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Likurg_2 [28]
3 years ago
13

ASAP PLEASE which of the following are maximum and minimum points of the function y=sin(x+pi)

Mathematics
1 answer:
Artemon [7]3 years ago
3 0
I am 80 percent sure it’s c
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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
Plz help I will mark you brainlist plz hellp​
Ilya [14]

Answer:Probability = 1/8.

Step-by-step explanation:

A number cube has six sides. Each side has a number from 1 to 6. This means that there are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5). Therefore:

P(number cube lands on an even number after roll) = Number of even numbers/Number of total numbers. = 3/6 = 1/2.

Since the cube has to be rolled three times, the probability will be multiplied 3 times (assuming that each roll in independent of each other). Therefore:

P(number cube lands on an even number 3 times after roll) = 1/2 * 1/2 * 1/2 = 1/8.

Therefore, the answer is 1/8!!!

6 0
3 years ago
Is y = 5x − 3 a linear function? If so, graph the function.
labwork [276]
It is
If you have a slope (which is before the x) then it’s a linear equation

7 0
3 years ago
Are my answers correct?
Snezhnost [94]

Answer:

20 is x ≥ 25

Step-by-step explanation:

In number 20 you put x is less than or equal to 25 ( x ≤ 25 )

It should be x is greater than or equal to 25 ( x ≥ 25 ) because it says it cannot be less than 25.

All your other answers are correct. Good job.

7 0
2 years ago
If x = 10, which lines are parallel? Check all that apply.
mart [117]

Answer:

c is parallel to d

Step-by-step explanation:

the degrees need to be equal in order for them to not intersect at any point, if you set x = 10 as given.

5 0
3 years ago
Read 2 more answers
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