Answer:
a) 
b) Null hypothesis:
Alternative hypothesis: 
And we can use a t test procedure in order to check if the true mean is equat to the desired value.
Step-by-step explanation:
For this case we know that this:
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69.5 bpm
Part a
If we convert this with symbols we can write this as:
Part b
We have the following info given:
represent the sample mean
represent the sample size
We have the following system of hypothesis:
Null hypothesis:
Alternative hypothesis:
And we can use a t test procedure in order to check if the true mean is equat to the desired value.
CommentThere are 3 ways you could solve this
1. You could graph it.
2. You could equate the line to the quadratic
3. You could just put the x value of the points into both equations until you get the same y value. It sometimes is the only way to solve a multiple choice math question. I do the first two ways.
Step OneGraph the two equations.
The graph is below.
Step 2 From the graph determine the answers.
There are two points where the graphs coincide
Check out D
Step 3Equate the two equations. The y values must be the same.
6x + 6 = -x^2 + 5x + 6
Step 4
Solve
6x + 6 = - x^2 + 5x + 6 The 6s cancel which is very handy.
6x = -x^2 + 5x Pull the 2 terms on the left over to the right.
6x - 5x = -x^2
x = - x^2
x^2 + x = -x^2 + x^2
x^2 + x = 0 Factor
x(x + 1) = 0
That means that
x = 0
or
x + 1 = 0
x = - 1
Step 3Find the ys
y = 6x + 6
if x = -1
y = 6(-1) + 6
y = -6 + 6
y = 0
One of the answers is
(-1,0) <<<<<<<<
Answer
Now for the other one
y = 6x + 6
x = 0
y = 6(0) + 6
y = 6
The other point is (0,6) answer <<<<<<<
D <<<<<< Total answer
Answer:
The answer would be c. 1440
Step-by-step explanation:
one of the angels would be 144 so you're gonna have to end up multiplying it by 10 which leads to 1440
63
.10d + .05n = 5.25
.10(21) + .05n = 5.25
2.1 + .05n = 5.25
.05n = 3.15
n = 3.15/.05
n = 63
Let the number of seats of the smaller van be "x". Since it travels two times in the morning, it will be 2x. The bigger van has 14 more seats than the small one, so it will be x + 14. To find the value of x, the formula would be,
65 = 2x + x + 14
65 = 3x + 14
65 - 14 = 3x
51 = 3x
51/3 = x
17 = x
The value of x is 17.
Van A = 17 seats + 14 seats = 31 seats
Van B = 2 (17 seats) = 34 seats
Van A has 31 seats for 31 people for a single trip.
Van B has 17 seats, and since it has two trips, it can transport 34 people.
