43 is between the 40 and 45
Answer:
D. a = 60 and b = 58.8
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Z-score for data point a is 0.
This means that a is the mean, that is, a = 60.
The z-score for data point b is -0.4.
This means that b must be a value below the mean, that is, a value below 60.
The option that satisfies a = 60 and b < 60 is option D, which is the answer.
Answer:
x=2
Step-by-step explanation:
y=3x+2
y=x+6
Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.
Therefore, substitute into both equations as shown:
3x+2=x+6
3x-x=6-2 (bring 2 to the other side by subtracting 2 as well as x)
2x=4
2x/2=4/2 (dividing 2 on both sides to get rid off 2 in 2x)
x=2.
Do a proportion. 41/100= 83/x. Now cross multiply and divide. 83 x 100= 8300 , 8300 divided by 41= 202.439 (I would just round it to nearest tenth). Answer is 202.4