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Brut [27]
3 years ago
5

If Q is between P and R, then PQ+QR=PR what is the propety

Mathematics
1 answer:
Marina86 [1]3 years ago
8 0

Answer:

Segment Addition Postulate

Step-by-step explanation:

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A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8
svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0
3 years ago
C=4.62 a =2.2 what is c
DaniilM [7]

Answer: if your question was C-A then it would be 2.42

Step-by-step explanation:

4.62-2.2

7 0
3 years ago
What is the SURFACE AREA of the cube?
tangare [24]

Answer:

The surface area is 150.

Step-by-step explanation:

To do this you need to find the area of one of the faces.

5*5=25

Then you should know that there are 6 faces.

25*6=150

8 0
3 years ago
If a gambler places a bet on the number 7 in​ roulette, he or she has a​ 1/38 probability of winning.
SCORPION-xisa [38]
A) The mean would be 1.842 and the standard deviation would be 1.339.
b) It would not be unusually low.

Explanation
a) This can be modeled as a binomial distribution, since there are two outcomes (7 or not 7), the events are independent (getting a 7 on one spin does not influence the chance of a 7 on the next spin) and there are a fixed number of trials (70).  In a binomial distribution, the mean is given by n*p, where n is the number of trials and p is the probability.

μ=n*p=70*(1/38) = 1.842.

The standard deviation of a binomial distribution is given by
σ=√(n*p*(1-p))=√(70(1/38)(37/38)=1.339.

b) To determine if this is unusually low, we find the probability:
_nC_k\times p^n\times (1-p)^{k-n}
\\
\\=_{70}C_0\times (\frac{1}{38})^0\times \frac{37}{38}^{70}
\\
\\=0.15

Since this is not below 0.05, we do not consider this unusual.
3 0
3 years ago
Who ran further 8/10 of a mile or 80/100
True [87]
8/10 and 80/100 are the same if simplified. So the answer would be the same.
5 0
3 years ago
Read 2 more answers
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