Step-by-step explanation:
If a boy student was picked, the probability that they passed is 0.25 * 0.4 = 0.1.
If a girl student was picked, the probability that they passed is 0.75 * 0.25 = 0.1875.
Total probability = (0.1 + 0.1875) * 100% = 28.75%.
g Find the required probabilities using the exponential density function f(t) = 1 λ e−t/λ, [0, [infinity]). The time t (in years) until failure of a component in a machine is exponentially distributed with λ = 3.5. Find the probabilities that the lifetime of a given component will be less than 1 year, more than 2 years but less than 4 years, and at least 5 years. (Round your answers to three decimal places.) (a) less than 1 year (b) more than 2 years but less than 4 years (c) at least 5 years
Answer:
(a) less than 1 year =0.751488
(b) more than 2 years but less than 4 years = 0.2458
(c) at least 5 years= 0.760331
Step-by-step explanation:
f(t) = 1 λ e−t/λ, [0, [infinity])
First we calculate the probability for an exponential random variable X with parameter λ
P (X= t) = ∫ 1 λ e−t/λ, dt
P (x=t) = e−t/λ,
λ = 3.5
Now P (X< 1 ) = ∫ 1 λ e−t/λ, dt [the limits are (-∞ to 1)]
= e−1/3.5= 0.751488
P ( 2<X< 4 ) = ∫ 1 λ e−t/λ, dt [ the limits are (2 to 4)]
=e−2/3.5- e−4/3.5
= e-0.57142-e-1.142857
= 0.5647-0.31890
= 0.2458
P (at least 5) = 1- P (x=5)
= 1-∫ 1 λ e−t/λ, dt [ the limits are (∞ to 5)]
= 1- e−5/3.5
= 1 - e-1.4285
= 1-0.239
= 0.760331
Calculate had a net income of 5 million dollars in 2010, while a small competing company, Computate, had a
net income of 2 millions dollars. The management of Calculate develops a business plan for future growth
that projects an increase in net income of 0.5 million per year, while the management of Computate
develops a plan aimed at increasing its net income kshy15% each year.
a. Create standard mathematical model (table, graph, or equations) for the projected net income for the
next 10 years for both companies. Make sure that each model is accurate and labeled properly so that it
represents the situation
b. If both companies were able to meet their net income growth goals, which company would you choose
to invest in? Why?
c. When, if ever, would your projections suggest that the two companies have the same net income? How
did you find this? Will they ever have the same net income again?
9514 1404 393
Answer:
a) see the attached spreadsheet (table)
b) Calculate, for a 10-year horizon; Computate for a longer horizon.
c) Year 13; no
Step-by-step explanation:
a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.
__
b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.
The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.
__
c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.
OMG HERE I AM ASKING THIS QUESTION FOR TH 3THIRD TIME SMH JUST ANSWER IT!!!!!!
Answer:
4 and 5 unsolved
Step-by-step explanation:
Answer:17/20
Step-by-step explanation: multiply the denominators by each other and then multiply the numerators by the opposite denominators and then add them both together- 4 x 5=20 1 x 5=5 3 x 4=12
5+12=17
17/20
simplest form
Urgent plss! Thanks For the answers
==================================================
Work Shown:
[tex]\displaystyle \lim_{x \to 3} \frac{f^2(x)-4}{f^2(x)-f(x)-2}\\\\\\\displaystyle \lim_{x \to 3} \frac{(f(x)-2)(f(x)+2)}{(f(x)-2)(f(x)+1)}\\\\\\\displaystyle \lim_{x \to 3} \frac{f(x)+2}{f(x)+1}\\\\\\\displaystyle \frac{f(3)+2}{f(3)+1}\\\\\\\displaystyle \frac{2+2}{2+1}\\\\\\\displaystyle \frac{4}{3}\\\\\\[/tex]
Notes:
In step 2, I used the difference of squares rule to factor the numerator. The denominator can be factored through trial and error. The key here is the f(x)-2 terms that show up in each. Those factors cancel in step 3.
Afterward, we apply the substitution rule, [tex]\displaystyle \lim_{x \to a} f(x) = f(a)[/tex], so basically I plugged in x = 3. Then evaluated f(3) = 2 due to the point (3,2).
A fruit vendor sells apples and mangos. Each apple costs the same amount, and each mango costs the same amount.
· Lucy buys 3 apples and 6 mangos for a total of $9.15.
· Amir buys 8 apples and 4 mangos for 11.92.
What is the cost of a single apple?
Answer:
$0.97
Step-by-step explanation:
Let the cost of a single apple is x and that of single mango is y.
