<h3>
Answer:</h3>
<em>The theoretical probability to draw a black marble is </em><u><em>0.23</em></u><em>. </em>
Step-by-step explanation:
First add up the total amount of marbles in the bag.
14 gray marbles + 7 black marbles + 10 white marbles = 31 total marbles.
Since we need the odds of a black marble being drawn, divide 7 (the amount of black marbles) by 31 (the amount of total marbles).
7/31 ---> 0.22580645161 <u><em>(it is easiest to use a calculator on this step)</em></u><em> </em>
Lastly, round the decimal to the nearest hundredth.
0.22580645161 ---> <em>0.23</em>
<em>0.23</em> would be the odds of drawing a black marble.
Answer:
There are 8 true/false questions and 26 fill-in-the-blank questions.
Step-by-step explanation:
Let "t" be the number of 2-point true/false questions and "f" the number of 5-point fill-in-the-blank questions.
Mrs. Simmons gave a history test worth 92 points. Symbollically,
2 t + 5 f = 92 [1]
There were a total of 34 questions in the test. Symbollicaly,
t + f = 34
t = 34 - f [2]
If we replace [2] in 1, we get
2 (34 - f) + 5 f = 92
68 - 2 f + 5 f = 92
3 f = 24
f = 8
We replace f = 8 in [2],
t = 34 - 8 = 26
There are 8 true/false questions and 26 fill-in-the-blank questions.
Start with a proportion, to get the number of degrees in 30 seconds:
(150 degrees / 5 seconds) = ('D' degrees / 30 seconds) .
Cross multiply the proportion: (150 x 30) = 5 x D
4,500 = 5 x D
Divide each side by 5 : 900 = D
The globe turns 900 degrees in 30 seconds.
How many rotations is that ?
Each rotation is 360 degrees.
So 900 degrees is
(900 / 360) = <em>2.5 rotations</em> in 30 seconds.
Okay so first you would ask your self does 64 divide by 6? So take out your calculator and divided 64 by 6. Doing so you find out the answer is 10.6 (repeating)
So each storage container would get 10? No that doesn't sound right, instead you have to turn the repeating 6 into a fraction so it would be each storage container gets 10 2/3 of a dinosaur.
Answer:
y = 0.5x + 1
Step-by-step explanation:
4 up, 8 right
rise over run
slope = 4/8 or 1/2
y-int = 1
