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3 years ago

A movie, including the previews, is 2 hours and 40

Mathematics

1 answer:

ra1l [238]3 years ago

3 0

Answer:

7/8

Step-by-step explanation:

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"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"

erastovalidia [21]

Answer:

The exam can be answered with exactly 8 answers correct in 6435 ways.

Step-by-step explanation:

The order is not important.

For example, answering correctly the questions 1,2,3,4,5,6,7,8 is the same outcome as answering 2,1,3,4,5,6,7,8. So we use the combinations formula to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"

Combinations of 8 questions from a set of 15. So

$C_{15,8} = \frac{15!}{8!(15-8)!} = 6435$

The exam can be answered with exactly 8 answers correct in 6435 ways.

5 0

2 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – x – 7 = 0

Tanzania [10]

2x-x-7=0

3x-7=0

add 7 to 7 and 0, so then we cross out 7-7, and then

3x=7, bc u change the subtraction to addition, sr if thst doesn't make sense but 3x=7 is the answer

8 0

3 years ago

Read 2 more answers

Calculate the product 78.93 times 32.45

Alona [7]

Answer:

2561.2785

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi > 0 what is theta ? Repeat for sin phi < 0.

Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

$\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\$

Therefore:

arctan(θ) = -2/3

θ = -33.69°

The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

Have a nice day!

3 0

3 years ago

The first person to answer correctly will get brainliest 5 stars AND a thank you!!!!

Travka [436]

Answer:

A translation

Step-by-step explanation:

5 0

2 years ago