Answer:
Step-by-step explanation:
Let x be the random variable. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 474
σ = 32
x = 514
The probability of being below 514 is expressed as P(x < 514)
For x = 514,
z = (514 - 474)/32 = 1.25
Looking at the normal distribution table, the probability value corresponding to area below the z score is 0.89
Therefore,
P(x < 514) = 0.89
Answer:
- Question (2): 1/6 ≈ 0. 17
Explanation:
<u>1. Arrange the information of the balls contained in the bowls in a table:</u>
Bowl X Bowl Y Bowl Z Total
Red balls 2 2 1 5
White balls 2 1 3 6
Blue balls 3 1 2 6
==============================
Totals 7 4 6 17
<u>2. To answer each question use the basic definition of probabilities</u>
- Probability = # of favorable events / # of possible events
<u>3. Question (1) If the ball is blue, what is the probability that it was drawn from bowl X? </u>
<u />
- Number of total blue balls: 6
- Number of blue balls in the bowl X: 3
- Probability that a ball that is blue was drawn from the bowl X: P (b/X)
P (b/X) = number of blue balls in the bowl X / total number of blue balls = 3 / 6 = 1/2 = 0.5
<u>4. Question (2) If the ball is either blue or white, what is the probability that it was drawn from bowl Y?</u>
- Number of total blue and white balls: 6 + 6 = 12
- Number of blue balls and white balls in the bowl Y: 1 + 1 = 2
- Probability that a ball that is either blue or white was drawn from the bowl Y: P (b or w / Y)
P (b or w /Y) = number of blue balls and white balls in the bowl Y / total number of blue balls and white balls = 2 / 12 = 1/6 ≈ 0.17
Answer:
2^15x^15 is the correct answer.
Step-by-step explanation:
Answer:
The correct option is D.
Step-by-step explanation:
It is given that Issouf claims that the scale factor is 1/2.
From the given figure it is clear that
The scale factor of a figure is
The scale factor is 1/3 because CB is actually 2 + 4 = 6.
Therefore the correct option is D.
Answer:
B. 1/2
Step-by-step explanation:
Slope formula = 
