Answer:
x = -2, 3.
Step-by-step explanation:
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = -2. 3.
There are 100 cm in a meter, so John's father would be 200 cm tall.
Answer:
1 = 0.61, 2 = 1.13
Step-by-step explanation:
The first is 25 + 25 + 10 + 1. This is 61 cents which is 0.61 of 1 dollar. The second is 100 + 10 + 1 + 1 + 1. This is equal to 113, 0r 1.13
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Answer:
A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error of the interval is given by:
In this problem, we have that:
99.5% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?
This is n when M = 0.07. So
A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07
Evaluating 36^(-3/2) utilizes the laws of exponents. Raising a number by a negative exponent is raising the reciprocal of the number by the exponent: 36^(-3/2) = (1/36)^(3/2).
We could separate 3/2 into 3/2 = 1/2 * 3, and further simplify the expression
= ((1/36)^(1/2))^3= (1/6)^3= 1/216
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