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MrRissso [65]
3 years ago
5

A state park has a normally distributed daytime temperatures in the month of June. The mean temperature is 75 Fahrenheit and the

n standard deviation of 7. What is the probability the temperature is above 82F?
Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0

Answer:

0.16

Step-by-step explanation:

This probability is the area under the standard normal curve to the right of 82.  Note that 82 is ONE standard deviation above the mean:  75 + 7 = 82.

According to the Empirical Rule, 68% of data lies within one standard deviation of the mean.  In other words, 34% lies between the mean and one standard deviation above the mean.  The remaining area under the standard normal curve is thus (100% - 68%), or 32%.  Half of that is 16%.  

The probability that the temperature is above 82, or above 1 standard deviation above the mean, is 16%, which we can also express as 0.16.

Alternatively, use a calculator with built-in statistical functions.  In this case the desired result is found by executing the following command:

normcdf(82, 10000, 75, 7).  The desired result is 0.1587, or approximately 0.16.

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6

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Read 2 more answers
Efren leaves home at 9am and walks 4 miles per hour. His brother, gregory leaves half an hour later and runs 8.5 miles per hour
Sholpan [36]

Answer:

Gregory will catch up Efren after 26 minutes 40 seconds.

Explanation:

 Distance traveled = Speed x Time

 Speed of Efren = 4 mi/h

 Speed of Gregory = 8.5 mi/h

 Let the time of catch up be t hours.

 Time of journey of Efren before catch up = (t+0.5)hours, since he starts before half hour.

 Distance traveled by Efren = 4 x (t+0.5) miles

 Time of journey of Gregory before catch up = t hours.

 Distance traveled by Gregory = 8.5 x t miles

If they catch up the distance traveled by them is same, so equating both distances.

4 x (t+0.5) = 8.5 x t

4.5t = 2

t = 0.44 hours =26.67 minutes = 26 minutes 40 seconds.

So Gregory will catch up Efren after 26 minutes 40 seconds.

5 0
4 years ago
Zoe would like to be able to save for night courses at the local college. Which of these would be a good way for Zoe to make mor
nalin [4]

A. Spend 10 percent on clothing and 10 percent on entertainment

B. Spend 10 percent on entertainment and 20 percent on clothing

C. Spend 10 percent on rent and 10 percent on food

D. Spend 20 percent on food and 5 percent on gas.

Answer:

Spend 10% on clothing and 10% on entertainment

Step-by-step explanation:

Before answering this question, you need to know 2 types of expenses:

1. Fixed

2. Variable

Fixed expenses is the obligatory expenses which we do not have much control, and usually we have to pay in a certain amount of type. For example rent, student loan, grocery etc. In this case, the only fixed expenses is rent which you have to pay every month.

The other options: entertainment, clothing,food and gas are considered variable as it is not obligatory and you can choose how much you would spend.

Option C is not applicable since rent is a fixed expenses and can't be easily change.

Between A, B and C, A is the less amount of percentage compared the other.

7 0
3 years ago
What is the perimeter of the triangle shown below, if side a = 6 cm and side b = 8 cm?
Vika [28.1K]

Answer:

The answer is 24 cm.

Step-by-step explanation:

Since we know two sides, we can find the third side. Using the pythagorean theorm, a^2 + b^2 = c^2, this gives us:

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

Square root of 100 = c

10 = c.

Hope this helps!

8 0
2 years ago
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