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nadezda [96]
3 years ago
10

The relationship between time and the distance remaining on a 3-mile walk for someone walking at a steady rate of 2 miles per ho

ur
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0
Let d be the remaining distance.
Let t be the remaining time.

The standard distance equation is:
d = rt

We are given the rate as 2, so:
d = 2t

At the start of the walk, the remaining distance is 3 miles.
The remaining time is 1.5 hours.

At the end of the walk, the remaining distance is 0 miles.
The remaining time is 0 hours.

A graph of the distance and time would be a continuous, solid line. That's because the walker will be at every distance between 3 and 0 and every time between 1.5 and 0.

Answer:
The graph of this would be a solid line
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The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d
k0ka [10]
Part A:

From the central limit theorem, since the number of samples is large enough (up to 30), the mean of the the mean of the average number of moths in 30 traps is 0.6.



Part B:

The standard deviation is given by the population deviation divided by the square root of the sample size.

standard \ deviation= \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{30}} = \frac{0.4}{5.477} =0.073



Part C:

The probability that an approximately normally distributed data with a mean, μ, and the standard deviation, σ, with a sample size of n is greater than a number, x, given by

P(X\ \textgreater \ x)=1-P(X\ \textless \ x) \\  \\ =1-P\left(z\ \textless \  \frac{x-\mu}{\sigma/\sqrt{n}} \right)

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that <span>the average number of moths in 30 traps is greater than 0.7</span> given by:

P(X\ \textgreater \ 0.7)=1-P(X\ \textless \ 0.7) \\ \\ =1-P\left(z\ \textless \ \frac{0.7-0.6}{0.073} \right)=1-P(z\ \textless \ 1.369) \\  \\ =1-0.91455=\bold{0.0855}
7 0
4 years ago
3х + 2y = 14<br> 3х - 2y = 10<br> Solve using elimination pls help me guys
AURORKA [14]

Step-by-step explanation:

3х + 2y = 14

3х - 2y = 10

6x=24

x=4

3×4+2y=14

12+2y=14

2y=14-12

2y=2

y=1

8 0
3 years ago
Which answer best describes the shape of this distribution?
LUCKY_DIMON [66]

Answer:

I'm not 100% sure but it might be b

Step-by-step explanation:

3 0
3 years ago
Lolo typed 1125 words in 15 minutes. Let w represent the number of words typed each minute. If Lolo the same number of words eac
Andreas93 [3]

She would type 15 words a minute. you divide 1125 by 15 and you get 15

answer:15

hopes this helps

7 0
4 years ago
Read 2 more answers
Professor Mallory determines the distribution of students on five variables in her target population. She then uses nonprobabili
rodikova [14]

The sampling strategy she use was a quota.

Quotas are meant to establish boundaries on the number of specific goods that are allowed to be lawfully imported into the country throughout a distinct period of time. In that, quotas are similar embargoes, except quotas don´t have explicit political purposes as embargoes do.

A Fixed quota would be a maximum amount not to be surpassed, while a tariff rate surcharge allows it, but with a higher duty.

7 0
3 years ago
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