At the beginning of the school year, the 7th grade class at Oak Hill Middle School has 480 students. There are 270 girls and 210 boys.
part 1:
What is the probability that a randomly selected 7th grade student is a girl?
part 2:
Nineteen of the girls and 22 of the boys moved away, while 13 new girls and 20 new boys enrolled in the 7th grade at Oak Hill. After these changes in the class' composition, what is the probability that a randomly selected 7th grade student is a boy?

The surface area of the larger prism is 24b + (5/2)(bc + bd + cd) + 5/2.

Surface area is the sum of the areas of all the faces (or surfaces) of a three-dimensional object. It is a measure of how much area the surfaces of an object take up in two dimensions. The surface area of a solid can be found by adding up the areas of its faces.

Let's call the other dimensions of the blocks "a", "b", "c", and "d", with "a" and "c" being the lengths, and "b" and "d" being the widths. Then, we have:

Block 1: a x b x c = 15

Block 2: a x b x d = 15

When we join the blocks together, we get a larger rectangular prism with dimensions 12 x b x (c + d). The surface area of this prism can be found by adding up the areas of its six faces:

Surface area = 2(12b) + 2(bc + bd + cd)

Surface area = 24b + 2(15 + bc + bd + cd)/12

Surface area = 24b + (5/2)(bc + bd + cd) + 5/2

Therefore, the surface area of the larger rectangular prism is given by:

Surface area = 24b + (5/2)(bc + bd + cd) + 5/2

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Note:  This question is incomplete so i have given generalized answer

A) Coefficient is the correct answer.

Step-by-step explanation:

The 3 is a coefficient. The x is the variable.

Answer:c

Step-by-step explanation:

The value of the test statistic of the given hypothesis testing is; -0.6885

A test statistic is defined as a random variable that is calculated from sample data and used in a hypothesis test.

The formula for the test statistic here is;

z = (x' - μ)/(σ/√n)

where;

x' is sample mean

μ is population mean

σ is standard deviation

n is sample size

We are given;

Population mean; μ = 25

Sample mean; x' = 23.4

sample size; n = 15

standard deviation; s = 9

Thus;

z = (23.4 - 25)/(9/√15)

z = -0.6885

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Answer:

$68

Step-by-step explanation:

Original cost of pair of pants at the mall:

100% = 80

1% = 80 ÷ 100 = 0.80

15% = 0.80 x 15 = 12 (Sale price)

80 - 12 = 68 (Price after the sale)

Answer:

= 5/2 or 2.5

Step-by-step explanation:

So you can do the keep, switch, flip method. Keep 5/8, switch division to multiplication, flip 1/4 to become 4.

5/8 x 4/1

then multiply across

20/8

which can be simplified to 5/2

Step-by-step explanation:

\( \frac{5}{8} \div \frac{1}{4} = \frac{5}{8} \times 4\)

\( \frac{5}{8} \times 4 = \frac{5}{2} \)

\( \frac{5}{2} = 2 \frac{1}{2} \)

==============================================

Work Shown:

\(x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\\)

The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9

Answer:

pop music of 90

Answer:

30

Step-by-step explanation:

it's x2 for the rest and 15x2 =30

The value of x, given that when it divides a number, there is a quotient and a remainder, is 400

To find the value of divisor, we can use a variant of the division algorithm formula :

Divisor = ( Dividend - Remainder ) / Quotient

x is the divisor

Dividend = 19, 432

Remainder = 232

Quotient = 48

This means that the value of x is:

x = ( 19, 432 - 232 ) / 48

x = 19, 200 / 48

x = 400

In conclusion, x is 400.

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Answer:

6 gallons

Step-by-step explanation:

You can find this using the ration method.

If, 8 gallons : 192 miles

   x gallons : 144 miles

We must find the value of x, which is the number of gallons used to travel 144 miles.

Cross multiply the ratios.

192 x = 8 × 144

192 x = 1152

x = 1152 ÷ 192

x = 6

∴ It takes 6 gallons to travel 144 miles.

The maximum number of guests she can invite is 9.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that If Sasha invites three guests, the cost of her retirement party will be $15.

If she can afford to spend $45 the maximum number of the guest will be calculated as:-

3 guests = $15

1 guest = $5

Calculate the maximum guest,

Number of guests = $45 / $5

Number of guests = 9

Therefore, the most visitors she may invite is 9.

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Answer:

A

Step-by-step explanation:

vertex is (-3,-4)

so inside the absolute value bars need to be postive 3 and the four has to be -4.

Answer:$ 24,679.20 or 514.15 a month

Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20

The required residual for Dianna's iguana is $0.05.

To find the residual for Dianna's iguana, we need to first calculate the predicted value of weekly food cost for the iguana using the given regression equation:

\($\hat{y} = 0.4 + 0.15x$\)

where x is the weight of the iguana in pounds.

Substituting x = 11 into the equation, we get:

\($\hat{y} = 0.4 + 0.15(11) = 2.05$\)

So the predicted weekly feed cost for Dianna's iguana is $2.05.

To find the residual, we subtract the predicted value from the actual value:

\($residual = actual\ value - predicted\ value = 2.10 - 2.05 = 0.05$\)

Therefore, the residual for Dianna's iguana is $0.05.

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Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

Answer:

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)

To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.

In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.

In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).

So, we can rewrite the denominator as

\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)

Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:

\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)

Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)

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Answer:

Step-by-step explanation:

m = n + 1 + x/p

First, we can start by subtracting (n+1) from both sides:

m - (n+1) = x/p

Then, we can multiply both sides by p to isolate x:

p(m - (n+1)) = x

So the final answer is:

x = p(m - (n+1))

Answer: 4.8

Step-by-step explanation:

Answer:

The line of best fit can be used to make predictions of GPA based on SAT scores.

Step-by-step explanation:

Due to the somewhat accurate correlation between the line of best fit and the scatter plots, it is safe to say that the line of best fit is able to provide an accurate translation as to if the SAT is correlated with the student's GPA.

The equation that can be used to answer this question concerning speed would be = d=(0.6)(30). That is option C.

Constant speed is defined as the quantity that expresses the an object which travels the same distance in the same period of time.

The constant speed of the zebra = 0.6 miles per minute

Therefore, if 0.6 miles = 1 minute

d miles = 30 minutes

d miles = 30 × 0.6/1

d miles = 18 miles

Therefore the expression that can be used to answer this question would be = d=(0.6)(30).

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Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:

12x = 500

x = 500/12

x = 41.67

x≅ 42

Julia needs to buy 42 packets

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The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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Answer:

It's B. n3 - 4n - 4

Step-by-step explanation:

Hope this helps.. ;)

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

Answer:

Estimation and Confidence Intervals

Step-by-step explanation:

Just found it on a math website basically.