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:
The size of the cardboard should be 
Step-by-step explanation:
The diagram for this question is shown on the first uploaded image
The volume of the box is 
The length and the Width of the card is
L = W = Z
From the question we are told that 7 in squares were cut from each corner
So the length and the width of the box would be
L = W = (Z - 7)
And the height would be H = 7 in
Mathematically the volume of the box can be represented as
So the Volume would be
Substituting values
=> 
<h2>Greetings!</h2><h3>When multiplying two roots together, you can rearrange the equation so that the roots are next to each other and so are the whole numbers:</h3>
2 x 3 x 
x 
<h3>This means that 2 x 3 is simple, = 6,</h3><h3>But when multiplying
you simply multply the two numbers and put them in a square root:</h3>
= 
<h3>But this can be square rooted to 6, which then means that the equation is now:</h3>
2 x 3 x 6 = 36
<h3>So the simplified form is 36.</h3>
<h2>Hope this helps!</h2>
Answer:
y = 2x - 3
Yes, your answer is correct.
Step-by-step explanation:
First, find the slope of the two points by using the slope formula:
y2 - y1
m = -------------
x2 - x1
13 - 5
m = -------------
8 - 4
8
m = ------- = 2
4
To find the y-intercept, plug in values into the slope-intercept formula:
y = mx + b
Where m = slope and b= y-intercept. Use any one of the points. I'll be using (4,5):
5 = (2) (4) + b
5 = 8 + b
-3 = b
b = -3
So, putting everything into the slope intercept formula:
y = 2x - 3
