Answer:
<u><em>Answer is below</em></u>
Step-by-step explanation:
<u><em>10=3x-8</em></u>
<u><em>always remember to flip the equation</em></u>
<u><em>3x-8=10</em></u>
<u><em>Add 8 to both sides</em></u>
<u><em>3x-8(+8)=10(+8)</em></u>
<u><em>3x=18</em></u>
<u><em>Divide both sides by 3</em></u>
<u><em>3x/3=18/3</em></u>
<u><em>x=6</em></u>
Answer:
The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).
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
.
So it is z with a pvalue of
, so 
Now, find 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 mean subtracted by M. So it is 49.57 - 12.17 = $37.40.
The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.
The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).
Answer:
See explanation below
Step-by-step explanation:
x = 16sin49° = 12.1
y = 16cos49° = 10.5
Step-by-step explanation:
Fraction of work done by Gardner in 1 hr = 1 / 5
Fraction of work done by Gardner and helper in 1 hr = 1 / 4
Fraction of work done by helper in 1 hr
= 1 / 4 - 1 / 5
= 1 / 20
<u>Time required by helper to complete work</u> :
= <u>20 hours</u>
There are no sharp objects around,same with bleach