give it a line segment containing the points AB and C in order if AB is four and BC is 16 then what is the length of AC

The probability that the event management company will sign the contract with the dance studio is; c. 0.024

The general formula for binomial Probability is;

P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾

From the question, we want to find;

P(X = 75)

where;

Sample size; n = 120 and probability of success; p = 0.69

Thus, we have;

P(X = 75) = ¹²⁰C₇₅ * 0.69⁷⁵ * (1 - 0.69)⁽¹²⁰ ⁻ ⁷⁵⁾

P(X = 75) = 0.024

Read more about Binomial Probability at; https://brainly.com/question/2879525

Answer:

36 units

Step-by-step explanation:

Break it into 2 right triangles with legs  6 and 8    then the hypot = 10

8 +8 + 10 + 10 =36

Answer:

Step-by-step explanation:

Lateral Surface Area of the Cylindrical Part

Slant height of cone

Surface Area of Conical Portion

Total Surface Area :

Volume

Hope it helps.

If you have any query, feel free to ask.

Answer:

see explanation

Step-by-step explanation:

There are 4 sections on the spinner so each option is 1/4

1) 4 Ds = 1/4 × 1/4 × 1/4 × 1/4 × 3/4 × 3/4 = 9/4096

the other two spins can be A, B, or C (3/4)

2) 2As = 1/4 × 1/4 × 3/4 × 3/4 × 3/4 × 3/4

the other two spins can be B, C, or D (3/4)

3) 2As = 1/4 × 1/4 = 1/16    OR means add

   3Bs = 1/4 × 1/4 × 1/4 = 1/64

1/16 + 1/64 = 5/64

4) at least 4 Cs = 1/4 × 1/4 × 1/4 × 1/4 =1/256

The radius of the softball is 2.5 inches

The volume of a sphere is given by

V = 4/3 pi r^3

We know the volume is 125/6 pi

Substituting in

125/6 pi = 4/3 pi r^3

Divide by pi on each side

125/6 pi/ pi = 4/3 pi/ pi r^3

125/6 = 4/3  r^3

Multiply by 3/4 on each side to isolate r

125/6 * 3/4 = 3/4 *4/3  r^3

125/8 = r^3

Take the cube root on each side

(125/8) ^ 1/3 = (r^3) ^ 1/3

5/2 = r

2.5 =r

The radius of the softball is 2.5 inches

Answer:

[tex]\huge\boxed{\sf r = 2.5 \ in.}[/tex]

Step-by-step explanation:

[tex]\sf Volume \ of \ sphere = \frac{4}{3} \pi r^3\\\\Where \ volume = \frac{125 \pi }{6 } \ in.^3\\\\Put \ in \ the \ above\ formula:\\\\\frac{125 \pi}{6} = \frac{4}{3} \pi r^3\\\\Cancel \ pi\\\\\frac{125}{6} = \frac{4}{3} r^3\\\\20.83 = 1.33 r^3\\\\Divide \ 1.33 \ to \ both \ sides\\\\20.83/1.33 = r^3\\\\15.625 =r^3\\\\Take \ cube \ root \ on \ both \ sides\\\\\sqrt[3]{15.625} = \sqrt[3]{r} \\\\2.5 = r\\\\[/tex]

[tex]\sf r = 2.5 \ in.\\\\\rule[225]{225}{2}[/tex]

Answer:

$28.92

Step-by-step explanation:

Find the discount

28.99 × 0.05 = 1.4495

28.99-1.4495 = 27.5405

Calculate the tax of the discounted item

27.5405 x 0.05 = 1.377

27.5405 + 1.377 = 28.9175

The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17

Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.

FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:

How to calculate Tonja's Tax before deduction

Federal Tax rate first level is 10% on 0$ - $19,900.

1) Hence, the first tax is 10% on $600, which is $60

2) The next tax is FICA. This is applied to the Gross Pay of $600.

Applying both taxed under FICA we have 7.65% * $600 = $45.9

Total Tax before a deduction is:

$60 + $45.9 = $105.6

The Tax Payable if childcare expenses is deducted first will be:

10% on $450     = $45

7.65% on $450 = $34.43

Total                   = $79.43

Hence the tax savings will be:

105.6 - 79.43 = $26.17

Learn more about FICA Tax at:
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Answer: (not sure)

right

median

range the iqr

The relative frequency table is a two way table, and the value of y in the relative frequency table is 27%

From the complete question, we have the following row

y    24%   51%

Express the row as an equation

y + 24% = 51%

Subtract 24% from both sides

y + 24% - 24%= 51% - 24%

Evaluate the difference

y = 27%

Hence, the value of y in the relative frequency table is 27%

Read more about relative frequency table at:

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Step-by-step explanation:

I edit this on computer, because I have class later

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't know if it's correct

Answer and Explanation:

Sara's sample is biased, she's only taking people that naturally would pull out their phones as they are waiting for a bus to arrive.

