1. Answer: given: an average of 28 pounds
a.
Find z values corresponding to 27 and 31:
z=%2827-28%29%2F2=-1%2F2=-0.5
z=%2831-28%29%2F2=3%2F2=1.5
Find the area between z+=+-0.5 and z=+1.5
Table E gives us an area of 0.9332-0.30=0.6247=> The probability is 62.47%
b.
Find z values corresponding to 30.2
z=%2830.2-28%29%2F2=2.2%2F2=1.1 Find the area to the right of z+=1.1
it gives you an area of 0.1357=> The probability is 13.57%
32500 because you divide by 24.
Answer:
or 5.5√2
Step-by-step explanation:
We can see that this is a 45-45-90 triangle
refer to the image below to see what that means
we can see that (in the image) 11=x√2
which means that x= 11/√2
to rationalize this fraction we mulitply both sides by √2 to get
or 5.5√2
An absolute value means something distance from 0, so |8| = 8 because the distance of 8 from 0 is 8. However the |-8| still equals 8 because the distance from -8 to 0 is 8
So with that in mind, we know that |-4| is 4 because the distance -4 is from 0 is 4
So we have 4*4 = 16
Answer:
11/4 seconds
Step-by-step explanation:
We can see from the given equation that the height at the diving board is h = 3.
This is because the h(t) equation has that +3 at the end, which denotes the initial height of the diver, the height when he is standing on the board before jumping.
To find where h(t) = 3 is true, we need to set h(t) equal to 3 and solve for t.
h(t) = 3
h(t) = -4t^2 + 11t + 3 = 3
-4t^2 + 11t + 3 - 3 = 0
-4t^2 + 11t = 0
t*(-4t + 11) = 0
so h(t) = 3 when t = 0 and when t = 11/4 sec
we already know that at t = 0 the height is 3, it is the initial height given from the equation, so we want to use the other solution for t.
the diver is back at the height of the diving board at t = 11/4 sec
