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ki77a [65]
3 years ago
10

Levi buys a bag of cookies that contains 6 chocolate chip cookies, 9 peanut butter cookies, 8 sugar cookies and 8 oatmeal cookie

s. What is the probability that Levi reaches in the bag and randomly selects 2 peanut butter cookies from the bag
Mathematics
1 answer:
Nastasia [14]3 years ago
5 0

Answer:

12/155

Step-by-step explanation:

<u>Total number of cookies:</u>

  • 6+9+8+8= 31

<u>Probability of getting a peanut butter cookie at first attempt is 9 out of 31:</u>

  • 9/31

<u>Probability of getting a peanut butter cookie at second attempt is 8 out of 30 as one already taken and the total number has changed as well:</u>

  • 8/30= 4/15

<u>Probability of getting 2 peanut butter cookies is the product of each probability we got above:</u>

  • 9/31×4/15= 12/155
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An elevator travels 310 feet in 10 seconds at that speed how far can this elevator travel
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3 years ago
Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,
alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

\frac{sin(B)}{b} = \frac{sin(C)}{c}

\frac{sin(B)}{24} = \frac{sin(82)}{29}

sin(B)*29 = sin(82)*24

\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}

sin(B) = \frac{sin(82)*24}{29}

sin(B) = 0.8195

B = sin^{-1}(0.8195)

B = 55.0

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

\frac{a}{sin(43)43} = \frac{24}{sin(55)}

Cross multiply

a*sin(55) = 25*sin(43)

a = \frac{25*sin(43)}{sin(53)}

a = 20 (approximated)

8 0
3 years ago
Juan ramirez sells suits in a major department store on weekends he Ernst a commission of 5 percent on the first ten suits and h
romanna [79]

Answer:

$185

Step-by-step explanation:

The first ten suits sold for 10×$250 = $2,500

commission = 5% of $2,500 = 0.05×$2,500 = $125

The next three suits sold for 3×$250 = $750

commission = 8% of $750 = 0.08×$750 = $60

Total commissions = $125+$60 = $185

There are several errors in the question. If you are using voice recognition, you are better off typing the question manually.

5 0
2 years ago
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