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scoray [572]
2 years ago
14

Suppose that the distribution of touchdown passes (in football) is normally distributed with a mean of 250 feet and a standard d

eviation of 50 feet. We randomly sample 49 touchdowns.
What is the probability that the 49 touchdowns traveled an average of less than 245 feet? Please explain how you derived your answer.
Mathematics
1 answer:
Ahat [919]2 years ago
8 0

Answer: 0.2420

Step-by-step explanation:

Given: Mean : \mu = 250 \text{ feet}

Standard deviation : \sigma =50\text{ inch}

Sample size : n=49

The formula to calculate z is given by :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x= 245

z=\dfrac{245-250}{\dfrac{50}{\sqrt{49}}}=-0.7

The P Value =P(Z

Hence, the probability that the 49 touchdowns traveled an average of less than 245 feet= 0.2420

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Tyler wants to buy a new tub and that cost $312. He has already saved the plan to save $24 per week over the next few weeks whic
laila [671]

Answer:

13 weeks

Step-by-step explanation:

Given that :

Cost of new tub = $312

Planned saving per week = $24

The number of weeks he'll have to save in other to be able to afford the tub can be obtained using the relation :

Number of weeks = cost of new tub / weekly saving

Number of weeks = $312 / $24

Number of weeks = 13 weeks

5 0
2 years ago
William bought 114 juice boxes for his party. At the end of the party, he had 23 juice boxes left over. How many juice boxes did
slava [35]

Answer:

Number of juice boxes people drank at Williams party = 91

Step-by-step explanation:

Total juice boxes Williams bought = 114

Juice boxes left over at the party = 23

How many juice boxes did people drink at William's party?

Number of juice boxes people drank at Williams party = Total juice boxes Williams bought - Juice boxes left over at the party

= 114 - 23

= 91

Number of juice boxes people drank at Williams party = 91

8 0
2 years ago
Whih of the following is equivalent to (81m^6)^1/2
Setler [38]
Can you list the answer choices?

\sqrt{81m^6}   would be equivalent
4 0
2 years ago
Read 2 more answers
Aaron selected items totaling 48.75 at the farmerś market. he gave the farmer $60.00. She incorrectly gave him $12.25 in change.
Stolb23 [73]

Answer:

$11.25

Step-by-step explanation:

You give the farmer $60.00 and you subtract $48.75 = $11.25

Therefore the farmer gave you $1.00 more.

7 0
2 years ago
Which are two possible reasons for the change within the frog population?
marishachu [46]

The given sequence;–3.2, 4.8, –7.2, 10.8, is a geometric progression common ratio of -1.5.

<h3>What is a geometric series?</h3>

When all the terms of a geometric sequence are added, then that expression is called geometric series.

The given sequence ;

–3.2, 4.8, –7.2, 10.8, …

The common ratio

= -4.8/ 3.2

= - 1.5

The terms having a common ratio of -1.5 best describe the relationship between the successive terms in the sequence of the terms.

Learn more about geometric sequence here:

brainly.com/question/2735005

#SPJ1

7 0
1 year ago
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