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2 years ago

What is the surface area of this right prism?

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

5 0

Answer:

Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by

surface area of prism = 2 * area of base + perimeter of base * H

So for the rectangular prism in your example..

surface area = 2LW + 2(L+W)H

= 2 * 7 * 4 + 2*(7+4)*5

= 56 + 2 * 11 * 5

= 56 +110

= 166 sq cm

Hope this helps

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in the ambrose family the ages of the three children are three consecutive even integers . if the age of the youngest child is r

klemol [59]

The ages are consecutive even numbers.
The youngest child is (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are

   (x + 3), (x + 5), and (x + 7).

Their sum is x+3 + x+5 + x+7 = 3x + 15

But we're told that their sum is 42, so we can write

      3x + 15 = 42 <== the equation

Subtract 15 from each side: 3x   = 27

Divide each side by 3 : x   =   9 <== the solution

So the three ages are 12, 14, and 16.

The oldest child is 16 years old.

3 0

3 years ago

Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distribut

defon

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $39725 and standard deviation $7320.

This means that $\mu = 39725, \sigma = 7320$

Sample of 125:

This means that $n = 125, s = \frac{7320}{\sqrt{125}} = 654.72$

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{39000 - 39725}{654.72}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335

1 - 0.1335 = 0.8665

0.8665 = 86.65% probability that the sample mean would be at least $39000

4 0

2 years ago

Write an equation in slope-intercept form for the line perpendicular to y=-3x + 9 that passes through the point (9,9)

son4ous [18]

Answer:

-8

Step-by-step explanation:

8 0

2 years ago

What is the degree measure of

Setler [38]

Why u ask me jk hold on

4 0

3 years ago

Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses 1/3 c

True [87]

So we know there are 12 eggs and they will be distributed like this:

12=x2+y1
and 4 cups of flour:
4=1/3x+1/2y

let's see if we can find a solution in which all the materials are used:
12=x2+y1
4=1/3x+1/2y//*6

12=2x+y
24=2x+3y//*6

substract from each other:
12=2y
y=2
12=2x+y
12=2x+2
10=2x
x=5

So if nothing is wasted, he can make 5 blueberry muffins (making 12*5=60) and 2 bran muffins (2*9=18), together 78 dollars,

would it be better if instead of the bran muffins he did blueberry muffins (which are more expensive?)
for the branberry muffins he will used the double amount needed for 1: so 1 cup of oil and 2 eggs. From this he can only make 1 tray of blueberry muffins (and some oil will be left over), which will cost 12 dollars, which is less than 18

so he better make 6 blueberry and 2 bran trays

6 0

2 years ago