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KIM [24]
3 years ago
15

There are six multiple-choice questions on an exam, each with four possible answers. (a) Determine the number of possible answer

sequences for the six questions.
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
8 0

Answer:

Possible\ Answers = 4096

Step-by-step explanation:

Given

Questions = 6

Options = 4 each

Required

Determine the number of possible answers

<em>The first question has 4 possible answers</em>

<em>The second has 4 possible answers</em>

<em>The third has 4 possible answers</em>

<em>The fourth question has 4 possible answers</em>

<em>The fifth has 4 possible answers</em>

<em>The sixth question has 4 possible answers</em>

<em />

Possible\ Answers = 4 * 4 * 4 * 4 * 4 * 4

Possible\ Answers = 4^6

Possible\ Answers = 4096

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Answer the following 3 question(s) using the information from the scenario below.
finlep [7]

Answer:

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

Step-by-step explanation:

Moonlight Hall:

Fixed cost = $1000

Cost per guest = $75

Cost of <em>'n' </em>guests = 75 \times n

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

\Rightarrow 1000 + 75 \times n

Riverside Hall:

Fixed cost = $1500

Cost per guest = $50

Cost of <em>'n' </em>guests = 50 \times n

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

\Rightarrow 1500 + 50 \times n

Hence, Answer 1:

a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: Coordinates of solution:

Option c. (20,2500) satisfies both the equation.

When there are 20 number of guests, the cost of both moonlight and riverside hall comes out to be 2500.

Moonlight Hall cost

75 \times 20 + 1000\\\Rightarrow \$2500

Riverside Hall cost

50 \times 20 + 1500\\\Rightarrow \$2500

Answer 3: c. When there are 20 guests attending the price is $2500.

The solution is done in Answer 2.

So,

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

6 0
3 years ago
I need help The point (1, –5) is reflected across the y-axis.
Paladinen [302]

Answer:

Step-by-step explanation:

Then the x part of the point takes on the opposite sign that it currently has.

  • Right now it is 1. If it takes on the opposite sign, it becomes - 1
  • So the new point is (-1,-5).
  • Nothing happens to the - 5 when reflected across the y axis.

4 0
3 years ago
I would like to know what 1.34 as a fraction in simplest form would be
Paha777 [63]
1.34 = 1 \dfrac{34}{100} = 1 \dfrac{34 \div 2}{100 \div 2} = 1 \dfrac{17}{50}





-------- Edited to include more explanation --------------

1.34 = 1 whole 34 hundredth 

\text { 1 whole 34 hundredth written as a fraction =} 1 \dfrac{34}{100}

Then we simplified it by dividing the numerator and the denominator by 2:

1 \dfrac{34}{100}  = 1 \dfrac{34 \div 2}{100 \div 2}

34 divided by 2 will give us 17 and 100 divided by 2 will give us 50:

1 \dfrac{34 \div 2}{100 \div 2} = 1 \dfrac{17}{50}
6 0
3 years ago
The area of the base of a cylinder is 45 square inches and its height is 11 inches. A cone has the same area for its base and sa
Ghella [55]

Answer:

165 in³

Step-by-step explanation:

Volume of a cone is:

V = ⅓Ah

where A is the area of the base and h is the height.

V = ⅓ (45 in²) (11 in)

V = 165 in³

8 0
3 years ago
Jeremy had 5 Roosevelt dimes, 3 Kennedy half dollars, and 8 silver dollars in his coin collection worth a total of $231.
andre [41]
The linear equation would be, 5d + 3h + 8s = 231
4 0
3 years ago
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