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3 years ago

Sherman goes golfing every 6th day. and Brad goes golfing every 7th day.

Mathematics

2 answers:

scoundrel [369]3 years ago

6 0

They will golf together every 42 days

mylen [45]3 years ago

3 0

Find the least common multiple of each number:

6, 12, 18, 24, 30, 36, 42

7, 14, 21, 28, 35, 42

The least common multiple is 42, which means every 42 days they will golf on the same day.

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A simple random sample from a population with a normal distribution of 98 body temperatures has x =98.90 °F and s =0.68°F. Const

Ludmilka [50]

Answer:

$0.609 \leq \sigma \leq 0.772$

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

Step-by-step explanation:

1) Data given and notation

s=0.68 represent the sample standard deviation

$\bar x =98.90$ represent the sample mean

n=98 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=98-1=97$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,97)" "=CHISQ.INV(0.95,97)". so for this case the critical values are:

$\chi^2_{\alpha/2}=120.990$

$\chi^2_{1- \alpha/2}=75.282$

And replacing into the formula for the interval we got:

$\frac{(97)(0.68)^2}{120.990} \leq \sigma \leq \frac{(97)(0.68)^2}{75.282}$

$0.371 \leq \sigma^2 \leq 0.596$

Now we just take square root on both sides of the interval and we got:

$0.609 \leq \sigma \leq 0.772$

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

3 0

3 years ago

A 34 inch baseball bat is resting 6 inches from the base of a play house as shown how far up on the Playhouse is a baseball bat

Lelu [443]

28 is the answer so c

7 0

3 years ago

The volume of a tennis ball is 8 cubic inches. What is the radius?

aleksklad [387]

24 is the correct answer:)

4 0

3 years ago

Find the margin of sampling error to the nearest percent. p = 49%, n = 1200

umka21 [38]

D should be your answer

5 0

3 years ago

A triangle has sides with lengths of 21m, 28m, and 49m. Is it a right triangle?

34kurt

Answer:

To find : If 21m, 28m and 49m form a right angle or not.

Logic : To find if this triangle is a right angle, we can use the Pythagoras Theorem, which states that the square if the longest side should be equal to the square of the sum of the other two sides.

The name of the longest side is called the hypotenuse, while the others are called legs or one is the perpendicular and the other the base.

Proof : $h^{2} = p^{2} + b^{2}$

=> $49^{2} = 28^{2} + 21^{2}$

=> 2401 = 784 + 441

=> 2401 ≠ 1225

Therefore these side lengths cannot be the lengths of a right angled triangle.

If my answer helped, kindly mark me as the Brainliest!!

Thank You!

6 0

3 years ago