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3 years ago

Need help with this

Mathematics

1 answer:

defon3 years ago

4 0

Let n be the larger integer and n-2 be the smaller integer.

n² - (n - 2)²

= n² - (n - 2)(n - 2)

= n² - (n² - 4n - 4)

= n² - n² + 4n + 4

= 4n + 4

= 4(n + 1)

No matter what value n is, it will always be a multiple of 4.

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Kevin worked 62 hours last week if Kevin makes $18 per hour for regular pay what was his gross pay for the week including overti

Travka [436]

1314 is the answer, hope it helped

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3 years ago

Chinedu sat down to do his homework, which included 30 math problems. He solved 2 problems each minute. Let f(n) be the number o

vova2212 [387]

Answer:

It would be an arithmetic sequence.

Step-by-step explanation:

This is because during each minute, he does another 2 problems. Or, in other words +2 each minute.

This is the result of the sequence during each minute:

(Problems Left): <em>30, 28, 26, 24, 22... 0</em>

Time (Minutes) --->

If it was instead a geometric equation, it would go by a multiple, such as the number 2. Or, ×2 each minute.

During the first minute, he learns 2 problems. But then as each minutes passes it turns into 4, then 8, and etc..

This is the result of the pretend sequence during each minute: (Problems Left): <em>30, 28, 24, 16, 0</em>

Time (Minutes) --->

The formula would be for this equation would follow

an = a1 + (n-1)d

an is your result.

a1 is the first number you plug in

(n-1) is just there, don't mind it (aka: the term position).

and d is the rate.

So just plug them in from your equation, and you would get this:

an = 30(n-1)2

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3 years ago

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sveta [45]

D. Line sw
Skew means they aren’t parallel, nor do they intersect.

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3 years ago

Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a certain mountain, the hourly rates have a

notsponge [240]

Answer:

$z=0.842$

And if we solve for a we got

$\mu=13.16 +0.842*3=15.69$

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 hourly rates of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,3)$

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

$P(X>13.16)=0.20$ (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 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20

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

$P(X$