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3 years ago

Points (3,1) and (1,4) lie on line k. What is the slope of the line that is perpendicular to k?

1 answer:

6 0

First we need to find the slope of line k. Using the slope formula, we fill in accordingly: $m= \frac{4-1}{1-3}$ . The slope is -3/2. The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3). You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals. The slope you're looking for is 2/3. Choice 3 above.

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What is the probability if a penny lands on heads 30 times after being tossed 50 times?

Firlakuza [10]

The probability will be equal to 60%.

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The best thing to do here is to put it into a fraction. as 30 landed heads up, 20 (50-30) must be tails.

You can then put this into a fraction, which becomes 20/50.

To turn this into a decimal, you can then divide 1 by 50

1/50= 0.02

As you've got 22 lots of this, you then need to multiply 0.02 by 20.

0.2x20= 0.40

To find the percentage, you've then got to multiply the decimal by 100.

100x0.40= 40.

Therefore, 40% of the tosses would be tails

As you've found what one percentage is, you simply need to take this number away from 100 to find the other, rather than having to go through the process again.

100-40= 60

To know more about probability follow

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7 0

2 years ago

What is the solution set of -|x|=-8

Novosadov [1.4K]

-|x|=-8

-x = - 8

x = 8

and

- (-x) = - 8

x = - 8

Answer

x = -8 , 8

5 0

3 years ago

Six more than nine times a number is 456 translate to an equation then solve

Sliva [168]

6+9x=456

Subtract 6 from both sides

6-6+9x = 456-6

9x = 450

Divide each side by 9

X = 50

Plug it in 6+9(50) = 456

6+450 = 456

8 0

3 years ago

Read 2 more answers

Alyssa received $30,000 from inheritance and invests part in a certificate of deposit (cd) paying 5% annual interest and the res

statuscvo [17]

This can be the equation, if you put it in x and you put it in y. So x plus y is equal to 30,000, 5/100x plus 11 over 100y is equal to 2200. The answer is y is equal to 70, 000 over 6. X = 11000/6

5 0

3 years ago

Part 2: NO LINKS!! NOT MULTIPLE CHOICE! Please help me

Dmitry_Shevchenko [17]

Answer:

(see attachment for tree diagram)

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$