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<h3>Hey Buddy,</h3><h3>Answer :-</h3>
Answer is 72 .
<h3><u>Explanation :-</u></h3>You probably , Know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well .
• Any number can be converted to fraction if you use 1 as the denominator:
• So now that we've converted 60 into a fraction, to work out the answer, we put the fraction 6/5 side by side with our new fraction, 60/1 so that we can multiply those two fractions.
• convert the whole number to a fraction and then multiply the numerators and denominators.
• Our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
• You can use our handy GCF calculator to work this out yourself if you want to. We already did that , And the GCF of 360 and 5 is 5.
• We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.
• When we put that together, we can see that our complete answer is :-
Answer:
a: 0.8884
b: 0.9934
Step-by-step explanation:
We have µ = 300 and σ = 70. The sample size, n = 125.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.8884
Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317. We want to find
P(283 < x < 317)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(283 < x < 317) = 0.9934
