Answer:
Step-by-step explanation:
cheese monkey nut
![y=-\frac{1}{2}(x+5)^2-2\\ y=-\frac{1}{2}(x^2+10x+25-2)\\ y=-\frac{1}{2}(x^2+10x+23)\\ ](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7D%28x%2B5%29%5E2-2%5C%5C%0Ay%3D-%5Cfrac%7B1%7D%7B2%7D%28x%5E2%2B10x%2B25-2%29%5C%5C%0Ay%3D-%5Cfrac%7B1%7D%7B2%7D%28x%5E2%2B10x%2B23%29%5C%5C%0A)
this is not factorable so you must apply the quadratic formula and you'll end up with
x=-5-2i
x=-5+2i
Answer:
Graph for 0.5*x+3, (‑3)/(2*x)+7
Answer: the probability that a truck drives between 166 and 177 miles in a day is 0.0187
Step-by-step explanation:
Since mileage of trucks per day is distributed normally, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = mileage of truck
µ = mean mileage
σ = standard deviation
From the information given,
µ = 100 miles per day
σ = 37 miles miles per day
The probability that a truck drives between 166 and 177 miles in a day is expressed as
P(166 ≤ x ≤ 177)
For x = 166
z = (166 - 100)/37 = 1.78
Looking at the normal distribution table, the probability corresponding to the z score is 0.9625
For x = 177
z = (177 - 100)/37 = 2.08
Looking at the normal distribution table, the probability corresponding to the z score is 0.9812
Therefore,
P(166 ≤ x ≤ 177) = 0.9812 - 0.9625 = 0.0187
Answer:
7 hundred thousand, 4 forty, 2 thousand, comma 5 hundred, 13 and thirteen is 10's and units combined. No decimal needed as units is both last and whole.
Step-by-step explanation: