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Brrunno [24]
3 years ago
10

A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the t

riangle to be 8 feet. The area of the logo must be at least 36 square feet. (The logo has to be seen from all the seats.) Write an inequality that describes the possible base lengths (in feet) of the triangle.
Use b for the base length of the triangular logo.

SOMEONE PLS HELP ME! THANK YOU!
Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

b\geq 9

In other words, the base must be at least 9 feet long.

Step-by-step explanation:

The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.

Recall that the area of a triangle is given by:

\displaystyle A = \frac{1}{2}bh

Since we want to area to be at least 36 square feet:

\displaystyle \frac{1}{2}bh \geq 36

We are given that the height is eight feet. Substitute:

\displaystyle \frac{1}{2}(8)b\geq 36

Simplify:

4b\geq 36

Divide both sides by four. Hence, our inequality is:

b\geq 9

In words, this means that the base must be at least 9 feet long.

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Step-by-step explanation:

Either you wanted me to simplify all those variables or you just had a seizure on your keyboard.

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What is .838383... as a fraction in simplest form?
Goshia [24]

Answer:

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Step-by-step explanation:

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25 points for this one plz help and explain how you got the answer!!
tia_tia [17]

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2 years ago
Researchers would like to know the mean body temperature of runners at the completion of a marathon. They plan to take a random
sasho [114]

Answer:

They would know a and b.

a. The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.

b. Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.

c. To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

a. The value of the mean of the sampling distribution of the sample mean.

The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.

b. The approximate shape of the sampling distribution of the sample mean.

Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.

c. The standard deviation of the sampling distribution of the sample mean.

To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.

5 0
3 years ago
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