Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Step-by-step explanation:
Let x and y area the random variable that represents the heights of women and men.
Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.
i.e. 
Since , 
Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).
[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]
Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.
i.e. 
Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).
[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]
∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Answer:
1: No, they're not similar polygons
2: Yes, they're similar polygons
Step-by-step explanation:
1: DF/AC = 8/6 = 1.3repeating
FE/CB = 6/4 = 1.5
there is no constant of proportionality
2: 48/40 = 1.2
35/30 = 1.2
the constant of proportionality is 1.2
Answer:
For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.
Step-by-step explanation:
Answer:
1 is c
2 is d
3 is a
Step-by-step explanation:
Sorry it took a bit not pretty good at these but i used an app called desmos and it basically gives the answer
Answer:
22
Step-by-step explanation:
198 = 2×3²×11
For 198n to be a perfect square, each prime factor must have an even exponent. So the smallest 198n would be:
198n = 2²×3²×11²
198n = 4356
n = 22
