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nevsk [136]
3 years ago
9

Urgent please

Mathematics
2 answers:
svetoff [14.1K]3 years ago
5 0

Ratio of boys to girls in class

3 : 5 40

Boys + giris 3 + 5 = 8 Total 40

Unit of ratio - 40/8 = 5

Boys = 5 * 3 = 15 Girls = 5 * 5 = 25 Total 40

Add 3 new girls Girls 25 + 3 = 28

Minus 1 boy Boys 15 - 1 = 14

New ratio boys to girls is 14 : 28

Simplify 14/28 = 1/2

New simplified ratio of boys to girls is 1 : 2


Natasha2012 [34]3 years ago
4 0

Boys : Girls = 3 : 5


3 + 5 = 8 parts


<u>Find 1 part:</u>

8 parts = 40 students

1 part = 40 ÷ 8 = 5 students


<u>Find number of boys and girls:</u>

3 parts = 3 x 5 = 15 girls

5 parts = 5 x 5 = 25 boys


Original Number of students = 15 : 25


<u>Find new ratio:</u>

New Ratio = 15 + 3 : 25 - 1 = 18 : 24 = 3 : 4


Answer: 3 : 4

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Step-by-step explanation:

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Find the slope of a line that goes between points (2, 4) and (5, 7).
yawa3891 [41]

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3 years ago
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3 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.725.72 millimeters and a standard de
suter [353]

Answer:

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

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}

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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 5.72, \sigma = 0.07

Top 5%:

X when Z has a pvalue of 0.95. So X when Z = 1.645

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

1.645 = \frac{X - 5.72}{0.07}

X - 5.72 = 1.645*0.07

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Bottom 5%:

X when Z has a pvalue of 0.05. So X when Z = -1.645

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

-1.645 = \frac{X - 5.72}{0.07}

X - 5.72 = -1.645*0.07

X = 5.60

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

7 0
3 years ago
Read 2 more answers
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