All categories

3 years ago

Decide whether or not the matrices are inverses of each other.

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

7 0

Answer:

Yes, the matrices are inverses of each other.

Step-by-step explanation:

Kindly check attached picture for the organized question and answer

You might be interested in

How many twelfths are there in 2/3 of 3/4 more than 1/3 of 3/8 ? I know the answer already, please show how you do it .

maksim [4K]

Ok so what this means is below:
$\frac{2}{3}* ( \frac{3}{4}+ \frac{1}{3} * \frac{3}{8} )$
Now we need to follow the rules of PEMDAS:
So inside the parentheses we need to do the multiplication first 1/3*3/8=1/8
Now we need to add 3/4 to this 1/8+3/4=7/8
Now do 2/3 of the value of the parenthesis 7/8
This is 14/24 = 7/12
Therefore there are 7 twelfths

7 0

3 years ago

A normal population has a mean of 19 and a standard deviation of 5.

dangina [55]

Answer:

a) $Z = 1.2$

b) 38.49% of the population is between 19 and 25.

c) 34.46% of the population is less than 17.

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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. If we need to find the probability that the measure is larger than X, it is 1 subtracted by this pvalue.

For this problem, we have that

A normal population has a mean of 19 and a standard deviation of 5, so $\mu = 19, \sigma = 5$ .

(a) Compute the z value associated with 25

This is Z when $X = 25$

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

$Z = \frac{25 - 19}{5}$

$Z = 1.2$

(b) What proportion of the population is between 19 and 25?

This is the pvalue of Z when $X = 25$ subtracted by the pvalue of Z when $X = 19$ .

X = 25 has $Z = 1.2$ , that has a pvalue of 0.8849.

X = 19 has $Z = 0$ , that has a pvalue of 0.5000.

So 0.8849-0.500 = 0.3849 = 38.49% of the population is between 19 and 25.

(c) What proportion of the population is less than 17?

This is the pvalue of Z when $X = 17$

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

$Z = \frac{17 - 19}{5}$

$Z = -0.40$

$Z = -0.40$ has a pvalue of 0.3446.

This means that 34.46% of the population is less than 17.

7 0

3 years ago

The floor of Aisha’s rectangular bedroom has an area of 144. Which are possible dimensions of her bedroom? Check all that apply.

jeka57 [31]

14.4 by 10, 8x18, 9x16 and 12x12

4 0

3 years ago

Read 2 more answers

List combinations of three (length, width, and depth) that would give a volume of 1,536 cubic feet.

mel-nik [20]

Answer:

Step-by-step explanation:

6 0

3 years ago

Y=-2/3x+2 how to graph

Nikolay [14]

Step-by-step explanation:

Starting from y-intercept of [0, 2], you can either move two blocks north over 3 blocks west or two blocks south over three blocks east. Either way, you will still get this line because this is a negative rate of change [slope].

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**I have a video that explains something like this. It is titled "Finding Slopes, y-intercepts, Perpendicular Equations, and Parallel Equations". I encourage you to watch the video and gain alot more knowledge from it, so you can better understand the concepts.

6 0

3 years ago