All categories

3 years ago

What is the volume of a hemisphere with a radius of 3.8in, rounded to the nearest tenth of a cubic inch

Mathematics

1 answer:

Pavel [41]3 years ago

7 0

Answer: $114.9\ in.^3$

Step-by-step explanation:

Given

The radius of the hemisphere is $r=3.8\ in.$

The volume of a hemisphere is given by

$V=\dfrac{2}{3}\pi r^3$

Insert the value

$V=\dfrac{2}{3}\pi \times (3.8)^3\\\\V=114.9\ in.^3$

You might be interested in

The hourly wages earned by 20 employees are shown in the first box and whisker plot below. The person earning $15 per hour quits

serg [7]

I added the plots in the attachments.

Answer:

The mean will decrease

The median will remain the same

Explanation:

1- checking the mean:

Mean of the salaries is calculated as follows:

$Mean = \frac{sum-of-salaries}{number-of-employees}$

Now, we can note that two parameters affect the mean, let's consider each:

a. Number of employees:

We are given that one employee is replaced with another. This means that the number of employees did not change

b. Sum of salaries:

We are given that a person earning $15 left and the new person earns $7. This means that:

New sum of salaries = old sum of salaries - 15 + 7 = old sum of salaries - 8

This means that the sum of salaries decreased by 8

Now, for the mean:

We can conclude that since the numerator decreased while the denominator stayed the same, the mean will decrease

2- checking the median:

In the whisker plots, the median is represented by the vertical line inside the plot.

In the first plot, we can note that the vertical line is nearly half the distance between 9 and 10. This means that, for the first plot, the median is approximately 9.5

In the second plot, the place of the median is unchanged. It is still approximately midway between 9 and 10 which means that the median in the second plot is approximately 9.5

Therefore, the median of the data remains unchanged.

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Solve the system of equations

nekit [7.7K]

Answer: x = 3 and y = 1

Step-by-step explanation:

y = - x + 4 ............... equation 1

y = x - 2 ............. equation 2

Solving the linear equation by substitution method , we have :

substitute equation 2 into equation 1 , that is

x - 2 = - x + 4

Add 2 to both sides , we have

x = -x + 4 + 2

Add x to both sides , we have

2x = 6

divide through by 2

x = 3

Substitute x = 3 into equation 2 to find the value of y , we have

y = x - 2

y = 3 - 2

y = 1

Therefore : x = 3 and y = 1

8 0

3 years ago

100 BRAINLY POINTS!!!

laila [671]

Answer:

C. Her sister grew about 0.75 inch each month.

Step-by-step explanation:

Given function:

y = 0.75x + 15

The function is linear and it represents:

y - current heigt of baby
x - number of months passed
0.75 - the slope is the monthly growth rate
15 - the y-intercept, is the initial height of baby

According the above explanation the correct answer choice is C

4 0

2 years ago

Read 2 more answers

What value of x makes the equation -6x-20=-2x+4 (1-3×) true

dmitriy555 [2]

Answer:

x = 3

Step-by-step explanation:

-6x - 20 = -2x + 4 (1 - 3x)

Distributive property

-6x - 20 = -2x + 4 - 12x

Combine like terms

-6x - 20 = -14x + 4

Add 14x to both sides

-6x - 20 + 14x = -14x + 4 + 14x

Simplifying

8x - 20 = 4

Add 20 to both sides

8x = 24

Divide both sides by 8

x = 3

4 0

3 years ago

May you tell me which one is the Correct Answer, Thank you.

nexus9112 [7]

No the correct answer is c. If you use the formula
Y2- Y1
X2-X1
You could use this to find the slope. And then the y-intercept if any.

6 0

3 years ago