Abi takes a job with a starting salary of $100,000 for the first year. She earns a 3% increase each year. To the nearest dollar, how much does Abi make over the first six years?

Answer:

The answer is below

Step-by-step explanation:

For a normal distributed population with a mean (μ), and a standard deviation (σ), if a sample size of n is selected from the population, the mean of the sample ([tex]\mu_x[/tex]) =  μ and the standard deviation of the sample ([tex]\sigma_x[/tex]) = [tex]\frac{\sigma }{\sqrt{n} }[/tex]

Let the normal distribution population have a standard deviation of σ. If the standard deviation is to be decreased by half, the sample size (n) needed is:

[tex]Using:\\\\\sigma_x=\frac{\sigma}{\sqrt{n} } \\\\but\ \sigma_x=\frac{\sigma}{2}\\\\Hence:\\\\ \frac{\sigma}{2}=\frac{\sigma}{\sqrt{n} }\\\\Divide\ through\ by \ \sigma\ to\ get:\\\\ \frac{1}{2}=\frac{1}{\sqrt{n} }\\\\\sqrt{n}=2\\\\square\ both\ sides:\\\\(\sqrt{n} )^2=2^2\\\\n=4\\\\[/tex]

To decrease the standard deviation of the sampling distribution by half we need a sample size of 4

Answer:

56

Step-by-step explanation:

If we split this figure to 2 parts, we figure the area based upon this composite figure.

1 figure is 10x4(rectangle)

the other figure is a 4x4 square (Note we subtract 8 by 4 because we don't want overlapping area)

After that we find the area of those to figures then we add them up

(4x4)+(10x4)

16+40

56

Step-by-step explanation:

5/6b=17/8

Cross multiple

40=102b

divide through by 102

b=20/51

Answer:

0.82% probability that the average time it takes to complete both homework assignments is greater than 82 minutes

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Math homework:

[tex]\mu_M = 30, \sigma_M = 3[/tex]

Arts homework:

[tex]\mu_A = 40, \sigma_A = 4[/tex]

What is the probability that the average time it takes to complete both homework assignments is greater than 82 minutes?

Here, we have a sum of normal variables. The mean will be the sum of the means, while the standard deviation is the square root of the sum of the variances. So

[tex]\mu = \mu_M + \mu_A = 30 + 40 = 70[/tex]

[tex]\sigma = \sqrt{\sigma_M^2 + \sigma_A^2} = \sqrt{3^2+4^2} = 5[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 82. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{82 - 70}{5}[/tex]

[tex]Z = 2.4[/tex]

[tex]Z = 2.4[/tex] has a pvalue of 0.9918

1 - 0.9918 = 0.0082

0.82% probability that the average time it takes to complete both homework assignments is greater than 82 minutes

Answer:

$4.95

Step-by-step explanation:

Answer:

$1.65

Step-by-step explanation:

if you divide $0.99 bye 3 you get 33 that means 1 banana cost $0.33 and you have to multiply $0.33 by 5 your answer will be $1.65

Answer:

they all are the same but the 2nd one has more of a lumnicution so thats the answer

Step-by-step explanation:

Answer:

2 2/9

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

m∠5=34°

Step-by-step explanation:

angle 1 is a corresponding angle to angle 5 therefore they are congruent

Answer:

0.254

Step-by-step explanation:

Given that:

Percentage of those having health insurance = 71%

p = 71 / 100 = 0.71

Number of adults selected at random, n = 4

Probability that 4 selected have health insurance :

p^n = 0.71^4 = 0.25411681

= 0.254

Answer:

D.63 leaves

Step-by-step explanation:

Divide the given number of leaves by the time it took that many to fall

190/3=63.33 which rounds down to 63

Question #2

21 Miles per gallon

Divide the number of gallons by the amount of gas to get miles per gallon.

252/12=21 miles per gallon

the two numbers is 6 & 4

6 + 4 = 10

and 6-4 is 2

Answer:

"bisect" means: angle FGH = angle HGI

(3x-3)=(4x-14)

-3+14=4x-3x

x=11

Angle FGH = (3x-3) = 30

Angle HGI = Angle FGH = 30

Angle FGI = 60

Step-by-step explanation:

i think this is right im not sure

Answer:

Perimeter = 26 cm. Area =

Step-by-step explanation:

The rectangle has a width of 4 cm and the square has a length of 9. cm, so  to make them have the same area you make the length of the rectangle 9 cm and the square have a width of 4 cm.

then each shape will have two sides that are 9 cm and two sides that are                 4 cm.

Perimeter

9 + 9 = 18

4 + 4 = 8

18 + 8 = 26

the perimeter is 26 cm.

Area

9 x 4 = 36

the area is 36 cm.

Answer:

Width is 4cm and length is 20.25, so perimeter is 48.5

Step-by-step explanation:

Square has same length for each side

Area for the Square 9 x 9 = 81

So find another number that adds up to the area of the square

Area for Rectangle 4 x 20.25 = 81

Width for Rectangle is 4cm and length is 20.25, so perimeter is 48.5

Should be pretty easy if you have a calculator, It'll just take a couple more minutes :D

Answer: I think it’s 1/10

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

3-2=1

10-5=5

hope this helps

The required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.

Surface area is defined as the measure of a region or surface is called as surface area.

