Of the 800 participants in a marathon, 120 are running to raise money for a cause. How many participants out of 100 are running for a cause

Answer:

4pi in^2

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

π = pi

r = radius

h = height

Let me illustrate with an example

A cylinder has the following dimensions

r = radius = 20  

h = height  = 10

lateral area = 2 x π x 20 x 10 = 400π

If dimensions are reduced to one-fifth their original length, new dimensions are

r = radius = 20  x 1/5 = 4

h = height  = 10 x 1/5 = 2

New lateral area = 2 x 4 x 2 x π = 16π

change in lateral area = 400π / 16π = 25

If dimensions are reduced by 1/5, lateral area would reduce by 25

100 pi / 25 = 4

Answer:

the x axis contains the arithmetic sequence

Step-by-step explanation:

Answer: Keith spent 3 hours renting the surfboard.

Step-by-step explanation:

h=hour

10.25h+25=55.75

55.75-25= 30.75

30.75/10.25= 3

and if you want to check you can do

10.25(3)+25=

which would equal to 55.75

Option D is correct, the  pair (4,6,7) is not a Pythagorean triple

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

A Pythagorean triple is a set of three positive integers a, b, and c that satisfy this theorem (a² + b² = c²).

Checking each of the given options, we have:

A. (5, 12, 13):

5² + 12² = 25 + 144 = 169 = 13². This is a Pythagorean triple.

B. (6, 8, 10):

6² + 8² = 36 + 64 = 100 = 10². This is also a Pythagorean triple.

C. (9, 12, 15):

9² + 12² = 81 + 144 = 225 = 15². This is a Pythagorean triple.

D. (4, 6, 7):

4² + 6² = 16 + 36 = 52 ≠ 7². This is not a Pythagorean triple.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer:

75%

Step-by-step explanation:

Answer:

A)65°

B)110°

C)50°

D)55°

E)80°

Step-by-step explanation:

Since the angle on a straight line should be 180, you  simply subtract the given angles from 180

hope I helped

Answer:

-14

Step-by-step explanation:

isolate x's on one side so subtract 8.5x and add 1 on both sides

[tex]-14 = 1x[/tex]

simplifies to

x = -14

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

[tex]Pitches = 7[/tex]

[tex]P(Hit) = 80\%[/tex]

[tex]Win = \$60[/tex]

[tex]Lost = \$10[/tex]

Fast Ball Challenge

[tex]Pitches = 3[/tex]

[tex]P(Hit) = 70\%[/tex]

[tex]Win = \$60[/tex]

[tex]Lost = \$10[/tex]

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]

Where

[tex]n = 7[/tex] --- pitches

[tex]x = 7[/tex] --- all hits

[tex]p = 80\% = 0.80[/tex] --- probability of hit

So, we have:

[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]

[tex]P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}[/tex]

[tex]P(7) =1 * 0.80^7 * (1 - 0.80)^0[/tex]

[tex]P(7) =1 * 0.80^7 * 0.20^0[/tex]

Using a calculator:

[tex]P(7) =0.2097152[/tex] --- This is the probability that he wins

i.e.

[tex]P(Win) =0.2097152[/tex]

The probability that he lose is:

[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule

[tex]P(Lose) = 1 -0.2097152[/tex]

[tex]P(Lose) = 0.7902848[/tex]

The expected value is then calculated as:

[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]

[tex]Expected = 0.2097152 * \$60 + 0.7902848 * \$10[/tex]

Using a calculator, we have:

[tex]Expected = \$20.48576[/tex]

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]

Where

[tex]n = 3[/tex] --- pitches

[tex]x = 3[/tex] --- all hits

[tex]p = 70\% = 0.70[/tex] --- probability of hit

So, we have:

[tex]P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}[/tex]

[tex]P(3) =1 * 0.70^3 * (1 - 0.70)^0[/tex]

[tex]P(3) =1 * 0.70^3 * 0.30^0[/tex]

Using a calculator:

[tex]P(3) =0.343[/tex] --- This is the probability that he wins

i.e.

[tex]P(Win) =0.343[/tex]

The probability that he lose is:

[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule

[tex]P(Lose) = 1 - 0.343[/tex]

[tex]P(Lose) = 0.657[/tex]

The expected value is then calculated as:

[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]

[tex]Expected = 0.343 * \$60 + 0.657 * \$10[/tex]

Using a calculator, we have:

[tex]Expected = \$27.15[/tex]

So, we have:

[tex]Expected = \$20.48576[/tex] -- Slow ball

[tex]Expected = \$27.15[/tex] --- Fast ball

The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.

Answer:

r will be half of your diameter so 11 divided by 2 = 5.5 is your new radius.

To find surface area we use the basic formula:

4πr^2

4 x 3.14 x 30.25(radius squared, 5.5 x 5.5 = 30.25) = 379.94 ft^2 is your surface area

Answer:

r= 5

Step-by-step explanation:

because 5^3 = 125 or 5*5*5 = 125

Answer:

A because the river is fastest at that shore

Step-by-step explanation:

Answer:

[tex]x=144[/tex]

Step-by-step explanation:

Therefore, [tex]x=144[/tex] should be your final answer.

Answer:

6 cells

Step-by-step explanation:

2 by 3  between groups ANOVA will be performed where independent variables are 2 and dependent variables are 3.There are total 6 cells

                               Independent Var 1            Independent Var 2

Dependent Var 1           1*1                                        1*2

D. VAr 2                         2*1                                       2*2  

D. Var 3                           3*1                                   3*2

There are total six cells.

                                Study-Study                     Study-Test

5 minutes,                1*1                                        1*2

2 days,                    2*1                                       2*2  

 1 week                    3*1                                       3*2

Answer:

y=8

Step-by-step explanation:

the sum of the three angles is 180

57 + 90 + 5y-7 = 180

5y + 140 = 180

5y = 40

y = 8

Answer:

If you are finding the volume the answer is (3x4)x4

Step-by-step explanation:

Formula for the volume of a rectangular prism is length times width times height

Answer:

c. (h, k)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Radius = 3.25

Base = πr² = π(3.25)²

Height = 12

Volume = Bh = π(3.25)²(12)

Answer:

A(n) isometry is a mapping that does not change the size of the original figure.

Answer:

Isometry

Step-by-step explanation:

Isometry is a mapping that does not change the size of the original figure.

Answer: rectangle not sure tho

Step-by-step explanation:

Answer:

Step-by-step explanation:

i chose B:square, i out in the points and that what shape came up. srry if im wrong

Here are the ways that you can find an equivalent fraction:

Multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.

Answer:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 88

Step-by-step explanation:

Given

The first row has 16 seats

then there are 3 more seats in each row

this follows an AP with the first term [tex]a=16[/tex] and common difference [tex]d=3[/tex]

So, no of seats in the 25 th row is

[tex]\Rightarrow a_{25}=a+24d\\\Rightarrow a_{25}=16+3\times 24\\\Rightarrow a_{25}=88[/tex]

Thus, there are 88 seats in the 25 th row

Answer:

(x - 8)² + (y - 15)² = 9

Step-by-step explanation:

Assuming you want the equation.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (8, 15 ) and r = 3 , then

(x - 8)² + (y - 15)² = 9

Answer:

x = 50

Step-by-step explanation:

3x - 10 and 2(x + 10) are vertical angles and congruent , so

3x - 30 = 2(x + 10)

3x - 30 = 2x + 20 (  subtract 2x from both sides )

x - 30 = 20 ( add 30 to both sides )

x = 50

Answer:

c 8 inches

Step-by-step explanation: