Answer:
The probability that <em>X</em> is less than 42 is 0.1271.
Step-by-step explanation:
The random variable <em>X </em>follows a Normal distribution.
The mean and standard deviation are:
E (X) = <em>μ</em> = 50.
SD (X) = <em>σ</em> = 7.
A normal distribution is continuous probability distribution.
The Normal probability distribution with mean µ and standard deviation σ is given by,

To compute the probability of a Normal random variable we first standardize the raw score.
The raw scores are standardized using the formula:

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.
Compute the probability of (X < 42) as follows:

*Use a <em>z</em>-table for the probability.
Thus, the probability that <em>X</em> is less than 42 is 0.1271.
The normal curve is shown below.
Answer:
7000
Step-by-step explanation:
If it is 5 or more, then round up. If it is 4 or less, then round down.
48 and 6/8 that is the answer
Correct Answer: - 550
We can use the distributive property to distribute the summation to the variables and then get the constant out to apply the summation formulas as shown below in the attached image.
The equation editor does not have a summation symbol, so I have attached the solution using the image.
The correct answer to this question is -550. First option is the correct one.
Answer:
C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?
Step-by-step explanation:
For A., the equation would be 4 + 6 - 3
For B., the equation would be 3 x (6 + 4)
So our only option is C.
For C., the equation would be 4 x (6 + 3)