Answer:
<h2>2^7</h2>
Multiply
2^3 by 2^4 by adding the exponents.
Use the power rule
a^m a^n=a^m+n
to combine exponents.
2^3+4
Add 3 and 4.
2^7
Raise 2 to the power of 7.
128
Step-by-step explanation:
Hope it is helpful....
Answer:
Therefore the final price of the table coffee which is on sale by 20% with a sales tax of 7.5% is $98.9
Step-by-step explanation:
it is $98.9
Answer:
B
Step-by-step explanation:
The equation of proportionality is
y = kx ← k is the constant of proportionality
Here k = 2 , then
y = 2x
This means that the y- coordinate is twice the x- coordinate
The only point where this is true is the point
(2, 4 ) → B
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.
