A trapezoid has a height of 10 feet, and base measurements of 20 feet and 8 feet. What is the area?

Please give me the answer

Charra [1.4K]

Answer:

13.9

Step-by-step explanation:

To find the mean, add the two numbers and divide by two.

(13.9+13.9)/2=13.9

7 0

3 years ago

Read 2 more answers

The value of a company in millions of dollars during its first 10 years increased by 2% each year.The original valuation of the

solong [7]

Answer:

Step-by-step explanation:

The rate at which the value of the company increased is exponential.

We would apply the formula for exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the value of the company after t years.

t represents the number of years.

P represents the initial value of the company.

r represents rate of growth.

From the information given,

P = 2.1 million

r = 2% = 2/100 = 0.02

t = x years

The function to represent the value of the company, x years after being founded is

A = 2.1 × 106(1 + 0.02)^x

Therefore, the worth of the company in 6 years is

A = 2.1 × 106(1 + 0.02)^16

A = 2.1 × 10^6(1.02)^6

2364941

The worth of the company in 2 years is

A = 2.1 × 10^6(1 + 0.02)^2

A = 2.1 × 10^6(1.02)^2

A = 2184840

The difference in worth of the company after 6 years and after 2 years is

2364941 - 2184840 = $180101

8 0

3 years ago

The health of the bear population in a park is monitored by periodic measurements taken from anesthetized bears. A sample of the

Vikki [24]

Answer:

$182.167-2.03\frac{114.05}{\sqrt{36}}=143.580$

$182.167+2.03\frac{114.05}{\sqrt{36}}=220.754$

So on this case the 95% confidence interval would be given by (143.580;220.754)

Step-by-step explanation:

Assuming the following dataset:

77, 349,417,349, 167 , 225, 265, 360,205

145,335,40,139, 177,108, 163, 202, 22

123,439, 125,135, 86,43, 217,49, 156

119,178, 151, 61, 350, 312, 91, 89,89

We can calculate the sample mean with the followinf formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}= 182.167$

And the sample deviation with:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}=114.05$

The sample size on this case is n =36.

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=182.167$ represent the sample mean

$\mu$ population mean (variable of interest)

s=114.05 represent the sample standard deviation

n=36 represent the sample size

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The point estimate of the population mean is $\hat \mu = \bar X =182.167$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=36-1=35$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,35)".And we see that $t_{\alpha/2}=2.03$