There are ten questions on Jack's science quiz: six multiple choice questions with four choices each and four true/false questions. How many ways can he answer the question?

Answers

Answer 1
Answer: Questions with multiple choice can be answered: 4^6 = 4096 ways
True/false questions can be answered: 2^4 = 16 ways

The total number of ways to answer all questions = 4096*16 =65,536 ways

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A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

Answers

let x = roller coaster ticket
let y = boat ride ticket

x + y = 10
4x + 3y = 37

x = 10 - y
4x + 3y = 37
4(10-y) + 3y = 37
40 - 4y + 3y = 37
-y = 37 - 40
-y = -3
y = -3/-1
y = 3

x = 10 - y
x = 10 - 3
x = 7

x = 7 ; y = 3

4x + 3y = 37
4(7) + 3(3) = 37
28 + 9 = 37
37 = 37 

Answer:

D. 4r + 3(10 - r) = 37

Step-by-step explanation:

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Please answer 1-6 worth 22 points

Answers

1. 10 times six is 60 dollars
2. 4 times 3 is 12
3.3 times 1.50 is 4.50 dollers for a 3 pack
4. 4 times 35 is 140 dollars
5. 40 times 5 is 200
6. 37.75
1. 60 dollars
2. 12
3. 4.50 dollars for a 3 pack
4. 140 dollars
5. 200
6. 37.75

Fandango has movie tickets on sale for 1\2 price. You buy 2 $12 tickets and you must pay 6% sales tax. What is your total cost after discount and taxes?​

Answers

Answer:

$12.72 or $25.44

Step-by-step explanation:

if he buys 2 tickets that are $12 each. half of 12 is 6 so you will have to pay 12 plus tax(6%). to find tax you would multiply 12 x .06 which would be $12.72. if it say the tickets are half off from $24 being $12 each then the answer would be $25.44. the question  dosent specify that.

hope i helped

Final answer:

The total cost after the discount and taxes would be $13.44.

Explanation:

To find the total cost after the discount and taxes, we first need to determine the discount amount.

Since the tickets are on sale for 1/2 price, the discount would be half of the original cost of the tickets.

So the discount amount would be 1/2 * $12 * 2 = $12.

Next, we need to calculate the sales tax, which is 6% of the original cost of the tickets.

The sales tax would be 0.06 * $12 * 2 = $1.44.

Finally, we can calculate the total cost by adding the original cost of the tickets, the sales tax, and subtracting the discount amount.

The total cost would be $12 * 2 + $1.44 - $12 = $13.44.

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Which inequality will have a shaded area below the boundary line?

Answers


Another twofer !

We don't know what the choices are, and we don't know where
the boundary line is.  Otherwise, the question is intriguing indeed.

A two-digit number read from left to right is 20% greater than the same number read from right to left. Find the number.

Answers

Final answer:

The number that is 20% larger when read from left to right than when read from right to left is 24.

Explanation:

The question asks for a two-digit number which is 20% larger when read from left to right than it is when read from right to left. Let's denote the digit in the tens place as 'a' and the one in the units place as 'b', then the two-digit number can be written as 10*a + b. When reversed, this becomes 10*b + a.

According to the question, 10*a + b is 20% (or 1.2 times) greater than 10*b + a. So, we can set up the following equation: 1.2(10*b + a) = 10*a + b.

When you solve this equation, the solution is a = 2 and b = 4, so the number the question is asking for is 24

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Answer:

54

Step-by-step explanation:

We'll call the number "ab".

From left to right, the value of this number will be 10a+b.

From right to left, the value of this number will ve 10b+a.

From the question,

10a+b=1.2(a+10b)\n10a+b=1.2a+12b\n8.8a=11b

For a and b to be whole numbers,

\left \{ {{a=5} \atop {b=4}} \right.

So the number is 54.

Which of the following represents the probability of 3 successes in 5 trials?a. 3C5P(S)*P(775
c. 3C5P(S)?P(A15
b. 5C3P(S)3P(F2
d. 5C3P(S)3P(F)5

Answers

Final answer:

The probability of 3 successes in 5 trials is represented by '5C3P(S)³P(F)²'. This equation reflects the combination of possible successful events, multiplied by the probability of success raised to the number of successes, and the probability of failure raised to the number of failures.

Explanation:

The correct answer is d. 5C3P(S)³P(F)².

Probability of success in binomial problems is given by the equation P(S) = nCr * (p)ⁿ * (q)ⁿ-r where n is the number of trials, r is the number of successful trials, p is the probability of success, and q is the probability of failure (1-p). In this case, there are 5 trials and 3 successes, so your p to the power of 3 (P(S)³) represents the probability of success and the your q to the power 2 (P(F)²) represents the probability of failure. The 5C3 in front is a combination which shows how many ways 3 successes can occur in 5 trials.

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Answer: option B: 5C3P(S)3P(F)2

Step-by-step explanation:

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