Can someone help with this math problem please

Solution :

Let :

X = number of overtime hours

S = total weekly salary

S = [tex]$12 \times 40 + 18 \times X$[/tex]

S = 480 + 18X

E(S) = [tex]$480 + 18 \times E(X)$[/tex]

[tex]$E(S) = 480 + 18 \times 15$[/tex]

        = 750

Mean of S = 750

Var (S) = [tex]$18^2 \times Var(X)$[/tex]

Var(S) = [tex]$18^2 \times 4^2$[/tex]

          = 5184

Variance of S = 5184

The standard deviation equals square root of 5184 = 72

Answer:

C and B

Step-by-step explanation:

A. 12x = 3, x =1/4

C. 10 + x = 14, x = 4

B. 6x = 24, x =4

D. x -4 = 8, x =12

Only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
A
12x = 3

Simplifying the above expression,
12x = 3
x = 3 / 12
x = 1 / 4

Similarly simplifying all the expressions gives,
B. x = 4
C. x = 4
D. x = 12

Thus, only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.

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Answer:When you leave the interest in your

account or reinvest the money you earn on your

investments, the money you earn starts to earn

money too. Over time, the magic of

compounding works, allowing your money to

grow with dramatic results. The more time you

have to save, the less money you need to save

because of compounding. And the longer you

wait to start saving, the more you have to spend

to reach your goal. For example, let’s assume

that Maria’s savings grow by 5% a year. If she

starts to save $243 a month now, it will cost her

$58,320 to have $100,000 in twenty years. If

she waits 10 years to start saving, she will have to

save $644 a month for 10 years, and it will cost

her $77,280 to reach $100,000 in twenty years.

Step-by-step explanation:Hope this helps!!!!

Answer:

$10,000 invested into stocks

Step-by-step explanation:

Answer:

The function is, f(x) = 6·sin((π/5)(x + 3π/2)) + 12

Step-by-step explanation:

The general form of equation of a roller coaster is given as follows;

y = A·sin(B(x - C)) + D

Where;

A = The amplitude = (18 - 6)/2 = 6

D = The vertical shift = 12

One revolution = 10 unit

∴2·π = 10 unit

Therefore, 10 = 2·π/B

B = 2·π/10

The phase shift = 3·π/2

Therefore, we have the function as follows;

f(x) = 6·sin(2·π/10(x + 3π/2)) + 12 = 6·sin((π/5)(x + 3π/2)) + 12

Answer:

A = 1.5386

Step-by-step explanation:

Quarter circle area formula:

A = (πr²)/4

A= (π1.4²)/4

A = (3.14*1.96)/4

A = (6.1544)/4

A = 1.5386

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is

Answer:

$28571.43 was loaned out.

Step-by-step explanation:

2000 x 100 / 7=28571.43

Answer:

$28571.43 was loaned.

this is because

2000 x 100 / 7

=28571.43

Answer:

0.9166666666666667

Step-by-step explanation:

11 divided by 12 =0.9166666666666667

Answer:

86

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let d be the common difference.

a₁₀ = a₁ + (10-1)d

13 = -5 + 9d

d = 2

Answer:

x = 23

Step-by-step explanation:

15 + 8 is 23 so x = 23

Answer: 29 lbs

Step-by-step explanation: If you do 48 times 3 you will get 144 and if you do 144 divided by 16 you will get 9 and if you do 9 plus 20 you will get 29 lbs in total.

The required pounds of cat food Mr. Kramer get in all is 9.

given that,

First, he gets a 20-pound bag of dry cat food.
Then, he finds a good deal on 3-ounce cans of wet cat food,
so he buys 48 of them.
It is to determine how many pounds of cat food Mr. Kramer get in all.

In mathematics, it deals with numbers of operations according to the statements.

In a can, there are 3 ounces of wet cat food.
1 can = 3 ounce
multiplying both sides by 48
48 can = 3 * 48 ounce
48 can = 144 ounce
1 pound = 16 ounce
1/16 pound = 1 ounce
multiplying both sides by 144 on both sides
144 / 16 pound = 144 ounce
9 pound = 144 ounce

Thus, the required pounds of cat food Mr. Kramer gets in all is 9.

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Answer:

1/13

Step-by-step explanation:

there are 10 people that use the gym and track and 10 is 1/13 of 130

Answer:

12, 45, 1.8, -9, 18

Step-by-step explanation:

up up down down left right left right  b a start

Answer: 2744

:)

Hope it’s right

The volume of a cube with a side length of 14 inches is 2744 cubic inches.

Side of the cube = 14 inches

The volume of a cube with side length a is a³.

So, the volume of a cube with a side length of 14=14³

The volume of a cube with a side length of 14=2744 cubic inches.

Hence, the volume of a cube with a side length of 14 inches is 2744 cubic inches.

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Answer:

3 3/8

I converted the fractions in to decimals, multiplied them and then converted the decimal into a fraction.

Answer:

t = -1.54.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

H0:μ=54.5

This means that [tex]\mu = 54.5[/tex]

Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.

This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]

Test statistic

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]

[tex]t = -1.54[/tex]

The test statistic is t = -1.54.

Step-by-step explanation:

0,4 ft

It can be convinient to let a spreedsheet compute the values for you

Here we have written an expiliclit formula for the height of the 9th bounce

H= 5.5 x 0.64'(n-1)

We have written the formuka this way beacause we are given the height of the firrrst bounce not the satrting height so as you see each bounce multiples the height by a factor of 0,64 then the 7th bounce will be

H= 5.5 x 0.64'6 = 0.378 = 0,4 feet

Answer: 1

Step-by-step explanation:

Answer:

A=32.5

Step-by-step explanation:

A=(4+9)*5/2

A=13*5/2

A=65/2

A=32.5

Answer:

170

Step-by-step explanation:

Answer:

11/2 is 5 1/2 this is which is 5 remainer 1 if you are a lower grade. If not then the complete form is 5.5

Step-by-step explanation:

Answer: the answer is the 3rd bubble:)

Step-by-step explanation:

Answer:

A is the answer

Step-by-step explanation:

hope that helped

Answer:1/6*1/6*1/6=1/216

Step-by-step explanation:

Answer:

The total number of pencils that Mr. Moretti gives to his is 162.

Step-by-step explanation:

He puts 3 mechanincal pencils in each bag.

In each bag, there is also twice as many regular pencils, that is, 3*2 = 6 regular pencils.

So in each bag, 3 + 6 = 9 pencils.

What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?

18 students, and each gets 9 pencils.

18*9 = 162

The total number of pencils that Mr. Moretti gives to his is 162.

Answer:

162 pencils

Step-by-step explanation:

i did the i ready lesson!

x + (-13) = -5

x - 13 = -5

x = -5 + 13

x = 8

Answer:

B

3(x^2−3)(x^2+4)

Step-by-step explanation:

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