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2 years ago

12

Josh pulled cards from a deck 200 times. He pulled a red card 120 times and a black card 80 times. What is the experimental prob

ability that the next card is black? Remember to simplify.

1 answer:

Ber [7]2 years ago

8 0

The answer is 2/3 because you would put 80 over 120 and simplify

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3 years ago

If y varies directly as x and y = 24 when<br> x= 16, what is y when x = 50? PLEASE ANSWER ASAP!!!!

11111nata11111 [884]

Answer:

$y = 75$

Step-by-step explanation:

Given

$y\ \alpha\ \ x$

$y=24; x =16$

Required

Find y when $x = 50$

We have:

$y\ \alpha\ \ x$

Express as equation

$y = kx$

Solve for k

$k = \frac{y}{x}$

When $y=24; x =16$

$k = \frac{24}{16}$

$k = \frac{3}{2}$

When $x = 50$ , we have:

$y = kx$

$y = \frac{3}{2} * 50$

$y = 75$

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3 years ago

find the missing angle and side measures of the triangle. The triangle has one angle that measures 90 degrees, and the other two

Tamiku [17]

Since we know that the measure of one of the angles is 90°, we know that we have a right triangle with legs 1 and $\sqrt{3}$ . Now lets apply the Pythagorean theorem: $hypotenuse= \sqrt{leg^{2}+leg^{2} }$ , to find our hypotenuse:
$h= \sqrt{1^{2}+ \sqrt{3}^{2} }$
$h= \sqrt{1+3}$
$h= \sqrt{4}$
$h=2$

Now that we know that the measure of the hypotenuse is 2, lets use the trig function sine to find one of the angles that we are going to call $x$ .
Remember that $sin(x)= \frac{opposite.side}{hypotenuse}$ , so:
$sin(x)= \frac{1}{2}$
$x=sin^{-1} ( \frac{1}{2} )$
$x=30$
Now that we have two angles, remember that the sum of the interior angles of a triangle is 180°; lets use that to find our final angle $y$ :
$y=180-(90+30)$
$y=180-120$
$y=60$

We can conclude that the measure of the hypotenuse of our triangle is 2, and the measure of its missing angles are 30° and 60° respectively.

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3 years ago