Sara's claim is not valid, the sample is too small and biased to be applied to her whole town.

Answer:

180 students speak English

Step-by-step explanation:

320÷16=20

20×9=180

Answer:

y = -7

Step-by-step explanation:

2y + 7 = -7

Subtract 7 from both sides.

2y + 7 - 7 = -7 - 7

2y = -14

Divide both sides by 2.

2y/2 = -14/2

y = -7

Answer:

[tex]\huge\underline{Answer - }[/tex]

[tex]\bold{8 = - x + 10} \\ \\ \bold{\implies \: - x = 8 - 10} \\ \\ \bold{\implies \: \cancel - x = \cancel - 2 }\\ \\ \bold{\implies x\: = 2}[/tex]

hence , the given statement is true !

hope helpful ~

Answer:

Step-by-step explanation:

So, Lets find out if the solution is true or not, So first let us find the value of x.

⇒ 8 = -x + 10

We can rewrite the equation as,

⇒ -x + 10 = 8

Subtracting 10 from both sides we get :

⇒ -x + 10 – 10 = 8 – 10

⇒ -x = -2

Multiplying both sides by (-1) :

⇒ -1(-x) = -1(-2)

⇒ x = 2

Therefore,

Solution

x=\frac{-5 \pm \sqrt{13}}{6}

Answer:

(-7,-3)

Step-by-step explanation:

explained in graph :)

If the number of the edges of the polyhedron is 14 and the vertices are 9. Then the number of the faces of the polyhedron is 7.

A polyhedron is a solid made composed of polygons in three dimensions. It has vertices, flat faces, and straight edges.

We know the Euler's formula

F + V - E = 2,

where, F = number of faces, V = number of vertices, and E = number of edges

Edges: 14

Vertices: 9

F + 9 - 14 = 2

            F = 14 + 2 - 9

            F = 16 - 9

            F = 7

Then the number of the faces of the polyhedron is 7.

More about the polyhedron link is given below.

https://brainly.com/question/2321456

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Answer:

the fourth option

Step-by-step explanation:

due to the range and median the range is 4 to 17 and the median is 10

Answer: It should be this exactly: (x+4)(x-3)=0

Step-by-step explanation:

Answer:

take 95% and 0.06 and find what is half of 95 and then multiply that by 95 and then put it in a fraction. amd circle your final answer

Answer:

It should somewhat look like the graph below...

Hope it helps!

Answer:

Step-by-step explanation:

7x+103=180

180-103=77

77=7x

77/7=x        x=11

<W: 55-23=32

<v: 58

<x:90

Answer:

The volume of c. figure is equal to 90 cm³

Step-by-step explanation:

These are the cuboids

The volume of a cuboid = l×b×h

A. 2×6×5

=> 60 cm³

B. 8×2×4

=> 64 cm³

C. 5×6×3

=> 90 cm³

D. 3×7×2

=> 42 cm ³

so, the volume of c. cuboid is equal to 90 cm ³

Answer:

[tex]10x + 10x^{2} + 2x\\= 10x + 2x + 10x^{2}\\= 12x + 10x^{2}\\= \boxed{2x(6 + 5x)}[/tex]

Given Expression,

We can also write it as,

Now, Combining the like terms,

We simplified the expression.

If you want it to factorise it,

⇒10x² + 12x

⇒ 2x(5x + 6)

This is required factorised expression

Answer:

B. -2

Step-by-step explanation:

Answer:

A = 24

Step-by-step explanation:

L * w = A

12 * 2 = 24

A = 24

Answer:

c)  9

Step-by-step explanation:

[tex]\textsf{Surface area of a cylinder}=2\pi r^2+2\pi rh[/tex]

(where r is the radius and h is the height)

Given:

Substitute given values into the equation to find the surface area:

[tex]\begin{aligned}\implies \textsf{Surface area} & =2\pi (15)^2+2\pi (15)(48)\\ & =1890 \pi\: \sf in^2\end{aligned}[/tex]

To calculate the number of cans of paint to be bought, divide the surface area by the area one can of paint will cover:

[tex]\implies \dfrac{1890 \pi}{720}=8.246680716...[/tex]

We need to round this number up, as rounding down will mean we will not have quite enough paint to cover the surface area of the cylinder.

Therefore, the numnber of cans of paint that must be bought to completely cover the tank with one coat of paint is 9.