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lukranit [14]
2 years ago
6

for desert you can choose apple cherry blueberry or peach pie to eat and milk or juice to drink how many different possibilities

of one pie and one beverage are possible
Mathematics
1 answer:
Liula [17]2 years ago
7 0

Answer:

8 possibilities

Step-by-step explanation:

The pies we have to choose from are 1)Apple 2)Cherry 3)Blueberry or 4)Peach.

The beverages we have to choose from are 1)Milk and 2)Juice.

Here are the possibilities:

Apple + Juice

Apple + Milk

Cherry + Juice

Cherry + Milk

Blueberry + Juice

Blueberry + Milk

Peach + Juice

Peach + Milk

So we have a total of 8 possibilities for one pie and one beverage.

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Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are
Sergeu [11.5K]

Answer:

D. 0.9938.

Step-by-step explanation:

To solve this question, we need to understand 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 115 and a standard deviation of 8.

This means that \mu = 115, \sigma = 8

100 people are randomly selected

This means that n = 100, s = \frac{8}{\sqrt{100}} = 0.8

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

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

By the Central Limit Theorem

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

Z = \frac{117 - 115}{0.8}

Z = 2.5

Z = 2.5 has a p-value of 0.9938, and thus, the correct answer is given by option D.

8 0
3 years ago
20 points for this make sure u explain
arsen [322]

Answer:

it literally says +10

Step-by-step explanation:

scammer

6 0
3 years ago
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What is the surface area of the square pyramid?
e-lub [12.9K]

Answer:

SA = 16 units^2

Step-by-step explanation:

B - base

H - height

SA - surface area

B = 2

H = 3

SA = (B × B) + 4((1/2)×(B × H))

SA = (2×2) + 4((1/2)×(2×3))

SA = <u>16 units^2</u>

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2 years ago
In a lab a substance was was heated by 4°C each hour for 28 hours. What was the total change in temperature
g100num [7]

Answer:

The temp went up by 112c

Step-by-step explanation:

4*28=112c

Difference would be 112c

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Which of the following are solutions to the Quadratic Equation? Check all that apply.
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Answer:

the answer is B

Step-by-step explanation:

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