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3 years ago

A stack of 500 pieces of paper is 2.375 inches tall. Type complete answers to the questions below in the box.

Mathematics

1 answer:

grigory [225]3 years ago

7 0

Answer:

1. Diego is incorrect because 2.375 divided by 0.025 does not equal 500.

2. 2.375 / 500 = 0.00475 inches.

Step-by-step explanation:

1. We take the thickness of the stack and divide it by the thickness of each piece of paper to get how many pieces of paper are in the stack. In this case, Diego's guess indicates that there are only 95 pieces of paper in the stack.

2. The proper formula for this would question would be 2.375 / x = 500.

x represents the thickness of each piece of paper. We can solve for x by multiplying both sides by x to get 2.375 = 500x then we divide both sides by 500 to isolate x.

2.375 / 500 = x

0.00475 = x

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When dealing with the number of occurrences of an event over a specified interval of time or space and when the occurrence or no

jeyben [28]

Answer:

POISSON DISTRIBUTION

Step-by-step explanation:

When dealing with the number of occurrences of an event over a specified interval of time or space, the poisson distribution is often useful.

Poisson distribution is applicable if:

The probability of the occurrence of the event is the same for any two intervals of equal length.

The occurrence or nonoccurrence of the event in any interval is independent of the occurrence or nonoccurrence in any other interval.

The probability that two or more events will occur in an interval approaches zero as the interval becomes smaller.

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3 years ago

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mr_godi [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Reasoning Graph the set of ordered pairs (0, 2). (1.4), (2,6). (3.8). Determine whether the relationship is a linear function Ex

polet [3.4K]

Answer:

No, it does not. See below.

Step-by-step explanation:

Lets find out the linear equation that passes trough (-2, 0) and (0, -6).

We know every linear equation has the form: y = mx + b

Where m is the slope on the curve and b the independent term.

We know that, given 2 points (x1,y1) and (x2,y2) we can find the slope m as:

m = (y2-y1)/(x2-x1)

In our case lets replace (x1,y1) and (x2,y2) by (-2, 0) and (0, -6) (notice it could be done in the inverse sense where (-2, 0) is (x2,y2) and (0, -6) is (x1,y1) ). So, our slope is:

m = [-6 - 0] / [0 - (-2)]

m = -6/2 = -3

So, we have a downward linear function with slope -3, this is:

y = -3x + b

Now, for finding b just replace any of the 2 points given in the equation. Lets replace (-2, 0):

0 = -3(-2) + b

0 = 6 + b

Subtracting 6 in both sides:

-6 = b

So, our independent term is -6 and the function is:

y = -3x - 6

Now lets see if this linear eqution passes trough (2,6). If it does, we can replace the values on the equation. Replacing x by 2:

y = -3(2) - 6 = = -6 - 6 = - 12

So, in our equation, we x is 2 y is -12, and not 6 as in the point (2,6). So, our equation does not passes trough (2,6)

5 0

3 years ago

The product of n and 14

professor190 [17]

Answer:

14n

Step-by-step explanation:

You multiply 14 by n, which is 14n.

8 0

3 years ago

What is the average rate of change for this exponential function for the

Bingel [31]

Answer:

Option (D).

Step-by-step explanation:

In the figure attached,

An exponential function has been graphed with certain points marked on it.

To find the average rate of change for this function between the given interval we will use the formula,

Average rate of change = $\frac{f(x_2)-f(x_1)}{y_2-y_1}$

where $f(x_2)$ = value of the function at x = 4

$f(x_1)$ = value of the function at x = 2

By substituting these values in the formula,

Average rate of change = $\frac{16-4}{4-2}$

= $\frac{12}{2}$

= 6

Therefore, Option D will be the answer.

7 0

3 years ago