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Paha777 [63]
3 years ago
15

Sean is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party stor

e, string is sold by the yard. If Sean wants to get 66 balloons, how many yards of string will he need?
Mathematics
1 answer:
atroni [7]3 years ago
3 0

Answer:

198 yards

Step-by-step explanation:

Sean wants the sting of each balloon to be 9 feet, and he wants to get a total of 66 balloons.

The total length of stings required for 66 balloons would be;

total length of balloon strings = 66 x 9 feet

                                                 = 594 feet

But the string is sold by the yard at the store.

So that,

1 yard = 36 inches = 3 feet

x yard = 594 feet

Thus,

x = \frac{594}{3}

  = 198 yards

x = 198 yards

Therefore, the total length of string that Sean would need is 198 yards.

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Answer:

8482.3 inches

Step-by-step explanation:

You have to find the circumference of the wheel.

If the radius is 13.5, the diameter is 27 (13.5 x 2).

C = πd

C = π × 27

C = 27π

100 rotations means 27π × 100 = 2700π

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So first x = 9x = The answer is

2x-9x=0

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3 years ago
On a snowy day 85% of the students of Wilson high school were present. If 572 of the students were present, how many students we
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Answer:

673

Step-by-step explanation:

okay so uh this is my way and the answer works so like yea teachers dont show like this but ii figured this works

okay so

85/100 = 572/?

so if you divide 85 by 85 its gonna equal 1 and 1 times 100 is gonna be 100

useing the same concept, it should be the same with 572 , but instead of divideing by 572, divide by 85.

basically 572/85

okay now thats gonna give you 6.72941176471 thats vasically 1% of the population.

so multiply 6.72941176471 * 100

so now you have

672.941176471 and you can round this to 673 kids.

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7 0
2 years ago
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The number of texts per day by students in a class is normally distributed with a 
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Answer:

1, 2, 6

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation

Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts

1) For x < 90:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{90-130}{20} =-2

From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%

Option 1 is correct

2) For x > 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0

From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%

Option 2 is correct

3) For x > 190:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{190-130}{20} =3

From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%

Option 3 is incorrect

4)  For x < 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0

For x > 100:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{100-130}{20} =-1.5

From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%

Option 4 is incorrect

5)  For x = 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0

Option 5 is incorrect

6)  For x = 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{160-130}{20} =1.5

Since 1.5 is between 1 and 2, option 6 is correct

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Answer:

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Step-by-step explanation:

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  • If the sign of inequality is > or ≥, then the area of the solutions should be over the line
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Let us study the graph and find the correct answer

∵ The line represented the inequality is solid

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∵ The shaded area is the area of the solutions of the inequality

∵ The shaded area is below the line

∴ The sign of inequality must be ≤

→ That means the correct answer is A

∴ The inequality which represents the graph is y ≤ -2x + 1

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3 years ago
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