<u>Solution</u>:
<em>7/(-2.5 + 8.5) + {0.6 (8 + 13)}/-0.2</em>
= 7/6 + (12.6/-0.2)
= 7/6 - 63
= (7 - 378)/6
= -371/6
<em>(OR)</em>
= 61.8333... <em>(Decimal representation of -371/6 is non-terminating & recurring)</em>
Answer:
A sample size of 657 is needed.
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 is:
95% confidence level
So , z is the value of Z that has a pvalue of , so .
In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent.
This means that
(a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03?
A sample size of n is needed.
n is found when
Then
Rounding up to the nearest whole number.
A sample size of 657 is needed.
Consider the graph of the function , where .
1. For you have that and . This means that point (0,10) is y-intercept of this graph (the same as for function ).
2. For you have that , then and function is increasing. This means that the graph will increase at a slower rate and y-values will continue to increase as x-increases.
3. Not all y-values will be less than their corresponding x-values. For example, when b=1.5 and x=2,
.
As you can see x<y.
Answer: correct options are C and D, incorrect - A, B and E.
Answer:
r = ∛(3V/4π)
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³.
We want to solve this first for r³ and then for r.
Multiplying both sides of V = (4/3)πr³ by 3 yields an equation without fractions: 3V = 4πr³.
Dividing both sides of this equation by 4π isolates r³:
3V
r³ = -------
4π
To find r, take the cube root of both sides of
3V
r³ = -------
4π
obtaining r = ∛(3V/4π)