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2 years ago

an aircraft flew at a speed of 900mph. what distance will it fly in 2/5 hours, 13/15 hours, 7/18 hours?

Mathematics

1 answer:

Ray Of Light [21]2 years ago

7 0

2/5 = 360

Two fifths written as a fraction is 2/5. You can also write it as a decimal by simply dividing 2 by 5 which is 0.40.

If you multiply 0.40 with 900 you will see that you will end up with the same answer as above.

You may also find it useful to know that if you multiply 0.40 with 100 you get 40.00. Which means that our answer of 360.00 is 40.00 percent of 900.

13/15 = 780

7/18 = 350

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3 years ago

The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

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P(X $\geq$ 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N( $\mu=73,\sigma^{2}=3^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 73

$\sigma$ = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X $\geq$ 74)

P(X $\geq$ 74) = P( $\frac{X-\mu}{\sigma}$ $\geq$ $\frac{74-73}{3}$ ) = P(Z $\geq$ 0.33) = 1 - P(Z < 0.33)

= 1 - 0.62930 = 0.3707

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

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