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Anna35 [415]
4 years ago
13

The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. what

is the probability that the average height of a sample of twenty 18-year-old men will be less than 67 inches? round your answer to four decimal places.
Mathematics
1 answer:
docker41 [41]4 years ago
3 0
The probability is 0.3707.

We calculate the z-score associated with this using the formula 

z = (X-μ)/σ = (67-68)/3 = -1/3 = -0.33

Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of this (less than) is 0.3707.
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Anne creates necklaces and rings to sell. It takes her 3 hours to make a necklace and 1 hour to make a ring. If she makes 10 ite
ankoles [38]
Hi! to solve the question, how many necklaces did anne make in 16 hours if she makes 10 items in 2 standard 8-hour work days, we should first check the time she needs to make each item.

3 individual hours to make a necklace, and 1 hour to make a ring. according to the problem, she made 10 items in 16 hours. this problem will most likely be trial and error. let’s try one first guess.

my first guess will be, maybe she will make 6 rings and 4 necklaces. 6 times 1 is 6, which takes 6 hours for the rings. 4 times 3 is equal to 12. 6 + 12 is too high! let’s try again.

what about 6 rings and 2 necklaces? 6 times 1 is 6, so that’s 6 hours. 2 times 3 is 6 hours! 6 plus 6 is 12, which is close, but not quite there!

let’s try 7 rings and 3 necklaces! 7 times 1 is 7 hours. 3 times 3 is equal to 9 hours! total that together, 7 plus 9, is equal to 16 hours spent!

so, the answer would be, “Anne made 7 rings and 3 necklaces within 16 hours.” hope this helped!:)
8 0
3 years ago
Help me with this please!
avanturin [10]
A because it starts out 2 degrees less than it need to be (-2) and it needs to go up. It shouldn't go down so it isn't B or D and C starts at 2 and it isn't 98 degrees to start with.
5 0
3 years ago
The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Write a exponential decay function to find the po
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5 0
3 years ago
I need to find the value of k
VladimirAG [237]
Hey there! :D

-2(k-2)≥-20

Distribute the -2. Multiply -2 by k and -2. 

-2k+4≥-20

Subtract 4 on both sides. 

-2k≥-24

Divide by -2 and flip the sign, since you are dividing by a negative. 

k≤12

I hope this helps!
~kaikers 
8 0
4 years ago
Read 2 more answers
Solve for x round to nearest tenth
expeople1 [14]

Answer:

x=12.22

Step-by-step explanation:

Sin(70)=13/x

xsin(70)=13

x=sin(70)13

x=12.22

3 0
3 years ago
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