. Hence, the range of integration should be [0,1] for x and [0,2] for y.

The integral of f(x,y) over the entire range of (x,y) can be expressed as follows:

[tex]∫∫K(2x+y)dydx = 1[/tex]

On integrating with respect to y first, we get:

[tex]∫(2x+y)dy = [2xy + (1/2)y^2][/tex]evaluated from 0 to 2

= 4x + 2

On integrating with respect to x, we get:

[2x^2 + 2x] evaluated from 0 to 1

= 4

On equating the integral value with 1, we get:

[tex]4K = 1K = 1/4[/tex]

Determination of probability density function of Y

We have [tex]Y = 2^(-X) + 3[/tex]. Therefore, for a given value of Y, the range of X can be determined as follows:

[tex]2^(-X) = Y - 3= > X = -log2(Y-3)[/tex]

Hence, the probability density function of Y can be obtained as follows:

[tex]fY(y) = ∫f(x,y)dxfY(y) = ∫f(x,2^(-X) + 3)dx[/tex]

From the given expression, we can observe that f(x,y) = 0 elsewhere implies that f(x,2^(-X) + 3) = 0 for x<0 and x>1 and y<3 and y>2. Also, the range of integration for x can be determined as follows:

For y<=3, X>=-log2(y-3). For y=2, the minimum value of X can be obtained by taking the limit as y tends to 2 from the right. The minimum value of X is therefore equal to [tex]-∞[/tex]. Therefore, the range of integration for x is [tex][-∞,1].[/tex]

fY(y) =[tex]∫f(x,2^(-X) + 3)dx = ∫(1/4)(2x + 2^(-X) + 3)dx[/tex]

fY(y) = (1/4)(x^2 - 2^(-X)x + 3x) evaluated from [tex]x=-∞ to x=1[/tex]

fY(y) = [tex](1/4)(1 - 2^(log2(Y-3)) + 3)[/tex]= (8 - Y)/9

Let's draw the probability density function of Y. The probability density function of Y is as follows:

fY(y) = (8 - Y)/9

To learn more about variables, refer below:

https://brainly.com/question/15078630

#SPJ11

with 09) Let x, y be random variables joint probability density function f(x,y) = K (2x+ +y) of as 4 of y=2 443 Find K and (Hind : draw P CY<SX ) a picture )


please help!!
Explain how you could figure out the formula for the surface area of a cylinder if all you knew was the formula for surface area of a right rectangular prism. k

Answers

If you know the formula for the surface area of a right rectangular prism, you can use that knowledge as a basis to derive the formula for the surface area of a cylinder.

Deriving the surface area of a cylinder from the surface area of a right rectangular prism

Recall the formula for the surface area of a right rectangular prism:

SA_prism = 2lw + 2lh + 2wh

where l, w, and h represent the length, width, and height of the prism, respectively.

Consider a cylinder as a special case of a prism with a circular base and a height. The circular base can be thought of as a rectangle with a length equal to the circumference of the base (2πr) and a width equal to the height (h) of the cylinder.

The curved surface of the cylinder can be "unrolled" and flattened to form a rectangle, with the length equal to the circumference of the base (2πr) and the width equal to the height (h) of the cylinder.

Thus, the surface area of the curved part of the cylinder is equal to the surface area of the rectangular prism with dimensions 2πr and h.

Thus, the formula for the surface area of the cylinder can be derived as follows: SA_cylinder = 2πrh.

More on the surface area of a cylinder can be found here: https://brainly.com/question/29015630

#SPJ4

The distance from the
coffee shop to the
school is 10 miles. On
the map, the coffee
shop is 7.5 inches from
the school. Which one
of the following gives
the scale used
on the map?

