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FromTheMoon [43]
3 years ago
12

If Marley multiples her age by 7 then divides the product by 4, she produces the age of her dog in years. If her dog is 14 years

old, how old is Marley?

Mathematics
1 answer:
marin [14]3 years ago
7 0
Marleys age is 8 years old.

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Traffic flow is traditionally modeled as a Poisson distribution.A traffic engineer monitors the traffic flowing through an inter
babymother [125]

Answer:

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

Step-by-step explanation:

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

In this problem, we have that:

A traffic engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. So in 2 minutes, 12 cars are expected to flow through the intersection.

If 75% of vehiclesare from state, what is the probability that during next 2 min exactly 5 cars passing an intersection are from state?

We want to know how many of these cars are from state. In 2 minutes, 0.75*12 = 9 cars from the state are expected to pass the intersection, so \mu = 9.

We want to find P(X = 2).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 5) = \frac{e^{-9}*9^{5}}{(5)!} = 0.0607

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

7 0
3 years ago
The first one to get it CORRECT first will give brainliest plus 11 points :)
Vanyuwa [196]

Answer: 54

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable
alukav5142 [94]

Answer:

An ANOVA test

Step-by-step explanation:

You will use the ANOVA test, which is a test that compares the means of more than 2 samples.  Since the teacher used 3 test groups, she would have to use this test if she wanted to do a hypothesis test to determine if the means are equal.  

*This test only tells us if the means are equal, it won't say which is greater than the other.  You would have to do 3 individual hypothesis tests comparing 2 means at a time in order to determine that.

8 0
3 years ago
Find the new amount. explain <br><br><br>200 books; 75% decrease <br><br>160 bananas; 20% decrease
prohojiy [21]

Answer:

75% of 200 = 50; 20% of 160 = 128

Step-by-step explanation:

200 (0.75) = 150

200 - 150 = 50

160 (0.20) = 32

160 - 32 = 128

8 0
3 years ago
A school wishes to accept 2000 students for their freshman class, and they expect 20,000 applications. In order to make their ad
vovangra [49]

Answer:

456

Step-by-step explanation:

Let X be the SATscore scored by the students

Given that X is normal (1000,200)

By converting into standard normal variate we can say that

z=\frac{x-1000}{200} is N(0,1)

To find the top 10% we consider the 90th percentile for z score

Z 90th percentile = 1.28

X= 200+1.28(200)\\= 200+256\\=456

i.e. only students who scored 456 or above only should be considered.

3 0
3 years ago
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