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SSSSS [86.1K]
3 years ago
6

Micah found the least common multiple of 8 and 12. His work is shown below.

Mathematics
2 answers:
Bad White [126]3 years ago
8 0

Answer:

Micah selected a multiple that is not the least of the common multiples.

Step-by-step explanation:

12 is not the lowest multiple of 12 , 24 is the lowest common multiple

Rudiy273 years ago
7 0

Answer:

Micah listed some values that were not multiples.

Step-by-step explanation:

had this qustion on a quiz and got it right

You might be interested in
What is the value of the expression below
Brrunno [24]
Hello :
625^1/4=((625)^1/2)^1/2 =√(√625) = √25 =5     because : √625 = 25 
4 0
3 years ago
It is known that the life of a particular auto transmission follows a normal distribution with mean 72,000 miles and standard de
scoray [572]

Answer:

a) P(X

P(z

b) P(X>65000)=P(\frac{X-\mu}{\sigma}>\frac{65000-\mu}{\sigma})=P(Z>\frac{65000-72000}{12000})=P(z>-0.583)

P(z>-0.583)=1-P(Z

c) P(X>100000)=P(\frac{X-\mu}{\sigma}>\frac{100000-\mu}{\sigma})=P(Z>\frac{100000-72000}{12000})=P(z>2.33)

P(z>2.33)=1-P(Z

Sicne this probability just represent 1% of the data we can consider this value as unusual.

d) z=1.28

And if we solve for a we got

a=72000 +1.28*12000=87360

So the value of height that separates the bottom 90% of data from the top 10% is 87360.  

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".  

Part a

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

X \sim N(72000,12000)  

Where \mu=72000 and \sigma=12000

We are interested on this probability

P(X

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

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

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

P(X

And we can find this probability using excel or the normal standard table and we got:

P(z

Part b

P(X>65000)

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

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

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

P(X>65000)=P(\frac{X-\mu}{\sigma}>\frac{65000-\mu}{\sigma})=P(Z>\frac{65000-72000}{12000})=P(z>-0.583)

And we can find this probability using the complement rule and excel or the normal standard table and we got:

P(z>-0.583)=1-P(Z

Part c

P(X>100000)

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

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

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

P(X>100000)=P(\frac{X-\mu}{\sigma}>\frac{100000-\mu}{\sigma})=P(Z>\frac{100000-72000}{12000})=P(z>2.33)

And we can find this probability using the complement rule and excel or the normal standard table and we got:

P(z>2.33)=1-P(Z

Sicne this probability just represent 1% of the data we can consider this value as unusual.

Part d

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.1   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.28

And if we solve for a we got

a=72000 +1.28*12000=87360

So the value of height that separates the bottom 90% of data from the top 10% is 87360.  

5 0
3 years ago
Look at photo please
amm1812

Answer:

A

Step-by-step explanation:

combining 10² and 10² makes 10⁴.

combining 1.5 and 1 makes 2.5.

so you have 10⁴ x 2.5, which is the same as the part on the other side of the equals symbol, making the equation true. All the other equations are false.

5 0
3 years ago
2
GaryK [48]

Answer:

B_2=4\pi r^2

see the explanation

Step-by-step explanation:

we know that

The area of the base of a cylinder is given by the formula

B=\pi r^{2}

where

r is the radius of the circular base

If the radius is doubled

then

r=2r

The new base area is

B_2=\pi (2r)^{2}

B_2=4\pi r^2

so

B_2=4B

therefore

The new area of the base is 4 times the area of the original base

7 0
3 years ago
Solve for m. m=-(4+m)+2
pishuonlain [190]

Answer:

m= -1

Step-by-step explanation:

Order summands

2

Apply negation to the value inside parentheses

3

Add the numbers

4

Add 

mm

 to both sides of the equation

5

Simplify

3 0
2 years ago
Read 2 more answers
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