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natka813 [3]
3 years ago
9

Rafael is taking a test that contains a section of 12 true-false questions. how many of the possible groups of answers to these

questions have exactly 8 correct answers of false?
Mathematics
1 answer:
stiv31 [10]3 years ago
5 0
Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.

Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.

This is a combination problem. The formula would be:

12! / (8! x 4!) = 495
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The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. ​(
Vinvika [58]

Answer:

a) P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

b) z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

Step-by-step explanation:

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

X \sim N(106,0.3)  

Where \mu=106 and \sigma=0.3

Part a

We are interested on this probability

P(X>106.11)

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And using this formula we got:

P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)

And we can find this probability with the complement rule:

P(z>0.37)=1-P(z

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score we got:

z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}=  2.431

And if we use the z score we got:

P(z>2.431) =1-P(z

6 0
3 years ago
Write a division problem with as the dividend and 3 as the divisor. Then, find the quotient.
Mekhanik [1.2K]

Step-by-step explanation:

The dividend is the number which is being divided and the divisor is what you divided by. An example is:

12 ÷ 3. The quotient is 4.

4 0
3 years ago
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Which graph represents a function?
Marrrta [24]

The one in the top left corner is the answer

6 0
3 years ago
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generat
Scorpion4ik [409]

Answer:

I would divide 50 by 4 (Because there are usually 4 weather conditions in game) and whichever the number is closest to it would pick that weather condition

8 0
3 years ago
How to do I don't know how to do can u help me pls. <br>Thanks you
melomori [17]
Alright.
So, we have 2185 student in Rose.
Lily School has 307 more students than Rose, so Lily has,
2185 + 307 = 2492 Students in Lily School.
Since question a. is asking you to round off to the nearest ten, your answer to part a is 2490.

For part b. add 2185 and 2490.
2185 + 2490 = 4675 students. 
The questions want you to round to the nearest hundredth, so,
4700 is the answer to part b.
4 0
3 years ago
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