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Y_Kistochka [10]
3 years ago
10

How could you model 5 students sharing 4 bags of popcorn equally? How much will each student get?

Mathematics
1 answer:
Effectus [21]3 years ago
5 0
Your answer is 0.8 or 80%
Explanation:

Consider the ratio written like a fraction:

<span><span>Count of sandwichescount of people</span>→<span>46</span></span>

But we need the count of sandwiches for 1 person. So we need to change the 6 people into 1 person. To change 6 into 1 divide it by 6

<span>6÷6=1</span>

For ratios, when multiplying or dividing, what we do to the bottomwe do to the top.

So to change <span>46</span> into what we want we apply

<span><span><span>4÷6</span><span>6÷6</span></span>=<span><span>23</span>1</span>← <span>Count of sandwichescount of people</span></span>

So each person ends up with <span>23</span> of a sandwich

<span>Now see where the shortcut comes from <span>46</span>=<span>23</span><span> of a sandwich</span></span>

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A computer can be classified as either cutting dash edge or ancient. Suppose that 86​% of computers are classified as ancient. ​
Leno4ka [110]

Answer:

(a) The probability that both computers are ancient is 0.7396

(b) The probability that all seven computers are ancient is 0.3479

(c) The probability that at least one of seven randomly selected computers is cutting dash edge is 0.6520.

Because the probability is about 65% is it not unusual that at least one of seven randomly selected computers is cutting dash edge, it's more likely than not.

Step-by-step explanation:

We know that 86​% of computers are classified as ancient. This means, if one computer is chosen at random, there is an 86% chance that it will be classified as ancient.

P(ancient)=0.86

(a) To find the probability that two computers are chosen at random and both are ancient​ you must,

The probability that the first computer is ancient is P(ancient)=0.86 and the probability that the second computer is ancient is P(ancient)=0.86

These events are independent; the selection of one computer does not affect the selection of another computer.

When calculating the probability that multiple independent events will all occur, the probabilities are multiplied, this is known as the rule of product.

Let A be the event "the first computer is ancient" and B the event "the second computer is ancient".

P(A\:and \:B)=P(A)\cdot P(B)=0.86\cdot 0.86=0.86^2= 0.7396

(b) To find the probability that seven computers are chosen at random and all are ancient​ you must,

Following the same logic in part (a) we have

Let A be the event "the first computer is ancient",

B the event "the second computer is ancient",

C the event "the third computer is ancient",

D the event "the fourth computer is ancient",

E the event "the fifth computer is ancient",

F the event "the sixth computer is ancient", and

G the event "the seventh computer is ancient"

P(A\:and \:B\:and \:C\:and \:D\:and \:E\:and \:F\:and \:G)=\\P(A)\cdot P(B)\cdot P(C)\cdot P(D)\cdot P(E)\cdot P(F)\cdot P(G) =(0.86)^7=0.3479

(c) To find the probability that at least one of seven randomly selected computers is cutting dash edge​ you must

Use the concept of complement. The complement of an event is the subset of outcomes in the sample space that are not in the event.

Let C the event "the computer is cutting dash edge".

Let A the event "the seven computers are ancient".

P(C)=1-P(A)=1-0.3479=0.6520

Because the probability is about 65% is it not unusual that at least one of seven randomly selected computers is cutting dash edge, it's more likely than not.

5 0
3 years ago
38. For the following exercises, sketch a line with the given features.
zhannawk [14.2K]

Answer:

see image

Step-by-step explanation:

The x-intercept is the point where the line crosses the x-axis (horizontal, left and right line with numbers, arrows at both ends, usually marked x at the right end)

The y-intercept is where your line crosses the y-axis (vertical, up-and-down line with numbers, arrows at the ends, usually marked y at the top)

Two points determine a line.

Draw a line through the two points given. See image.

3 0
2 years ago
F(x)=x^2+2x-1 <br>find f(-3)​
emmasim [6.3K]

Answer:

2

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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larisa86 [58]

Answer:

hello : x = (ln(20))/3

Step-by-step explanation:

4 + e3x = 24?

e3x = 24 - 4

e3x = 20

3x = ln(20)

x = (ln(20))/3

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