In a class of 40 students 20% are girls. How many boys are there in the class?

Answer: The slope of this linear relationship is -5 and it represents a decrease in bait by 5 per hour

Step-by-step explanation:

Answer:

where is the graph

Step-by-step explanation:

The graph of the given linear equation is the one that you can see below.

To graph lines, we need to get two points on the line. To get the points, we can evaluate the line in two different values of x. Here I will use x = 1 and x = 0.

For x = 0 we have:

y = 15 - 4*0 = 15

So we have the point (0, 15).

For x = 1 we have the point:

y = 15 - 4*1 = 11

So we have the point (1, 11).

Now we need to graph these two points and connect them with a line, you will get the graph that you can see below.

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Answer:

the answer is 28

Step-by-step explanation:

PEMDAS:

(8-2) = 6

6^2= 36

36/2= 18

18+10= 28

Answer:

D. 28

PEMDAS:

Parenthesis, exponents, multiplication, division, addition, subtraction

10 + (8 - 2)^2 / 2

1. Parenthesis comes first so we're left with

10 + (6)^2 / 2

2. Then we do the exponents

10 + 36 / 2

3. Then it's division

10 + 18

4. Finally we add

28

Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:sales tax rate would be 0.1

using the formula

Sales tax rate = Sales tax percent / 100

Answer:

2 squared - 7 + -4

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

There are 12 1/4s in 3

Add the extra 1/4 + 13 1/4s

Answer:

D. 8x²y² - 15x²y + xy² + 5y

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define Expression

(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)

Step 2: Simplify

Answer: 10

Step-by-step explanation:

I searched it up

A box plot has 5 data descriptions. The length that is equal to the lower quartile is 10 inches.

A box plot has 5 data descriptions:

Hence, The length that is equal to the lower quartile is 10 inches.

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The point estimate for the population mean of 12 SAT scores is approximately 579.1667 .

a) As shown in the following formula, the confidence interval for the difference between two population means is

Confidence interval = z(s2/n1 + s22/n2)(x1 - x2)

x1 = sampled in-state applicants' mean score

x2 = sample out-of-state applicants' mean score

s1 = sample standard deviation for candidates from within the state

s2 = sample standard deviation for candidates from outside the state

point estimate for mean = ∑Xi ÷ X = 6950 / 12 = 579.1667

b) n1 is the number of applicants who are residents of the state.

Number of applicants from outside the state, n2,

Because there are few samples, we would calculate the z score for a 90% confidence range from the t distribution table:

The confidence interval is :

Lower Limit = 579.1667 - Z(0.1/2)  104/√(12)

Lower Limit  =  529.7802

Upper Limit = 579.1667 + Z(0.1/2)  104/√(12)

Upper Limit  =  628.5532

90% Confidence interval is  ( 529.7802  ,  628.5532 )

The following formula provides the mean's confidence interval:

We can use the following formulas to determine the mean and sample deviation:

c) No, Sine the value 667 does not lies in the interval.

d)Sample size can be calculated by below formula

n = (( Z(α/2) * σ) / e )2

n = (( Z(0.05/2) * 104 ) / 10 )^2

Critical value  Z(α/2) = Z(0.05/2) = 1.96

n = (( 1.96 * 104 ) / 10 )2

n = 416

Required sample size at 95% confident is 416.

Since the confidence level is 0.90, or 90%, the values of and can be used to calculate the critical value a table.

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The coordinates of the y-intercept are (0, 3.5) and the coordinates of the x-intercepts are (-17.5, 0). Using these coordinates, the graph of the equation is shown below.

From the question, we are to graph the given linear equation.

To graph the equation,

We will determine the coordinates of the x-intercepts and y-intercepts.

When x = 0

y = 1/5x + 3.5

y = 1/5(0) + 3.5

y = 3.5

(0, 3.5)

When y = 0

y = 1/5x + 3.5

0 = 1/5x + 3.5

Multiply through by 5

0 = x + 17.5

x = -17.5

(-17.5, 0)

Using the coordinates of the x-axis and y-axis, the graph of the equation is shown below.

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Step-by-step explanation:

If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote. If the polynomial in the numerator is a higher degree than the denominator, there is no horizontal asymptote.

Answer:

x=-7

Explanation:

Given the two end-points of the line: (-7,7) and (-7,4).

Observe that the x-coordinate of both points are the same, i.e. -7

Therefore, the line is a vertical line that passes through the point x=-7.

The equation of the line is therefore:

Answer:

  278°

Step-by-step explanation:

You want the measure of arc RSQ given inscribed angle RSQ has a measure of 41°.

An inscribed angle has half the measure of the arc it subtends. This means short arc RQ will have double the measure of angle RSQ:

  arc RQ = 2 × 41° = 82°

The measure of long arc RSQ will complete the 360° circle:

  arc RSQ = 360° -arc RQ

  arc RSQ = 360° -82°

  arc RSQ = 278°

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Answer:

Step-by-step explanation:

we have to find which square root has a value between 13.8 and 14.5.

At first we need to check one by one

.°. we get that the number 200 square root has a value between 13.8 and 14.5

Answer:

2

Step-by-step explanation:

The slope of the line with equation y=2x+3 is 2 . So, any line parallel to y=2x+3 has the same slope 2 .

Hello!

Parallel lines have the same slope. So if one line has a slope of 2, the line parallel to it has a slope of 2 as well.

Therefore, the slope is 2. Hope it helps.

If you have any questions, feel free to ask.

~A forlorn teen

\(MagicalNature\)

Answer:

The volume is about 1,128.88 cubic cm.

Step-by-step explanation:

\( \frac{1}{3} \pi( {7}^{2} )(22) = 1128.88\)

The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

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Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

a) The error bound of the confidence interval is of 0.66.

b) The confidence interval will be narrower.

Step-by-step explanation:

Question a:

We have to find the margin of error. Considering that we have the standard deviation for the sample, the t-distribution is used.

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 71 - 1 = 70

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 70 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 1.9944

The margin of error is:

\(M = T\frac{s}{\sqrt{n}}\)

In which s is the standard deviation of the sample and n is the size of the sample.

For this problem, \(s = 2.8, n = 71\). So

\(M = T\frac{s}{\sqrt{n}} = 1.9944\frac{2.8}{\sqrt{71}} = 0.66\)

The error bound of the confidence interval is of 0.66.

b. What will happen to the level of confidence obtained if 1,000 male Swedes are surveyed instead of 48? Why?

The margin of error is inversely proportional to the square root of the sample size, so increasing the sample size leads to a smaller margin  of error and a narrower confidence interval.

Answer:

The word "geometry" comes from a Greek word that literally means measurement of the earth and was originally applied to the art of land surveying. ...

Step-by-step explanation:

I really hope this helps have a wonderful day

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

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Answer:

let

custard pie be x

Step-by-step explanation:

1/7 x = 185

x=185× 7

x=1395

1/8 of x= 1395/8

1/8 of x=174.3

1/4 of x = 1395/4

=348.75

1/6 of x =1395/6

=232.5