Answer:
Step-by-step explanation:
1. (a-b-c) (a2+b2+c2-ab-ac-bc). = (a3-b3-c3).
NOTE : this is an identity 11th identity
2. (98)3
That is 98×98×98= 941192
For example. (1)3
That is 1×1×1= 1
Or (2)3
That is 2×2×2= 8. [ 2×2=4. ]. {4× 2 = 8 )
Thank you
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:
15
Step-by-step explanation:
The product of the prime factors of 3375 are
3375 = 3³ × 5³, then
=
= ×
= 3 × 5
= 15
Answer:
24 + 40 = 8*(3 + 5)
Step-by-step explanation:
The factors of:
24: 1, 2, 3, 4, 6, 8, 12, 14
40: 1, 2, 4, 5, 8, 10, 20, 40
the prime factors:
24: 2 * 2 * 2 * 3
40: 2 * 2 * 2 * 5
The most shared factors are (2*2*2=8)
Factoring out 8 we have:
24 + 40 = 8*(3 + 5)