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musickatia [10]
3 years ago
7

Due to concerns about the underinflation of footballs, the National Football League (NFL) created a series of standards that mus

t be met for the weight, length, and the long and short circumferences of each ball. It is stated that the balls are to be inflated to between 12.5 to 13.5 pounds. The pressure output by the ball pump is approximately Normal with a mean of 13 pounds and a standard deviation of 0.25 pounds. At each game, the home team must supply 12 balls to the referee 2 hours and 15 minutes prior to the start of the game for inspection.
(a) What is the probability that a randomly selected ball will not meet the inflation specifications?
Mathematics
1 answer:
marshall27 [118]3 years ago
6 0

Answer: 13.5/12.5

Step-by-step explanation:

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Write and solve an equation to find your final score. Use x to represent your final score.
attashe74 [19]
Let your final bowling score be x. It is 14 pins less than your friends final score. Your friends final bowling score is 105. Then x is 14 pins less than 105.
1 way: This means that 105 is greater than x by 14. Mathematically,
105-x=14,
-x=14-105,
-x=-91,
x=91.
2 way: When you add 14 to x, you'll get 105.
x+14=105,
x=105-14,
x=91.
Answer: Your final score is 91.
8 0
2 years ago
One-third of a storeâs inventory is childrenâs clothing. Two-fifths of its inventory is womenâs clothing. What fraction of the t
Eva8 [605]

Answer:  C. 11/15

Step-by-step explanation:

Given : The fraction of stores inventory is children's clothing=\dfrac{1}{3}

The fraction of stores inventory is women's clothing=\dfrac{2}{5}

Since both events are independent.

Therefore, the fraction of the total inventory is children's or women's clothing =  (Fraction of stores inventory is children's clothing ) + (Fraction of stores inventory is women's clothing )

=\dfrac{1}{3}+\dfrac{2}{5}=\dfrac{5+2(3)}{15}

=\dfrac{11}{15}

∴ The fraction of the total inventory is children's or women's clothing =\dfrac{11}{15}

Hence, the correct answer is C. 11/15 .

6 0
2 years ago
Need help on any number cause it is due tomorrow
Savatey [412]
<span>I think the easiest way to answer all of these is to just go ahead and find the equation of the line first. 

I'm pretty sure that by the time you see this problem, you've learned how to find
the equation of a line that passes through two given points.  You have two points:  (2, 100) and (5, 205).  The equation of the line through them is
[ y = 35x + 30 ].  (That's the answer to #8.)

6).  The initial membership fee ... the cost for walking in the door and signing up,
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7).  The cost per month is $35.  (The slope of the line.)

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6 0
2 years ago
A city starts with a population of 500,000 people in 2007. Its population declines according to the equation
hjlf

Answer: After 7 years the population will be one-half the initial amount.

Step-by-step explanation:

Given: Initial population = 500,000

The population declines according to the equation:

P(t) = 500,000e^{ -0.099t}, where P is the population in t years later.

One-half the initial amount = 0.5 x 500,000

= 250,000

Put P(t)=250,000, we get

250000=500000e^{-0.099t}\\\\\Rightarrow\ \frac{500000e^{-0.099t}}{500000}=\frac{250000}{500000}\\\\\Rightarrow\ e^{-0.099t}=\frac12\\\\\Rightarrow\ -0.099t=\ln \left(\frac{1}{2}\right)\\\\\Rightarrow\ t=\frac{1000\ln \left(2\right)}{99}=\frac{1000(0.69314)}{99}\\\\\Rightarrow\ t=7.00148\approx7

Hence, After 7 years the population will be one-half the initial amount.

5 0
3 years ago
Solve for x. Each figure is a rhombus.
alisha [4.7K]

Answer:

you f yourelf

Step-by-step explanation:

hihhihihih

7 0
3 years ago
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