Answer:-35.5
Step-by-step explanation:
-34 + -37 = -71
-71 divided by 2 = -35.5
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:
Step-by-step explanation:
159.39(1-25/100)
159.39(100-25)/100
159.39(75)/100
159.39(0.75)
$119.54
A=3
b=-6
c=1
x=(-b±<span>√(b^2-4ac))/2a
x=(6</span>±√(36-12))/(6)
x=(6±√(24))/(6)
x=(6±2√(6))/(6)
x=(3±√(6))/(3)
x≈1.82
x≈<span>.184</span>
The value of angle a is 70 degrees.
The value of angle b is 110 degrees.