Answer: 1/56
Step-by-step explanation:
Since the box has 8 different colors, the probability of picking any color of crayon will be 1/8.
This question relates to a probability without replacement, therefore, the probability of picking the red crayon first will be 1/8. After then, there'll be 7 crayons left and the probability of picking the green crayon next will be 1/7.
Therefore, the probability that I will remove the Red and the Green crayon from the box will be:
= 1/8 × 1/7
= 1/56
Answer:
<u>The additional 1.3% of increase in the annual interest rate that Jack is receiving in his savings account, from 2.8% to 4.1%, represent an increase of 46.42%.</u>
Step-by-step explanation:
Jacks's savings account annual interest rate before = 2.8%
Jacks's savings account annual interest rate after the increase = 4.1%
Difference of the two rates = 4.1% - 2.8% = 1.3%
How much percentage is that additional 1.3% from the rate before the increase?
(1.3 * 100)/ 2.8 = 130/2.8 = 46.42%
<u>The annual interest rate increased by 46.42% from the previous annual interest rate.</u>
Answer: The answers are A, B, C and E
Step-by-step explanation:
I know this because I do, trust me :)
Step-by-step explanation:
a. First, find the z-score.
z = (x − μ) / σ
z = (80 − 74.0) / 12.5
z = 0.48
Use a calculator or table to find the probability.
P(z < 0.48) = 0.6844
b. Find the standard deviation of the sample.
σₓ = σ / √n
σₓ = 12.5 / √4
σₓ = 6.25
Find the z-score.
z = (x − μ) / σ
z = (80 − 74.0) / 6.25
z = 0.96
Use a calculator or table to find the probability.
P(z < 0.96) = 0.8315
c. When the distribution of the population is normal, then the distribution of the sample mean is also normal.
Answer:
~$0.60
Step-by-step explanation:
Divide 10 with 5.99:
5.99/10 = 0.599
Round to the nearest hundredths.
0.599 rounded to the nearest hundredths = ~0.60
~$0.60 is the cost of one apple.