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dalvyx [7]
2 years ago
10

Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
5 0

Answer:run:83.43 miles

Walk:39.11 miles

Step-by-step explanation:

There are 52.143 weeks in a year;

So each week she runs 1.6 miles=1.6*52.143=83.43 miles

Walks 0.75 miles=0.75*52.143=39.11 miles

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The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

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

By the Central Limit Theorem

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

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

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

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
How many zeros does the function y=x^2-8x-20 have
jenyasd209 [6]
The answer has 131;1 minutes
6 0
2 years ago
19.
dmitriy555 [2]

Answer:

293 feet per second

Step-by-step explanation:

1056000 feet per hour

1 hour = 60 minutes

1056000 divided by 60 = 17600 feet per minute

1 minute = 60 seconds

17600 divided by 60 = 293 feet per second

5 0
3 years ago
1
Kazeer [188]

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table

m = \frac{28-29}{0+4} = - \frac{1}{4}

The line crosses the y- axis at (0, 28 ) ⇒ c = 28

y = - \frac{1}{4} x + 28 ← equation of line → D

8 0
3 years ago
một xe ô tô chuyến trước chở được 3 tấn muối chuyến sau chở nhiều hơn chuyến trước 3 tạ hỏi cả hai chuyến xe đó chở được bao nhi
allochka39001 [22]

Answer:

?????

Step-by-step explanation:

4 0
2 years ago
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