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3 years ago

15

The main printer in the Ivy Tech library can produce an average of 211 copies every hour. For every 25 pages, it costs the colle

ge $0.47 for electricity and supplies. If the library is open from 9AM to 9PM, how much money does the college use on printing each day?

1 answer:

lidiya [134]3 years ago

3 0

Answer:

~48$

Step-by-step explanation:

0.47/25=0.0188

0.0188×211=3.9

12 cause of 9am to pm

12×3.9=47$

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using your knowledge of cross products how would you solve for x in the following pair of equivalent fractions 7 over x equals 2

Naddika [18.5K]

Use cross multiplication so you have

7/x = 2/4

multiple 7 and 4 to get 28 and multiply x and 2 to get 2x and set them equal to each other

so your new equation is 2x=28 and then you just need to solve for x

The answer is x=14

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3 years ago

Write a recursive formula and an explicit formula for the following arithmetic sequence.

xenn [34]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

11, 13, 15, 17, 19, ...

Determining the Recursive formula:

We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.

From the given sequence it is clear that every term can be obtained by adding two to the previous term.

i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2

so

aₙ₊₁ = aₙ+2, for n ≥1

Therefore, a recursive formula is:

aₙ₊₁ = aₙ+2, for n ≥1

Determining the Explicit formula:

Given the sequence

11, 13, 15, 17, 19, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$3-11=2,\:\quad \:15-13=2,\:\quad \:17-15=2,\:\quad \:19-17=2$

The difference between all the adjacent terms is the same and equal to

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also

$a_1=11$

so substituting $d=2$ , $a_1=11$ in the nth terms

$a_n=a_1+\left(n-1\right)d$

$a_n=2\left(n-1\right)+11$

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Therefore, the Explicit formula is:

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4 0

2 years ago

Yet again I still get confused

ryzh [129]

The left side is a half circle.
The area of a circle is PI x r^2

The diameter of the circle would be the height of the rectangle, given as 10 feet.
The radius is 1/2 the diameter, so 5 feet.

The area of half the circle is (3.14 x 5^2) / 2 = 39.25 square feet.

The area of the rectangle is 20 x 10 = 200 square feet.

Total area = 200 + 39.25 = 239.25 square feet.

6 0

3 years ago

A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi s

Margarita [4]

Answer: a. reject the null hypothesis, church attendance and marital status are dependent

Step-by-step explanation:

If the obtained chi-square value is greater than the critical chi square value then we reject the null hypothesis.

Given : A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi square is 23.45 and the critical Chi square is 9.488.

Null hypothesis : There is no relationship between the variables.

Alternative hypothesis : There is a relationship between the variables.

Here we can see that the obtained chi-square (23.45) value is greater than the critical chi square value (9.488) , then we have to reject the null hypothesis.

So the correct answer is reject the null hypothesis, church attendance and marital status are dependent.

3 0

3 years ago

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Temka [501]

Answer:

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Step-by-step explanation:

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7 0

3 years ago