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3 years ago

Find the volume of the sphere need help

Mathematics

1 answer:

Ivanshal [37]3 years ago

4 0

Answer:

36pi

Step-by-step explanation:

volume = (4/3) · π · r3

in this case r = 3

4/3 x pi x r^3

3 cubed = 27

27 x pi x 4/3

27 x 4/3 = 36

36 $\pi$ is the answer

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Which of the following represents the factorization of the trinomial below?

rosijanka [135]

Answer:

B. (x-3)^2

Step-by-step explanation:

x^2-6x+9 = (x-3)^2

(a-b)^2=a^2-2ab+b^2

(a+b)^2=a^2+2ab+b ^2

6 0

2 years ago

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor

Katena32 [7]

Answer:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Thus, Exam 3 score becomes the dependent variable and exam 1 score is the independent variable.

The regression equation is given by:

$\hat{y} = 50.57+0.4845x$

Comparing the equation to a linear equation:

$y = mx + c$

m = 0.4845

c = 50.57

Where m is the slope and tells the rate of change and c is the y intercept that is the value of y when x is 0.

When, there is a increase in x, we can write:

$\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1) - \hat{y}(x) = 50.57+0.4845(x+1)-(50.57+0.4845x)\\\hat{y}(x+1) - \hat{y}(x) = 0.4845$

Thus, the slope of equation can be interpreted as:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

5 0

3 years ago

The rectangular floor of a room is 4 feet and 6 inches wide and 8 feet and 3 inches long. How many square yards of floor coverin

siniylev [52]

148.5 square yards of floor covering will be needed to cover the floor.

Step-by-step explanation:

Width of floor = 4 feet 6 inches

Length of floor = 8 feet 3 inches

As we know,

1 foot = 12 inches

Therefore,

Width of floor = 4(12) + 6 = 54 inches

Length of floor = 8(12) + 3 = 99 inches

Area of floor = Length * Width

$Area\ of\ floor=54*99\\Area\ of\ floor= 5346\ in^2$

36 Inch = 1 yard

1 inch = $\frac{1}{36}\ yards$

5346 inches = $\frac{1}{16}*5346 =148.5\ square\ yards$

148.5 square yards of floor covering will be needed to cover the floor.

Keywords: conversion, area

Learn more about areas at:

#LearnwithBrainly

6 0

3 years ago

Answer please I'm too lazy

suter [353]

1. 16

2. 41

3. 367

4. -2

5. 76

6. 58

7. 30

8. 11.25

9. 8

10. 657

11. 492

12. 357

6 0

3 years ago

里

Elden [556K]

Answer:

Step-by-step explanation:

8 0

1 year ago