A. 5 inches = 2 miles
B. 4 inches = 3 miles
C. 2 inches = 5 miles
D. 3 inches = 4 miles

Answers

I think it’s A hope that helped

A random poll of 800 middle school students found that 9% are ESL (English as a Second Language) learners. Estimate the actual percentage of ESL learners by constructing a 95% confidence interval. Separately, a local school board member claimed that 15% of students are ESL learners. Is the board member's claim plausible? The 95% confidence interval is 7% to 11% and, yes the board member's claim of 15% is plausible since his claim is inside of the confidence interval The 95% confidence interval is 7% to 11% and, no the board member's claim of 15% is not plausible since his claim is outside of the confidence interval The 95% confidence interval is 9% and, no the board member's claim of 15% is not plausible since his claim is outside of the confidence interval The 95% confidence interval is 0% to 18% and, yes the board member's claim of 15% is plausible since his claim is inside of the confidence interval QUESTION 26 A stationary time series is one whose properties depend on the time the series is observed and are likely to exhibit trends and seasonality. True False

Answers

The given statement "A stationary time series is one whose properties depend on the time the series is observed and are likely to exhibit trends and seasonality" is false.

The confidence interval provides a range of values in which the actual value of a population parameter is likely to fall.

A random poll of 800 middle school students found that 9% are ESL (English as a Second Language) learners.

The confidence interval estimates the actual percentage of ESL learners by constructing a 95% confidence interval.

Let us calculate the 95% confidence interval to check the board member's claim.

The point estimate is:9%

The margin of error is calculated as:

ME=1.96×√(pˆ(1−pˆ)/n)=1.96×√(0.09(1−0.09)/800)=0.0228

Since the margin of error is small enough relative to the point estimate, we can approximate the confidence interval using:

pˆ±ME=0.09±0.0228

=(0.0672,0.1128)

The 95% confidence interval is (0.0672, 0.1128).

Now we can check if the board member's claim of 15% is plausible or not:

15% falls outside the 95% confidence interval of (0.0672, 0.1128).

Hence, we can conclude that the board member's claim of 15% is not plausible since his claim is outside of the confidence interval.

False is the correct answer to the given question.

A stationary time series is one whose properties do not depend on the time the series is observed and do not exhibit trends and seasonality.

To learn more about margin

https://brainly.com/question/31622321

#SPJ11

I need some answer plssss help me​

Answers

A. Find the unknown term of each proportion.

1. Answer: X=5

Step-by-step explanation:

x/7=15/21 ==> 21x=7(15) ==> 21x=105

21x/21=105/21 ==> x=5

2. Answer: X=40.5

Step-by-step explanation:

27/x=x/3 ==> 27(3)=x(x) ==> 81=2x

81/2=2x/2 ==> x=40.5

3. Answer: X=16

Step-by-step explanation:

8/x+2=4/9 ==> 8(9)=4(x+2) ==> 72=4x+8

72-8=4x+8-8 ==> 64=4x ==> 64/4=4x/4 ==> x=16

4. Answer: X=8

Step-by-step explanation:

3/x=30/80 ==> 3(80)=30x ==> 240=30x

240/30=30x/30 ==> x=8

5. Answer: M=56

Step-by-step explanation:

m/8=m+7/9 ==> 9m=8(m+7) ==> 9m=8m+56

9m-8m=8m-8m+56 ==> m=56

B. Solve the following.

1. Answer: 80 and 100

Step-by-step explanation:

4:5 ==> 4x+5x=180 ==> 9x=180

9x/9=180/9 ==> x=20

4(20)= 80            5(20)=100

2. Answer: 235.29

Step-by-step explanation:

3400/8 ==> 425

100,000/425= 235.29

A yogurt company claims that it prints a free yogurt coupon under a randomly selected 20% of its lids. A loyal customer purchases 85 yogurt cups, and records whether each was a winner. After consuming all 85 cups, he is disappointed to see that only 12 (14.1%) of his yogurt cups contained coupon codes. He performs a 99% confidence interval for the proportion of yogurt cups containing coupon codes, obtaining (0.044, 0.238). What conclusion can the customer draw about the yogurt company’s claim?

