Answer:
12
Step-by-step explanation:
Here we use SOHCAHTOA
Seeing as we have the hypotenuse and we are working to find out the opposite, we use SOH
Sin(x)= Opposite/Hypotenuse
Sin(45) = x/
×12 root 2
sin(45) times 12 root 2= 12
x=12
The space between the end of the wall and the towel rack will be <u>9.2 inches</u>.
<h3>What is space?</h3>
Space is the relative position of objects at a distance from one another.
In this instance, space refers to the empty area at each end of the towel rack.
<h3>Data and Calculations:</h3>
The length of the towel rack = 58.4 inches
The length of the wall = 76.8 inches
The difference between the lengths of rack and wall = 18.4 inches (76.8 - 58.4)
Since Henry wants the towel rack to be centered, the space between the end of the wall and the towel rack will be <u>9.2 inches</u> (18.4/2).
Thus, the space between the end of the wall and the towel rack will be <u>9.2 inches</u>.
Learn more about space at brainly.com/question/10558496
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<h3>Question Completion:</h3>
Let the towel rack be 58.4 inches long
Answer:
13
Step-by-step explanation:

A.6x+34
B.8t+38
C.2y-14
D.11n+16
Answer:
A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).
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 34.09 - 3.25 = 30.84.
The upper end of the interval is the sample mean added to M. So it is 34.09 + 3.25 = 37.34.
A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).