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3 years ago

What is a area of a triangle with a heigt of 5 inches and a base of 10inches

Mathematics

1 answer:

nydimaria [60]3 years ago

7 0

Answer: 25 in²

Step-by-step explanation: To find the area of a triangle, start with the formula for the area of a triangle which is shown below.

$Area =$ $\frac{1}{2} bh$

In this problem, we're given that the base is 10 inches

and the height is 5 inches.

Now, plugging into the formula, we have $(\frac{1}{2})(10in.)(5 in.)$ .

Now, it doesn't matter which order we multiply.

So we can begin by multiplying (1/2) (10 in.) to get 5 inches.

Now, (5 in.) (5 in.) is 25 in².

So the area of the triangle is 25 in².

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Use the empirical rule to solve the problem. The annual precipitation for one city is normally distributed with a mean of 288 in

nadezda [96]

Answer:

$z=-1.99$

$z=1.99$

And if we solve for a we got

$a=288 -1.99*3.7=214.4$

$a=288 +1.99*3.7=295.4$

And the limits for this case are: (214.4; 295.4)

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the annual precipitation of a population, and for this case we know the distribution for X is given by:

$X \sim N(288,3.7)$

Where $\mu=288$ and $\sigma=3.7$

The confidence level is 95.44 and the signficance is $1-0.9544=0.0456$ and the value of $\alpha/2 =0.0228$ . And the critical value for this case is $z = \pm 1.99$

Using this condition we can find the limits

$z=-1.99$

$z=1.99$

And if we solve for a we got

$a=288 -1.99*3.7=214.4$

$a=288 +1.99*3.7=295.4$

And the limits for this case are: (214.4; 295.4)

8 0

3 years ago

Malik earned $2,344.55 fixing computers. He charged $35.50 per hour. Which expression does NOT use appropriate compatible number

Mademuasel [1]

I will say b 2,400 and some else

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3 years ago

1. Fifty-eight thousandths

kap26 [50]

fifty-eight thousandths?

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3 years ago

The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original

evablogger [386]

Here as the Pentagon is regular so it's all sides will be of equal length . And if we assume It's each side be s , then it's perimeter is going to be (s+s+s+s+s) = 5s.And as here , each side is increased by 8 inches and then it's perimeter is 65 inches , so we got that it's side after increament is (s+8) inches and original length is s inches . And if it's each side is (s+8) inches , so it's perimeter will be 5(s+8) and as it's equal to 65 inches . So , 5(s+8) = 65