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Mrac [35]
2 years ago
14

Pls help me i only have 5 minutes

Mathematics
1 answer:
V125BC [204]2 years ago
5 0

Give instructions about sound, lighting etc

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Tammy takes a taxi home from the airport. The fare is $2.10 per mile, and she gives the driver a tip of $5. Tammy pays a total o
DIA [1.3K]

Answer:

21 Miles. Hope your enjoying Middle School!

Step-by-step explanation:

3 0
3 years ago
The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm197.5 cm and a standard deviation
fiasKO [112]

Answer:

a) 5.37% probability that an individual distance is greater than 210.9 cm

b) 75.80% probability that the mean for 15 randomly selected distances is greater than 196.00 cm.

c) Because the underlying distribution is normal. We only have to verify the sample size if the underlying population is not normal.

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 question, we have that:

\mu = 197.5, \sigma = 8.3

a. Find the probability that an individual distance is greater than 210.9 cm

This is 1 subtracted by the pvalue of Z when X = 210.9. So

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

Z = \frac{210.9 - 197.5}{8.3}

Z = 1.61

Z = 1.61 has a pvalue of 0.9463.

1 - 0.9463 = 0.0537

5.37% probability that an individual distance is greater than 210.9 cm.

b. Find the probability that the mean for 15 randomly selected distances is greater than 196.00 cm.

Now n = 15, s = \frac{8.3}{\sqrt{15}} = 2.14

This probability is 1 subtracted by the pvalue of Z when X = 196. Then

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

By the Central Limit Theorem

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

Z = \frac{196 - 197.5}{2.14}

Z = -0.7

Z = -0.7 has a pvalue of 0.2420.

1 - 0.2420 = 0.7580

75.80% probability that the mean for 15 randomly selected distances is greater than 196.00 cm.

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The underlying distribution(overhead reach distances of adult females) is normal, which means that the sample size requirement(being at least 30) does not apply.

5 0
3 years ago
A mule dear can 1/4 of a mile in 25 seconds. At this rate, what expression can be used to determine how fast a mule deer runs in
Naddika [18.5K]
We have to find how many seconds are in one hour.
There are 60 seconds in one minute, with 60 minutes in every hour.
60×60=3600
Now, see how many 25 seconds are in 3600 seconds.
3600÷25= 144
Now, we can multiply 144 by 14 or .25 since we are trying to find per hour.
144×.25= 36
36h
H being the hours you're trying to find. It runs 36 miles per hour.
5 0
3 years ago
15. Jiovanni is looking in to two different companies that offer study guides for math exams.Test Prep 101 charges a $5 flat fee
timama [110]
.25p + 5 = .50p + 2

-.25p = -3

-p = -12

p= 12 problems
6 0
3 years ago
There are 1,200 people at the beach. If 88% of them went in the water, how many people DID NOT go in the water?
kiruha [24]

Answer:

144 people

Step-by-step explanation:

88% = 0.88

We multiply the total number with 0.88 to see how many people went in the water:

1200(0.88) = 1056

To find the number of those who did NOT go in the water, we subtract the product from the total number:

1200 - 1056 = 144

4 0
3 years ago
Read 2 more answers
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