If 100 students make up 40% of the 6th grade population, then 50 students make up 20% of the 6th grade population. 20% × 5 makes 100% so if your multiply 50 by 5 you'd get your population.
50 × 5 = 250 sixth-graders

7 0

3 years ago

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Does (-15, -691) make the equation y = -51x - 74 true?<br><br><br>

dimulka [17.4K]

Well, we can input both variables to check and see if the numbers hold.

-691 = -51(-15) - 74

-691 = 765-64

-691 = 701

(-15, -691) does not make the equation true.

3 0

3 years ago

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First rewrite 8/25 and 7/20 so that they have a common denominator

Pie

Answer:

8/25 = 32/100
7/20 = 35/100

Step-by-step explanation:

25 and 20 have a least common multiple of 100, so that is your least common denominator.

8/25 = (8·4)/(25·4) = 32/100

7/20 = (7·5)/(20·5) = 35/100

6 0

2 years ago

Which expression represents the ratio of the difference of the two means to Sidney's mean absolute deviation

prohojiy [21]

Answer:

The ratio of the difference of the two means to Sidney's mean absolute deviation = $\frac{4}{3.28}$ = 1.2195

Step-by-step explanation:

P.S - The exact question is -

Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.

Sidney’s Grades Phil’s Grades

Mean 82 78

Mean Absolute Deviation 3.28 3.96

To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Proof -

Given that Mean of Sidney Grades = 82

Mean of Phil's Grades = 78

So,

The difference of two means = 82 - 78 = 4

Also,

Given, Mean Absolute Deviation of Sydney = 3.28

Now,

The ratio of the difference of the two means to Sidney's mean absolute deviation = $\frac{4}{3.28}$ = 1.2195

4 0

3 years ago