Expression that is equivalent to 27e+24
2 answers:
Answer:
Explanation:
Sinse you were not specific in your approach, it is safe to assume that you were probably looking for how to factour this expression, and the way to do to this is to factour a 3 out the expression sinse both quantities have a common divisour of 3:
24: 1, 2, 3, 4, 6, 8, 12, 24
27: 1, 3, 9, 27
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Answer:
8 minutes.
Step-by-step explanation:
Let m represent number of minutes.
We have been given that Mike is biking to catch up with his sister who is already 1200 yards ahead of him. His sister is biking at a speed of 450 yards per minute.
So total distance covered by Mike's sister after m minutes would be .
Mike bikes at a speed of 600 yards per minute, so total distance covered by Mike in minutes would be .
Now, we will equate both expressions to find minutes at which both distances will be equal as:
Therefore, it will take after 8 minutes for Mike to catch his sister.
Answer: a. The interval in percentage is (23.46% , 30.76%)
b. No
Step-by-step explanation: To determine the confidence interval of a proportion, first find the percentage of yellow in that population:
phat =
phat = 0.2711
The level α is 95%
1 - α = 0.05
α/2 = 0.025
As the population is bigger than 30, use z-test.
According to the table, z-score for α/2 = 0.025 is z = 1.96
The error for the interval is:
E = z.
E = 1.96.
E = 1.96*0.01865
E = 0.0365
The lower and higher limits of the interval are:
phat - E = 0.2711 - 0.0365 = 23.46%
phat + E = 0.2711 + 0.0365 = 30.76%
In conclusion, the 95% confidence interval to estimate the percentage of yellow is (23.46%,30.76%)
b. No, because 25% is inside the interval meaning that it doesn't contradict the expectations.