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stira [4]
1 year ago
6

4 + 2(x + 6)2 for x = -3.

Mathematics
1 answer:
lina2011 [118]1 year ago
3 0

Step-by-step explanation:

4+2(x+6)²

4+2(-3+6)²

4+2(3)²

4+2(9)

4+18

22

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The amount of cereal dispensed into "12-ounce" boxes of Captain Crisp cereal is normally distributed with mean 12.09 ounces and
wolverine [178]

Answer:

There is a 22.66% probability that the amount dispensed into a box is less than 12 ounces.

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.

In this problem:

The amount of cereal dispensed into "12-ounce" boxes of Captain Crisp cereal is normally distributed with mean 12.09 ounces and standard deviation 0.12 ounces, so \mu = 12.09, \sigma = 0.12.

That is, what is the probability that the amount dispensed into a box is less than 12 ounces?

This is the pvalue of Z when X = 12.

So:

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

Z = \frac{12 - 12.09}{0.12}

Z = -0.75

Z = -0.75 has a pvalue of 0.2266.

This means that there is a 22.66% probability that the amount dispensed into a box is less than 12 ounces.

7 0
4 years ago
To calculate the length of the hypotenuse in this triangle, the formula we would use is:
Flauer [41]

Answer:

it is b !!

Step-by-step explanation:

a^2 + b^2 = c^2 :)

5 0
3 years ago
A class has $140 for tickets to a science museum. The teacher writes $140÷10=14. Alma says that tickets are $14 each. Mohamed sa
DanielleElmas [232]

Alma was definitely correct to say that the tickets are $14 each.

The total amount in dollars the class have for tickets to the science museum

is $140.

The teacher writes as follows:

  • 140 ÷ 10 = 14

Alma says the tickets are $14 each.

Mohammed says that 14 students are going for the trip

The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.

The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.

Therefore, Alma was definitely correct.

learn more about algebra here:  brainly.com/question/11455464?referrer=searchResults

7 0
3 years ago
312 Algebra 1 - 4th Nine Weeks
cestrela7 [59]

Answer:

6x(x+3)(x-2)=6x^3+6x^2-36x

3(x-2)(x +9)=3x^2+21x-54

Step-by-step explanation:

6 0
3 years ago
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The number 2.31 is 2,200 times greater than 1.05 . Find the correct value of x and y.
zalisa [80]
Where can we see x and y in the question! This problem cannot be solved!
8 0
4 years ago
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