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stiv31 [10]
4 years ago
6

A student prepares for an exam by studying a list of 10 problems. She can solve 8 of them. For the exam, the instructor selects

7 questions at random from the list of 10. What is the probability that the student can solve all 7 problems on the exam
Mathematics
1 answer:
lianna [129]4 years ago
5 0

Answer:

Probability to solve 7 problem will be equal to \frac{1}{15}

Step-by-step explanation:

It is given total number of question = 10

She can solve 8 of them from 10 questions

We have to find the probability that she can solve 7 question

Probability will be equal to ratio of favorable outcome to total sample space

Favorable outcome will be equal to ^8c_7

Total sample space =^{10}c_7

So probability will be equal to P=\frac{^8C_7}{^{10}C_7}=\frac{6}{90}=\frac{1}{15}

So probability to solve 7 problem will be equal to \frac{1}{15}

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11111nata11111 [884]

Answer:

x = 4\sqrt{2}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then using the upper 45°

sin45° = \frac{opposite}{hypotenuse} = \frac{4}{x} = \frac{1}{\sqrt{2} } ( cross- multiply )

x = 4\sqrt{2}

4 0
3 years ago
I really need help ASAP! thx<br><br> Let f(z)=z-8 and g(z)=4z-9<br> Find (f+g)(2)
Hitman42 [59]

Answer:

  (f +g)(2) = -7

Step-by-step explanation:

Functions are added by adding their values.

<h3>Application</h3>

  (f +g)(2) = f(2) +g(2)

  = (2 -8) +(4(2) -9) . . . . . evaluate f and g with z=2

  = -6 +(-1)

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3 0
2 years ago
X² + y² = 34<br>x + y =8​
Nataly [62]

Step-by-step explanation:

{x}^{2}  +  {y}^{2}  = 34 \\ x + y = 8 \\ x = 8 - y \\ substitute \: x \: in \\  {x}^{2}  +  {y}^{2}  = 34 \\  {(8 - 4)}^{2}  +  {y}^{2}  = 34 \\  {(8 - 4) }^{2}  =  {y}^{2}  - 16y + 64 \\   {y}^{2}  - 16y + 64 +  {y}^{2}  = 34 \\  {2y}^{2}  - 16y + 64 = 34 \\ {2y}^{2}  - 16y + 64  - 34 = 0 \\  {2y}^{2}  - 16y + 30 = 0 \\ 2 {y}^{2}  - 6y - 10y + 30 = 0 \\ (2 {y}^{2}  - 6y) - (10y + 30) = 0 \\ 2y(y - 3) - 10(y - 3) = 0 \\ (2y - 10)(y - 3) \\ 2y = 10 \\ y  = \frac{10}{2}  \\ y = 5 \\ or \\ y = 3 \\ if \: y = 5 \:  \: x = 3 \\ if \: y = 3 \:  \:  x = 5

4 0
3 years ago
Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
Nikolay [14]

Answer:

C, 63.00

Step-by-step explanation:

6*50=300

5*40=200, *5=1000

4*50=200, *10=2000

3*40=120, *25=3000

_________________

6300 cents

$63.00

{$63$}

6 0
3 years ago
Someone please help me!!!!!
Ksenya-84 [330]
The slope is 1 or -1 depending on if the line is going down or if it’s going up.

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In this case (taking that each block is 1) you can see that the line is y=x +1.
4 0
3 years ago
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