Five friends go to a fall festival and they each pay an entry fee of $10. The friends then each spend the same amount of money on lunch at the festival and don’t spend any other money. Altogether, the friends have spent $120.

The mean of the test that has a normal distribution is 55.

Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:

49 = μ - 3σ  equation (1)

59 = μ + 2σ  equation (2)

To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:

49 + 59 = μ - 3σ + μ + 2σ

Simplifying, we get:

108 = 2μ - σ

We can also solve for σ by subtracting equation (1) from equation (2) to get:

59 - 49 = μ + 2σ - (μ - 3σ)

Simplifying, we get:

10 = 5σ

Therefore, σ = 2.

Substituting this value of σ into the equation we found earlier, we get:

108 = 2μ - σ

108 = 2μ - 2

Solving for μ, we get:

2μ = 108 + 2

2μ = 110

μ = 110/2

μ = 55

Therefore, the mean of the test is 55.

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Answer:

circumference of the circle=2πr

=2×3.14×17

=106.76cm

Answer:

Step-by-step explanation:

a1 = -2x + 7

d = 4x + 1 - (-2x + 7)

d = 4x + 1 + 2x - 7

d = 6x - 6

n = 8

a8 = -2x + 7 + (n-1)*d

a8 = -2x + 7 + (8 -1 ) * (6x - 6)

a8 = -2x + 7 + 7 * (6x - 6)

a8 = -2x + 7 + 42x - 42

a8 = 40x - 35

Answer: Should be 14

Step-by-step explanation:

Answer:

1/2 divided by 4 = 1/8 or 0.125

Step-by-step explanation:

1/2 divided by 4

(1/2) ÷ 4

= 1/2 × 1/4

= 1/8 or 0.125

Answer: Rectangle

Rhombus

Parallelogram

Step-by-step explanation:

A rectangle has four sides and the opposite sides are equal.

A rhombus is simply a flat shape that has 4 equal straight sides and the sides have equal length.

A square has all the four sides equal.

A parallelogram is a quadrilateral that has two pairs of parallel sides. It should be noted that the opposite sides of the parallelogram have equal length.

A trapezoid doesn't have two sides with equal lengths. Therefore, the correct answer to the question will be:

• Rectangle

• Rhombus

• Parallelogram

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

Explanation:

Multiply the numbers up top to get 1 times -3 = -3

Do the same for the numbers underneath: 2 times 4 = 8

The final answer is the fraction -3/8

The fraction cannot be reduced further. Why not? Because 3 and 8 don't have any factors in common other than 1.

If you need to convert to decimal form, use long division or a calculator to find that -3/8 = -0.375

Solution :

[tex] \rightarrow \frac{1}{2} \times \frac{ - 3}{4} [/tex]

[tex] \rightarrow \: \frac{1 \times - 3}{2 \times 4} [/tex]

[tex] \rightarrow\frac{ - 3}{8} [/tex]

hope it helps you !!

( ╹▽╹ )

Answer:

see my explantion!!

Step-by-step explanation:

8000*0.05=400

400*18=7200$

Answer:

24

Step-by-step explanation:

if he can make 4 birdhouses in 1 1/2 hours, 1 1/2 hours x 2 = 3. 8 birdhouses per 3 hours. 3 x 3 = 9 hours, 8 x 3 = 27

Answer:

24 birdhouses

Step-by-step explanation:

This is a proportional relationship.  y = kx, where k is the constant of proportionality.  We can determine k as follows:

4 birdhouses = k(1 1/2  hours), which leads to:

  4 birdhouses

------------------------- = 8/3 birdhouses/hr

    3/2 hours

In 9 hours, Ben can make (8/3)(9) birdhouses:  24 birdhouses

Answer:

[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]

[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]

Answer:

●an employer-offered retirement account that accepts contributions from employees and employers - 401(k)

●a tax-deferred retirement savings plan available to employees of some nonprofit - 403(b)

●a tax-advantaged college savings plan- 529 plan

●a tax-advantaged savings account available through employers to pay for qualified medical expenses- health FSA

Step-by-step explanation:

●401(k): Retirement

A 401(k) is one of the most well-known tools for retirement savings. A 401(k) is an employer-sponsored retirement plan that allows employees to contribute money on a pre-tax basis. Your contributions and earnings are not taxed until you start making withdrawals.

●403(b): Retirement

Like 401(k) accounts, a 403(b) is a form of an employer-sponsored retirement account. If you work for a public school, university, or non-profit organization, you may be eligible for a 403(b) account.

With a 403(b), you make contributions before taxes are taken out of your paycheck. You don’t pay taxes on the contributions .

● ROTH IRA: Retirement

A Roth IRA works differently than a Traditional IRA. Your contributions are not tax-deductible, and you make contributions with after-tax dollars. However, Roth IRAs offer a unique advantage: your earnings and withdrawals are tax-free. Roth IRAs have the same contribution limits as Traditional IRAs.

