Answer:
Step-by-step explanation:"
The electrician charges an initial fee of $42", AND "The electrician charges $22 for every hour worked" is true.
The equation is y=22x+42. The formula is y=mx+b.m is the slope, or is this case, the number of dollars for every "x", which is the number of hours worked. So you have to pay $22 for every hour the electrician works.b is the y-intercept, or the amount it starts with, in this case, you have to pay a fee of $42 even when the electrician worked 0 hours. This is because $42 is the amount it starts with.On a graph, the line will start at (0,42) because that is when you start paying. And then it will increase by 22 for each hour, so the next coordinate would be (1,64).
Answer:
a)
The 95% confidence interval would be given by (0.799;0.847)
b)
And rounded up we have that n=622
c)
And rounded up we have that n=1068
Step-by-step explanation:
Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 95% confidence interval would be given by (0.799;0.847)
Part b
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=622
Part c
And rounded up we have that n=1068
Answer:
The rectangle for the porch and most of the house is 15+ 10 = 25 by 30
25 x 30 = 750
The top triangles are 5 x 5 = 25. We don't need to divide because there are two triangles
The 5 and 5 from the triangle can subtract the bottom 30 to find the length of the rectangle
30-5-5=20 x from the height of the triangle = 100
100+750+25=875
hope this helps. Your answer is 875
Step-by-step explanation:
<span>The percent of 8/15 = 53.33</span>
Positive 3. Absolute values are never negative, they are either 0 or a positive. so -3 would be +3