Answers

Answer:

The customer can conclude that the company's claim is correct

Step-by-step explanation:

The percentage of lids that has a free yogurt coupon = 20%

The number of cups a loyal customer purchases = 85 yogurt cups

The number of cups that contained a coupon = 12 (14.1%)

The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes

The interval obtained = (0.044, 0.238)

Therefore, the range of proportion within which the true proportion exists is 0.044 < [tex]\hat p[/tex] < 0.238

The range of percentage within which the true percentage exist is therefore;

0.044 × 100 = 4.4%  < [tex]\hat p[/tex] × 100 < 0.238 × 100 = 23.8%

Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.

Answer:

A, the company’s claim may be justified because 0.2 is in the confidence interval.

Step-by-step explanation:

PLEASE HELP! 15 POINTS! Select the statement that describes this expression: fraction 1 over 2 x (734 − 246). (2 points)

Group of answer choices

Half the sum of 734 and 246

fraction 1 over 2 the difference between 734 and 246

fraction 1 over 2 the quotient of 734 and 246

2 times the difference between 734 and 246

Answers

Answer:

fraction 1 over 2 the difference of 734 and 246.

Use De Moivre's Formula to compute the three complex cubic roots of 2-2i List your answers in the form (a + bi). Show all steps.

Answers

Using c we can compute the three complex cubic roots of 2-2i. The roots are (-1 + i), (1 - i), and (-2). The explanation below provides the step-by-step process of finding these roots.

De Moivre's Formula states that for any complex number z = r(cos θ + i sin θ), the nth root of z can be calculated as z^(1/n) = r^(1/n)(cos(θ/n + 2πk/n) + i sin(θ/n + 2πk/n)), where k is an integer.

In this case, we have z = 2-2i, which can be represented in polar form as r = √(2^2 + (-2)^2) = 2√2 and θ = tan^(-1)(-2/2) = -π/4.

To find the cubic roots, we need to compute z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3 + 2πk/3) + i sin((-π/4)/3 + 2πk/3)].

For k = 0:

z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3) + i sin((-π/4)/3)] = (∛2)[cos(-π/12) + i sin(-π/12)] = (-1 + i).

For k = 1:

z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3 + 2π/3) + i sin((-π/4)/3 + 2π/3)] = (∛2)[cos(7π/12) + i sin(7π/12)] = (1 - i).

For k = 2:

z^(1/3) = (2√2)^(1/3)[cos((-π/4)/3 + 4π/3) + i sin((-π/4)/3 + 4π/3)] = (∛2)[cos(-5π/12) + i sin(-5π/12)] = (-2).

Therefore, the three complex cubic roots of 2-2i are (-1 + i), (1 - i), and (-2)

Learn more about De Moivre's here:

https://brainly.com/question/29750103

#SPJ11

One hundred draws will be made at random with replacement from one of the following boxes. Your job is to guess what the sum will be, and you win $1 if you are right to within 10. Which box is best? Worst?
(i) 1 9 (ii) 4 6 (iii) 5 5

A. Box (i) is the best and Box (iii) is worst.
B. Box (i) is the best and Box (ii) is worst.
C. Box (ii) is the best and Box (i) is worst.
D. Box (ii) is the best and Box (iii) is worst.
E. Box (iii) is the best and Box (ii) is worst.
F. Box (iii) is the best and Box (i) is worst.

Answers

The answer is:Option (F) Box (iii) is the best and Box (i) is worst, for the given one hundred draws will be made at random with replacement from one of the following boxes based on expected-probability.

Given the three boxes:

(i) 1 9(ii) 4 6(iii) 5 5

One hundred draws will be made at random with replacement from one of the above boxes.

Let us now calculate the expected value of the sum for each of the boxes:

(i) Expected value of sum = (1+9)/2 × 100

                                          = 500.

(ii) Expected value of sum = (4+6)/2 × 100

                                           = 500.

(iii) Expected value of sum = (5+5)/2 × 100

                                            = 500.

Box (i) and (ii) have the same expected value, so we can choose either of them.

However, it is important to note that in Box (ii) the numbers are closer together than in Box (i),

so the sum is more likely to be near the expected value.