The best estimate of the area of the stovetop that does not include the area of the burners can be obtained by subtracting the total area of the four burners from the total area of the stovetop.

The total area of the stove top is given by the product of its length and width:

Length = 24 inches

Width = 22 inches

Area = Length × Width = 24 × 22 = 528 square inches

The area of each burner is given by the formula for the area of a circle:

= π × (diameter/2)²,
where π is approximately equal to 3.14

Since the diameter of each burner is 6 inches, the radius of each burner is 6/2 = 3 inches.

Area of one burner = Pi × (3)² = 3.14 × 9 = 28.26 square inches

The total area of the four burners is 4 × 28.26 = 113 square

The area of the stove top = 528 - 113
                                       = 415 square inches.

Thus, the required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.

Learn more about the surface area here:

https://brainly.com/question/2835293

#SPJ6

Answer:

4894

Step-by-step explanation:

I know that it is divisible by 2, because it is an even number, and also the one's digit has 4, which is divisible by 2.

hope this helps :3

Answer:

2344

Step-by-step explanation:

I know that it is divisible by 2 because the digit in the ones place

2344

is an even number so that makes it divisible by 2.

I HOPE IT HELPS!

Answer:

w<50

c≤30

6w+2c≥320

Step-by-step explanation:

W stands for the car wash, and C stands for the cakes. Naturally, it would be 7w+4c≥320 but each cake costs $2 to make and each car wash costs $1 per car. This makes the system 6w+2c≥320. They will wash less than(<) 50 cars and bake no more than(≤) 30 cakes. I hope this helped :).

To solve the problem we must know about Expressions.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given to us

Earning per car wash = $7

Earning per cake  = $4

Cost of supplies per car wash = $1

Cost of cake = $2

They will wash less than 50 cars and

Bake no more than 30 cakes

They want to raise at least $320

Assumption

Let the number of cakes they sold be represented by x, and the number of car washes they did be represented by y.

Profit from Car wash

= Earning per car wash - Cost of supplies per car wash

= $7 - $1

= $6

Profit from Cake

= Earning per Cake - Cost of a cake

= $4 - $2

= $2

The system that represents profit

$320 = ($6)y + ($2)x

320 = 6y + 2x

As it is given that they will not make more than 30 cakes, therefore,

x ≤ 30

As it is given that they will wash less than 50 cars.

y < 50

Hence, the following equations can represent the system,

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

Commenalism

Step-by-step explanation:

I dont know why but people are deleting my answers for no reason

Answer:

2, (x+13)/6, -7

Step-by-step explanation:

The -1 bit means do it backwards, so look the for the output of the function with the value given.

In g, when we put in 2 we get 9 out, so g^-1(9) is 2.

For the second one we need to rearrange it to get x = something.

h(x) + 13 = 6x

x = (h(x) + 13)/6

Then replace the h(x) with x and the x with h^-1(x) to get

h^-1(x) = (x + 13)/6

The last one is a trick. Note that h and h^-1 are opposites. If we do something then do the opposite of it, we haven't done anything at all! So the number stays the same.

Answer:

I think x = 7

but I'm not sure

.. :-))

Answer:

Step-by-step explanation:

132 is what percent of 880? = 15.

Answer:

The angle of elevation from the base to the top of the mountain is 30°.

Step-by-step explanation:

Given: Vertical height of mountain is 650 feet and the distance from the top of the mountain to the base is 1300 feet.

To find: The angle of elevation from the base to the top of the mountain.

Let AB be the height of mountain and BC be the base.

Then, according to question, AB=650 feet and AC=1300 feet.

Let ∠ACB=[tex]\Theta[/tex].

Then, in ΔABC,

[tex]sin\Theta=\frac{AB}{AC}[/tex]

⇒[tex]sin\Theta=\frac{650}{1300}[/tex]

⇒[tex]sin\Theta=\frac{1}{2}[/tex]

⇒[tex]\Theta=30[/tex]°

Hence, the angle of elevation from the base to the top of the mountain is 30°.

Answer:

936

Step-by-step explanation:

18*24=432

24*7=168

30*7=210

18*7=126

432+168+210+126

=936

Answer:

4:36

24 x 4:36

96:36

8:4

1day = 24 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the data table :

x : __ $2_ $14_ _$20 __ $100

P(x) : 0.40_ 0.20 _0.20 _0.20

The mean :

E(x) = Σ(x*p(x))

E(x) = (2*0.4) + (14*0.2) + (20*0.2) + (100*0.2)

E(x) = 27.6

The standard deviation :

SD(x) = sqrt(Σ(x² * p(x)) - E(x)²)

Σ(x² * p(x)) - E(x)² :

((2^2*0.4) + (14^2*0.2) + (20^2*0.2) + (100^2*0.2)) - 27.6^2

2120.8 - 761.76

= 1359.04

Sqrt(1359.04)

SD(x) = 36.865159

SD(x) = 36.87

Answer: $65; $35+r•2

Step-by-step explanation:

So if every ride Brayden goes on costs $2 and he rides 15 rides, 2•15= $30 from rides alone. Then you add the $35 from admission to that number to get $65. This works for any amount of rides, just change the number to how many rides he goes on and use the same formula, 35+r•2 where r equals the number of rides ridden.

the answer is 162

(to add more letters)