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
the sum between negative 4 and 13, this can be tought as:
- Stepping on -4 and moving 13 units to the right.
- Stepping on 13 and moving 4 units to the left.
<h3>
Which is the interpretation of the given expression?</h3>
The expression is just the sum:
-4 + 13
So we have the sum between negative 4 and 13, this can be tought as:
- Stepping on -4 and moving 13 units to the right.
- Stepping on 13 and moving 4 units to the left.
Now, none of the written options (a, b, and c) depict any of this, so I assume that the correct option is the one that you did not write, which is option D.
If you want to learn more about expressions:
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Answer:
2/3 or 4/6
Step-by-step explanation:
72ft
you do 8 times 2 is 16
34-16 is 18 then divide by 2 is 9
9 times 8 is 72
~JZ
The graph that shows a unit rate of 3/4, which is the time Cindy reads while riding in the car is the graph attached below.
<h3>What is Unit Rate?</h3>
Unit rate can be described as a constant or exactly how much of one quantity is per 1 unit of another quantity.
Unite rate (k) = x/y.
In the graph attached below, when x (hours driving) = 3, y (hours reading) = 4.
Therefore, unit rate = 3/4. We can then conclude that the graph that shows that Cindy reads 3/4 of the time she rides in a car is the graph attached below.
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