Y= -3x+2 is the answer you are looking for
Yes the first one is a function. The second one with the arrows is not.
Answer:
x = 19, y = -5
Step-by-step explanation:
x + y = 14 => x= 14-y
2x + 4y = 18 => 2(x+2y)=18 => x+2y=9
x+2y=9 => (14 - y) + 2y = 9
14 + y = 9 => y = -5
x + (-5) = 14 => x=19
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:
C
Step-by-step explanation:
What we have to do here is to select a point from the graph
We can select the point (-8,1)
What this simply mean is that when x = -8, y = 1
Now, let us take a look at the second third option
f(-8) will be the cube root of -(-8) , with 1 subtracted from it
The cube root of 8 is simply 2, subtracting 1 from it will yield 1
so that makes the point (-8,1) valid
