A class has 45 students. Each student has either 5 dollars or 2 dollars. Which Which situation results in the class having an average of 3 dollars per student

Answers

Answer 1

Step-by-step explanation:

an average of $3 per student would mean

sum(all students $) / 45 = 3

sum(all students $) = 3×45 = 135

x students have $5.

therefore (45-x) students have $2.

5x + 2(45-x) = 135

5x + 90 - 2x = 135

3x = 45

x = 15

so, 15 students have $5, and 45-15 = 30 students have $2.


Related Questions

Question 5 of 20
(___)^2=(secx-1)(secx+1)

answer here:

Answers

42 because there is something to the equation. Where is will most likely make u fail so don’t take my answer because u will fail


The scatterplot that represents the monthly values of stock QRS has an r-
value of -0.993. Which best describes the correlation of the graph?
OA. Weak correlation
B. Strong positive correlation
C. Strong negative correlation
OD. No correlation

Answers

Answer:

C

Step-by-step explanation:

Because it's a negative, then we could assume that it is a negative correlation. And because it's closer to -1, it is a strong negative correlation.

The value -0.993 is Strong Negative correlation.

What is Coefficient Correlation?

The strength and direction of two variables in a scatterplot are quantified by the correlation coefficient, or r value. It goes from one to one.

A perfect positive correlation is denoted by +1.A perfect negative correlation is denoted by -1.0 indicates a lack of association

So, the value close to 1 is Strong positive correlation and close to -1 is Strong Negative correlation.

Thus, -0.993 close to -1 is Strong Negative correlation.

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What are the period, phase shift, and vertical shift of y = csc[3(x 4)] 6?

Answers

The period of the given function is  2π/3, the phase shift is 4, and the vertical shift is 6 units.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a trigonometric function:

y = csc[3(x+ 4)]+ 6

Every each revolution of 2π the function repeats the same value for every x.

The period of the original function is 2π

For the given function plug 2π

y = csc[3(x+ 4)+2π]+ 6

y = csc[3(x+ 2π/3+4)]+ 6

The period of the function will be 2π/3

From the function, the phase shift = 4

And vertical shift = 6

Thus, the period of the given function is  2π/3, the phase shift is 4, and the vertical shift is 6 units.

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Option 3

Step-by-step explanation:

We have a part-whole ratio of 2 : 10. How can we represent this ratio as a percent?

Answers

since there’s a 10 multiple both sides by 10 and it gives you 20/100 which is 20%

Answer:

20%

Step-by-step explanation:

2:10 = 2/10 = 20/100 = 20%

You decide to go to dinner with three friends. Before the check comes, the group decides to split the check evenly. The total
check is $134.50. As a group you decide to tip the waiter 20% on top of the total check amount. How much money should
you and each friend pay, including tip? Round your answer to the nearest cent.

Answers

Answer:

You each will pay $40.35

Step-by-step explanation:

First you take the total  $134.50 and divide it by 4 which is you and your three friends.

This will give you 33.625 which is the amount each of you will pay without tip.

To find the tip you take 20% from $134.50 which will give you 26.9 and when you divide that by the four of you it will give you 6.725.

Then you take your amount 33.625 plus your tip 6.725 which will give you $40.35.

The total you all will pay will be $161.40 this is the total $134.50 plus the tip $26.90.

Hope this helped.

8. Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).
a. What is a possible coordinate of the third vertex if the triangle has
a perimeter of 11 units? Explain.
b. Is there another point that could be the third vertex? Explain.
par poib
signe

Answers

Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).

a. What is a possible coordinate of the third vertex if the triangle has

a perimeter of 11 units? Explain.

b. Is there another point that could be the third vertex? Explain.

par poib

signe

Use the order of operations to evaluate the numerical expression.

Answers

Answer:

I'm sorry but I need some numbers to solve. we just learned this in class so I'm new though

Step-by-step explanation:

Needs numbers

7!

——————-
————-

please help!!

——————
math geniuses where r uuuu

————

help!

Answers

Answer:

It is the fourth option, D.

