Answer:
7x/12
Step-by-step explanation:
Let her entire allowance be represented by 'x'
She spent 5/8 of 2/3 of her allowance on magazines.
= 5/8×2/3
= 10/24
= 5/12
That 5/12 of 'x'
5/12x
Since her total allowance is x
She will be left with = x - 5/12x
x/1 - 5/12x
12x-5x/12x
= 7x/12
Hence she will be left with 7x/12
Find the rate in which both balls make one full rotation around the track.
Ball A:
It takes 30 seconds for Ball A to make a full rotation.
Ball B:
It takes 20 seconds for Ball B to make a full rotation.
Find the least common multiple of 20 and 30 to find the time at which they'll meet.
Multiples of 20: {20,40,60}
Multiples of 30: {30,60}
60 is the least common multiple of both 20 and 30.
The balls will meet again at
60 seconds.
Answer : 2/4 children will have earlobes that are not attached
Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is:
In which:
- is the sample mean.
- is the standard deviation for the population.
Assuming an uniform distribution, the standard deviation is given by:
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of , so the critical value is z = 1.96.
The sample size is found solving for n when the margin of error is of M = 0.006, hence:
n = 142,282.
A sample of 142,282 should be taken, which is not practical as it is too large of a sample.
More can be learned about the z-distribution at brainly.com/question/25890103
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You can use desmos! and to solve you find the point(s) where they overlap