Answer:
they are -6 and -7
Step-by-step explanation:
Answer:
Step-by-step explanation:
First at all, we need to use to convert this expression into a fraction, like:
to convert into .
Expand the fraction to get the least common denominator, like
Write all numerators above the common denominator, like this:
The bottom one used the same way to became simplest form, like this:
And it became like this:
Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.
3y-2(5) and 5y-1(3)
and it will becomes like this in function form:
Then, we should distribute 5 through the parenthesis
And.... Here we go. That is the answer.
9514 1404 393
Answer:
- |w -30| > 1.6
- (-∞, 28.4) U (31.6, ∞)
Step-by-step explanation:
1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:
|w -30| > 1.6
__
2. This inequality resolves to two inequalities.
w -30 > 1.6
w > 31.6 . . . . . add 30
and
-(w -30) > 1.6
w -30 < -1.6 . . . multiply by -1
w < 28.4 . . . . . add 30
The solution in interval notation is the union of the two disjoint intervals:
(-∞, 28.4) U (31.6, ∞)
Answer:
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.28.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5
The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.