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kupik [55]
3 years ago
10

Then, the dot ran from −66 to −17. What distance did it cover? If this run took the dot 7 minutes, what was its average speed?

Mathematics
1 answer:
stich3 [128]3 years ago
6 0

ANSWER

The average speed is 7m/s.

EXPLANATION

If the dot ran from -66 to -17, then the distance covered is

| - 17 -  - 66|  = 49

The average speed

=  \frac{distance \: covered}{time \: taken}

Substitute

=  \frac{49}{7}

Simplify;

= 7m {s}^{ - 1}

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The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit
Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b) We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean \mu, standard deviation \sigma

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b. If the length of pregnancy is in the lowest a​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

8 0
3 years ago
Which expression does not factor?<br><br> m3 + 1<br> m3 – 1<br><br> m2 + 1<br><br> m2 – 1
Luda [366]

Answer:

m^2 +1

Explanation:

All the other expressions can be factorized. Let's see why:

1) m^3 +1

This is the sum of the cubes, and this can be factorized as follows:

a^3+b^3=(a+b)(a^2-ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3+1=(m+1)(m^2-m+1)

2) m^3-1

This is the difference between two cubes, and this can be factorized as follows:

a^3-b^3=(a-b)(a^2+ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3-1=(m-1)(m^2+m+1)

3) m^2-1

This is the difference between two square numbers, and it can be factorized as follows

(a^2-b^2)=(a+b)(a-b)

In this case, a=m and b=1, so we can factorize as

m^2-1=(m+1)(m-1)

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