40 80 100 how many triangles can you make

Question 1-3........

Xelga [282]

1. Answer:

C. 1050

Step-by-step explanation:

To find the area of a rectangle, it is length * width * height

25 * 7 = 175

175 * 6 = 1050

2. Answer:

C. 8

Step-by-step explanation:

To find the missing dimension of a rectangle, you can easily just divide the total by each dimension

540 divided by 7.5 = 72

72 divided by 9 = 8

3. Answer:

D. 31,400

(31,415.9)

Step-by-step explanation:

The radius of the cylinder is 20

The height of the cylinder 25

πr2h is the formula used to find the volume of a cylinder

3 0

3 years ago

Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46

JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

$M = \frac{50463-38737}{2} = 5863$

Relating the margin of error with the sample size:

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

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.64.

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.

For this problem, we have that $\sigma = 14300, M = 5863$ . So

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

$5863 = 1.645\frac{14300}{\sqrt{n}}$

$5863\sqrt{n} = 1.645*14300$

$\sqrt{n} = \frac{1.645*14300}{5863}$

$(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2$

$n = 16$

The sample size was of 16.

7 0

3 years ago

Adding and subtracting rational expressions

uysha [10]

Answer:

Step-by-step explanation:

When adding or subtracting rational expressions, it is easiest to find a common denominator.

Ex.

$\frac{x+2}{x-5} + \frac{x-7}{x} \\$

The common denominator would be $x(x-5)$

We need to make both fractions have that denominator

$\frac{(x+2)(x)}{(x-5)x} + \frac{(x-7)(x-5)}{x(x-5)} \\\frac{(x^2+2x)+(x^2-12x+35)}{(x^2-5x)}\\\frac{2x^2-10x+35}{(x^2-5x)}$

3 0

4 years ago

8. Simplify 5mn2 - 8m + mn2.

uranmaximum [27]

Answer:

Step-by-step explanation:

$5mn^2-8m+mn^2\ \\ 6mn^2-8m\\ \\ 2m(3n^2-4)$

3 0

3 years ago

At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 o

Paul [167]

There were 199 trees that produced the harvest. 5 trees would produce 1050 oranges.

8 0

3 years ago