Answer:
0.97547
Step-by-step explanation:
Given That:
Mean (m) = 102
Standard deviation (σ) = 12
Sample size (n) = 63
Probability that sample mean would differ from Population mean by less than 3.4 watts
P(m - s < X < m + s)
P(102 - 3.4 < Z < 102 + 3.4)
Using the Z formula :
Zscore = (x - m) / (σ/√n)
x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4
Z = (98.6 - 102) / (12/√63) = −2.248888
P(Z < - 2.2488) = 0.012263 (Z probability calculator)
Z = (105.4 - 102) / (12/√63) = 2.2488886
P(Z < 2.2488) = 0.98774 (Z probability calculator)
0.98774 - 0.012263 = 0.97547
The translation of a function f(x) can be described as:
f(x)->f(x-h)+k
when the functions has been translated h units to the right, and k units up.
Compare with
sqrt(x)->sqrt(x-1)+0
we see that h=1, k=0.
Thus it is a horizontal translation of 1 unit to the right. (zero unit up).
That's the distance formula, which is the Pythagorean Theorem applied to the points.
The distance between (a,b) and (c,d) is 
a-c is the signed distance in the x direction between the points. b-d is the signed distance in the y direction between the points. Since the axes are perpendicular, these make a right triangle whose hypotenuse is the distance between the points.
Here that just means our distance is
Answer: B 4.1 units
C. $693.33. Just round. It helps. Round 2,080 to 2,100. Then whats 30% of 2,100? It's easy just think of 21 divided by 3, which equals 7. So, 700 and the closest answers to that is $693.33. That's just the easy way instead of doing the math out. And it is also common sense that B or D wouldn't be it. So your left with C or A. :)
Answer:
number c
Step-by-step explanation:
4 x 5 = 20
4x 8 = 32
5 x 5 = 32
5 x 8 = 40
Hope this helps ;)
