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Nimfa-mama [501]
3 years ago
14

Kate sets a goal to walk 3 miles every day for a year. How many miles more or less than 1,000 miles will she walk in the year?

Mathematics
2 answers:
blsea [12.9K]3 years ago
8 0

Kate will walk 95 more than 1000 miles in a year the math would be 365x3=1095

Wittaler [7]3 years ago
5 0

The total amount if miles she will walk in a year is 1095 miles, which is 95 mile over her goal.

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The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4. Suppose 64 golfers play
Vilka [71]

Answer:

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

Step-by-step explanation:

To solve this question, we need 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 75, \sigma = 4, n = 64, s = \frac{4}{\sqrt{64}} = 0.5

Find the probability that the average score of the 64 golfers exceeded 76.

This is 1 subtracted by the pvalue of Z when X = 64.

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

By the Central Limit Theorem

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

Z = \frac{76 - 75}{0.5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

6 0
3 years ago
Polygon ABCD is dilated, rotated, and translated to form polygon A′B′C′D′. The endpoints of are at (0, -7) and (8, 8), and the e
Alinara [238K]

Answer:

1/2

Step-by-step explanation:

Plato. just had it

5 0
3 years ago
Read 2 more answers
Solve : <br> 20-9x=11<br> 4(2x+1)=8<br> 5(2x+5)=-15<br> 3(8x+1)=-21
laila [671]
<span>20-9x=11
-9x=11-20
-9x= -9
x= -9/(-9)
x=1


4(2x+1)=8
2x+1=8/4
2x+1=2
2x=2-1
2x=1
x=1/2
x=0.5


5(2x+5)=-15
2x+5= -15/5
2x+5= -3
2x= -3-5
2x= -8
x= -8/2
x=-4

3(8x+1)=-21
8x+1= -21/3
8x+1= -7
8x= -7-1
8x =-8
x= -8/8
x= -1
</span>
4 0
3 years ago
ASAP HELP ME plz wit this
Lina20 [59]

Answer:

Step-by-step explanation:What??

5 0
2 years ago
I need help with my math homework x+23=9/10
BartSMP [9]

Answer:

-221/10

Step-by-step explanation:

In the attached file

8 0
3 years ago
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