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3 years ago

Find the volume of the prism below

Mathematics

1 answer:

myrzilka [38]3 years ago

7 0

The volume of the prism is 40 because 5 x 8 =40

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How many midpoints can a line segment have?

azamat

There is 2 midpoints on a line segment.

5 0

2 years ago

A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70

TEA [102]

Answer:

She needs to sample 189 trees.

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.

The standard deviation of the population is 70 peaches per tree.

This means that $\sigma = 70$

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

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

$10 = 1.96\frac{70}{\sqrt{n}}$

$10\sqrt{n} = 1.96*70$

Dividing both sides by 10:

$\sqrt{n} = 1.96*7$

$(\sqrt{n})^2 = (1.96*7)^2$

$n = 188.2$

Rounding up:

She needs to sample 189 trees.

3 0

2 years ago

What is the common ratio between successive terms in the sequence

wel

Let a₁ , a₂ , a₃ , a₄ ,... .be a given sequence.
The common ratio of this sequence is the following:
a₂/a₁ = a₃/a₂ = a₄/a₃ = r

Example: 5, 25, 125, 625, ...The common ration is:
25/5 = 125/25 = 625/125 = 5. So r=5 is the common ratio

7 0

3 years ago

Each side length of a triangle is 4 cm. What type of triangle is it?

KIM [24]

Equilateral, because the sides are equal

3 0

3 years ago

A small diner has one employee and a counter with seating for 8 customers. The diner does not package food for takeout. Customer

marissa [1.9K]

Answer:

12 customers are waiting each hour to enter the diner

Step-by-step explanation:

20 customers arrive each hour to the diner. 8 customers ocuppy the seats each hour, and 12 are left waiting outside.

6 0

3 years ago