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Answer:0.0499

Step-by-step explanation:

Let x be a random variable that represents the salary for a data scientist.

Given: Average salary for a data scientist [tex]\mu=\$83105[/tex]

standard deviation [tex]\sigma=\$10503[/tex]

Sample size : n= 31

The probability that the mean salary of 31 randomly selected data scientists is less than $80,000.

[tex]P(\overline{X}<80000)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{80000-83105}{\dfrac{10503}{\sqrt{31}}})\\\\=P(z<-1.646)\ \ \ [z=(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(z<1.646)\ \ \ [P(Z<-z)=1-P(Z<z)]\\\\=1-0.9501= 0.0499[/tex]

Hence, the required probability = 0.0499.

Answers:

Slope = 5

Interpretation = Andre is saving 5 dollars per week

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Work Shown:

The two points (0,40) and (4,60) are on the line

Use the slope formula

m = (y2-y1)/(x2-x1)

m = (60-40)/(4-0)

m = 20/4

m = 5

The slope is 5.

In this context, it means each time the number of weeks goes up by 1, the amount of his savings goes up by 5. In short, he's saving $5 per week.

note: the y intercept tells us that Andre started off with $40 in his account.

The slope is 5 in  slope-intercept form.

What is in slope-intercept form?

the y intercept tells us that Andre started off with $40 in his account.

Slope = 5

The two points (0,40) and (8,80) are on the line

Use the slope formula

Take any two points

m = (y2-y1)/(x2-x1)

= 80-40/8-0

= 40/8

=5

The slope is 5.

In this context, it means each time the number of weeks goes up by 1, the amount of his savings goes up by 5. In short, he's saving $5 per week.

Learn more about slope-intercept form

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Answer:

a = 14 ; b = 10

Step-by-step explanation:

ΔJKL ≅ ΔXYZ

The order of letters in triangle's "names" is important, it indicates the corresponding angles and sides.

∠J ≅ ∠X, ∠K ≅ ∠Y, ∠L ≅ ∠Z

segment JK ≅ segment XY,

segment KL ≅ segment YZ,

segment JL ≅ segment XZ

m∠Z = m∠L = 180° - (60° + 55°) = 65°

(4a + 9)° = 65°

4a = 65 - 9 ⇒ a = 14

XY = JK = 24 units

3b - 6 = 24 ⇒ b = 10  

15 percent off 9.00 is 7.65

Step-by-step explanation:

The difference is 1.35

Step-by-step explanation:

so first you would ave to find the  unit rate,so 25.65/9=$2.85 then you would multiply 2.85*2 for the other 2 that she broke. You would get $5.70 add that to the 25.65 you  would get $31.35. the two panes of glass=$5.70 and altoger with the two pans of glass you would get $31.35

Answer:

180,000

Step-by-step explanation:

You can multiply 9 * 2 =  18 then add all the 4 0000s

therefore, your answer is 180,000

The product of 900 and 200 expressed in scientific notation is 1.8 x [tex]10^5[/tex].

It is the way of writing a large number between 1 to 10 with a power of 10.

We have,

To express the product of 900 and 200 in scientific notation, we need to multiply the two numbers and then write the result in the form of

a x [tex]10^n[/tex], where a is a number between 1 and 10 and n is an integer.

So,

900 x 200 = 180000

To express 180000 in scientific notation, we can write it as:

1.8 x [tex]10^5[/tex]

Therefore,

The product of 900 and 200 expressed in scientific notation is 1.8 x [tex]10^5[/tex].

Learn more about scientific notation here:

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Answer:

3t-10

Step-by-step explanation:

[tex]( \frac{12t}{8} - 5)2[/tex]

[tex] = (\frac{12t}{8} - \frac{5 \times 8}{8} )2[/tex]

[tex] = ( \frac{12t - 40}{8} )2[/tex]

[tex] = ( \frac{2(12t - 8)}{8} )[/tex]

[tex] = 3t - 10[/tex]

Answer:

it is A and C

Step-by-step explanation:

If you do the math and equations of all of these, you will find that:

10 is 2.5x bigger than 4 (Side lengths DE and BA)

and if we do the equation:

x · 2.5

(the x variable stands for the different side lengths of triangle ABC)

it will equal the side lengths of the bigger triangle.

and when I finished doing that, I multiplied all of the answers to find the area:

12.5 x 7.5 x 10 which altogether is 937.5

none of the other answers for the total of the triangle add up to be that, but side length EF is 7.5, which I used to get my total answer of 937.5.

