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3 years ago

POTW 1

Mathematics

1 answer:

pychu [463]3 years ago

6 0

Answer:

Step-by-step explanation:

I went on calculator .__.

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In a survey 2900 of people who owned a certain type of car, 1740 said they would buy that type of car again. What percent of th

Usimov [2.4K]

Just multiple and you will get the percent you need for the answer

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3 years ago

The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit

Musya8 [376]

Answer:

C. 647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

Area of the octagon

$\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}$

where:

n = number of sides
l = length of one side
a = apothem

Given:

n = 8
l = 13
a = 15.69

Substitute the given values into the formula and solve for A:

$\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}$

$\implies \textsf{Area}=\sf \dfrac{1631.76}{2}$

$\implies \textsf{Area}=\sf 815.88\:\:square \:units$

Area of the square

$\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units$

Area of the shaded region

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

3 0

2 years ago

Read 2 more answers

Allan drew a polygon with 4 sides and 4 angles. All four sides are equal. None of the angles are right angles. What figure did A

Lady_Fox [76]

Answer: The figure drawn by Alan is a rhombus.

Step-by-step explanation:

Given: Allan drew a polygon with 4 sides and 4 angles with two properties:-

All four sides are equal.
None of the angles are right angles.

We know that only a rhombus is a flat shape with 4 equal straight sides and 4 angles .All sides have equal length. Its angles need not to be right angle.

Therefore, the figure drawn by Alan is a rhombus.

8 0

3 years ago

Read 2 more answers

Help please need an answer Fast

anygoal [31]

-7.5 times 1/3=-2.5

To take 1/3 of something, multiply the original by the fraction.

4 0

3 years ago

The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Rece

nlexa [21]

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that $\sigma = 10$

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$1 = 1.96\frac{10}{\sqrt{n}}$

$\sqrt{n} = 1.96*10$

$(\sqrt{n})^2 = (1.96*10)^2$

$n = 384.16$

Rounding up:

A sample size of 385 is needed.

7 0

3 years ago