8 can go into 71 seven times
Answer:
B) -2
Step-by-step explanation:
I got the slope by using two points on the line (0,7) and (4,-1)
Slope=y2-y1/x2-x1
(7--1)/(0-4)
=
8/-4
I then simplified 8/-4 to -2
You could also solve by finding the rise over run for two points on the line.
The rise is 2 and the run is -1, making it 2/-1 or -2
Answer:
Option C.
Step-by-step explanation:
In △ONM and △SRQ,
We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.
According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.
It is given that
. So, both triangles are similar by SAS if
Substitute the given values.
Divide both sides by 8.
Therefore, the correct option is C.
Answer:
x= 4
Step-by-step explanation:
The two triangles are similar so the ratios of both should be the same. Triangle DEF is 15 times bigger than triangle ABC so 60 divided by 15 is 4. Moral of the story 4 equals X
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