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Firlakuza [10]
3 years ago
14

Can you help me please I need it and this graduate

Mathematics
1 answer:
yanalaym [24]3 years ago
8 0
Here is how to work the problems and write the expressions.

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A is a 4x4 matrix and A^2 + 4A - 5I = 0. If det(A+2I)>0, enter det(A+2I)
maw [93]
\mathbf A^2+4\mathbf A-5\mathbf I=0
\implies\mathbf A^2+4\mathbf A+4\mathbf I=(\mathbf A+2\mathbf I)^2=9\mathbf I
\implies\det\bigg((\mathbf A+2\mathbf I)^2\bigg)=\det(9\mathbf I)
\implies\det(\mathbf A+2\mathbf I)^2=9^4\det\mathbf I
\implies\det(\mathbf A+2\mathbf I)=\pm\sqrt{9^4}
\implies\det(\mathbf A+2\mathbf I)=9^2=81

where we take the positive root because we're told that the determinant is positive.
5 0
2 years ago
A group of high school athletes has an average GPA of 2.7 with a standard deviation of 0.9. a)Find the percentage of athletes wh
mart [117]

Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

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

Z = \frac{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.

In this problem, we have that:

\mu = 2.7, \sigma = 0.9

a)Find the percentage of athletes whose GPA more than 1.665.

This is 1 subtracted by the pvalue of Z when X = 1.665. So

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

Z = \frac{1.665 - 2.7}{0.9}

Z = -1.15

Z = -1.15 has a pvalue of 0.1251

1 - 0.1251 = 0.8749

The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.

His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.

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

1.05 = \frac{X - 2.7}{0.9}

X - 2.7 = 1.05*0.9

X = 3.645

John's GPA is 3.645.

8 0
3 years ago
3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to p
monitta

Answer:

25 degrees

Step-by-step explanation:

3 0
3 years ago
Using base ten blocks subtraction
GREYUIT [131]
Is their any multiple questions

4 0
3 years ago
A poll shows that 41% of voters in a city favor of a $0.01 tax increase. If 25 voters are selected at random, what is the probab
DanielleElmas [232]

Answer:

2.6% (Approx)

Step-by-step explanation:

Given:

Number of favor voter = 41% = 0.41

Random selected voters = 25

Exact favor voter = 15

Find:

Probability that exactly 15  will in favor.

Computation:

Number of non-favor voter = 1 - 0.41 = 0.59

Given question is a combination problem.

⇒ ²⁵C₁₅ × 0.41¹⁵ × 0.59¹⁰ =  

⇒ 0.02598130

= 2.6% (Approx)

8 0
3 years ago
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