On a biased dice , the probability of getting a 6 is 4/5. The dice is rolled 500 times. How many sixes would you expect to roll?
Answers
Find 4/5 of 500.
4/5*500=400
You will roll 400 sixes.
Final answer:
Given a biased dice with a probability of 4/5 to show a 6, one would expect to roll a six around 400 times in 500 rolls. This calculation is based on the concept of expected value in probability theory. However, the actual outcome can vary due to randomness.
Explanation:
The student's question deals with the concept of expected value in probability theory. The expected value is calculated by multiplying each possible outcome by their respective probability and then adding these values.
In this scenario, with the dice having a probability of 4/5 to show a 6 on every roll, the expected value of 500 rolls would be: 4/5 * 500 = 400.
That means, if you roll the dice 500 times, you would expect to roll a six around 400 times.
Learn more about Expected Value here:
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Answers
Stephanie ! I see that you tried to draw a picture, but you didn't get very far.
Can I tell you what this example wants you to practice ?
Three things:
Thing #1: Remember the formula for the area of a rectangle.
Area = (length) times (width) .
Thing #2: Changing mixed numbers to fractions, and
fractions to mixed numbers.
Thing #3: Multiplying fractions.
This sandbox is a rectangle.
Its length is 3-1/12 yards.
Its width is 2-3/4 yards.
What is its area ?
Area = (length) times (width) .
Area = (3-1/12 yards) x (2-3/4 yards) .
In order to multiply mixed numbers, you have to change them both to fractions.
-- Change 3-1/12 to a fraction
3 and 1/12 is 3 wholes and 1/12
Each whole is 12 / 12.
3 wholes = 36/12
plus one more = 37/12 .
-- Change 2 and 3/4 to a fraction.
2 and 3/4 is 2 wholes and 3/4
Each whole is 4/4 .
2 wholes are 8/4 .
plus three more = 11/4 .
There you are. Now you know the length and width
of the rectangle as fractions.
Length = 37/12
Width = 11/4
Area = (length) times (width)
Area = (37/12) times (11/4)
Do you remember how to multiply two fractions ?
==> Multiply the numerators to get the numerator.
==> Multiply the denominators to get the denominator.
(37/12) x (11/4)
= (37 x 11) / (12 x 4)
= (407) / (48)
That's it ! As an improper fraction, the area is
407/48 square yards.
Now ... do you remember how to change an improper fraction
to a mixed number ?
I won't tell you how. Please look back in your math book, or in
the handouts, or in the homework, or in the notes, and find
how to change an improper fraction to a mixed number.
I know it's been taught in your class ... otherwise you would
not get this problem where you have to use it.
407/48 = (8 and 23/48) square yards.
That's the answer, but DON'T stop there. The answer is
NOT important. The important thing is that YOU need to
understand HOW to FIND the answer. Once you understand
that, it doesn't matter if you have the answer or not.
Nobody needs to know the area of Selena's sandbox !
Please answer these three math questions!
Answers
10. Both cities have unguessable rainfalls.
11. I predict the rainfall will continue going high, then low, then high, then low.
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it looks like the angle that e and 132 are on is a sraight line
therfor
e+132=180
subtract 132 from both sides
e=48 degrees
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They all get 5 cookies, hope I helped.
Answers
Divide 22 by 126:
Change the decimal into a percentage by multiplying the decimal by 100:
The percentage of 22 out of 126 will be 17.46%.
The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage of 22 out of 126 is calculated as,
P = (22 / 126) x 100
P = 0.1746 x 100
P = 17.46%
More about the percentage link is given below.
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Answers
Answer:
the answer is 23. even tho it says he had 30 at the time you must subtract 7 because thats what he started with. hope i could help! :D
Step-by-step explanation: