Anything times 1 is equal to itself. Anything times less than one is less than itself. Anything times greater than one is greater than itself. Therefore, 125 times .9, which is less than one, is less than 125
Answer:
60cm
Step-by-step explanation:
the length of other side = sqrt (square root) hypotenuse^2 - the length of thrid side^3 = sqrt 61^2 - 11^2 = sqrt 60^2 = 60
So for this, you'll be using the pythagorean theorem to solve for the height.

Solve the exponents to get

Subtract 81 on each side to get

Square root each side, and your answer should be

or 13.23 ft
Answer:


Step-by-step explanation:
Notation
represent the sample mean
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
For this case the 9% confidence interval is given by:

We can calculate the mean with the following:

And we can find the margin of error with:

The margin of error for this case is given by:

And we can solve for the standard error:

The critical value for 95% confidence using the normal standard distribution is approximately 1.96 and replacing we got:

Now for the 98% confidence interval the significance is
and
the critical value would be 2.326 and then the confidence interval would be:


Answer: 400
Step-by-step explanation:
From the question, we are informed that the probability of getting a 6 is 4/5 and that the dice is rolled 500 times.
The number of sixes that would be expected to roll will be 4/5 multiplied by the number the dice is rolled
= 4/5 × 500
= 400
There'll be 400 sixes.