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-BARSIC- [3]
3 years ago
8

Kyle spent more than 37 minutes swimming last night. Which of the following amounts of time could Kyle have been swimming? Selec

t two that apply.
A
2050 seconds

B
2150 seconds

C
2250 seconds

D
2350 seconds
Mathematics
1 answer:
Komok [63]3 years ago
7 0

Answer:

2,350 seconds.

Step-by-step explanation:

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Find the volume of the pyramid below.
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≈283.33333

Step-by-step explanation:

V=lwh/3

10 · 10 · 8.5 /3

<h2>≈283.33333</h2>
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Find the quotient of 2/7 and 3/5
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The quotient of 2/7 is 2 ÷ 7 = 0.285714
And 3/5 is 3 ÷ 5 = 0.6
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Find the value of b+16 when b=7
Greeley [361]

Replace b with 7 in the binomial and simplify.


b + 16


Let b = 7


7 + 16 = 23


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3 years ago
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Refrigerators in a random sample of 60 refrigerators, the mean repair cost was $150.00 and the standard deviation was $15.50. Co
worty [1.4K]

Answer:

The 99% confidence interval is given by ($144.677;$155.323)  

We are confidenct at 99% that the true mean for the reapir cost of refrigerators is between 144.677 and 155.323.

Step-by-step explanation:

1) Notation and definitions  

n=60 represent the sample size  

\bar X= 150 represent the sample mean  

s=15.5 represent the sample standard deviation  

m represent the margin of error  

Confidence =99% or 0.99

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".  

2) Calculate the critical value tc  

In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. The degrees of freedom are given by:  

df=n-1=60-1=59  

We can find the critical values in excel using the following formulas:  

"=T.INV(0.005,59)" for t_{\alpha/2}=-2.66  

"=T.INV(1-0.005,59)" for t_{1-\alpha/2}=2.66  

The critical value tc=\pm 2.66  

3) Calculate the margin of error (m)  

The margin of error for the sample mean is given by this formula:  

m=t_c \frac{s}{\sqrt{n}}  

m=2.66 \frac{15.5}{\sqrt{60}}=5.323  

4) Calculate the confidence interval  

The interval for the mean is given by this formula:  

\bar X \pm t_{c} \frac{s}{\sqrt{n}}  

And calculating the limits we got:  

150 - 2.66 \frac{15.5}{\sqrt{60}}=144.677  

150 + 2.66 \frac{15.5}{\sqrt{60}}=155.323  

The 99% confidence interval is given by ($144.677;$155.323)  

We are confidenct at 99% that the true mean for the reapir cost of refrigerators is between 144.677 and 155.323.

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What assumptions have you come up with
Nesterboy [21]

Answer:

The assumption I have come up with informs me that you are indeed a homosexual

Step-by-step explanation:

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