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diamong [38]
3 years ago
13

When 40% of a number is added to the number and the result is 126 , what is the number ?

Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

p\%=\dfrac{p}{100}\\\\40\%=\dfrac{40}{100}=\dfrc{4}{10}=0.4\\\\n-a\ number\\\\40\%\ of\ a\ number\to0.4n\\\\The\ equation:\\\\n+0.4n=126\\\\1.4n=126\qquad\text{divide both sides by 1.6}\\\\\boxed{n=90}\\\\Answer:\ The\ number\ is\ equal\ 90.

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Meaghan and Lily are dividing 43.61 by 7. Meaghan says that the first digit of the quotient is in the ones place. Lily says it i
Ivahew [28]

Answer: Meaghan is right.

Step-by-step explanation:

For a number like:

123.45

the tens place would be the "2" (second number at the left of the decimal point)

The ones place would be the "3" (first number at the left of the decimal point)

Let's suppose that Lily is correct.

Then the quotient of:

43.61/7

Will be a number with two digits in the left of the decimal point.

The smallest number that meets this condition, is the number 10.

Then let's see:

7*10 = 70

then:

70/7 = 10

and:

43.61 < 70

(70 is larger than 43.61)

then:

43.61/7 < 70/7 = 10

Then:

(43.61/7) < 10

This means that our quotient is smaller than 10, then the first digit of the quotient can not be on the tens place.

Then Meaghan is the correct one.

We also could perform the quotient to find:

43.61/7 = 6.23

So yes, Meaghan is correct.

5 0
2 years ago
The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of
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Answer:

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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 = 266

Standard deviation = 16

What percentage of pregnancies last between 250 and 282 days?

250 = 266 - 16

250 is one standard deviation below the mean

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282 is one standard deviation above the mean

By the Empirical Rule, 68% of pregnancies last between 250 and 282 days

4 0
3 years ago
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nadezda [96]
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3 years ago
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