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Oksana_A [137]
3 years ago
10

Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclis

t is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the second cyclist bike in 45 minutes?
Mathematics
1 answer:
koban [17]3 years ago
6 0

Answer:

The distance covered by the second cyclist in 45 minutes is (3/4·b + 9) miles

Step-by-step explanation:

The given parameters are;

The distance between the two cyclist when they begin biking away from each other = 7 miles

The first cyclist's speed = 12 miles per hour

The second cyclist's speed = 12 + b miles per hour

Therefore, we have;

The equation for distance covered, d = Speed × Time

The distance covered by the second cyclist in 45 minutes, d_{45 \ minutes} is given as follows;

45 minutes = 3/4 hour

d_{45 \ minutes}  = (12 + b) × 3/4 = (3/4·b + 9) miles

The distance covered by the second cyclist in 45 minutes = (3/4·b + 9) miles.

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Formula:

y = p\% \times x
p = 37\% \div 100 = 0.37
y = 0.37 \times 1500 = 555
so there are 555 woman working.
1500 - 555 = 945
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Can someone please help me help me pls
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Answer:

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

Step-by-step explanation:

Previous concepts  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem  

Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:  

X \sim N(10,2)  

Where \mu=10 and \sigma=2  

We are interested on this probability  

P(X>8)  

And the best way to solve this problem is using the normal standard distribution and the z score given by:  

z=\frac{x-\mu}{\sigma}  

If we apply this formula to our probability we got this:  

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

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