Answer:
D. 150/4
Step-by-step explanation:
So we know that
scale size * scale factor = actual size
We are given the actual size (150) and the scale factor (4), so plug those in.
scale size * 4 = 150
scale size = 150/4
<u>The answer is D. 150/4</u>
So, first establish a ratio
x:y, x/y, or x to y
for number 9, that's gonna be 1 yards:.914 meters
You need to find what you get for meters (y) when you have 4 yards
Fill into the x slot in the proportion (ratio)
4:y as 1:0.914
You can do this in a few ways
- you can "cross multiply" by putting each ratio into a fraction form
1/0.914 * 4/y
-Or, when you are dealing with a term based on a single unit (the single yard measurement), then you can take a little shortcut and just multiply the denominator by 4.
You get 0.914*4= 4.914m
For the second one, we need to establish how many marbles there are, or your "pool"
4+3+2+1= 10
Then, your chances of drawing a certain color is how many of that color you have over your total pool.
1/10 or .1 is your probability of drawing a white marble first.
Then, since you replace it and draw again, you repeat this process and multiply.
1/10*1/10=1/100 or .1*.1= 0.01 is your probability of drawing a white both times.
*Note: If the marble is not returned, the pool changes from 10 to 9 because that marble is no longer in the pool.
For the last one, we know that a cube has six sides, all different numbers. That makes each number's probability 1/6.
Now into the more complicated stuff.
Since you are rolling 2 dice and you are looking for a sum of <6
Draw a chart of all the possible outcomes
D1) 123456
D2) 123456
Make a chart, the possible rolls for each die going on the top and side, then simply add in a box fashion ie. 2+2=4, 3+5=8, etc. and the most that can be rolled is 12
1.2,3,4,5,6
2,4,5,6,7,8
3,5,6,7,8,9
4,6,7,8,9,10
5,7,8,9,10,11
6, 8,9,10,11,12
now draw a diagonal line through all the sixes, the ones you need less than, and get rid of everything above that, along with the one because you can't add to get a 1 from two dice
2,3,4,5,6
2,4,5,6
3,5,6
4,6
5,6
6
How many different combinations can you roll below six?
11
Now multiply 6*6 to get 36 (all of the possible rolls)
and put the number 11 over it
11/36
Reduce if needed, which it isn't in this case
The probability that the roll adds up to a number less than 6 is 11/36
The expression that shows the number of boxes ordered is 8p.
<h3>What is an expression?</h3>
Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
Since the school custodian ordered p rolls of paper towels and the paper towels are sold in boxes of eight.
The expression will be:
= Number of rolls × 8
= p × 8
= 8p
The expression is 8p.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1