● 529 Plan: Education

A 529 education savings plan is a tool you can use to save for your child’s college tuition and fees. The money you invest can grow over time, and if the money is withdrawn to pay for qualified educational expenses, earnings are not subject to federal income tax. Depending on your state, your contributions may also be tax-deductible.

While 529 plans do not have contribution limits, contributions toward a 529 plan count as gifts and are subject to gift-tax laws.

● Flexible Spending Accounts: Health

Some employer-offered health insurance plans include flexible spending accounts (FSAs). With an FSA, you make pre-tax contributions into a separate account to use for health expenses. You can use your FSA dollars to purchase prescription and over-the-counter medications, pay your deductibles or coinsurance, and purchase medical supplies.

Answer:

Ok ok, I see. So the answer is -9.

Step-by-step explanation:

We know the expresion is:

-3(-2+5)

We need to distrubute the -3 to what is in the parthese.

When I say distribute, basically you need to multiply the numbers inside the parethese by -3. So we can think of it as:

-3*-2=6

and:

-3*5=-15

Which we can rewrite as:

(6-15)

Subtract 15 from 6 and you get -9:

6-15=-9

Sorry hope this helps!

Answer:

Simplify.

Rewrite the expression in the form z”. Z5 • Z6Simplify.

Rewrite the expression in the form z”. Z5 • Z6

Answer:

Simplify.

Rewrite the expression in the form z”. Z5 • Z6Simplify.

Rewrite the expression in the form z”. Z5 • Z6

Answer:

x = 13

Step-by-step explanation:

0.6(x + 2) = x - 4

0.6x + 1.2 = x - 4

x - 0.6x = 1.2 + 4

0.4x = 5.2

x = 52/4

x = 13

Answer:

3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Add all the numbers together, to get 31. Then add 9. That leaves you with 40. Divide that by 5, or the number of terms. You get 8.

Hope that this helps!

Answer:

Step-by-step explanation:pool or grass

Answer: The answer is C

Answer:

C

Step-by-step explanation:

(x²)(x³) = x 2+3

6 + (-3)

6 - 3

3

Answer:

the answer is c

Step-by-step explanation:

2 exponent 6 = 64

2 exponent -3 = .125

64x.125 = 8

2 exponent 3 = 2x2x2 = 8

(i don't know how to write exponents on my computer)

Answer:

C. 70

Step-by-step explanation:

Step-by-step explanation:

● 5(x+9)

● 5 (5)

● 5×9=45

● 5×5=25

● 45+25=70

Answer:

[tex]D) 15[/tex]

Step-by-step explanation:

[tex]39^{2}=36^{2} +PT^{2}[/tex]

[tex]PT^2=39^2-36^2[/tex]

[tex]PT=\sqrt{39^2-36^2}[/tex]

[tex]PT=15[/tex]

------------------------

hope it helps...

have a great day!!

Answer:

merhabalar !

HAVE A NİCE DAY

Answer:

11,73 cm (round to the nearest hundredths) ; 112 degrees

Step-by-step explanation:

circumference = 2 x radius x π = 2 x 6 x π = 37,699112 cm

measure of the arc =

37,699112 : 360 = x : 112

x = (112 * 37,699112)/360 = 11,728613 cm

the measure of the angle is given = 112 degrees

Answer:

(3x - 5)/4

Step-by-step explanation:

(3x - 5)/4 desribes five less than thrice a number x over four. Please let me know if this is what you mean.

Answer:

A subject and a predicate

Step-by-step explanation:

Have a good day :)

Answer:

1800

Step-by-step explanation:

Just find the area of all the triangles and add

Answer:

18 metres squared

Step-by-step explanation:

it looks like you want to find the area of the kite as a whole, and lucky for you, the kite is conveniently cut into right triangles.

to find the area of a right triangle, you use the equation

A = (b × h)/2

where A is the area, b is the base, and h is the height.

now we plug in the numbers for each individual area and solve for the total area.

let's start with the 1st triangle, where it's base is 30cm and the height is 25 cm.

A = (30 × 25)/2

A = 375 cm squared

now the next one whose base is 30 and it's height is also 25 (We just did this last time so the area is the same)

A = 375 cm squared

now we'll do the next one whose base is 30 and height is 35.

A = (30 × 35)/2

A = 525 cm squared

and the last one is the same as the one we just did so I'll just copy the other answer.

A = 525 cm squared

alright now we'll add up all of the areas we just found to get the total area of the kite.

Total A = 375 + 375 + 525 + 525

Total A = 1800 cm squared

now we will divide our total by 100 because it takes 100 centimetres to get 1 metre and what we have right now is centimetres.

1800/100 = 18 metres squared.

Answer:

(0, 8)

Step-by-step explanation:

The y-intercept is where the line/point crosses the y-axis, the line can cross more than once.