Answer:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Step-by-step explanation:
Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:
Where 
and 
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64
Using this value we can set up the following equation:
And we have:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Answer:
29/110
Step-by-step explanation:
There are a total of 110 orders at the restaurant, so that will serve as the denominator. There are 29 meatballs, so that will be the numerator. Combine the two and you get 29/110. Experimental probability is what happens in the experiment like this question. Theoretical probability is "real math" as in 1/3.
Answer:
B
Step-by-step explanation:
+ 6 = x ( subtract 6 from both sides )
= x - 6 ( square both sides )
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side = 
+ 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side = 
+ 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B
Answer: 2/3 hours
Step-by-step explanation:
okay so the speed now is 850, which is 850/340 = 2.5 times the original speed
Since It's 2.5 times the original speed,
2.5x = 5/3
so x = 5/3/2.5 = 2/3
Answer: n + (n + 2) = 84
Step-by-step explanation:
If n is the smallest integer, the other integer must be two more than that, because it has to be odd. The two numbers add up to 84, so the other side of the equation is 84.
