Answer:
The answer to your question is the letter a
Step-by-step explanation:
| 1 4 -1 | | 2 -1 |
| 3 2 2 | | 0 3 | Product = 2 x 3 and 3 x 2 = 2 x 2
| 5 2 | It is possible to do this product,
the result will be a 2 x 2 matrix
Process
1.- Multiply first row by first column and second row by second column.
2.- Multiply the second row by the first column and second row by the second column.
= (1 x 2) + (4 x 0) + (-1 x 5) = 2 + 0 - 5 = -3
= (1 x -1) + (4 x 3) + (-1 x 2) = -1 + 12 - 2 = 9
= (3 x 2) + (2 x 0) + (2 x 5) = 6 + 0 + 10 = 16
= (3 x -1) + (2 x 3) + (2 x 2) = -3 + 6 + 4 = 7
Result
| 3 9 |
| 16 7 |
For this case by similarity of triangles we can use the following relationship:
(x) / (11) = (2) / (10)
We clear the value of x:
x = ((2) / (10)) * (11)
Rewriting:
x = ((1) / (5)) * (11)
x = 2.2
Equivalently:
x = 22/10
x = 11/5
Answer:
The value of x is:
x = 2.2
Equivalently:
x = 11/5
Answer:
The critical value for this hypothesis test is 6.571.
Step-by-step explanation:
In this case the professor wants to determine whether the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes.
Then the variance will be, 
The hypothesis to determine whether the population variance is less than 25.0 minutes or not, is:
<em>H</em>₀: The population variance is not less than 25.0 minutes, i.e. <em>σ²</em> = 25.
<em>Hₐ</em>: The population variance is less than 25.0 minutes, i.e. <em>σ²</em> < 25.
The test statistics is:
The decision rule is:
If the calculated value of the test statistic is less than the critical value, 
then the null hypothesis will be rejected.
Compute the critical value as follows:
*Use a chi-square table.
Thus, the critical value for this hypothesis test is 6.571.
Since the triangles are similar, the ratio of each side in one triangle to
the corresponding side in the other one is always the same number.
We know what one pair of sides is ... 3.5 and 7 ... so we know that
each side in the first triangle is 1/2 as long as the corresponding side
in the other one.
So we can say with assurance that ...
y = 1/2 (x + 4)
and
x = 1/2 (3y) .
That's all the intelligence required for this problem. The rest is just algebra,
and I should not need to go through all the routine misery for you here.
When you solve this pair of equations slowly, carefully, and accurately,
you'll find that the sides of the triangles are ...
3.5, 8, 12
and
7, 16, 24 .
