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kari74 [83]
3 years ago
6

The probability distribution histogram shows the number of days a book is checked out of a library. Find P(3 ≤ X < 12)

Mathematics
1 answer:
grin007 [14]3 years ago
4 0
0.4 is your answer your welcome
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What is the value of 3 to the 2 power +5 times+25?
tester [92]

Answer:


Step-by-step explanation:

3(3)^2 + 5(3) + 25

3*3 = 9, 5*3 = 15

3(9) + 15 + 25

27 + 15 + 25 = 67

7 0
3 years ago
Task Directions: Ms. Chang's class decides to order posters that advertise a walkathon to raise money for
mamaluj [8]

Answer:

a.

Clear Prints = 2p

Sue = 15 + 0.5p

b.  10 posters

c.  See Below

d.  Clear Prints

e. See Below

Step-by-step explanation:

<u>Complete Question:</u>

<em>Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies.Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster.</em>

<em>a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.</em>

<em>b. For what number of posters is the cost the same for both companies? Explain.</em>

<em>c. Which company do you think the class should buy posters from? Explain your reasoning.</em>

<em>d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from? </em>

<em>e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?</em>

<em />

<u>Solution:</u>

a.

Let the number of posters be "p" so

Clear Print would take 2 * p or "2p"

Sue would take a fixed cost of $15 and 0.5p, so "15 + 0.5p"

b.

We want cost of both to be same. So we can equate:

2p=15 + 0.5p

Now, using algebra, we can solve for "p", the number at which both of the printers will cost same. Lets do this:

2p=15 + 0.5p\\2p-0.5p=15\\1.5p=15\\p=10

So, for 10 posters, the cost of both will be same

c.

It depends.

If the number of posters they order is LESS THAN 10, they should order from Clear Prints. If the number of posters they print is "10", then they can choose any one of the printers since cost would be same. If they print more than 10 posters, then they should choose to go with Sue, as it will cost less.

d.

If the budget is $18, they can get:

Clear Prints = 18/2 = 9 posters made

Sue = 15 already gone as fixed cost, so remaining is 18 - 15 = 3

At 0.5 per poster, 3/0.5 = 6 posters

So, taking Clear Prints would be better.

e.

The budget of 18 is increase by 10, so the budget is:

18 + 10 = $28

From clear prints, you can get:

28/2 = 14 posters

From Sue, you can get:

28 - 15(fixed cost) = 13 left for posters

13/0.5 = 26 posters

Definitely, Sue gives more, so decision made at $18 budget to get Clear Prints would be impacted because they should now go with Sue since it will give them better deal and more posters.

5 0
3 years ago
Which one is bigger, 6200 ft or 1 mi and 900 feet
wel
1mi and 900 feet i think
8 0
3 years ago
A store sold 28 pairs of cross-trainer shoes for a total of $2,220. Style A sold for $70 per pair and Style B sold for $90 per p
icang [17]

Answer:

Style A sold 15 pairs while Style B sold 13 pairs

Step-by-step explanation:

Let the number of Style A pairs be A.

Let the number of Style B pairs be B.

The store sold 28 pairs of cross-trainer shoes for a total of $2,220 and Style A sold for $70 per pair while Style B sold for $90 per pair.

This implies 2 things:

A + B = 28 ________________ (1)

and

(70*A) + (90*B) = 2220

=> 70A + 90B = 2220 ________(2)

We now have two simultaneous equations:

A + B = 28 ________________ (1)

70A + 90B = 2220 __________(2)

From (1):

A = 28 - B ________________ (3)

Put (3) in (2):

70(28 - B) + 90B = 2220

1960 - 70B + 90B = 2220

1960 + 20B = 2220

Collecting like terms:

20B = 2220 - 1960

20B = 260

B = 260 / 20

B = 13

Therefore:

A = 28 - 13 = 15

Style A sold 15 pairs while Style B sold 13 pairs.

8 0
3 years ago
They are going to build wind turbines off the coast of Staten Island. It requires ⅙ square miles of land. How many turbines can
Mila [183]

Answer:

48

Step-by-step explanation:

Here we will show you how to calculate 8 divided by 1/6. We will give you the answer in fraction form and in decimal form.

Here is 8 divided by 1/6 displayed mathematically in colors:

8

 ÷    

1

6

The numbers in 8 divided by 1/6 are labeled below:

8 = whole number

1 = numerator

6 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

8 x 6

1

 =  

48

1

Thus, the answer to 8 divided by 1/6 in fraction form is:

48

1

To make the answer to 8 divided by 1/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

48 / 1 = 48

The answer is rounded to the nearest two decimal points if necessary.

48/1 is an improper fraction and should be written as 48.

3 0
2 years ago
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