Answer:
a) No. It is not normal.
b) The probability that 700 randomly selected cars at this freeway entrance will carry more than 1075 people is 0.104
Step-by-step explanation:
<u>(a) Could the exact distribution of the count be Normal?</u>
The exact distribution of the number of people in each car entering a freeway at a suburban interchange is not normal. Because the count is <em>discrete </em>and <em>can assume values bigger or equal to one</em>.
<u>(b) The probability that 700 randomly selected cars at this freeway entrance will carry more than 1075 people.</u>
The probability we seek is the cars carrying people with mean more than 
That is P(z>z*) where z* is the z-score of 1.5357.
z* can be calculated using the equation:
z*=
where
- X is the mean value wee seek for its z-score (1.5357)
- M is the average count of people entering a freeway at a suburban interchange. (1.5)
- s is the standard deviation of the count (0.75)
- N is the sample size (700)
Thus z*=
≈ 1.26
We have P(z>1.26)=1-P(z≤1.26)= 1-0.896 = 0.104
Answer:
a = 45.14
Step-by-step explanation:
First we need to determine whether this is a non-right triangle or a right triangle.
Since we have two angles already, we can determine whether the third angle is a right or non-right angle:
The sum of all the angles in a triangle will always add up to 180, so we have
180 - (62 + 28) = 180 - 90 = 90
Since we have a right triangle and only one side, we can use trigonometry to find the measure of a.
If we use ∠A as the reference angle, side a is our opposite angle and side c is our adjacent angle.
This means we must use tangent as
:

Answer:
B.
Step-by-step explanation:
There are two 1/4's, five 1/2's, and three 3/4's.
So this means,
There will be two x's above 1/4,
Five x's above 1/2,
And three x's above 3/4,
Line plot B is the only line plot that matches this.
Therefore option B is the answer.
Option B is the answer and that because the photo below