This makes Box (ii) the best option.

Box (iii) is the worst option as it has a smaller range than the other two boxes,

Which means that it is less likely to produce a sum close to the expected value.

To know more about expected--probability, visit:

https://brainly.com/question/32070503

#SPJ11

Read through the list of points about robots. Determine main points, subpoints, and sub-subpoints. Drag each point to its appropriate place on the outline to the right. If using a tablet, please turn your device horizontally In 1773, Pierre and Henri Jaquet-Droz built dolls that could write, play music, and draw pictures. They allow surgeons to operate on patients from thousands A. of miles away They can navigate hospital corridors to deliver pharmaceuticals, X-rays, and bandages Robots have captured the human imagination for centuries. Astronauts use robots to perform maintenance on the International Space Station In 1937, Westinghouse created a seven-foot robot that could walk, talk, blow up balloons, and smoke cigarettes A. Today robots are used in many fields, including space 1. exploration and medicine Robots have become indispensable to space exploration. 2 Robots are becoming more and more important in medicine. 1. In 1497, Leonardo da Vinci designed a mechanical suit of armor that could sit up and move its arms, neck, and jaw. In addition, NASA sends robotic spacecraft to explore distant planets 2

Answers

Robots have captured the human imagination for centuries and have become indispensable in many fields, including space exploration and medicine. They have evolved from simple mechanical devices to advanced machines that assist in complex tasks.

Robots have been a source of fascination for humans for centuries. From Leonardo da Vinci’s mechanical suit of armor in 1497 to Westinghouse’s seven-foot robot in 1937, robots have come a long way. Today, robots are used in many fields, including space exploration and medicine. They allow surgeons to operate on patients from thousands of miles away and navigate hospital corridors to deliver pharmaceuticals, X-rays, and bandages. Astronauts use robots to perform maintenance on the International Space Station and NASA sends robotic spacecraft to explore distant planets.

To know more about robots here: brainly.com/question/29379022

#SPJ11

Which mapping represents y as a function?

Answers

Answer:

a

Step-by-step explanation:

Answer: J

Step-by-step explanation:


Can someone explain this step by step pls and no links

Answers

Answer: 12

Step-by-step explanation: Use the quadratic equation to solve the equation.

a = 1

b = -8

c = 12

Answer:

x=6 is the answer

Step-by-step explanation:

x squared -8 x +12=0

6 squared=36

36-8x +12=0

x= 6 so 8*6 =48

36-48+12=0

36-48= -12

-12+12=0

hope this helps

the ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41, and 22. what is the population variance?

Answers

To find the population variance of the ages of patients in the isolation ward, we need to calculate the average of the squared deviations from the mean.

To find the population variance, we follow these steps:

Find the mean (average) of the ages:

Mean = (38 + 26 + 13 + 41 + 22) / 5 = 28

Calculate the deviation of each age from the mean:

Deviation1 = 38 - 28 = 10

Deviation2 = 26 - 28 = -2

Deviation3 = 13 - 28 = -15

Deviation4 = 41 - 28 = 13

Deviation5 = 22 - 28 = -6

Square each deviation:

Deviation[tex]1^2[/tex] = [tex]10^2[/tex] = 100

Deviation[tex]2^2[/tex] = [tex](-2)^2[/tex] = 4

Deviation[tex]3^2[/tex] = [tex](-15)^2[/tex] = 225

Deviation[tex]4^2[/tex] = [tex]13^2[/tex] = 169

Deviation[tex]5^2[/tex] = [tex](-6)^2[/tex] = 36

Find the average of the squared deviations:

Variance = (100 + 4 + 225 + 169 + 36) / 5 = 106 / 5 = 21.2

Therefore, the population variance of the ages of patients in the isolation ward is 21.2.

