So a diameter is twice the radius
The formula is:
V = π(r^2)(h/3)
the half of 300 is 150, so the radius is 150
V = π(150^2)(150/3)
V = π(22500)(50)
V is about <span>3534291.74</span>

8 0

3 years ago

What’s the volume of the pyramid

ValentinkaMS [17]

Answer:

The volume of the given pyramid is 300 cm³

Step-by-step explanation:

The volume of a pyramid, $V_{pyramid}$ , is given as follows;

$V_{pyramid} = \dfrac{1}{3} \times Base \ area \times Height$

The height of the pyramid = 12 cm

The side length of the square base of the pyramid = 5 cm

The base area of the pyramid polyhedron with square base = 5 cm × 5 cm = 25 cm²

Therefore, by substitution, we have;

$V_{pyramid} = \dfrac{1}{3} \times 25 \ cm^2 \times 12 \ cm = 300 \ cm^3$

The volume of the given pyramid, V = 300 cm³.

5 0

3 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

Type no, one, or infinite to complete the statement. Type only lowercase letters. Do not type spaces in your answer. 3x - 4y = 6

julsineya [31]

Answer:infinite both can e simplifies

Step-by-step explanation:

3 0

3 years ago