By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 12 in. long and 10 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your answers to two decimal places.)
in (smallest value)
in
in (largest value)
Answer:
(c) H0 should be rejected
Step-by-step explanation:
Null hypothesis (H0): population mean is equal to 5
Alternate hypothesis (Ha): population mean is greater than 5
Z = (sample mean - population mean) ÷ (sd/√n)
sample mean = 5.3, population mean = 5, sd = 1, n = 500
Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67
Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326
Conclusion:
Since 6.67 is greater than 2.326, reject the null hypothesis (H0)
Just substitute 3 for x, and it’s 3+1=4. Your answer is 4!
<h3>
Answer: £66</h3>
Your teacher may want you to leave off the pounds sign.
==========================================================
Explanation:
x = amount Bill gets
3x = amount Sam gets, because he gets three times as much
x+3x = 4x = total amount of money
4x = 88
x = 88/4
x = 22
Bill gets £22
3x = 3*22 = 66
Sam gets £66
Note that 22+66 = 88 to help confirm the answer.