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bija089 [108]
3 years ago
10

Super hero academy's ratio of boys to girls is 5:3. If 7th grade has 150,

Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

Answer:

94  boys and 56 girls.

Step-by-step explanation:

150/8 = 18.75 = x

b=x*5 = 94

g=x*3 = 56

b+g=150

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The number of potholes in any given 1-mile stretch of freeway pavement in Pennsylvania has a Normal distribution. This distribut
Iteru [2.4K]

Answer:

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 49

Standard deviation = 9

Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 58?

22 = 49 - 3*9

So 22 is three standard deviations below the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above the mean.

Of those 50% which are below the mean, 99.7% of those are within 3 standard deviations of the mean, that is, greater than 22.

58 = 49 + 9

So 58 is one standard deviation of the mean.

Of those which are above the mean, 68% are within 1 standard deviation of the mean, that is, lesser than 58.

Then

0.997*0.5 + 0.68*0.5 = 0.8385 = 83.85%

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

5 0
3 years ago
Greer company pays jamal perry a salary of $2,200 per week. how much fica tax must greer pay on jamal's behalf, including both t
ludmilkaskok [199]
The fica tax rate from employer will be 7.65 % of the salary.

= 7.65 % x $ 2,200 

= $ 168.3 

Multiply it by 52 if you want yearly number
4 0
3 years ago
Justin wants his new treehouse to blend in with the leaves, so he decides to paint it green. He mixes some white paint and green
spayn [35]

Answer:

  • C. neither. the roof and walls are the same shade of green

Step-by-step explanation:

<u>The first batch:</u>

  • Some white and some green

<u>The second batch:</u>

  • Triple amount of white and triple amount of green

As we see the ratio of white to green has not changed

Therefore there won't be any difference in painting

Correct answer choice is C.

8 0
3 years ago
Least to greatest again? I can't visualize this one.. -11/5, -2.4, 1.6, 15/10, -2.25 Thanks
Tcecarenko [31]

Answer:

Hey again! Just remember about the number lines. If it's easier, you can use a calculator to divide the fractions to make them easier to visualize in decimal form.

The answer to this one is:

-2.4

-2.25

-11/5 (which is -2.2)

-15/10 (1.5)

-1.6

6 0
3 years ago
The answer to B and C
ArbitrLikvidat [17]
Assuming that the triangles are congruent, you can just look at the parts on each triangle to find the parts on the other triangle. The answers are yes, yes, and no. The triangles are obviously not drawn to scale, so just remember to never rely on it being so.
3 0
3 years ago
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