
The appropriate choice is
... D) x = -2 ±√7
Three hundred fourteen thousand ,two hundred seven
Answer: Using the proportion beteween the sides of the similar triangles, the distance between the endpoints of the beams P and Q is 3.2 inches.
Option a. 3.2 inches
Solution
PR=3.7 inches; CR=5.6 inches; AC=4.9 inches
As the two triangles QRP and ARC are similar, their sides must be proportionals, then:
PQ/AC=PR/CR=QR/AR
Replacing the given values in the proportion above:
PQ/(4.9 inches)=(3.7 inches)/(5.6 inches)=QR/AR
PQ/(4.9 inches)=3.7/5.6
Solving for PQ: Multiplying both sides of the equation by 4.9 inches:
(4.9 inches)[PQ/(4.9 inches)]=(4.9 inches)(3.7/5.6)
PQ=(4.9)(3.7)/5.6 inches
PQ=18.13/5.6 inches
PQ=3.2375 inches
Rounding to one decimal place:
PQ=3.2 inches
Answer:
The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.
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 = 1.645.
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 122 - 3.4 = $118.6
The upper end of the interval is the sample mean added to M. So it is 122 + 3.4 = $125.4
The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.