ATQ,
3x+6y=9.15 ....(1)
8x+4y=11.92 ...(2)
Multiply equation (1) by 8 and equation (2) by 3
24x+48y=73.2 ...(3)
24x+12y=35.76 ...(4)
Subtract equation (2) from (1) :
24x+12y-(24x+48y) = 35.76 - 73.2
12y-48y = -37.44
-36y = -37.44
y = $1.04
Put the value of y in equation (1)
3x+6y=9.15
3x+6(1.04) = 9.15
3x = 9.15-6(1.04)
3x = 2.91
x = $0.97
Hence, the cost of single apple is $0.97.
Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent
Answer:
$116
Step-by-step explanation:
the total discount is 20-15 = 5%
the dicount = (5*120)/100 = $4
So she bought it with price = 120 - 4 = $116
Answer: 8%
Step-by-step explanation:
1. Apply the discount to the original price
20% of 120 (0.2*120) is 24, thus Genna saves 24 dollars
120-24 = 96 (the new price of the shoes, with the coupon applied)
2. Apply the service fee to the discounted price
15% of 96 (0.15*96) = 14.4
This number is the amount of money being added to the discounted price, as it is an additional fee
96 + 14.4 = 110.4
3. Find the percent discount Genna's shoes are using the new price.
1 - (New price/Old price) = Percent discount
110.4/120 = 0.92
1 - 0.92 = 0.08
The shoes are 92% of the original price. Thus, the shoes are 8% less than the original price.
For the frieze pattern to the right , describe all transformations that map the pattern onto itself.
Select all that apply
A. Reflection across one or more horizontal lines
B. Reflection across one or more vertical lines
C. Glide reflection
D. Rotation
E. Translation
All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).
All these translations have predetermined rules that we apply to the figures.
The congruence of a triangle can be obtain through Rotation; Translation; or Reflection.
For this particular strip pattern onto itself, can be obtained by a horizontal translation and a reflection across a vertical line
All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.
Learn more about reflection here;
https://brainly.com/question/28186407
#SPJ2
7x+8y=-23
3x - 16y= 29
Answer:
(-1, -2)
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO RIGHT ANSWER: The length of a bridge on a map is 1.5 cm. What is the actual length of the bridge in meters if the map is drawn at a scale of 1 : 40,000.
Answer: 600 m
Step-by-step explanation:
Imagine we have measured a distance as 1.5 cm on this map, and we want to find out how far this is in real life.
To work out the distance in real life, we need to multiply this length by 40,000.
This gives 1.5 cm × 40,000 = 60,000 cm which is 600 m or 0.6 km.
Sol b : Alternatively, we could have just remembered that each 1 cm on the map is 0.4 km in real life.
Hence, 1.5 cm on the map must be 1.5 × 0.4 km = 0.6 km in real life.
Solve using substitution.
y = 3x – 6.
y = 2x – 1
Answer:
x = 1 and y = 3
Step-by-step explanation:
To use substitution, you want to substitute something for another variable. So lets take the first equation and solve for y
2x - y = -1
2x = y - 1
2x + 1 = y
Now we can substitute 2x + 1 for y in the other equation
3x + 2x + 1 = 6
5x = 5
x = 1
now that we have x, we can get y
2(1) - y = -1
2 - y = -1
2 = y - 1
3 = y
So x = 1 and y = 3
-22.8 = 6n helllllpppppp
Answer:
n = -3.8
Step-by-step explanation:
Which statement represents a battery with no cellphone battery life .
1. Jennifer’s iPhone charges 3% and she used 2% of the battery life .
2. Jeff’s iPhone charged 42% and then he charged it another 42%
3. Rianny’s iPhone was charged 80% and she used 80% of the battery life .
4. Megan used 15% of her iPhone’s battery life and then used another 15% of the battery life .
Answers ASAP !!!!!
Answer:
The correct answer is choice 3
Step-by-step explanation:
80 - 80 = 0
bruh
Answer:the answer would be C
Step-by-step explanation:
The table below shows some prices at a produce stand.
Produce Price per Pound
Onions $2.25
Yellow Squash $2.99
Spinach $4.00
Potatoes $2.50
Florence wants to spend no more than $4 on onions. Will she be able to buy 1.9 pounds of onions? Complete the explanation. Enter your answer as a decimal rounded to tenths.
HELPPPPP PLEASE!
2х2 – 3х – 5 = 0
How can I solve this in quadratic form
Answer:
x= -1/3
Step-by-step explanation:
I tried my best but this is the anwser I got for my same problem
hope this helps my guy!!!
b=9 c=4 bc+12.3=?