Learn more about mean here:

https://brainly.com/question/30112112

#SPJ11

Question 1 Find the first six terms of the sequence. a1 -4, an -an-1+ 8 (1 point)

0,8, 16, 24, 32, 40
12.20,28, 36, 44, 52
4, 12, 20, 28, 36,44
4.8. 16, 24, 32,40

Question 2 Find the first six terms of the sequence. a1 -8, an 5 an-1(1 point)

-8,-40, -200,-1000,-5000, -25,000 .
8,-40-35,-30,-25,-20
0,5,-40, -35, -30,-25
40, -200, -1000, -5000, -25,000, -125,000

Answers

The correct answer is option is 3) 4, 12, 20, 28, 36, 44 and option is 1) -8,-40, -200,-1000,-5000, -25,000.

Question 1= The given sequence is a1 = -4 and an = an-1 + 8.

Here, to find the first six terms of the given sequence, we need to substitute the values of n from 1 to 6.

So, the first six terms of the given sequence are as follows:

The first term, a1 = -4.

Second term, a2 = a1 + 8 = -4 + 8 = 4.

Third term, a3 = a2 + 8 = 4 + 8 = 12.

Fourth term, a4 = a3 + 8 = 12 + 8 = 20.

Fifth term, a5 = a4 + 8 = 20 + 8 = 28.

Sixth term, a6 = a5 + 8 = 28 + 8 = 36.

So, the first six terms of the given sequence are  -4, 4, 12, 20, 28 and 36.

Hence, the correct option is 3) 4, 12, 20, 28, 36, 44.

Question 2= The given sequence is a1 = -8 and an = 5an-1.

Here, to find the first six terms of the given sequence, we need to substitute the values of n from 1 to 6.

So, the first six terms of the given sequence are as follows:

First term, a1 = -8.

Second term, a2 = 5a1 = 5(-8) = -40.

Third term, a3 = 5a2 = 5(-40) = -200.

Fourth term, a4 = 5a3 = 5(-200) = -1000.

Fifth term, a5 = 5a4 = 5(-1000) = -5000.

Sixth term, a6 = 5a5 = 5(-5000) = -25,000.

So, the first six terms of the given sequence are  -8, -40, -200, -1000, -5000 and -25,000.

Hence, the correct option is 1) -8,-40, -200,-1000,-5000, -25,000.

know more about  first six terms

https://brainly.com/question/30420953

#SPJ11

#8 Tessa has a plan for a set of stairs made of concrete, as shown. Each stair is 1 point the same width and height and is taller than the previous one by the same amount. What is the volume of concrete needed for the set of stairs?
Picture below:​

Answers

Answer: 2.43m^3

Step-by-step explanation:

A patient is given 3 mg of morphine to control pain. About 31% of any morphine in the blood is washed out every hour. (a) Construct a function that models the level M of morphine (in mg) in the blood t hours after one dose. M = (b) How much morphine (in mg) remains in the blood after 5 hours? (Round your answer to two decimal places.) mg (c) Estimate how long, in hours, it will take for the amount of morphine left to drop to 0.1 mg. (Round your answer to two decimal places.) h

Answers

a) the function that models the level M of morphine (in mg) in the blood t hours after one dose is M = [tex]3 * (0.69)^t[/tex]

b) 0.50 mg of morphine remains in the blood after 5 hours.

c) it will take approximately 14.67 hours for the amount of morphine left to drop to 0.1 mg.

(a) To construct a function that models the level M of morphine (in mg) in the blood t hours after one dose, we can use the formula for exponential decay:

M = [tex]initial amount * (1 - decay rate)^t[/tex]

Given that the patient is initially given 3 mg of morphine and 31% (0.31) of any morphine is washed out every hour, we can write the function as:

M = [tex]3 * (1 - 0.31)^t[/tex]

Simplifying further, we have:

M = [tex]3 * (0.69)^t[/tex]

Therefore, the function that models the level M of morphine (in mg) in the blood t hours after one dose is M = [tex]3 * (0.69)^t[/tex]

(b) To find out how much morphine remains in the blood after 5 hours, we can substitute t = 5 into the function and calculate the value of M:

M = 3 * (0.69)⁵

M ≈ 3 * 0.1681

M ≈ 0.5043

So, approximately 0.50 mg of morphine remains in the blood after 5 hours.

