Answer:
x = 1.5
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin60° =
, then
sin60° =
=
=
( cross- multiply )
2x = 3
( divide both sides by 2 )
x = 1.5
If 2 of 12 eggs are cracked, then 10 are not cracked.
SO
10/12=5/6=about 0.83
0.83 of total eggs not cracked is also equivalent to 83 percent as asked in the problem :)
Answer:
Multiply 6 x 4 then add 10
or do the other way around
Step-by-step explanation:
Answer:

Step-by-step explanation:
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The t distribution or Student’s t-distribution is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".
The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.
Data given
Confidence =0.99 or 99%
represent the significance level
n =16 represent the sample size
We don't know the population deviation 
Solution for the problem
For this case since we don't know the population deviation and our sample size is <30 we can't use the normal distribution. We neeed to use on this case the t distribution, first we need to calculate the degrees of freedom given by:

We know that
so then
and we can find on the t distribution with 15 degrees of freedom a value that accumulates 0.005 of the area on the left tail. We can use the following excel code to find it:
"=T.INV(0.005;15)" and we got
on this case since the distribution is symmetric we know that the other critical value is 
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