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kap26 [50]
3 years ago
9

Please answer ASAP!!

Mathematics
1 answer:
belka [17]3 years ago
4 0

Answer:

3. It is likely.

Step-by-step explanation:

Let's assume the dartboards circles have radius of r, 2r, 3r and 4r from inner side

<u>Then the areas covered will be as:</u>

  • point 20 = πr² = S
  • point 15 = π(2r)² - πr² = 3πr² = 3S
  • point 1 0 = π(3r)² - π(2r)² = 5πr² = 5S
  • point 5 = π(4r)² - π(3r)² = 7πr² = 7S

Total area of the dartboard is S+3S+5S+7S = 16S

The area of point 5 is 7S. And the area of non- 5 point is 16S - 7S = 9S

The probability of scoring at least 10 points is:

  • 9S/16S = 0.5625

As it is between 1/2 and 1, the probability is in 'likely' region

<u>So the correct answer choice is:</u> 3. It is likely

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143 cards, you can find this using the LCM or least common multiple. <span />
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Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?
Ann [662]
If you would like to solve the equation x^2 + 12 * x = -11, you can calculate this using the following steps:

x^2 + 12 * x = -11
<span>x^2 + 12 * x + 11 = 0
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1. x = - 1
2. x = - 11

The correct result would be x = - 1, or x = - 11.
7 0
3 years ago
A sweet factory produces 5 different chocolate bars. the different flavors are always produced in the same proportions, for ever
IRISSAK [1]

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

<h3>How to calculate the number of chocolate bars</h3>

Since there are 5 different flavors,

let

  • x = orange flavored bars,
  • y = coconut flavored bars,
  • z = coffee flavored bars,
  • a = strawberry flavored bars and
  • b = honeycomb flavored bars and
  • X = total number of bars

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

<h3>a. What is the total number of chocolate bars if there are 280 orange flavored bars?</h3>

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

<h3>b. What is the total number of chocolate bars if there are 960 coconut flavored bars?</h3>

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

<h3>c. What is the total number of chocolate bars if there are 79 coffee flavored bars?</h3>

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

Learn more about ratio here:

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7 0
2 years ago
Find the sum. then use commutative property of addition to write the related sentence
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4 0
4 years ago
Phil can afford $200 a month for 5 years for a car loan. if the interest rate is 7.5 percent, how much can he afford to borrow t
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200 per month for 5 years = 12,000
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That would be the payment total.
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principal = Total - Total * ((1 +r)^-n) / r * n
where n = # of payments = 5 year * 12 months = 60 and
rate / 1.200 = 7.5/1,200 = .00625
 
principal = [12,000 - 12,000 * (1.00625)^-60] / .375
principal = [12,000 - 12,000 * <span> <span> <span> 0.6880918239 </span> </span> </span> ] / .375
principal = [12,000 - <span> <span> <span> 8,257.1018863488] / .375
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Source:
http://www.1728.org/loanfrm4.htm


6 0
4 years ago
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