Answer:
66
Step-by-step explanation:
Find other side:
116 + x = 180
-116 -116
------------------
x = 64
Find missing triangle angle:
50 + 64 + x = 180
114 + x = 180
-114 -114
-------------------
x = 66
Hope this helped.
Let X be the score on an english test which is normally distributed with mean of 31.5 and standard deviation of 7.3
μ = 31.5 and σ =7.3
Here we have to find score that separates the top 59% from the bottom 41%
So basically we have to find here x value such that area above it is 59% and below it is 49%
This is same as finding z score such that probability below z score is 0.49 and above probability is 0.59
P(Z < z) = 0.49
Using excel function to find the z score for probability 0.49 we get
z = NORM.S.INV(0.49)
z = -0.025
It means for z score -0.025 area below it is 41% and above it is 59%
Now we will convert this z score into x value using given mean and standard deviation
x = (z* standard deviation) + mean
x = (-0.025 * 7.3) + 31.5
x = 31.6825 ~ 31.68
The score that separates the top 59% from the bottom 41% is 31.68
Answer:
$63
Step-by-step explanation:
You have the constant, $45. You then receive $3 each week. This can be written at $45 + $3w, where w is the number of weeks. So in this case, we need to find out how much money you will have after 6 weeks. We just need to plug in 6 weeks into the equation. The new equation will now be $45 + $3(6).
3 times 6 is $18.
$45 + $18 will give you a final answer of $63.
Answer:
D. b = r+z
Step-by-step explanation:
Given the expression b-r = z, we are to solve for b. To do this, we will add 'r' to both sides of the equation as shown;
b-r+r = z+r
Since -r+r = 0, substitute:
b+0 = z+r
b = z+r
Hence the resulting equation when r is added to both sides of the equation is b = z+r
Hence option D is correct
Answer:
185.68 cm3
Step-by-step explanation:
SA = 2 (L x W) + 2 (L x H) + 2 (W x H)
= 2 (8.2 x 3.4) + 2 (8.2 x 5.6) + 2 (3.4 x 5.6)
= 2 (27.88) + 2 (45.92) + 2 (19.04)
= 55.76 + 91.84 + 38.08
SA = 185.68 cm3