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choli [55]
3 years ago
11

A secretary is making an inventory of office supplies. She finds 12 full boxes of blue pens which have 45 pens in each box. How

many pens will she
indicate on the inventory?
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
6 0

Answer:

540 pens

Step-by-step explanation:

Multiply 12 by 45

lapo4ka [179]3 years ago
3 0

<u>Answer: </u>

A secretary is making an inventory of office supplies. Secretary will indicate 540 pens in inventory.

<u>Solution: </u>

From question, given that

Number of boxes full of blue pen in inventory = 12

Number of pen in 1 box = 45.

Secretary needs to find number of pens in inventory.

Number of pen in 1 box = 45

So number of pens in 12 box = number of pen in 1 box \times 12

45 x 12 = 540

Hence secretary will indicate 540 pens in inventory.

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Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
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The mean and the standard deviation are given, respectively, by:

\mu = 502, \sigma = 115

The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:

X = 590:

Z = \frac{X - \mu}{\sigma}

Z = \frac{590 - 502}{115}

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

Z = \frac{X - \mu}{\sigma}

Z = \frac{400 - 502}{115}

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

More can be learned about the normal distribution at brainly.com/question/27643290

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What is the end behavior of the graph of
lutik1710 [3]

The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.

<h3>What is the end behavior about?</h3>

The end behavior of a function f tells us that the way that the graph function behaves at the "ends" of the x-axis.

Note that the end behavior of a function tells the trend of the graph and in this graph, f(x) -----> +∞ as x----> -∞  (as the value of x decreases the value of f(x) increases) and  f(x) -----> -∞ as x----> +∞ (as the value of x increases the value of f(x) decreases).

Therefore, The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.

See full question below

What is the end behavior of the graph of f(x) = -0.25x2 - 2x + 1?

A) As x increases, f(x) increases. As x decreases, f(x) decreases.

B) As x increases, f(x) decreases. As x decreases, f(x) decreases.

C) As x increases, f(x) increases. As x decreases, f(x) increases.

D) As x increases, f(x) decreases. As x decreases, f(x) increases

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