Answer:
a = 6
Step-by-step explanation:
-6(2 + a) = -48
it is basically 2 steps
Divide by -6 first
(2 + a) = -48 / -6
2 + a = 8
minus the 2
a =6
Note that the tenth place value is 8 (bolded):
243.875
Look at the place value directly right of the bolded number (hundredth place value). It is a 7. Because 7 is greater than 5, round up
243.875 rounded to the nearest tenth = 243.9
243.9 is your answer
hope this helps
Answer:
THANK YOU SOOO MUCH!!!!!!
Step-by-step explanation:
Answer:
y=−1/5x+2
Step-by-step explanation:
First, you must find the midpoint of the segment, the formula for which is
(x1+x22,y1+y22)
. This gives (−5,3)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y2−y1x2−x1
which gives us a slope of 5
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5 is −1/5
We now know that the perpendicular travels through the point (−5,3)
and has a slope of −1/5
Solve for the unknown b in y=mx+b
3=−1/5(−5)+b⇒3=1+b⇒2=b
Therefore, the equation of the perpendicular bisector is
y=−1/5x+2
Answer:
The sample size required is at least 171
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 .
So it is z with a pvalue of , so
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.
What sample size is required?
A samle size of at least n is required, in which n is found when
So
Rouding up
The sample size required is at least 171