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Arturiano [62]
3 years ago
9

Jamie is conducting inventory at a public library, so they have to verify that each item from the catalog is in its correct loca

tion. At any given time, 97%, percent of the items are checked into the library (not checked out). Let B be the number of items that Jamie verifies to reach the first item that is checked out. Assume that each item's checked out status is independent.
Find the mean and standard deviation of B.
Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

Mean: 33.3

SD: 32.8

Step-by-step explanation:

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Choose the equation below that represents the line passing through the point (1, -4) with a slope of 1/2
tatiyna

For this case we have that by definition, the line equation of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have:

m = \frac {1} {2}

Thus, the equation is of the form:

y = \frac {1} {2} x + b

We substitute the given point and find "b":

-4 = \frac {1} {2} (1) + b\\-4 = \frac {1} {2} + b\\-4- \frac {1} {2} = b\\b = - \frac {9} {2}

Finally, the equation is of the form:

y = \frac {1} {2} x- \frac {9} {2}

Answer:

y = \frac {1} {2} x- \frac {9} {2}

6 0
3 years ago
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Oduvanchick [21]

Answer:

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Step-by-step explanation:

-1/2 is the slope of the line

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down means neg

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3 years ago
Which function represents a reflection of f(x) = 3/8 (4)x across the y-axis?
almond37 [142]

Answer:

D is correct option.g(x)=\frac{3}{8}\cdot (4)^{-x}

Step-by-step explanation:

We are given a function f(x)=\frac{3}{8}\cdot (4)^x

We need to find new function reflection of f(x) across the y-axis.

When function reflection across y-axis x\rightarrow -x

\text{Reflection across y-axis}f(x)\rightarrow f(-x)

Therefore, f(-x)=\frac{3}{8}\cdot (4)^{-x}

New function, g(x)=f(-x)

g(x)=\frac{3}{8}\cdot (4)^{-x}

Thus, D is correct option.


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Answer:

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Step-by-step explanation:

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The inverse is f^-1(x)=5+x/2
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