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3 years ago

What is the radius of a circle with an area of 50.24 cubic inches? Use 3.14 for pi. Enter your answer in the box.

Mathematics

1 answer:

N76 [4]3 years ago

7 0

Hope this helps you..!!!

Answer:

r=4

Step-by-step explanation:

Area of a circle is

A = pi* r^2

We know the area and 3.14 = pi

50.24 = 3.14 * r^2

Divide each side by 3.14

50.24/3.14 =3.14 /3.14 *r^2

16 = r^2

Take the square root of each side

sqrt(16) = sqrt(r^2)

4 =r

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Skyscraper Windows

Musya8 [376]

Answer:

A.) $2,166

B.) $10,545

C.) (n/2)(3.5 + 0.5n) × 38

Step-by-step explanation:

Floor - - - - - - - - - - 1 - - - - - - - 2 - - - - - - - 3

Cost / window - - $2.00 - - - $2.50 - - - $3.00

Cost of washing first floor = $2 × 38

Cost of second floor is: (2 + 0.5) × 38

Cost of third floor is: (2 + 2 × 0.5) × 38

Cost of n floor : (2 + (n - 1) × 0.5) × 38

Therefore,

Total cost :

(2 + (2 + 0.5) + (2 + 2*0.5) + ... + (2 + (n - 1)*0.5)) × 38

Using Arithmetic progression for the sequence :

2, (2 + 0.5), (2 + 2*0.5),..., (2 + (n - 1)*0.5)

first term 'a' = 2; common difference 'd' = 0.5

Sum of the first n terms of arithmetic sequence terms is:

S = (n/2)(2a + (n - 1)d) ; Where a = 2 and d = 0.5

S = (n/2)(2*2 + (n - 1)*0.5)

S = (n/2)(4 + 0.5n - 0.5)

S = (n/2)(3.5 + 0.5n)

To wash all windows with n stories :

S × 38 windows

A.) To wash all windows : stories = 12

n = 12

(12/2)(3.5 + 0.5(12)) × 38

6(3.5 + 6) × 38 = $2,166

B.) if building is 30 stories tall:

n = 30

(30/2)(3.5 + 0.5(30)) × 38

15(3.5 + 15) × 38 = $10,545

C.) If building is n stories tall :

(n/2)(3.5 + 0.5n) × 38

4 0

3 years ago

True or False. Explain reasoning

Kay [80]

Answer:

false

Step-by-step explanation:

hope it helps

yan lang po alam ko

5 0

3 years ago

Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the fiv

Dahasolnce [82]

Answer and Explanation:

Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.

To find :

a. Does the table show a probability distribution?

b. Find the mean and standard deviation of the random variable x.

Solution :

a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.

$\sum P(X)=0.029+0.147+0.324+0.324+0.147+0.029$

$\sum P(X)=1$

Yes it is a probability distribution.

b) First we create the table as per requirements,

x P(x) xP(x) x² x²P(x)

0 0.029 0 0 0

1 0.147 0.147 1 0.147

2 0.324 0.648 4 1.296

3 0.324 0.972 9 2.916

4 0.147 0.588 16 2.352

5 0.029 0.145 25 0.725

∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436

The mean of the random variable is

$\mu=\sum xP(x)=2.5$

The standard deviation of the random sample is

$Variance=\sigma^2$

$\sigma^2=\sum x^2P(x)-\mu^2$

$\sigma^2=7.436-(2.5)^2$

$\sigma^2=7.436-6.25$

$\sigma^2=1.186$

$\sigma=\sqrt{1.186}$

$\sigma=1.08$

Therefore, The mean is 2.5 and the standard deviation is 1.08.

5 0

3 years ago

Im so confused, can someone explain this to me? i suck at math

matrenka [14]

Answer:

My guess would be that the slope is -3

Step-by-step explanation:

Based on what I was taught, I would use the formula y2-y1/x2-x1

-7 - 2

---------- = -3

-3 - (-6)

5 0

3 years ago

Find the slope of (1,2),(4,3)

dalvyx [7]

Answer:

m= 1/3

Step-by-step explanation:

to find slope: y2-y1/ x2-x1 so,

3-2/4-1= 1/3

4 0

3 years ago

Read 2 more answers