Answer:
(-6, 0)
Step-by-step explanation:
(x, y) over y=x = (y, x)
so (0, -6) will be (-6, 0).
Answer: x=2
Step-by-step explanation:
Expand.
32−8x=7x+2
Add 8x to both sides.
32=7x+2+8x
Simplify 7x+2+8x7x+2+8x to 15x+215x+2.
32=15x+2
Subtract 22 from both sides.
32−2=15x
Simplify 32−2 to 30.
30=15x
Divide both sides by 15.
30/15=x
Simplify 30/15 to 2
2=x
Switch sides.
x=2
Answer: 0.03855
Step-by-step explanation:
Given :A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds.
Its maximum safe load is 10000 pounds.
Let X denotes the weight of 50 people.
As per given ,
Population mean weight of 50 people =
Standard deviation of 50 people 
Then , the probability its maximum safe load will be exceeded =
![P(X>10000)=P(\dfrac{X-\mu}{\sigma}>\dfrac{10000-9500}{282.84})\\\\=P(z>1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Z>z)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855](https://tex.z-dn.net/?f=P%28X%3E10000%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B10000-9500%7D%7B282.84%7D%29%5C%5C%5C%5C%3DP%28z%3E1.7671-8%29%5C%5C%5C%5C%3D1-P%28z%5Cleq1.7678%29%5C%20%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3Ez%29%3DP%28Z%5Cleq%20z%29%5D%5C%5C%5C%5C%3D1-0.96145%5C%20%5C%20%5C%20%5B%5Ctext%7B%20By%20p-value%20of%20table%7D%5D%5C%5C%5C%5C%3D0.03855)
Thus , the probability its maximum safe load will be exceeded = 0.03855
Answer:
4 and -4
Step-by-step explanation:
Because 4 to the left of 0 is negative and 4 to the right is positive
44
Step-by-step explanation:
The line is pointing to 44 and the small lines are counting by two