AAAAAAAAAAAAAAAAAAAAAAAAAASAP
Answer:
48.3
Step-by-step explanation:
since b = 9 and c = 4
9 x 4 = 36 and 36 + 12.3 = 48.3
F(x)=-3(x-1) find f(0)
Answer: 3 (x-1)
______
x
Step-by-step explanation:
so thats 3(x-1) over x
have a good day! :)
plz give me brainliest
Answer:
3
Step-by-step explanation:
F(x)=-3(x-1) find f(0)
F(0) = -3(0-1)
F(0) = -3(-1)
F(0)= 3
WILL GIVE BRAINLIEST :)
Answer:
c
Step-by-step explanation:
it would have some exponent but its the only one that is constant
What is the slope of
y = -5x + 14
Answer:
0
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
y=-5x+14 is in the form of y=mx+b.
m is the slope and b is the y-intercept.
So m = -5 and -5 is the slope
Find the value of angle GFD.
Group of answer choices
24
58
34
122
Answer:
∠GFD = 58°Step-by-step explanation:
∠F = 180 - 24 - 34
∠F = 122
∠GFD = 180 - 122
∠GFD = 58°
Solve the equation
5x - ( 4x - 1) = 2
a. 1/9
b. - 1
c. - 1/9
d. 1
from the choices provided
Answer:
5x-4x+1=2
5x-4x=2-1
x=1ans
Answer:
D. 1
Step-by-step explanation:
The school carnival has a booth of where people can win prizes by guessing the correct number of items in different sized jars just by looking at them. Jessica really wants the cylinder shaped jar full of sour jawbreakers. What would get her closest to the correct number of jawbreakers without being disqualified from the contest?
Answer:
D
Step-by-step explanation:
What’s the answer to this radical function
Step-by-step explanation:
We have,
[tex]f(x) = - 2 \sqrt[3]{x + 7} [/tex]
Taking limit,
[tex] \lim _{x \rarr \infty } f(x) \\ = \lim _{x \rarr \infty } - 2 \sqrt[3]{x + 7} [/tex]
If x approaches to positive infinity,
this implies f(x) approaches to negative infinity
CAN SOMEBODY HELP ME ASAP
For Cynthia's fourth lab report, she calculated the ratio of velocities before and after the impact of a basketball bouncing on a court. This measurement is called the coefficient of restitution. She got the following four values.
0.72
0.75
0.73
0.76
The accepted value is 0.77.
Cynthia's percent error was [blank]−−−−−−%.
Enter your answer as the number that correctly fills in the blank, rounded to two decimal places, like this: 42.53
Answer:
average of all four is 0.74 (add all 4 then divide by 4). take 0.77 minus 0.74. 0.03/0.77 times 100 = 3.8961% to two decimal places would be 3.90%
If f(x)=|x−5|+2, find f(3)
Answer:
f(3) = 4
Step-by-step explanation:
The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.
Thus, based on the function:
f(x)=|x−5|+2
f(3) = |3−5|+2
f(3) = |-2|+2
-Absolute value of -2 = 2-
f(3) = 2+2
f(3) = 4The y-intercept of 2x - y = 6 is -6.
O False
True
Answer:
It is true
Step-by-step explanation:
Convert to slope-intercept form:
2x-y=6
-y=6-2x
y=-6+2x
y=2x-6
Since y=mx+b is the form we want, then b=-6, making the statement true.
Answer:
true
Step-by-step explanation:
you switch the 2x to the other side to get -y = 2x + 6
then you multiply everything by -1 to get y = -2x-6
-6 is the y int
What is the product of 10 and 3/4
Jill would like an increase in the hourly wage she receives from the Mathematics Research Center, where she works in the mail room. Her boss gives her an equation to solve, telling her that her raise is the solution to the equation, but only if she can solve it. The equation is x 2- 6x + 9 = 0. What was the amount of her raise per hour? Answer:
Answer:
Her raise per hour is $3.
Step-by-step explanation:
Quadratic Equation
The standard representation of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
It can be solved by using the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Jill asks for an increase in the hourly wage she receives. Since she works in a Maths Center, the increase comes as a maths equation.
She must solve the equation:
[tex]x^2-6x+9=0[/tex]
The solution to the equation is the increase in her hourly wage.
Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:
[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]
[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]
Since the square root is 0, there is only one solution:
[tex]\displaystyle x=\frac{6}{2}=3[/tex]
x = 3
Thus, her raise per hour is $3.
If each of two complementary angles has the same measure, then each angle will equal _____.
22.5°
90°
180°
45°
Answer:
45
Step-by-step explanation:
Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x.
−x − 10 > 14 + 2x
−3x − 10 > 14
_____________
x < −8
Step-by-step explanation:
-3x - 10 > 14
-3x > 24 (add 10 to both sides)
x < -8 (divide by -3, flip inequality sign)
The missing step is -3x > 24.
i need also need help with this
Answer:
umm you need help with what
Step-by-step explanation:
there is no question