MATHEMATICS COLLEGE

A quadrilateral is _____ a trapezoid. (Always, sometimes, never)

Answers

Answer 1
Answer:

Answer:

sometimes

hope it helps.
Answer 2
Answer:

Answer:

sometimes

Step-by-step explanation:

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Solve the following equation for X.
2x - 18y = - 8

Answers

Answer:

x = 9y - 4

Step-by-step explanation:

2x - 18y = - 8 /: 2

x - 9y = - 4

x = 9y - 4

Suppose that a medical test has a 92% chance of detecting a disease if the person has it (i.e., 92% sensi- tivity) and a 94% chance of correctly indicating that the disease is absent if the person really does not have the disease (i.e., 94% specificity). Suppose 10% of the popu- lation has the disease. (a) What is the probability that a randomly chosen per- son will test positive

Answers

Answer:

14.6% probability that a randomly chosen person will test positive

Step-by-step explanation:

We have these following probabilities:

10% probability that a randomly selected person has the disease.

If a person has the disease, 92% probability of testing positive.

100-10 = 90% probability that a person does not have the disease.

If a person does not have the disease, 100-94 = 6% probability of testing positive.

What is the probability that a randomly chosen person will test positive

92% of 10% or 6% of 90%.

Then

p = 0.92*0.1 + 0.06*0.9 = 0.146

14.6% probability that a randomly chosen person will test positive

What is .5 ( 5 repeating) in a fraction ?

Answers

Hey there! I'm happy to help!

Let's say that our fraction is x.

x=0.5555555...

Let's get rid of the repeating stuff. If you multiplied x by 10, the fraction would be equal to 5.5555555.....

x=0.55555555....

10x=5.5555555.....

What if we subtracted the first equation from the second? Then all of the repeating stuff would be gone!

9x=5

We divide both sides by 9.

x=5/9.

Have a wonderful day! :D

Help pls algebra I nood help pls

Answers

Answer:

I think it's c

Step-by-step explanation:

4 times 3x equals 12x and 4 times 4x is 16x
It’s c have an nice day

I need a reason how sort from least to greatest I don’t understand

Answers

Answer:

Step-by-step explanation:

√(9) < 3.758375839203... < √(16) \n\n(√(20) )/(4) =\sqrt{(20)/(16) }=√(1.25) \n\n3√(2) =√(18) \n\n\n1.25 < 9 < 16 < 18 < 22\n\n\n\Rightarrow\ \ (√(20) )/(4) < 3.758375839203... < 3√(2) < √(22)

A survey among students at a certain university revealed that the number of hours spent studying the week before final exams was approximately normally distributed with mean 25 and standard deviation 6. What proportion of students studied between 25 and 34 hours

Answers

Answer:

P(25<X<34)=P((25-\mu)/(\sigma)<(X-\mu)/(\sigma)<(34-\mu)/(\sigma))=P((25-25)/(6)<Z<(34-25)/(6))=P(0<z<1.5)

And we can find this probability with this difference:

P(0<z<1.5)=P(z<1.5)-P(z<0)

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(0<z<1.5)=P(z<1.5)-P(z<0)=0.933-0.5=0.433

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 hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:

X \sim N(25,6)  

Where \mu=25 and \sigma=6

We are interested on this probability

P(25<X<34)

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

z=(x-\mu)/(\sigma)

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

P(25<X<34)=P((25-\mu)/(\sigma)<(X-\mu)/(\sigma)<(34-\mu)/(\sigma))=P((25-25)/(6)<Z<(34-25)/(6))=P(0<z<1.5)

And we can find this probability with this difference:

P(0<z<1.5)=P(z<1.5)-P(z<0)

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(0<z<1.5)=P(z<1.5)-P(z<0)=0.933-0.5=0.433
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