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kondor19780726 [428]
2 years ago
12

Q. If A is a square matrix such that A² = A, then write the value of 7 A −(I + A)³, where I is an identity matrix.​

Mathematics
1 answer:
andriy [413]2 years ago
6 0

Answer:

7A−(I + A)³

=7A−(1³ + A³ +3.I.A² +3.1².A)

=7A−(I+ A².A+3A² +34)

= 7A-(I+A.A+3A+34) (*: A² = A)

=7A-(I+ A² +6A)

= 7A-(I+A+64)

=7A-(1+7A)

=7A-I-7A

=-1

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450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (
umka21 [38]

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

The margin of error is of:

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that \sigma = 0.21

Sample of 450:

This means that n = 450

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

M = z\frac{\sigma}{\sqrt{n}}

M = 1.037\frac{0.21}{\sqrt{450}}

M = 0.01

The margin of error is of 0.01.

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3 years ago
If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)?
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3 years ago
SOMONE HELP ME I HAVE <br> TO DO THIS AFTER SCHOOL PLS ASAP!!!
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5 2.5 is the slope

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Step-by-step explanation:

1 no because the y overlaps

2 not sure

3 it over laps

4 it never overlaps

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Step-by-step explanation:

5 0
3 years ago
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Factorization of:
zubka84 [21]

Answer:

Step-by-step explanation:

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75: 3 * 5 * 5

168: 2 * 2* 2 * 3 * 7

It's not really multiplication. It's more division.

Try 2800 as a sample. What you are trying to do is break this down into primes. The first prime is 2

2800/2 = 1400

1400 / 2 = 700

700 / 2 = 350

350 / 2 = 175. That's the end of what the 2s can do.

175 / 5 = 35

35/ 5 = 7 7 is a prime. You are done. Now run up the ladder.

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75 is not an even number. It has no 2s. Go to 3

75 / 3 = 25.

25 / 5 = 5

That's the end

75: 3 * 5 * 5

Your calculator can be of great help. The rule is keep factoring until you get a decimal remainder. Move on to the next prime. Stop when the last division gives you a prime.

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