We know that
<span>1½ cup of cleaner-------> (1*2+1)/2-----> 3/2 cup of cleaner
</span><span>the ratio of cleaner to water=(3/2)/12---> 3/(2*12)--> 3/24--> 1/8
the answer is
1/8</span>
Answer:
(3/4)*x
Step-by-step explanation:
Dilation really means the multiply the scale factor to every segment of the original figure or shape to get the new transformed figure.
so (3/4) * (segment lengths) = (new segment lengths)
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.
It takes bottling machine to fill 4500 bottles in 30 minutes.