Given Information:
number of trials = n = 1042
Probability of success = p = 0.80
Required Information:
Maximum usual value = μ + 2σ = ?
Minimum usual value = μ - 2σ = ?
Answer:
Maximum usual value = 859.51
Minimum usual value = 807.78
Step-by-step explanation:
In a binomial distribution, the mean μ is given by
μ = np
μ = 1042*0.80
μ = 833.6
The standard deviation is given by
σ = √np(1 - p)
σ = √1042*0.80(1 - 0.80)
σ = √833.6(0.20)
σ = 12.91
The Maximum and Minimum usual values are
μ + 2σ = 833.6 + 2*12.91
μ + 2σ = 833.6 + 25.82
μ + 2σ = 859.51
μ - 2σ = 833.6 - 25.82
μ - 2σ = 807.78
Therefore, the minimum usual value is 807.78 and maximum usual value is 859.51
Answer:
Ashley can serve 12 pieces of pizza in the party
Step-by-step explanation:
To solve this question we need to convert the 9 pizzas to decimal:
9 times 4 = 36. That is:
9 pizzas are equal to 36/4 of pizza (36/4 = 9)
As Ashley is serving 3/4 of a pizza she can serve:
36/4 ÷ 3/4 = 36/3 = 12
<h3>Ashley can serve 12 pieces of pizza in the party</h3>
Answer:
Option 1 (The last one, bottom right)
Step-by-step explanation:
If you start at the origin and go 2 to the left and 4 down, you will reach a point. We can test the slope by using rise over run from one point to another. It goes up 1 and three across which is true in this case.
The average rate of change in the median household income over this time period is $745.5
<h3>What is the average rate of change in the median household income over this time period?</h3>
The given parameters are:
2000, the median household income was $41,990.
2010, it was $49,445.
The average rate of change in the median household income over this time period is calculated as:
Average rate of change = (Difference in Income)/(Difference in years)
So, we have:
Average rate of change = (41990 - 49445)/(2000-2010)
Evaluate
Average rate of change = 745.5
Hence, the average rate of change in the median household income over this time period is $745.5
Read more about average rate of change at
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Number of yellow envelopes is 13-11 =2
Blue is 13
Green is 2*3 =6 so add the totals
2+6+13 which is 21