(c) To estimate how long it will take for the amount of morphine left to drop to 0.1 mg, we need to find the value of t when M = 0.1 in the function:

0.1 = [tex]3 * (0.69)^t[/tex]

Dividing both sides by 3:

0.0333 ≈ [tex](0.69)^t[/tex]

Taking the logarithm of both sides:

log(0.0333) ≈ [tex]log[(0.69)^t][/tex]

Using the logarithm properties, we can bring down the exponent:

log(0.0333) ≈ t * log(0.69)

Now, we can solve for t by dividing both sides by log(0.69):

t ≈ log(0.0333) / log(0.69)

Calculating this expression:

t ≈ -2.3859 / -0.1625

t ≈ 14.67

So, it will take approximately 14.67 hours for the amount of morphine left to drop to 0.1 mg.

Learn more about Decay here

https://brainly.com/question/31398300

#SPJ4

use a known maclaurin series to obtain a maclaurin series for the given function. f(x) = xe5x

Answers

The maclaurin series for the given function xe⁵ˣ = x + 5x² + (25x³)/2! + (125x⁴)/3! + ...

To find the Maclaurin series for the function f(x) = xe⁵ˣ, we can utilize the Maclaurin series expansion of the exponential function, eˣ:

eˣ = 1 + x + (x²)/2! + (x³)/3! + ...

Substituting 5x for x in the above expansion, we have:

e⁵ˣ = 1 + 5x + (5x)²/2! + (5x)³/3! + ...

Multiplying the above series by x, we get:

xe⁵ˣ = x + 5x² + (25x³)/2! + (125x⁴)/3! + ...

This is the Maclaurin series for the function f(x) = xe⁵ˣ.

The calculation involves applying the Maclaurin series expansion of the exponential function to the function f(x) = xe⁵ˣ by substituting 5x for x in the series expansion. Then, multiplying the resulting series by x gives us the desired Maclaurin series for f(x).

The series can be continued by following the pattern of increasing powers of x, with the coefficients determined by the corresponding terms in the expansion.

To learn more about maclaurin series click on,

https://brainly.com/question/31675701

#SPJ4

help i really need help WILL GIVE BRAINLIEST

Answers

Answer:

3 and 4

Step-by-step explanation:

___ divided by 3x3 =12

Answers

Answer:

108

Step-by-step explanation:

Answer:

108 hope this helps! :)

Let S be any sample space, and E, F and G be any three events. Describe the event that E and F occur, and G does not occur.
a) ( E ∪ Fc ) ∩ G
b) ( E ∪ F ) ∩ G
c) ( E ∪ F ) ∩ Gc
d) ( E ∩ F ) ∪ Gc
e) E ∩ F ∩ Gc
f) None of the above.

Answers

The event that E and F occur, and G does not occur is E ∩ F ∩ Gc. So, correct option is E.

The event that E and F occur, and G does not occur can be represented by the expression (E ∩ F) ∩ Gc. Let's break down the options provided to determine the correct representation:

a) (E ∪ Fc) ∩ G: This represents the event where either E or the complement of F occurs, and G occurs. It does not capture the condition that both E and F occur.

b) (E ∪ F) ∩ G: This represents the event where either E or F occurs, and G occurs. It does not exclude the possibility of E and F occurring together.

c) (E ∪ F) ∩ Gc: This represents the event where either E or F occurs, and G does not occur. However, it does not specify that E and F occur together.

d) (E ∩ F) ∪ Gc: This represents the event where either E and F occur together or G does not occur. It does not exclude the possibility of E and F occurring without G.

e) E ∩ F ∩ Gc: This correctly represents the event where both E and F occur together, and G does not occur. This is the desired outcome as stated in the question.

Therefore, the correct representation for the event is option e) E ∩ F ∩ Gc.

