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insens350 [35]
3 years ago
9

James is taking a test to be on a game show to win money. He has to answer 75 questions or more correctly in 3 rounds in order t

o be on the show. In the first round, he answered 80% of 50 questions correctly. In the second round, he answered 75% of 40 questions correctly, and in the third round, he answered 20% of 30 questions correctly. Did James win a spot on the game show? How many questions did James answer correctly? Explain the math steps you used to determine your answers.
Mathematics
1 answer:
Tresset [83]3 years ago
7 0

Answer:

Yes; James got 76 answers correct

Step-by-step explanation:

Round 1: 50 x 0.8 = 40

Round 2: 40 x 0.75 = 30

Round 3: 30 x 0.2 = 6

40 + 30 + 6 = 76

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A random sample of 20 items is selected from a population. When computing a confidence interval for the population mean, what nu
kumpel [21]

Answer:

For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

8 0
3 years ago
Solve the system,{3y=-x_11,x+4y=14
Llana [10]

your answer would be  (2,3)

7 0
3 years ago
Define supplementary angles
Alex17521 [72]

Answer:

angels that are 180 degrees

Step-by-step explanation:

8 0
3 years ago
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Need the answer to the question
Morgarella [4.7K]

Answer:

The graph is wider and is reflected across the x axis.

Step-by-step explanation:

See attached image.

5 0
2 years ago
How does h
Agata [3.3K]

Answer:

h(t) = 16t changes 16 units every t. in the interval t=7 to t=2,

if its asking for:

\int\limits^2_7 {16t} \, dt

then it's

16(2) - 16(7) = 32 - 112 = -80

4 0
3 years ago
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