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omeli [17]
3 years ago
10

Which equation represents a linear function? Equation 1: y = 2x + 1 Equation 2: y2 = 3x + 1 Equation 3: y = 5x5 − 1 Equation 4:

y = 4x4 − 1 Equation 1 Equation 2 Equation 3 Equation 4
Mathematics
2 answers:
Andreyy893 years ago
6 0
Equation 1 represents a linear function.
tankabanditka [31]3 years ago
3 0

Answer:

A: y = 2x + 1

Step-by-step explanation:

Alright, let's see.

Equation 1: y = 2x + 1

Equation 2: y^2 = 3x + 1

Equation 3: y = 5x^5 − 1

Equation 4: y = 4x^4 − 1

The moment exponents are involved, the line on the chart becomes all squiggly, and thus not a function, as they're mildly unpredictable. The only equation here that makes sense is Equation 1 (see above).

Let's say, our input number is ten (10).

y = 2*10 + 1

y = 20 + 1

y = 21

Now, our input is four (4).

y = 2*4 + 1

y = 8 + 1

y = 9

Let's try another equation. Equation 2. Our input will be ten (10).

y^2 = 3*10 + 1

y^2 = 30 + 1

y^2 = 31

What to the second power equals 31?

alright so i went off on a tangent there basically but the answer is A

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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
Mrs. Giuntini’s lawn is triangle shaped with a base of 25 feet and a height of 10 feet. What is the area of Mrs. Giuntini’s lawn
Vedmedyk [2.9K]

area \:  =  \frac{1}{2} bh \\ area \:  =  \frac{1}{2} (25)(10) \\ area =  \frac{1}{2} 250 \\ area = 125 \: feet ^{2}

4 0
2 years ago
Read 2 more answers
What is the quadratic function that is created with roots at 2 and 4 and a vertex at (3, 1)?
Arada [10]
Hello,

y=k*(x-2)(x-4)
and is passing throught (3,1)
==>1=k*(3-2)(3-4)==>k=-1

y=-(x-2)(x-4) is an answer
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3 years ago
Which expressions can be used to find the volume of the pyramid? Select three choices
Rashid [163]

Answer:

options????????

Step-by-step explanation:

...?.

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3 years ago
Help plssssssss<br> - Sorry it’s kinda a bad photo
MrMuchimi

Answer:

5

Step-by-step explanation:

Because if you divide them all you see that in 5 you don't get a whole number

6 0
3 years ago
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