-- Look at the places where the line crosses the 'x' axis and the 'y' axis.
Between those two points, it goes forward 2 units, but only rises 1 unit.
So the slope of the line is 1/2 .
-- Look again at the point where the line crosses the y-axis.
At that point, y=1 .
That's the "y-intercept".
Now you have the slope and y-intercept of the line.
The equation of ANY straight line is
y = (slope)x + (y-intercept) .
You know what they both are, so you can easily write
y = 1/2 x + 1 .
Is that one of the choices ?
Yes it is.
Good enough for me.
That must be the correct one.
With no "blah blah blah" required.
A) maximum mean weight of passengers = <span>load limit ÷ number of passengers
</span><span>
maximum mean weight of passengers = 3750 </span>÷ 25 = <span>150lb
</span>B) First, find the z-score:
z = (value - mean) / stdev
= (150 - 199) / 41
= -1.20
We need to find P(z > -1.20) = 1 - P(z < -1.20)
Now, look at a standard normal table to find <span>P(z < -1.20) = 0.11507, therefore:
</span>P(z > -1.20) = 1 - <span>0.11507 = 0.8849
Hence, <span>the probability that the mean weight of 25 randomly selected skiers exceeds 150lb is about 88.5%</span> </span>
C) With only 20 passengers, the new maximum mean weight of passengers = 3750 ÷ 20 = <span>187.5lb
Let's repeat the steps of point B)
z = (187.5 - 199) / 41
= -0.29
P(z > -0.29) = 1 - P(z < -0.29) = 1 - 0.3859 = 0.6141
</span>Hence, <span>the probability that the mean weight of 20 randomly selected skiers exceeds 187.5lb is about 61.4%
D) The mean weight of skiers is 199lb, therefore:
number</span> of passengers = <span>load limit ÷ <span>mean weight of passengers
= 3750 </span></span><span>÷ 199
= 18.8
The new capacity of 20 skiers is safer than 25 skiers, but we cannot consider it safe enough, since the maximum capacity should be of 18 skiers.</span>
Answer:
Step-by-step explanation:
Ok so what you are going to do is set up and equation where 6x-7=4x-23
you will get x= -8 now plug it in
Answer:
-8.05
Step-by-step explanation:
In order to solve for C you first have to subtract 17.6 from both sides.
2c=(6/4)-17.6
6/4 is 1.5
1.5-17.6=-16.1
2c=-16.1
c=-8.05
Answer:
See below. (C*a) + (P*b) = M
Step-by-step explanation:
amount of students = 45
amount of candy per student = 1
amount of popcorn per student = 1
Let "S" be the total amount of students
Let "C" be the total amount of candy
Let "P" be the total amount of popcorn
Let "T" be the total number of snacks
Let "a" be the price per candy
Let "b" be the price per popcorn
Let "M" be the total amount of money spent at the game
The price of the candy is unknown.
The price of the popcorn is unknown.
The total amount of money spent at the game is unknown.
(C*a) + (P*b) = M
I am not sure what you are asking for but, here is what I drew up for you. Hope this helps!