Answer:
x=30°
y=62°
z=88°
Step-by-step explanation:
x+y+z=180
y+z=5x
so x+5x=180
6x=180
x=180/6=30
again z=y+26
so 30+y+y+26=180
2y=180-56=124
y=124/2=62
z=62+26=88
Answer:
Step-by-step explanation:
Take the value for b, divide it by 2 and square it to get the value for c.
In this case, b = -10.
- 10 ÷ 2 = -5
-5^2 = 25
So x^2 - 10x +25 is your quadratic equation which is equal to
Answer:
mean = 77
Step-by-step explanation:
We have a confidence interval of (59, 95) with a confidence of 99.7 percent
99.7 is 6 standard deviations from the mean, 3 on each side of the mean
mean - 3 sigma = 59
mean + 3 sigma = 95
We can use elimination to eliminate sigma. Add these equations together
mean - 3 sigma = 59
mean + 3 sigma = 95
---------------------------------
2 * mean = 154
Divide each side by 2
2 * mean/2 = 154/2
mean = 77
The total is 158 units
(3z+2)+(4z)+(3z+2)+(4z)=158
Combine like terms
14z+4=158
Subtract 4 from both sides
158-4=154
14z=154
Divide by 14 on both sides
154/14=11
z=11