Answer:
And if we solve for a we got
Step-by-step explanation:
For this case we have the initial case we have a normal distribution given :
Where
and
And from the info of the problem we know that:

We can verify this using the z score formula given by:

And if we replace we got:

Now we have another situation for a new random variable X with a new distribution given by:
Where
and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.023 of the area on the left and 0.977 of the area on the right it's z=-1.995. On this case P(Z<-1.995)=0.023 and P(z>-1.995)=0.977
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
Answer:
Volume = 52.5³
Step-by-step explanation:
Volume = Length * Width * Height
Substitute
Volume = 7/2 * 5/2 * 3/2
Volume = 105/2³
Simplify
Volume = 52.5³
Hope this was useful to you!
Answer:
117/99 since there is a bar above the 1.18 it means it is repetitive
Step-by-step explanation:
To determine which answer is correct, apply the given ratio. 1/20:? Just by looking at it we know C is wrong. 4:100 is simplified to 1:25. B is also wrong, as 180:9 is 20:1, which is backwards from 1:20. However, A is correct because 9:180 is 1:20. D is also wrong for the same reasons B and C are wrong. Your answer is A!
Answer:
14.0 inches
Step-by-step explanation:
I took the quiz and got it right!