Answer: 
Step-by-step explanation:
The mean and standard deviation of the sampling distribution of p is given by :-
, where p= population proportion.
n= sample size.
Let p represent the sample proportion of Americans over the age of 65 that were male.
Given : The proportion of Americans over the age of 65 were male.
p= 43.1%=0.431
sample size : n= 60
Then, the mean and standard deviation of the sampling distribution of p will be :-
Hence, the mean and standard deviation of the sampling distribution of p :
<h3>3
Answers:</h3>
- Coefficient is -8
- Terms are 15 and -8x
- Constant is 15
Explanation:
The coefficient is the number just to the left of the variable. So that's why -8 is the coefficient for -8x. This is the variable term while 15 is the constant (it has no variable multiplied with it). The two terms are 15 and -8x since we can write 15-8x as 15+(-8x). Terms are separated by a plus sign.
Answer:
R=10x
C=2x+7000
P=R-C
a)
Substitute R and C into the equation for P:
P=10x - (2x+7000)
Now substitute 1000 for x and solve for P which is the company's profit if they sell 1000 pens.
b)
Set R equal to C
R=C
Plug in R=10x and C=2x+7000
10x=2x+7000
Solve for x which will be the amount of pens required to be sold to break even.
Step-by-step explanation:
I had to think through.
I hope this helps you :)
Answer:
2, 4, 6, and 8, respectively
Step-by-step explanation:
The rule says that 2 times the x value, which we are given, equals to y, which we must find. So all we hve to do is multiply each of the given x values by two to get the y value.
Answer:
The answer is 30 miles per hour
Step-by-step explanation:
1) From the question we can calculate the initial speed of the train
Initial speed = 1300 miles / 50 hours
= 26 miles / hour
2) Next, we can calculate the amount of distance already traveled:
Distance traveled = 1300 * 0.4
= 520 miles
3) Now let's calculate the amount of time it took to travel the 520 miles:
From point no. 1 we saw that it was traveling at the speed of 26 miles/ hour, so let's calculate the time elapsed.
Time elapsed = 520 miles / 26 hours
= 20 hours
But then again the text states the train was delayed by 4 hours, therefore the total time elapsed was 24 hours
4) Now to find the new speed required to arrive on time, we need to calculate how many hours and distance are left:
From point no. 2 we calculate the distance left
Distance left = 1300 - 520
= 780 miles
From point no. 3 we can calculate the amount of time left:
Time left = 50 - 24
= 26 hours
Finally, we can find the new speed required to arrive on time:
New speed = 780 miles / 26 hours
= <u>30 miles / hour</u>