To learn more about sample space/events click on,

https://brainly.com/question/31974975

#SPJ4

ra elaborar un pastel de 2 kg, se necesitan, ¾ de kg de harina y 4 huevos (con un peso de 100 gr cada uno), además de otros ingredientes. ¿Cuál es el peso que tienen los demás ingredientes del pastel?

Answers

Based on the above, the weight of the other ingredients in the cake is about 850 grams.

What is the weight about?

To determine the weight of the other ingredients in the cake, one need to subtract the weight of the flour as well as the eggs from the total weight of the cake.

Note that from the question:

Weight of flour = ¾ kg = 750 gNumber of eggs = 4Weight of each egg = 100 g

So: Weight of flour and eggs = (Weight of flour) + (Number of eggs × Weight of each egg)

= 750 g + (4 × 100 g)

= 750 g + 400 g

= 1150 g

Hence: The Total weight of the cake = 2 kg = 2000 g

Going further:

Weight of other ingredients = Total weight of the cake - Weight of flour and eggs

= 2000 g - 1150 g

= 850 g

Therefore, the weight of the other ingredients that is seen in the cake is 850 grams.

Learn more about weight  from

https://brainly.com/question/29892643

#SPJ1

See text below

To make a 2 kg cake, ¾ kg of flour and 4 eggs (weighing 100 g each) are needed, in addition to other ingredients. What is the weight of the other ingredients in the cake?

Just need the answer of what the surface area is

Answers

Answer:

54

Step-by-step explanation:

Please can someone help me?

Answers

Answer:

weight of a water=0.5

spherical ball is filled With water=0.95.

so dear for

22\7*0.5*0.95=1.49

given the system of equations x 3y z = −2 2x 5y z = −5 x 2y 3z = 1 . the determinant of the matrix of coefficients is −3. the value of z in the solution set is:: (a) z=−2/3 (b) z=5/3 (c) z=4/3 (d) z=−2 (e) None of the above

Answers

The value of z in the solution set is approximately -8.33 for the determinant of the matrix of coefficients is −3, Option E is the correct answer.

To solve the system of equations, we can use the method of determinants. The value of z can be determined by finding the determinant of the matrix of coefficients.

The given system of equations can be represented as:

| 1 3 1 | | x | | -2 |

| 2 5 1 | × | y | = | -5 |

| 1 2 3 | | z | | 0 |

The determinant of the matrix of coefficients is -3, which is non-zero. This means that the system of equations has a unique solution.

To find the value of z, we need to calculate the determinant of the matrix obtained by replacing the z-column with the constants column:

| 1 3 -2 |

| 2 5 -5 |

| 1 2 0 |

Using the rule of determinants for a 3x3 matrix, we can calculate the determinant:

Det = (1 × (50 - -52)) - (3 × (20 - -51)) + (-2 × (2 × -5 - 51))

= (1(0 + 10)) - (3 × (0 + 5)) + (-2 × (-10 - 5))

= (110) - (35) + (-2 × -15)

= 10 - 15 + 30

= 25

Since the determinant is non-zero, the system has a unique solution. To find the value of z, we divide the determinant of the matrix obtained by replacing the z-column with the constants column by the determinant of the matrix of coefficients:

z = Detz / Det

= 25 / -3

= -8.33

Therefore, the value of z in the solution set is approximately -8.33.

Learn more about the determinant of the matrix at

https://brainly.com/question/14405737

#SPJ4

The question is -

Given the system of equations x + 3y + z = -2

                                                   2x + 5y + z = -5

                                                   x+ 2y + 3z = 0

The determinant of the matrix of coefficients is -3. The value of z in the solution set is:

