<u>Jessica has 5 cupcake cases left.</u>
<em>First, divide 50 into groups of five. Next, subtract two groups of five from 50. Third, divide the remaining cases into groups of six. Finally, subtract 5 groups of six from the remains from the last subtraction equation. </em>
Answer:
C
Step-by-step explanation:
If two events are independent, the probability of both happening are:
P(A and B) = P(A) × P(B)
In this case, if rain and lightening were independent:
P(rain and lightening) = P(rain) × P(lightening)
P(rain and lightening) = 0.45 × 0.45
P(rain and lightening) = 0.2025
However, we're told that P(rain and lightening) is 0.25, not 0.2025.
Since 0.2025 ≠ 0.25, the events are not independent, so they are dependent.
Answer: B
Step-by-step explanation:
Answer:
Sample size of 586 or higher.
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 
.
What sample size could be 95% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion?
Sample size of at least n when 
42.1% of women-owned businesses provided retirement plans contributions, which means that 
. So
We need a sample size of 586 or higher.
Answer:
D. x^4
Step-by-step explanation:
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