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3 years ago

6

Find the surface area of the pyramid. The side lengths of the base are equal.

1 answer:

alexdok [17]3 years ago

8 0

Answer:

362.02

Step-by-step explanation:

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In parallelogram ABCD,m

yan [13]

Answer:

After that????? Please ask me the full question please.

Thank you

5 0

3 years ago

Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distr

bazaltina [42]

Answer:

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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.

Mean of 109.0 inches, and a standard deviation of 12 inches.

This means that $\mu = 109, \sigma = 12$

Sample of 25.

This means that $n = 25, s = \frac{12}{\sqrt{25}} = 2.4$

What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?

This is the p-value of Z when X = 112. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{112 - 109}{2.4}$

$Z = 1.25$

$Z = 1.25$ has a p-value of 0.8944.

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

7 0

3 years ago

(CO 3) A survey indicates that shoppers spend an average of 22 minutes with a standard deviation of 8 minutes in your store and

padilas [110]

Answer: 0.60

Step-by-step explanation:

Given: Mean : $\mu = 22\text{ minutes}$

Standard deviation : $\sigma = 8\text{ minutes}$

The formula to calculate z is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 20 minutes

$z=\dfrac{22-20}{8}=0.25$

The P Value = $P(z$

Hence, the probability that a randomly selected shopper will spend less than 20 minutes in the store= 0.60

5 0

3 years ago

What is the value of x?<br> Enter your answer in the box

Marina CMI [18]

Answer:

x = 45º

Step-by-step explanation:

well since a triangle has to equal 180º

then we just have to subtract 88º and 55º from 180º

180 - 80 - 55 = 45

therefore, x = 45

6 0

3 years ago

Give the equation of the circle centered at the origin and passing through the point (0,3)

rusak2 [61]

Answer:

The equation would be x^2 + y^2 = 9

Step-by-step explanation:

In order to find this, start with the base form of the circle.

(x - h)^2 + (y - k)^2 = r^2

Now we input the center as (h, k).

(x - 0)^2 + (y - 0)^2 = r^2

x^2 + y^2 = r^2

Now we can input the radius of 3 in for r

x^2 + y^2 = 3^2

x^2 + y^2 = 9

5 0

3 years ago