Answer:
189 = W
Step-by-step explanation:
-21 = -w/9
-21 * 9 = -w/9 * 9
The denominator and numerator in the right side cancel out.
-189 = -w
189 = w
2x+6+x=3x+6
3x+6=180
subtract 6 from both sides.
3x=174
divide by 3 on both sides.
x=58
Answer:
The limit that 97.5% of the data points will be above is $912.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So
The limit that 97.5% of the data points will be above is $912.
Answer:10
Step-by-step explanation:because 10 has no solution
Answer:
A and B
Step-by-step explanation:
If point P (x,y) lies on line segment (between points A and B) and satisfies AP:PB=m:n, then we say that P divides internally in the ratio m:n. The point of division has the coordinates
<u>CORRECT</u>
- Line segment AB has endpoints A(5, 4) and B(2,7). The coordinates (4,5) divides the line segment directed from A to B in the ratio of 1:2
-
Line segment AB has endpoints A(6,5) and B(3,8). The coordinates (5,6) divides the line segment directed from A to B in the ratio of 1:2.
<u>INCORRECT</u>
-
Line segment AB has endpoints A(5,7) and B(8,4). The coordinates (6,5) divides the line segment directed from A to B in the ratio of 1:2.
- Line segment AB has endpoints A(7, 2) and B(4,8). The coordinates (5, 4) divides the line segment directed from A to B in the ratio of 1:2.
<u>REMARK</u>
A and B are correct. However the coordinates of P for C and D are incorrect.