So the answer is A and C

Answer:

A) Symmetric Property Of Equality

Step-by-step explanation:

[tex]The\ symmetric\ property\ of\ equality\ just\ says\ that\ , if\ the\ LHS=RHS; then; RHS=LHS[/tex]

[tex]Here,\\-5=x\\x=-5[/tex]

Answer:

i got D

Step-by-step explanation:

sin 67 = sin 52

21 BC

BC=17.98

BC=18

Answer:

65 and 115

Step-by-step explanation:

The two angles are same side interior angles which means they add to 180

3x-5 + 2x-15 = 180

Combine like terms

5x -20 = 180

Add 20 to each side

5x-20+20 = 180+20

5x= 200

Divide by 5

5x/5 = 200/5

x=40

The top angle is

3x-5 = 3*40 -5 = 120-5 = 115

The bottom angle is

2x-15 = 2*40 -15 = 80 -15 = 65

Answer:

9/5=x

Step-by-step explanation:

-3x+ 18=7x

-3x+3x+ 18=7x +3x

18=10x

18/10=10x/10

9/5=x

Answer:

Step-by-step explanation:

- 3x + 18 = 7x

- 3x + 3x + 18 = 7x + 3x ⇔ 18 = 10x

[tex]\frac{18}{10}[/tex] = [tex]\frac{10x}{10}[/tex] ⇔ 1.8 = x

x = 1.8

Answer:

1. You account for every dollar you make to where your budget shows you have $0

2. She will have $125 leftover to budget out as she sees fit

3. If she does not account for it she may over spend or think she has extra money

4. I would put it in savings

5. No this is not what it means. This means that your paycheck will be able to cover your expenses.

6. You should put extra money in savings. You never know what will occur and savings can always help.

Step-by-step explanation:

Blanca has a savings of $125, she needs to allocate this amount to fulfill the zero-based budget conditions, as a saving she can allocate the remaining amount.

It is defined as the budgeting method that allows you to fix an amount for everything such as utility expenses, savings, and miscellaneous expenses In other words income minus all expenses plus savings should be equal to zero.

1) The core characteristic of the zero-based budget as follows:

2) Blanca has take-home pay every month = $800

Total expenses = $675

Savings = Income - Total expenses

= $800 - $675 ⇒ $125

We can assume Blanca has savings of $125 at the end of the month.

3) The extra amount = $800 - $675 ⇒ $125

According to a zero-based budget income minus all expenses plus savings should be equal to zero.

Therefore Blanca needs to allocate this amount($125) to some budget category.

4) Blanca has a total of $675 expenses she will have $125 as saving at the end of the month.

She should allocate this amount to savings because it will increase her wealth.

5) Zero-based budget does not mean that at the end of every month Blanca has zero dollars in her bank account because as per the definition zero-based budgeting means income minus expenses should be equal to zero. Blanca has savings and other emergencies funds in her bank account.

Thus, Blanca has a savings of $125, she needs to allocate this amount to fulfill the zero-based budget conditions, as a saving she can allocate the remaining amount.

Learn more about the zero-based budget here:

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Answer:

c

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

donald trump can su*k my d*ck

Step-by-step explanation:

1 1/2

Because I divided them and I got 1.5 then turned 1.5 into a simplified fraction.

Answer:

0.2397

Step-by-step explanation:

Given data:

fX(x) = Cxe^(−x/2) if x >0 0 otherwise, where C > 0 is some constant.

The probability that the system functions for at least 5 months

= 0.2397

attached below is a detailed solution

Answer:

the answer would be 19.

Step-by-step explanation:

-8+8=0

0+19=19

Answer:

19

Step-by-step explanation:

Answer:32

Step for step explanation:

Answer:

|-3|=3

|0|=0

|3|=3

|-5|=5

Step-by-step explanation:

This graph shows linear

y = f(x) and y = g(x).

Find the solution to the equation f(x) - g(x) = 0

Answer:

10x +12

Step-by-step explanation:

2(3x+7) = 6x+14

2(2x-1) = 4x-2

6x+14 +4x-2 = 10x+12

Answer:

P = 10x + 12

Step-by-step explanation:

The length of the rectangle is

L = 3x + 7

The width of the rectangle is

W = 2x - 1

The formula for perimeter of a rectangle is

P = 2L + 2W

Plug in the values for length and width and simplify.

P = 2(3x + 7) + 2(2x - 1)

P = 6x + 14 + 4x - 2

P = 10x + 14 - 2

P = 10x + 12

Answer:

6 × (7 + 9) = (6×7)+(6×9)

Answer:

Yes they are the same i know this because for every 10 girls or boys there are 4 who try out for the team. so for every 10 Boys or Girls there are 4 that will try out for the team. For those wondering the ratio is 4:10

Step-by-step explanation:

Answer:

Yes, when simpilfied or written as a fraction they are equal

Step-by-step explanation:

12:30 = [tex]\frac{12}{30\\ \left \\\}[/tex] = [tex]\frac{4}{10\\}[/tex]

16:40 = [tex]\frac{16}{40}[/tex] = [tex]\frac{4}{10}[/tex]

Step-by-step explanation:

< A = < D

3x_10 = 2X+10

X=20

Answer:

Transformations of g(x) = -(x+5)-4: