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asambeis [7]
3 years ago
9

In a + b, if b is divisible by n, is a + b divisible by n?

Mathematics
1 answer:
levacccp [35]3 years ago
3 0

Answer:

Step-by-step explanation:

I think the answer should be no because only b is divisible by n not a

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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
Solving for h 7a=10-2h
kiruha [24]
7a=10-2h\ \ \ \ |Subtract\ 10\\\\
7a-10=-2h\ \ \ \ |Divide\ by\ -2\\\\
h=-\frac{7}{2}a+5\\\\h=-3\frac{1}{2}a+5\\\\Solution\ is\ h=-3\frac{1}{2}a+5.
5 0
3 years ago
Read 2 more answers
Financial advisors counsel young people to start saving early for their retirement. Explain why an early start is important.
Inessa05 [86]

Answer:

The more money you invest and the earlier you start means your retirement savings will have that much more time and potential to grow and investing early you can be able to take advantage of compound earnings.

Step-by-step explanation:

5 0
3 years ago
Triangle ABC has side lengths 10, 14, and 26. Do the side lengths form a Pythagorean triple? Explain.
uysha [10]
By <span>Pythagorean triple
a²+b²=c²,
c should be longest side
10²+14²=26²
100+196=676
296</span>≠676
so sides do not form  Pythagorean triple, it is not a right triangle

5 0
3 years ago
humans usually have 20 baby teeth, which are replaced by 32 adult teeth. Raúl said he has lost 6/20 of his baby teeth. write two
erica [24]
6/20 = 3/10 = 12/40

I got 3/20 by dividing 6/20 by 2/2 and 12/40 by multiplying 6/20 by 2/2. You can make fractions <span>equivalent</span> by multiplying the numerator and denominator by the same number
7 0
3 years ago
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