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Nata [24]
3 years ago
14

For this module's assignment review the following. 1. A student randomly guesses the answers to a four-question true-or-false qu

iz. The observation is the student's answer for each question. Write out the sample space. (Use T = true and F = false) 2. At Aunt Edna's Diner, a customer can choose from 5 appetizers, 7 entrees, 4 side dishes, and 6 desserts. How many different meals can be made by selecting one item from each course? 3. Compute gC3. 4. Compute 9P3- ​
Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

9514 1404 393

Answer:

  1. tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff
  2. 840
  3. 84
  4. 504

Step-by-step explanation:

1. The sample space is all 16 possible sequences of T or F of length 4:

  tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff

__

2. The number of possibilities is the product of the numbers of choices at each stage:

  5 × 7 × 4 × 6 = 840 . . . different meals

__

3. 9C3 = 9!/(3!·6!) = 84

__

4. 9P3 = 9!/6! = 504

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Which equation is a point slope form equation for line AB ? y+1=2/3(x−4) y+1=3/2(x−4) y+1=−2/3(x−4) y+1=−3/2(x−4) A graph with a
Rufina [12.5K]

Answer:

C) y + 1 = -2/3(x - 4)

Step-by-step explanation:

The given line passes through the points A (4, -1) and B (-2, 3)

Let's find the slope now.

Slope (m) = (y2 - y1)/(x2 - x1)

= (3 - (-1)) / (-2 - 4)

= (3 + 1)/-6

= 4/-6

Slope (m) = -2/3

The equation of line y - y1 = m (x - x1)

y - (-1) = -2/3(x - 4)

y + 1 = -2/3(x - 4)

Answer:  C) y + 1 = -2/3(x - 4)

Thank you.

5 0
3 years ago
What number comes next in the series? 31, 1031, 402, 16, ____
spin [16.1K]

Answer:

Another person already answered this question. Their name is writersparadise. I give all credit to him/her for this answer.

Step-by-step explanation:

There could be many answers for this question. In general, the number that comes after 16 is a number with 8 as the sum of its digits.

Explanation:

1st number 31 – Sum of digits is 3 + 1 = 4  

2nd number 1031 – Sum of digits is 1 + 0 + 3 + 1 = 5

3rd number 402 – Sum of digits is 4 + 0 + 2 = 6

4th number 16 – Sum of digits is 1 + 6 = 7

Therefore, the missing number could be the single digit number 8 or any of the two-digit numbers 17, 26, 35, 44, 53, 62, 71 or 80. It could also be a bigger number with the digits of any of the given two-digit numbers and 0 for the other digits such as 260 or 7001.

Read more on Brainly.in - https://brainly.in/question/3032926#readmore

4 0
3 years ago
The Sweater Shack is offering a 15% discount on sweaters. If the regular price of a sweater is $30.00, what is the discount? Wha
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Answer:

The discount is $4.50. The sale price is $25.50.

Step-by-step explanation:

Discount: 30(.15)=4.50

Sale Price: 30.00-4.50=25.50

6 0
3 years ago
Explain how to use the break apart strategy to find 247+358
KIM [24]
1. Set up the long addition.
  2 4 7
+3 5 8 
_______

2. Calculate 7+8, which is 15.
since 15 is two-digit, we carry the first digit 1 to the next column.
      1 
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________
          5
  
3. Calculate 4+5, which is 9. Now add the carry digit of 1, which is 10. Since 10 is two-digit, we carry the first digit 1 to the next column.
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4. Calculate 2+3, which is 5. Now add the carry digit of 1, which is 6.
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5. Therefore, 247 + 358 = 605.
   
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8 0
4 years ago
Read 2 more answers
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Answer

Step-by-step explanation:

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