-7x+4
the negative sign affect each term in parentheses
1) 5x-1=x+115
5x-x=115+1
4x=116
x=116/4
x=29 (Answer)
2) 3+5q=9+4q
5q-4q=9-3
q=6 (Answer)
3) 2b+4=-18-9b
2b+9b=-18-4
11b=-22
b=-22/11
b=-2 (Answer)
Hope this helps
Answer:
Step-by-step explanation:
2/5 + x = 1
Multiply each term by 5
2 + 5x = 5
5x = 5 - 2
5x = 3
x = 3/5
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
Answer:
D). 659.73 in^3.
Step-by-step explanation:
The volume of a cone = 1/3 π r^2 h
The volume of the large cone = 1/3 π 6^2 * 20 in^3.
The plane passes through the midpoint of the cone so the height of the small cone = 10 in
and the radius of this cone is 1/2 * 6 = 3 in.
The volume of the small cone = 1/3 π 3^2 * 10 in^3.
So the volume of the blue section
= 1/3 π 6^2 * 20 - 1/3 π 3^2 * 10
= 659.73 in^3.
