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3 years ago

Let B = −1 1 −3

Mathematics

1 answer:

Sindrei [870]3 years ago

5 0

Answer:

Remember that in the transpose matrix of the matrix A, the entry $a_{ij}$ of A will be the entry $a_{ji}$ of $A^T$ .

Then if

$B=\left[\begin{array}{ccc}-1&1&-3\\0&2&3\end{array}\right]$ , $B^T=\left[\begin{array}{ccc}-1&0\\1&2\\-3&3\end{array}\right]$

Then

$B^TB=\left[\begin{array}{ccc}1&-1&3\\-1&5&3\\3&3&18\end{array}\right]$

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Orange M&M’s: The M&M’s web site says that 20% of milk chocolate M&M’s are orange. Let’s assume this is true and set

SOVA2 [1]

Answer:

The correct option is (A).

Step-by-step explanation:

Let X = number of orange milk chocolate M&M’s.

The proportion of orange milk chocolate M&M’s is, p = 0.20.

The number of candies in a small bag of milk chocolate M&M’s is, n = 55.

The event of an milk chocolate M&M being orange is independent of the other candies.

The random variable X follows a Binomial distribution with parameter n = 55 and p = 0.20.

The expected value of a Binomial random variable is:

$E(X)=np$

Compute the expected number of orange milk chocolate M&M’s in a bag of 55 candies as follows:

$E(X)=np$

$=55\times 0.20\\=11$

It is provided that in a randomly selected bag of milk chocolate M&M's there were 14 orange ones, i.e. the proportion of orange milk chocolate M&M's in a random bag was 25.5%.

This proportion is not surprising.

This is because the average number of orange milk chocolate M&M’s in a bag of 55 candies is expected to be 11. So, if a bag has 14 orange milk chocolate M&M’s it is not unusual at all.

All unusual events have a very low probability, i.e. less than 0.05.

Compute the probability of P (X ≥ 14) as follows:

$P(X\geq 14)=\sum\limits^{55}_{x=14}{{55\choose x}0.20^{x}(1-0.20)^{55-x}}$

$=0.1968$

The probability of having 14 or more orange candies in a bag of milk chocolate M&M’s is 0.1968.

This probability is quite larger than 0.05.

Thus, the correct option is (A).

4 0

3 years ago

If f(x) = −4x 2 + 15, then f(−3)

xxTIMURxx [149]

Answer:

-21

Step-by-step explanation:

f(-3) = -4(-3)² + 15 = -4(9) + 15 = -36 + 15 = -21

8 0

3 years ago

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What is the surface area of a square pyraimd that is 5.95cm long and 5.1 cm wide

nydimaria [60]

I believe that the answer to this question is 30.345 cm

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3 years ago

Which the most accurate statement about progress monitoring?

swat32

The most accurate statement about progress monitoring is progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in. Option A

<h3>What is progress monitoring?</h3>

Progress monitoring can be defined as a standard process of evaluating or checking progress toward a performance target on the basis of level of improvement from frequent assessment of a skill.

Thus, the most accurate statement about progress monitoring is progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in. Option A

Learn more about progress monitoring here:

brainly.com/question/2763918

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7 0

2 years ago

If y varies directly as x, and y = 25 when x = 5, find y when x = 25.

zimovet [89]

A.125
Because to get from 5 to 25 you need to multiply by 5 so 25 times five equals 125

6 0

3 years ago