Answer:
578 + 48 square inches
Step-by-step explanation:
The computation of the area of the purple band is as follows:
Area of the green square = side^2 = x^ square inches
And, the area of the orange square = side^2
The side would be = = 12 + 12 +x = 24 + x
And, now the area would be = (x + 24)^2
Now the area of the orange band is
= Area of the orange square area of the green square
= (x + 24)^2 - x^2
= x^2 + 24^2 + 48 - x^2
= 578 + 48 square inches
Answer:
They went over their goal for the last six months by 34 minutes per month.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values in the data-set divided by the size of the data-set.
529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan.
The mean is:
By how many minutes did they go over their goal in the last six months?
The mean was of 634 minutes, and they wanted to keep it below 600. So
634 - 600 = 34
They went over their goal for the last six months by 34 minutes per month.
Answer:
1) Randomization condition: We assume that we are selecting random samples so this condition is satisfied
2) 10% condition: We assume that the random sample selected is less than 10% of the population size
3) Success/ Failure condition:
For this case we need to satisfy this:
So since the condition 1 and 2 are satisfied the correct option for this case would be:
a)np and nq must be respectively at least equal to 10
Step-by-step explanation:
Assuming the following options:
a)np and nq must be respectively at least equal to 10
b) as n increases, the distribution of sample proportions becomes less Normal
c) np and nq must be respectively less than 10
d) np plus nq must be at least 10.
For this case we need 3 basic conditions:
1) Randomization condition: We assume that we are selecting random samples so this condition is satisfied
2) 10% condition: We assume that the random sample selected is less than 10% of the population size
3) Success/ Failure condition:
For this case we need to satisfy this:
So since the condition 1 and 2 are satisfied the correct option for this case would be:
a)np and nq must be respectively at least equal to 10
Answer:
68
Step-by-step explanation:
We let the random variable X denote the height of students of the college. Therefore, X is normally distributed with a mean of 175 cm and a standard deviation of 5 centimeters.
We are required to determine the percent of students who are between 170 centimeters and 180 centimeters in height.
This can be expressed as;
P(170<X<180)
This can be evaluated in Stat-Crunch using the following steps;
In stat crunch, click Stat then Calculators and select Normal
In the pop-up window that appears click Between
Input the value of the mean as 175 and that of the standard deviation as 5
Then input the values 170 and 180
click compute
Stat-Crunch returns a probability of approximately 68%
