Answer:

Step-by-step explanation:
we know that
The inscribed angle measures half that of the arc comprising
step 1
Find the measure of arc EF

we have

substitute


step 2
Find the measure of arc EH

we have

substitute


step 3
Find the measure of arc FGH

substitute the values


step 4
Find the measure of angle FEH

we have

substitute

We are given dimensions of rectangular bedroom = length of 5m and width 3 m.
Also scale drawing of factor 1/50 of the original dimension.
In order to find the dimensions of scale drawing, we need to multiply scale factor by each dimension.
Therefore, length of the scale drawing is 5 * 1/50 = 1/10 m and
Let us convert it in centimeter now.
1 m = 100 cm
1/10 m = 100 * 1/10 = 10cm.
Width of the scale drawing = 3 * 1/50 = 3/50 m.
100*3/50 = 6 cm.
Therefore, the dimensions of a scale drawing of Elenas bedroom is length 10cm and width 6cm.
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let
represent the sample mean, the distribution for the sample mean is given by:
On this case
Solution to the problem
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
Given that t<span>he x-axis represented the number of small tanks and the y-axis represented the number of large tanks.
Given that </span>h<span>is small tanks would require 2 oz of conditioner and his large tanks would require 6 oz of conditioner and there are a total of 72 oz of water conditioners available.
The line representing the various combinations of </span>tanks he could put the water conditioner into is given by 2x + 6y = 72.
Since, t<span>he manager labeled only the intercepts.
The x-intercept is the value of x when y = 0 and is given by
2x + 6(0) = 72
x = 72 / 2 = 36
Thus, the x-intercept is (36, 0)
</span>
<span>The y-intercept is the value of y when x = 0 and is given by
2(0) + 6y = 72
y = 72 / 6 = 12
Thus, the x-intercept is (0, 12)
Therefore, the points labeled by the manager are: (0, 12) and (36, 0)
</span>