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vfiekz [6]
3 years ago
15

one fourth of the 7th grade students made honor roll in the first quarter. the number of honor roll students increased by 18 in

the second quarter. If 105 students made honor roll in the second quarter. How many total 7th graders are there?
Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

1/4 of x students made the honor roll in the first quarter

1/4 of x plus 18 equals 105

1/4 x + 18 = 105

1/4 x + 18 - 18 = 105 - 18

1/4 x = 87

Reciprocal to isolate variable

4/1(1/4 x) = 87(4/1)

x = 348

There is a total of 348 students in 7th grade

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Serhud [2]

Answer:

$3

Step-by-step explanation:

Given data

Let the cost of drinks be x

and the cost of hotdogs be y

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divide both sides by 3

y= 4.5/3

y= $1.5

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8 0
3 years ago
The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o
Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

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

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

Approximately 95% of the measures are within 2 standard deviations of the mean.

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

In this problem, we have that:

Mean = 7010, standard deviation = 43.

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

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

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2 years ago
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Answer:

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