Write an algebraic equation for the following.
A number raised to the fifth power is four less than ten times the number.
A. 5x = 10x - 4
B. x³ =4-10x
C. 5x4-10x
D. x³ = 10x-4

Answers

Answer:

a

Step-by-step explanation:

raise to five

less than

ten times

A is directly proportional to B.
When A = 12, B = 3
Find the value of A when B=5

Answers

Answer:

a= 20

Step-by-step explanation:

12/3

a/5

60 = 3a

a = 60/3 = 20

Jade jade made 2 quarts of salsa for a party. tania brought twice as march salsa for the party. how many pints of salsa do the girls have in all

Answers

Answer:

6 quarts of salsa in all

"Twice" indicates multiplying by 2, so multiply 2 by 2 to get 4.

That's not the end of the problem, though. "In all" indicates that we must add the values together. 2 plus 4 is 6, so your answer is 6.

(3x + 1) + 8 (2x - 3) = 4 (3x -1) -7 (x -4) ayúdenme

Answers

Step-by-step explanation:

[tex](3x + 1) + 8(2x - 3) = 4(3x - 1) - 7(x - 4) \\ 3x + 1 + 16x - 24 = 12x - 4 - 7x + 28 \\ 19x - 23 = 5x + 24 \\ 19x - 5x = 24 + 23 \\ 14x = 47 \\ x = \frac{47}{14} [/tex]

Find the mean of the data.

9, 56, 24, 59, 2

Answers

Answer:

24 because it is the middle number

Step-by-step explanation:

Simplify the following expression. (3m-4)²+8(3m-2)

A. 8m/4

B. 9m/4

C. 3m+24/4

D. 3m+28/4

Answers

Step-by-step explanation:

(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =

= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =

= 9m² - 24m + 16 + 24m - 16 = 9m²

so, there is seemingly something missing in your original expression.

going from 9m², the most likely solution would be 9m/4 and therefore B.

but we cannot be sure, because again, I don't know what you left out in the beginning.

What is the area of a triangle whose vertices are J(-2, 1), K(0, 3), and L(4,4)?

Answers

Answer: 3

Step-by-step explanation:

what is the surface area

Answers

The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Formula is SA=2lw+2lh+2hw

A small class has 10 students, 6 of whom are girls and 4 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the teacher will choose two girls? Write your answer as a fraction in simplest form.

Answers

Answer:

2

5

Step-by-step explanation:

fraction of girls in the class is 6

5

so........the total number of girls is 6 and only 2 are chosen,meaning you have to subtract 2 from 6 which is 4 and then 4

10(total number of students) is

2

5 when simplified

A paint mixes green and white paint in the ratio 13:50. 4 litres of white paint are used. How much green is used? please help me​

Answers

Answer:

1.04 liters

Step-by-step explanation:

If 50 is 4liters

Then 13 is x

Use this below equation

Value t is for value y then how much for value z

[tex]x = \frac{t}{y} \times z[/tex]

X = 4/50 *13

X = 1.04liters

Or

13/50 = x/4 (cross multiply)

50X = 52

X = 52/50

X = 1.04 liters

3. A man stands 200 ft to the left of where a car starts moving north. The car is
moving at 50ft/sec. (a) Find the rate at which the diagonal distance from the man
to the car is changing once the car has been traveling for 10 seconds. (b) Find the
rate at which the angle from the man to the car is changing at the same moment
(10 seconds after the car starts moving). Round answers to 4 decimal places.
200 ft
car (moving at 50 ft/sec)
O

Answers

The length of the diagonal will be 538.5 ft. Then the rate at which the angle from the man to the car is changing at the same moment will be 46.43 ft/s.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A man stands 200 ft to the left of where a car starts moving north. The car is moving at 50ft/sec.

The rate at which the diagonal distance from the man to the car is changing once the car has been traveling for 10 seconds. Then the length of the diagonal will be

L² = x² + y²

L² = 200² + (50 × 10)²

L² = 40000 + 250000

L² = 290000

L = 538.50 ft

Then the rate at which the angle from the man to the car is changing at the same moment will be

L² = x² + y²

Differentiate with respect to time, then we have

         2L (dL/dt) = 0 + 2y (dy/dt)

2(538.5) (dL/dt) = 2 (500) (50)

                dL/dt = 46.43 ft/sec

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Which is an equation of an asymptote of the hyperbola? y = 3x 10 y = –3x 8 y = x 2 y = x

Answers

The equation of the asymptote of the hyperbola is y = 3x + 10

How to determine the asymptote?

