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3 years ago

14

Marita is cutting rolls of ribbon that are 3 feet long into 1/2- foot pieces. She needs fifteen 1/2- foot pieces for a project.

She has 3 rolls of ribbon. Does she have enough to cut 15 pieces? Explain.

1 answer:

kondaur [170]3 years ago

3 0

Answer: Yes

Step-by-step explanation:

3 * 2 = 6. So you can get 6 1/2 foot pieces out of 1 roll. She has 3 rolls. 6 * 3 = 18. 18 is more than 15.

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Which of the following is a rational number?

olga nikolaevna [1]

Answer:

B

Step-by-step explanation:

when you solve B you get 15 and for all the other ones you get a non-terminating decimal

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2 years ago

Use factoring to solve the quadratic equation x2 − 2x − 3 = 12.

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Answer:

$x_1=5\\x_2=-3$

Step-by-step explanation:

You have the following quadratic equation given in the problem:

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An instructor who taught two sections of Math 161A, the first with 20 students and the second with 30 students, gave a midterm e

uranmaximum [27]

Answer:

<em>The answers are for option (a) 0.2070 (b)0.3798 (c) 0.3938 </em>

Step-by-step explanation:

<em>Given:</em>

<em>Here Section 1 students = 20 </em>

<em> Section 2 students = 30 </em>

<em> Here there are 15 graded exam papers. </em>

<em> (a )Here Pr(10 are from second section) = ²⁰C₅ * ³⁰C₁₀/⁵⁰C₁₅= 0.2070 </em>

<em> (b) Here if x is the number of students copies of section 2 out of 15 exam papers. </em>

<em> here the distribution is hyper-geometric one, where N = 50, K = 30 ; n = 15 </em>

<em>Then, </em>

<em> Pr( x ≥ 10 ; 15; 30 ; 50) = 0.3798 </em>

<em> (c) Here we have to find that at least 10 are from the same section that means if x ≥ 10 (at least 10 from section B) or x ≤ 5 (at least 10 from section 1) </em>

<em> so, </em>

<em> Pr(at least 10 of these are from the same section) = Pr(x ≤ 5 or x ≥ 10 ; 15 ; 30 ; 50) = Pr(x ≤ 5 ; 15 ; 30 ; 50) + Pr(x ≥ 10 ; 15 ; 30 ; 50) = 0.0140 + 0.3798 = 0.3938 </em>

<em> Note : Here the given distribution is Hyper-geometric distribution </em>

<em> where f(x) = kCₓ)(N-K)C(n-x)/ NCK in that way all these above values can be calculated.</em>

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3 years ago

The school production of 'Our Town' was a big success. For opening night, 392 tickets were sold. Students paid $3.00 each, w

elixir [45]

Answer:

<u>239 students and 153 non-students attended to the school production of "Our Town"</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of tickets of the school production sold = 392

Student ticket cost = US$ 3

Non-students ticket cost = US$ 5

Total collected = US$ 1,482

2. How many students and how many non-students attended?

For answering the question we will use the following equation:

x = Number of students that attended the school production

392 - x = Number of non-students that attended the school production

3x + (392 - x) * 5 = 1,482

3x + 1,960 - 5x = 1,482

-2x = 1.482 - 1,960

-2x = - 478

x = -478/-2

<u>x = 239 ⇒ 392 - 239 = 153</u>

<u>239 students and 153 non-students attended to the school production of "Our Town"</u>

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3 years ago