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Nataly [62]
4 years ago
6

Tug of War Activity

Mathematics
1 answer:
guapka [62]4 years ago
6 0

Answer:

Round 3 the grandmas

Step-by-step explanation:

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An airliner carries 350 passengers and has doors with ah height of 72 in. Heights of men are normally distributed with a mean of
BaLLatris [955]

Answer:

P ( Z < 72 ) = 0.8577     or   P ( Z < 72 ) = 85.77 %

Step-by-step explanation:

We know:

-A normal distribution

-Mean      μ =   69.0   in

-Standard deviation      σ  = 2.8   in

- Population    n  =  350

And doors height   72 in

If passengers will pass through the door without bending that means he must be under 72 in tall, therefore we are looking for the probability of men under 72 in, to find such probability we compute the value of Z according to

Z  =  ( X - μ ) / σ     ⇒             Z  =  ( 72 - 69 ) / 2.8

Z  = 1.07

Now with this value we look the Z tables, to find a value of: 0.8577

So the probability of select a men and that he can fit through the door is

P ( Z < 72 ) = 0.8577  or    P ( Z < 72 ) =  85.77 %

3 0
4 years ago
Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, t
hoa [83]

Answer:

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

Step-by-step explanation:

Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.

Together, the classes sold 60 items, so

x + y = 60

Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.

Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.

Together, the classes  earned $88.20 for their school, so

1.55x + 1.40y = 88.20.

You get the system of two equations:

\left\{\begin{array}{l}x+y=60\\ \\1.55x+1.40y=88.20\end{array}\right.

From the first equation:

x=60-y

Substitute it into the second equation:

1.55(60-y)+1.40y=88.20\\ \\93-1.55y+1.4y=88.2\\ \\-0.15y=88.2-93\\ \\-0.15y=-4.8\\ \\0.15y=4.8\\ \\15y=480\\ \\y=32\\ \\x=60-32=28

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

8 0
3 years ago
Find the Area Please​
GuDViN [60]
12x8=96
This should be the correct answer
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3 years ago
SAT scores have been found to predict 36% of the variance in college
77julia77 [94]
A 0.18 is the difference between SAT and college GPA
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3 years ago
What is 1/5 expressed as a percent?
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1/5 is expressed 20%
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3 years ago
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