Answer:
C
Step-by-step explanation:
The line passes through the point (2, -1/2) and has a slope of 3.
We can use the point-slope form, given by:
Where (x₁, y₁) is a point, and m is the slope.
Let (2, -1/2) be (x₁, y₁). We will substitute 3 for m. Therefore:
Simplify:
Therefore, our answer is C.
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>
Square root 39 = 6.24
The two consecutive numbers would be between 6 and 7
Hello! So, the problem is saying that 200 vitamins cost $8.75, and that is what we know. We also know that we're going to be looking at the cost of 500 vitamins, but we don't know. The numbers presented can be put into a proportion, and that can help solve the problem. 200 to 8.75, and 500 to a number we don't know. I'm no sure if you familiar with the how to set up a proportion, but it's saying this number over this other number (which is a fraction) equals another fraction. Make sure that your numbers always match up, so your not saying vitamins over money equal money over vitamins. Use cross products, divide, and then you'll have your answer. For this problem, since yours solving for money, make sure to have two decimal points and a dollar sign. I hoped this helped, if you have any questions shoot me a question or message. Good luck!
