# Consider the matrix shown below:

A

Step-by-step explanation:

P^T is transpote matrix. So the rows of matrix P you write like columns in P^T.

So we have first row: 2, 5, it will be firsl column

2nd row: 8,1 will be 2nd column.

It is matrix:

2 8

5 1

This is matrix a)

## Related Questions

WRITE A LINEAR EQUATION FOR THE TABLE BELOW. A) WHAT IS THE Y-INTERCEPT OF THIS TABLE? WHAT PATTERN IN

B) WHATS THE SLOPE OF THIS TABLE? USE THE SLOPE FORMULA.

C) WHAT IS THE EQUATION OF THIS TABLE? USE YOUR SLOPE (M) AND Y-INTERCEPT (B) TO WRITE THE EQUATION IN Y=MX+B FORM.

WHERE IS THE TABLES HM???

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

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 and standard deviation , the zscore of a measure X is given by:

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 and standard deviation , a large sample size can be approximated to a normal distribution with mean and standard deviation

In this problem, we have that:

(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

By the Central Limit Theorem

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

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

6. Find the value of the expression.
40 = 8 x 9

72

Step-by-step explanation:

72 I KNOW THIS bye thanks

the cell wall of which out of this is not made up of cellulose bacteria mango tree hydrilla cactus which one is correct​

The cell wall lies outside the plasma membrane. The plant cell wall is mainly composed of cellulose. Cellulose is a complex substance and provides structural strength to plants. Bacteria is not a plant therefore its cell wall is made up of peptidoglycan

Step-by-step explanation:

Hello! If you're seeing this, good luck with your schoolwork and have a nice day!

- Classmate

Step-by-step explanation:

In order to calculate f(3) you need to substitute 3 for x in function

f(x)=3x +1 :

f(3)=( 3x3) + 1

f(3)= 9+1

f(3)=10

oint Q is plotted on the coordinate grid. Point P is at (40, −20). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q? (5 points) On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 10, negative 20. Group of answer choices Point R is at (−10, −10), a distance of 30 units from point Q Point R is at (−10, −30), a distance of 50 units from point Q Point R is at (−10, 30), a distance of 50 units from point Q Point R is at (−10, 10), a distance of 30 units from point Q

The Awnser Is C

Step-by-step explanation:

Hope This Helps! Have A Great Day