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3 years ago

Y=f(x) = -1x find f(x) when x= 0

Mathematics

1 answer:

Marrrta [24]3 years ago

5 0

Answer:

y = 0

Step-by-step explanation:

If anything is multiplied by a 0 the answer is always going to be 0.

1. Plug 0 into x.

-1(0) = 0

Hope this Helped!!!

~Shane

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The bookstore marked some notepads down from $3.00 but still kept the price over $2.00. it sold all of them. the total amount

adoni [48]

The number of notepads sold will be 17 and the price of each notepad is $2.15

Let's assume, the price of each notepad is X and the number of notepads sold is Y

As the price of each notepad is below $3.00 and over $2.00 , that means

X < 3.00 and X > 2.00

As the number of notepads sold is Y, so the total price of all X number of notepads will be : XY

Here it is given that, the total amount of money from the sale of the pads was $36.55

So, XY = 36.55

⇒ Y = $\frac{36.55}{X}$

For X < 3.00 ,

Y > $\frac{36.55}{3.00}$ (when X is max, then Y will be min)

⇒ Y > 12.183

and for X > 2.00,

Y < $\frac{36.55}{2.00}$ (when X is min, then Y will be max)

⇒ Y < 18.275

As here Y is the number of notepads sold, so the value of Y must be a whole number. The minimum value of Y will be 13 and maximum value will be 18.

Now we will use hit and trial method

If Y= 13 , then X = $\frac{36.55}{13} = 2.81153846....$

If Y= 14 , then X = $\frac{36.55}{14} = 2.6107142...$

If Y= 15 , then X = $\frac{36.55}{15} = 2.43666666...$

If Y= 16 , then X = $\frac{36.55}{16} = 2.2843..$

If Y= 17 , then X = $\frac{36.55}{17} = 2.15$

and if Y = 18 , then X = $\frac{36.55}{18} = 2.0305555...$

So, for getting XY= 36.55 exactly, the value of X= 2.15 and the value of Y=17.

So, the number of notepads sold will be 17 and the price of each notepad is $2.15

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3 years ago

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Sphinxa [80]

Answer:

Step-by-step explanation:

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Pay your bills: In a large sample of customer accounts, a utility company determined that the average number of days between whe

blagie [28]

Answer:

(26.32; 57.68)

See explanation below.

Step-by-step explanation:

Assuming the following question:

Pay your bills:

In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 42 with a standard deviation of 8 days. Assume the data to be approximately bell-shaped.

Between what two values will approximately 95% of the numbers of days be?

Solution to the problem

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".

Let X the random variable that represent the average number of days between when a bill was sent out and when the payment of a population, and for this case we know the distribution for X is given by:

$X \sim N(42,8)$

Where $\mu=42$ and $\sigma=8$

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

$P(X>a)=0.975$ (a)

$P(X$ (b)

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

As we can see on the figure attached the z value that satisfy the condition with 0.025 of the area on the left and 0.975 of the area on the right it's z=-1.96. On this case P(Z<-1.96)=0.025 and P(z>-1.96)=0.975

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:

$z=-1.96$

And if we solve for a we got

$a=42 -1.96*8=26.32$

So the value of height that separates the bottom 2.5% of data from the top 97.5% is 26.32.

For the other value since the distirbution is symmetric the other value that accumulates 0.975 of the area on the left and 0.025 on the right is z=1.96 and similarly:

$z=1.96$

And if we solve for a we got

$a=42 +1.96*8=57.68$

So the answer for this case would be (26.32; 57.68)

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