From the complete question the asymptote passes through the points:

(x,y) = (-1, 7) and (-3,1)

The slope of the line is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{7 - 1}{-1 + 3}[/tex]

This gives

m = 3

The equation is then calculated using:

y = m(x -x1) + y1

This gives

y = 3(x + 1) + 7

Evaluate

y = 3x + 3 + 7

y = 3x + 10

Hence, the equation of the asymptote is y = 3x + 10

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0.596 as a fraction and 0.596 as a percentage.

Answers

596/1000 and 59.6%

Step-by-step explanation:

because when we make 596/1000 is 0.596

If the area of a circle is 90 cm​, what is its​ radius?

Answers

Answer:

r= 5.35

Step-by-step explanation:

Answer:

the radius is .... 5.35 :P

kaii~

What is the greatest common factor of

21xy^3 6x^4y^2

A. 42x^4 y^3

B. 42x^5 y^5

C. 3x^4 y^3

D. 3xy^2

Answers

The answer is D. 3xy^2

Below is the work a student completed with an error. Identify the step where the error first occured an
Step 1: (7 - 10) – 2(6y - 5) + 17
Step 2: (3) - 12y – 5 + 17
Step 3:3 - 12y + 12
Step 4: - 12y + 15
А
Step 2
B
Step 3
C
Step 4
D
Answer should be 12y - 9
E
Answer should be 12y + 9
C2022 Illuminate Education, Inc.
TM

Answers

Answer:

Step 2

Step-by-step explanation:

Solving

(7 - 10) - 2(6y - 5) + 17 [Step 1]3 - 12y + 10 + 18 [Step 2]3 - 12y + 28 [Step 3]-12y + 31 [Step 4]

The error has occurred in Step 2.

The distribution of -2 to 6y and -5 gives -12y and 10 respectively.

Instead, the distribution has not happened between -2 and -5.

Given that P(A or B) = 13, P(A)= 14, and P(A and B) = 18…. find P(B)
struggling with this could use some help + work explination, i havent been to class in weeks!

Answers

The value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Here is the formula for the probability of an exclusive event:-

[tex]P(AUB)=P(A)+P(B)-P(A\cap B)[/tex]

[tex]13=14+P(B)-18[/tex]

[tex]P(B)=17[/tex]

hence the value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.

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Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

Answers

Answer:

[tex]V=12\pi\:\text{units}^3[/tex]

Step-by-step explanation:

[tex]\displaystyle V=\frac{\pi r^2h}{3}\\ \\V=\frac{\pi (3)^2(4)}{3}\\\\V=\pi(3)(4)\\\\V=12\pi[/tex]

Given that ‘z’ is in set of complex number and ‘a’ is any real numbers. Solve the trigonometric equation sin(z) = a for all general solutions.

Answers

Recall that for all [tex]z\in\Bbb C[/tex],

[tex]\sin(z) = \dfrac{e^{iz} - e^{-iz}}{2i}[/tex]

so that

[tex]\sin(z) = a \iff e^{iz} - e^{-iz} = 2ia[/tex]

Multiply both sides by [tex]e^{iz}[/tex] to get a quadratic equation,

[tex]e^{2iz} - 2iae^{iz} - 1 = 0[/tex]

Solve for [tex]e^{iz}[/tex]. By completing the square,

[tex]e^{2iz} - 2ia e^{iz} + i^2a^2 = 1 + i^2a^2[/tex]

[tex]\left(e^{iz} - ia\right)^2 = 1 - a^2[/tex]

[tex]e^{iz} - ia = \pm \sqrt{1-a^2}[/tex]

[tex]e^{iz} = ia \pm \sqrt{1-a^2}[/tex]

[tex]iz = \log\left(ia \pm \sqrt{1-a^2}\right)[/tex]

[tex]iz = \ln\left|ia \pm \sqrt{1-a^2}\right| + i \left(\arg\left(ia \pm \sqrt{1-a^2}\right) + 2\pi n\right)[/tex]

[tex]\boxed{z = -i \ln\left|ia \pm \sqrt{1-a^2}\right| + \arg\left(ia \pm \sqrt{1-a^2}\right) + 2\pi n}[/tex]

where n is any integer.

