X + y = 125
x - y = 47
---------------add
2x = 172
x = 172/2
x = 86
x + y = 125
86 + y = 125
y = 125 - 86
y = 39
ur 2 numbers are 39 and 86
Alrighty. If there's 3 angles that are on one linear line, they all must add up to 180, because they would wall be supplementary angles (they all add up to 180).
So, we know that the Angle FCA is 90 degrees, and we know that ACB is 66 since they said so. So, we will add them up, then subtract it from 180. So,
BCD + 66 + 90 = 180
BCD + 156 = 180
BCD = 24
(P.S, that means the angle FCE will be the same because of vertical angle theorem)
Answer:
(a) P(X<51) = 50.0%
(b) P(X<45) = 15.1%
(c) P(X>45) = 84.9%
Step-by-step explanation:
Mean weight (μ) = 51 pounds
Standard deviation (σ) = 5.8 pounds
The z-score for any given weight, 'X', is given by the following expression;
![z=\frac{X- \mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX-%20%5Cmu%7D%7B%5Csigma%7D)
a) P(X<51)
Since 51 pounds is exactly the mean weight, 50% of the dogs weight more than 51 pounds while 50% weight less than 51 pounds.
P(X<51) = 50.0%
b) P(X<45)
The z-score for X=45 is:
![z=\frac{45- 51}{5.8}\\z=-1.034](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B45-%2051%7D%7B5.8%7D%5C%5Cz%3D-1.034)
A z-score of -1.034 is equivalent to the 15.06-th percentile in a normal distribution. Therefore:
P(X<45) = 15.1%
c) P(X>45)
P(X>45) = 100% - P(X<45) = 100% - 15.1%
P(X>45) = 84.9%
85÷(9×5)-(10×4)
85÷(45)-(40)
85/5
17
I think I did this right....
36.
You can get this by taking half of the middle term and squaring it.