Answer:
range of scores on final exam student get B is 90 to 100
Step-by-step explanation:
given data
Psychology 101 score = 66
average of his midterm = between 78 and 90
maximum = 100 points
to find out
range of scores on final exam student get B
solution
we consider here lowest marks need in final = x
so average at two marks should be
equation is
average marks = 0.5 × ( mid term marks + final marks ) .................1
put here value
78 = 0.5 × ( 66 + x )
x = 90
and
90 = 0.5 × ( 66 + x )
x = 114
so range 90 to 114
but maximum marks is 100 so
range of scores on final exam student get B is 90 to 100
Answer:
See below.
Step-by-step explanation:
First, notice that this is a composition of functions. For instance, let's let 
and 
. Then, the given equation is essentially 
. Thus, we can use the chain rule.
Recall the chain rule: ![\frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29%5Ccdot%20g%27%28x%29)
. So, let's find the derivative of each function:
We can use the Power Rule here:
Now:
Again, use the Power Rule and Sum Rule
Now, we can put them together:
Answer:
10 minutes
Step-by-step explanation:
First, find how much higher the airplane has to travel:
35,000 - 30,000
= 5,000
To fine how long it will take, divide 5000 by 500
5000/500
= 10
So, it will take 10 minutes to get above 35,000 feet
Answer:
Alma is correct.
Step-by-step explanation:
It is a greater change to roll a 1 or a 5 then both. The chances of rolling both can be a bit high but it is also an easier chance that you will roll one of the other.
If you have 2 dice. To roll a 1 and a 5 you only get one change. But to roll one or the other you have 2 different chances. Therefore if you were to roll both dice you have a higher chance to roll a 1 or a 5 with having two dice.