We are given with:

[tex]{\quad \qquad \longrightarrow \sin (z)={\sf a}\:,\:z\in \mathbb{C}}[/tex]

Recall the identity what we have for the sine function of complex numbers

[tex]{\boxed{\bf{\sin (z)=\dfrac{e^{\iota z}-e^{-\iota z}}{2\iota}}}}[/tex]

Put the values to thus obtain:

[tex]{:\implies \quad \sf \dfrac{e^{\iota z}-e^{-\iota z}}{2\iota}=a}[/tex]

[tex]{:\implies \quad \sf e^{\iota z}-e^{-\iota z}=2a\iota}[/tex]

Multiply both sides by [tex]{\sf e^{\iota z}}[/tex]

[tex]{:\implies \quad \sf e^{\iota z}\cdot e^{\iota z}-e^{-\iota z}\cdot e^{\iota z}=2a\iota e^{\iota z}}[/tex]

[tex]{:\implies \quad \sf (e^{\iota z})^{2}-2a\iota e^{\iota z}-1=0}[/tex]

Put x = [tex]{\sf e^{\iota z}}[/tex]:

[tex]{:\implies \quad \sf x^{2}-2a\iota x-1=0}[/tex]

Find the discriminant, here D will be, D = (-2ai)² - 4 × 1 × (-1) = 4 - 4a² = 4(1-a²)

Now, By quadratic formula:

[tex]{:\implies \quad \sf x=\dfrac{-(-2a\iota)\pm \sqrt{4(1-a^{2})}}{2}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}}[/tex]

[tex]{:\implies \quad \sf e^{\iota z}=\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}}[/tex]

[tex]{:\implies \quad \sf \iota z=log\bigg(\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}\bigg)}[/tex]

Using the formula for logarithms, we have:

[tex]{:\implies \quad \sf \iota z=log(a\iota \pm \sqrt{1-a^{2}})-log(2)}[/tex]

[tex]{:\implies \quad \sf z=\dfrac{1}{\iota}log(a\iota \pm \sqrt{1-a^{2}})-\dfrac{1}{\iota}log(2)}[/tex]

The sine function is periodic on 2πn and zero on (π/2), and the logarithmic expression becomes undefined for all ia±√(1-a²) < 0, so we will take modulus of it

[tex]{:\implies \quad \boxed{\bf{z=\dfrac{1}{\iota}log\bigg|a\iota \pm \sqrt{1-a^{2}}\bigg|-\dfrac{1}{\iota}log(2)+\dfrac{\pi}{2}+2\pi n\:\:\forall \:n\in \mathbb{Z}}}}[/tex]

Connor is 6 feet tall and casts a shadow that is 2.5 feet long. He stands next to a tree that is 25 feet tall. How long is the shadow the tree casts? Round your numerical answer to the nearest whole number.

Answers

Answer:

10

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10[/tex]

The Tree casts a height of 10.41 feet tall.

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Connor is 6 feet tall and casts a shadow that is 2.5 feet long.

He stands next to a tree that is 25 feet tall.

let the shadow of tree is x feet long.

Using proportion

6/ 2.5 = 25/x

6x = 62.5

x= 10.41 feet

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HELP ASAP PLSSSSSSSSS

(image is below)
A scatter plot with a line is shown below:

Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 15 at increments of 1 on the y axis. Scatter plot shows ordered pairs 0, 1 and 1, 1 and 2, 3 and 3, 6 and 4, 6 and 5, 8 and 6, 9 and 7, 10 and 8, 12 and 9, 13 and 10, 15. A line joins ordered pairs 0, 0.5 and 10, 14.8.

Which statement is most likely correct about the line?

It can be a line of best fit because it is closest to most data points.
It can be a line of best fit because it passes through all the data points.
It cannot be a line of best fit because it does not pass through all the points.
It cannot be a line of best fit because it does not pass through the first and last points.

Answers

Answer:

Option 1

Step-by-step explanation:

The statement which is most likely correct about the line is :

It can be a line of best fit because it is closest to most data points.Option 1

The length of time it takes a worker to assemble a large product is assumed to be normally distributed. a random sample of 25 workers a were selected, and their times to assemble the product were recorded. the mean and variance for this sample were 3 and 0.5 hours, respectively.

the 90 percent confidence interval for the mean length of time (in hours) it takes a worker to assemble the product _____ hours to ______ hours

Answers

Using the t-distribution, it is found that the 90% confidence interval is of  2.71 hours to 3.29 hours.

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The other parameters are given as follows:

[tex]\overline{x} = 3, s = \sqrt{0.5} = 0.707, n = 25[/tex]

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 3 - 2.0639\frac{0.707}{\sqrt{25}} = 2.71[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 3 + 2.0639\frac{0.707}{\sqrt{25}} = 3.29[/tex]

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