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1011
For questions 6-8, determine the number of solutions.
Type your answers as one, none, or many (no capital letters)
6
4(x + 5) - 2 = 18 + 4x

Answers

Answer 1
Answer: the answer to that would be many

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The percent of fat calories that a person consumes each day is normally distributed with a mean of 35 and a standard deviation of 10. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. (a) For the group of 16 individuals, find the probability that the average percent of fat calories consumed is more than thirty-seven. (Round your answer to four decimal places.) b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories

Answers

Answer:

a) 0.2119 = 21.19% probability that the average percent of fat calories consumed is more than thirty-seven.

b) The first quartile for the average percent of fat calories is 33.31

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

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

Z = (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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = (\sigma)/(√(n))

In this problem, we have that:

\mu = 35, \sigma = 10, n = 16, s = (10)/(√(16)) = 2.5

(a) For the group of 16 individuals, find the probability that the average percent of fat calories consumed is more than thirty-seven. (Round your answer to four decimal places.)

This is the 1 subtracted by the pvalue of Z when X = 37. So

Z = (X - \mu)/(\sigma)

By the Central Limit Theorem

Z = (X - \mu)/(s)

Z = (37 - 35)/(2.5)

Z = 0.8

Z = 0.8 has a pvalue of 0.7881

1 - 0.7881 = 0.2119

0.2119 = 21.19% probability that the average percent of fat calories consumed is more than thirty-seven.

b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories

The 1st quartile is the 25th percentile. So this is the value of X when Z has a pvalue of 0.25. So it is X when Z = -0.675. So

Z = (X - \mu)/(s)

-0.675 = (X - 35)/(2.5)

X - 35 = -0.675*2.5

X = 33.31

The first quartile for the average percent of fat calories is 33.31

Hello, could someone please help me with this

Answers

Answer:

27.825

Step-by-step explanation:

Sure!

To turn a fraction into a decimal you simply divide 33 by 40. The whole number - 27 - can stay.

27 33/40 = 27 + (33/40)

= 27 + 0.825

= 27.825

Mark brainliest if possible, have a nice day!

Which Number Is Rational?

Answers

Answer:

A. 0.333...

Step-by-step explanation:

Any repeating decimal can be written as a ratio of two integers, hence is rational. 0.333... = 1/3

The last offering appears to be a non-repeating infinite-length decimal, hence is irrational.

Of course π is irrational, as is the square root of any integer that is not the square of an integer.

If A= pi/6 then what is B?

Answers

\bf \textit{the graph starts at }0\textit{ and goes to }\pi \n\nA=(\pi )/(6)\textit{ now, B is away from }\pi \textit{ 1A}\n\n\textit{since A and B have a same y-value,}\n\textit{and the graph is symmetric, thus}\n\nB=\pi -(\pi )/(6)
the other person is correct

In the 2020 Super Bowl, San Francisco lost by 11 points. Develop a playbook for the team to use to win the game if there were 5 minutes on the clock.

Answers

Answer:

do better and kick butt ( lol) srry not helpful but just what I thought

Step-by-step explanation:

Evaluate the expression 9x - 5 for the values of x given in the first column.Value of x Value of expression
5
4
129
6
7

Answers

Answer:

Step-by-step explanation:

Expression : 9x - 5

To fill the table using the expression, you have to replace each value with x and solve the expression.

The answer is attached to the picture.

Answer:

Step-by-step explanation:

To fill the table using the expression

you have to replace each value with x and solve the expression
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