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Papessa [141]
3 years ago
13

A square pyramid has a height h and a base with side length b. The side lengths of the base increase by 50%. Write a simplified

expression that represents the volume of the new pyramid in terms of b and h.
Mathematics
1 answer:
Otrada [13]3 years ago
8 0
The general formula for the volume of a square pyramid is

V = (1/3)b^2 h

If b increase by 50% their new length = 3b/2

Therefore the volume of the new pyramid is

V = (1/3) (3b/2)^2 h

  = (1/3)  9b^2 / 4   h

  =  3/4b^2 h Answer
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18. A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45, what is the 99% confidenc
Agata [3.3K]

Given:

Sample mean = 65.4

Standard deviation = 1.2

Sample size = 45

Confidence level = 99%

To find:

The confidence interval.

Solution:

The formula for confidence interval is

CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}

where, \overline{x} is sample mean, z* is confidence value, s is standard deviation and n is sample size.

Confidence value or z-value at 99% = 2.58

Putting the given in the above formula, we get

CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}

CI=65.4\pm 0.46

CI=65.4-0.46\text{ and }CI=65.4+0.46

CI=64.94\text{ and }65.86

Therefore, the correct option is D.

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2 years ago
Will give brainliest for correct answer
Lemur [1.5K]

Answer:

e

Step-by-step explanation:

ddd

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3 years ago
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What is 2/8 x 4/5<br> a.6/40<br> b.8/40<br> c.6/13<br> d.8/13
Leya [2.2K]
The answer is B 8/40
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Write the equation 8y = 1/12 x – 0.8 in standard form. Identify A, B, and C.
PolarNik [594]

Answer:

The equation is 10x - 960y = 96

A = 10 , B = -960 , C = 96

Step-by-step explanation:

* Lets explain the standard form of the linear equation

- The standard form of the linear equation is :

 AX + BY = C , where A , B , C are constant

- A is a positive integer, and B, and C are integers

- The slope of the line is -A/B

- The y-intercept is C/A

- Lets solve the problem

∵ The equation of the line is 8y = 1/12 x - 0.8

- At first multiply the equation by 12 to make the coefficient of x integer

∴ (8 × 12) y = (1/12 × 12) x - (0.8 × 12)

∴ 96y = x - 9.6

- Multiply the two sides of the equation by 10 to make 9.6 integer

∴ (96 × 10) y = (1 × 10) x - (9.6 × 10)

∴ 960y = 10x - 96

- Add the two sides by 96

∴ 960y + 96 = 10x

- Subtract 960y from both sides

∴ 96 = 10x - 960y

∴ The standard form of the equation is 10x - 960y = 96, where

  A = 10 , B = -960 , C = 96

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3 years ago
At one factory the ratio of defective light bulbs produced to total light bulbs produced is about 4:500.How many light bulbs are
Dennis_Churaev [7]

Answer:

it could approximately 40-100

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