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3 years ago

14

Anna drives 15,500 miles a year for work. On average, how many miles does she drive a week?

2 answers:

sergiy2304 [10]3 years ago

6 0

298 miles. there is a total of 52 weeks a year so divide 15,500 by 52 to get miles per week

I am Lyosha [343]3 years ago

3 0

Answer:

206 miles

Step-by-step explanation:

People generally work 5x a week so.. (15000 / 52)

52 indicates the amount of weeks in a year.

In total, that is 288.4 miles a week. Now, we're assuming she doesn't work on the weekend so we divide 288.4 by 7. That is 41.2 miles a day. Now, you times 41.2 by 5 and your answer should be 206 miles a week.

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Read 2 more answers

A random variable X is uniformly distributed over the interval (48, 96).

Katen [24]

Answer:

a) $P(50 < X$

b) $P(X$

c) $P(X>90)=1- \frac{90-48}{48} = 1-0.875 = 0.125$

d) $P(X$

And using the CDF we got:

$P(X$

$P(X>80)$

And using the CDF and the complement rule we got:

$P(X>80)=1- \frac{80-48}{48} = 1-0.667 = 0.333$

So then the probability required would be:

P(X < 60 or X > 80) = 0.25+0.333= 0.583

Step-by-step explanation:

For this case we define the random variable of interest X, and we know the distribution given by:

$X \sim Unif (a= 48, b=96)$

The density function is given by:

$f(x) = \frac{1}{96-48} = \frac{1}{48} , 48 \leq X \leq 96$

And the cumulative distribution function is given by:

$F(x) = \frac{x-48}{96-48} , 48 \leq X \leq 96$

Part a

We want this probability:

$P(50 < X$

And we can find this probability with this difference:

$P(50 < X$

And replacing we got:

$P(50 < X$

Part b

We want this probability:

$P(X$

And using the CDF we got:

$P(X$

Part c

We want this probability:

$P(X>90)$

And using the CDF and the complement rule we got:

$P(X>90)=1- \frac{90-48}{48} = 1-0.875 = 0.125$

Part d

$P(X$

And using the CDF we got:

$P(X$

$P(X>80)$

And using the CDF and the complement rule we got:

$P(X>80)=1- \frac{80-48}{48} = 1-0.667 = 0.333$

So then the probability required would be:

P(X < 60 or X > 80) = 0.25+0.333= 0.583

8 0

3 years ago