Answer:
a) z* = -1.97
b) z* = -2.33
c) z* = -1.65
d) z* = 2.04
e) z* = 2.33
f) z* = -1.25.
Step-by-step explanation:
Z-score:
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.
a. P(z < z*) = 0.0244
We have to look at the ztable, and find z which has a pvalue of 0.0244. So it is z* = -1.97
b. P(z < z*) = 0.0098
We have to look at the ztable, and find z which has a pvalue of 0.0098. So it is z* = -2.33
c. P(z < z*) = 0.0496
We have to look at the ztable, and find z which has a pvalue of 0.0496. So it is z* = -1.65
d. P(z > z*) = 0.0204
We have to look at the ztable, and find z which has a pvalue of 1 - 0.0204 = 0.9796. So z* = 2.04
e. P(z > z*) = 0.0098
We have to look at the ztable, and find z which has a pvalue of 1 - 0.0098 = 0.9902. So z* = 2.33
(f) P(z > z* or z < -z*) = 0.201
This is z which has a pvalue of 0.201/2 = 0.1055. So it is z* = -1.25.
Answer:
A
Step-by-step explanation:
easy way to take a note
is that the sum of the 2 first angles much be greater than the 3rd one
so A
Answer:
<h3>A). AC is congruent to XZ </h3>
<em><u>Given </u></em><em><u>-</u></em><em><u> </u></em> angle X = angle A
angle Z = angle C
<em><u>To </u></em><em><u>find </u></em><em><u>-</u></em><em><u> </u></em>criteria of congruence
<em><u>Solution </u></em><em><u>-</u></em><em><u> </u></em>
In triangle BAC and triangle YXZ
angle X = angle A
angle Z = angle C
we need one pair of side to be comgruent to show the following traingles congruent
if AC is congruent to XZ
then by angle side angle criteria of triangle both the triangles are congruent..
Answer:
A & C
Step-by-step explanation:
Factors of 18 : 1, 2, 3, 6, 9, 18
18
/\
2 9
/\
3 3
Prime factorization : 18 = 2x3x3
18
/\
3 6
/\
2 3
Prime factorization : 18 = 3x2x3