(a) z=−2/3

(b) z=5/3

(c) z=4/3

(d) z=−2

(e) None of the above

Other Questions
Explain the parts of Darwins Theory of Natural Selection.Fake answers will be reported Atmospheric pressure on the peak of Mt. Everest can be as low as 0.197 atm, which is whyclimbers need to bring oxygen tanks for the last part of the climb. If the climbers carry 10.0liter tanks with an internal gas pressure of 40 atm, what will be the volume in liters of the gaswhen it is released from the tanks? If you believe that price of stock A will go up and the volatility of the underlying stock will decrease, what will you do? 3. Please rank the following topics from most to least interesting: (Fire Ecology - (FE), Noise Pollution and Mitigation Strategies (NP), College Majors and Careers in the Environment (CC), Great Pacific Garbage Patch (GP), EcoTourism 1. 2. 3. 4. 5. 6. how does austen hint at causes for lydias immoral behavior through mrs. bennets behavior? How did the Underground Railroad work and for how long did it run? Read this excerpt. The author uses the phrase"forests of defenders" to help readers visualize theMessi, meanwhile, stands just 5 feet 7 inchestall. Short and quick, he has a knack for keepingpossession in the tightest of spaces. The ball seemsto never leave his foot. That allows Messi to dribblethrough forests of defenders and continue his attackAgoalkeeper trying to stop Messi from scoring.Btight spaces that Messi dribbles through.on the netopposing players winning back the ball.Ddimensions of a professional soccer field. in dividend discount model , why the growth rate g is deducted from the required rate of return at denominator rather than multiplying (1 g) to the dividend at numerator in the equation? 1. What are some common (real world) examples of intermodaltransportation? Briefly describe how each works Lipto Biomedical has credit sales of $740,000 yearly with credit terms of net 60 days, with an average collection period of 75 days. Lipto does not offer a discount for early payment.A) What is the average receivables balance? What is the receivables turnover?B) If Lipto offered a 3 percent discount for payment in 10 days and every customer took advantage of the new terms and paid on the tenth day, what would the new average receivables balance be? Use the full sales of $740,000 for your calculation of receivables.C) If Lipto reduces its bank loans, which cost 8 percent, by the cash generated from reduced receivables, what will be the net gain or loss to the firm? Should it offer the discount?D) Assume the new trade terms of 3/10, net 30 will increase sales by 12 percent because the discount makes Lipto price competitive. If Lipto earns 19 percent on sales before discounts, should it offer the discount? How many organisms in the food web feed on the mice? A. 5 B. 2 C. 3 D. 4 A car braked with a constant deceleration of 36 ft/s2, producing skid marks measuring 50 ft before coming to a stop. How fast was the car traveling when the brakes were first applied (07.03 MC)An advantage of disposing of municipal solid waste in a landfill rather than in anincinerator is that, unlike incinerators, landfillscan be used to generate electricitydo not require electricity to operatedo not contribute greatly to smog or acid raincan store hazardous materials such as motor oils and pesticides Find the length of the third side. If necessary, write in simplest radical form. Julie and Kristen are partners in a local sporting good store. They needed $51,000 to start thebusiness. They invested in the ratio of 3:10 respectively. How much money did each invest?What percent is owned by Kristen? This here bob the bulder is valid yes or nah? Two identical metal objects are insulated from their surroundings. Object A has a net charge of excess electrons. Object B is grounded. Which object is at a higher potential?a) Ab) Bc) Both are at the same potential.d) Cannot be determined without more information. The radius of a sphere is 6 units.Which expression represents the volume of the sphere,in cubic units?607(6)0 -1(6):07(12)07(12)Save and ExitNextSubmit The stemplet below displays midterm exam scores for 34 students taking a calculus course. The highest possible test score was 100. The teacher declared that an exam grade of 65 or higher was good enough for a grade of C 4148 53344 62335567 10012356 81135 9039 The percent of students who did not cam a grade of C or higher (as declared by the teacher) is closest to a 65% 26.35% 50% 80% QUESTION 3 A group of veterinary researchers plans a study to estimate the average number of enteroliths in horses suffering from them. Previous research has shown the variability in the number to be -2. The researchers with the margin of error to be no larger than 0.5 for a 99% confidence interval. To obtain such a margin of error, the researchers nood at least: Ca 107 observations b.54 observations c5) observations. 106 observations HELP DUE IN 10 MINUTES