Answer:
0.0001042
Step-by-step explanation:
Power of tens rule states that if the denominator of a fraction has the positive power of 10, decimal in the numerator will be shifted to the left by the same number of places as exponent.
10⁴) 1.042 = 
In the denominator of the given fraction, exponent of 10 = +4
So the decimal in numerator will be shifted left by 4 places.
Therefore, answer is 0.0001042
Answer:
In the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these samples are consistent with what the company said.
Step-by-step explanation:
Given that a large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs, and to investigate this claim researchers collected data from a random sample of the companys customers, whose results were 305 wood, 121 plastic, and 74 metal, to determine if the data from the sample consistent with the companys claim the following calculations should be performed:
305 + 121 + 74 = 500
500 = 100
305 = X
305 x 100/500 = X
30,500 / 500 = X
61 = X
500 = 100
121 = X
121 x 100/500 = X
12,100 / 500 = X
24.2 = X
100 - 61 - 24.2 = X
39 - 24.2 = X
14.8 = X
Therefore, in the sample, 61% chose wooden chairs (4% less than that claimed by the company), 24.2% chose plastic chairs (4.2% more than that claimed by the company), and 14.8 % chose metal chairs (0.2% less than what the company claimed). Therefore, given that these are differences of less than 5%, we can affirm that these are samples that are consistent with what the company said.
There are six possibilities, and one of those possibilities is a 3.
Therefore, the probability of rolling a 3 is: 1/6.
Answer:
F) 63
Step-by-step explanation:
Find the original total stories 10 + 8 + 16 + 8 = 42.
Original ratio of Mary's stories to total stories is 8/42 or 4/21.
Then form equation 4/21 = 12/x ; multiply both sides of 4/21 by 3.
4/21 = 12/63
The students need to write 63 stories to keep the ratio of Mary's stories to total stories the same.
