Answer:
Common denominator is 15
Step-by-step explanation:
Answer:
0.000307
Step-by-step explanation:there will be no explaintion but it should be correct
Answer:
A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F
Test statistic(Z) = 2.31
P-value = 0.0104
Step-by-step explanation:
Step 1
Null hypothesis: The average damaging temperature of nine iPods is 5°F
Alternate hypothesis: The average damaging temperature of nine iPods differs from 5°F
Step 2
Mean=5°F, Sd=3, df=n-1=9-1=8
The t-value corresponding to 8 degrees of freedom and 95% confidence level (5% significance level) is 2.306
Confidence Interval(CI) = (mean + or - t×sd/√n)
CI = (5 + 2.306×3/√8) = 5 + 6.918/2.828= 5+2.45=7.45°F
CI = (5 - 2.306×3/√8) = 5-2.45 = 2.55°F
Z = (sample mean - population mean)/(sd÷√n) = (5-2.55)/(3÷√8) = 2.45/1.061 = 2.31
Step 3
Using the standard distribution table, the cumulative area to the left of Z = 2.31 is 0.9896
P-value = 1 - 0.9896 = 0.0104
Step 4
Conclusion: A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F
Answer:
The correct option is B) 
Step-by-step explanation:
Consider the provided function.
and 
We need to divide f(x) by d(x)
As we know: Dividend = Divisor × Quotient + Remainder
In the above function f(x) is dividend and divisor is d(x)
Divide the leading term of the dividend by the leading term of the divisor:
Write the calculated result in upper part of the table.
Multiply it by the divisor: 
Now Subtract the dividend from the obtained result:

Again divide the leading term of the obtained remainder by the leading term of the divisor: 
Write the calculated result in upper part of the table.
Multiply it by the divisor: 
Subtract the dividend:

Divide the leading term of the obtained remainder by the leading term of the divisor: 
Multiply it by the divisor: 
Subtract the dividend:

Therefore,
Dividend = 
Divisor = 
Quotient = 
Remainder = 0
Dividend = Divisor × Quotient + Remainder

Hence, the correct option is B) 