Answer: The probability of drawing a red marble the sixth time is 1/2
Step-by-step explanation:
Here is the complete question:
A box contains 10 red marbles and 10 green marbles. Sampling at random from the box five times with replacement, you have drawn a red marble all five times. What is the probability of drawing a red marble the sixth time?
Explanation:
Since the sampling at random from the box containing the marbles is with replacement, that is, after picking a marble, it is replaced before picking another one, the probability of picking a red marble is the same for each sampling. Probability, P(A) is given by the ratio of the number of favourable outcome to the total number of favourable outcome.
From the question,
Number of favourable outcome = number of red marbles =10
Total number of favourable outcome = total number of marbles = 10+10= 20
Hence, probability of drawing a red marble P(R) = 10 ÷ 20
P(R) = 1/2
Since the probability of picking a red marble is the same for each sampling, the probability of picking a red marble the sixth time is 1/2
Rate of change = 2/1 and the initial value is -2. this can be expressed as y=2x-2.
Part A
(3x)^2*x^4
(3x)*(3x)*x^4 .... expand out (3x)^2
(3*3)*(x*x*x^4)
9x^6
Answer: 9x^6
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Part B
It appears that Tonya forgot to square the 3 term and had this as her steps
(3x)^2*x^4
3x^2*x^4
3x^(2*4)
3x^8
Which is incorrect as the answer in part A indicates.
Not only is the '3' part wrong, but also the exponent of 8. Instead of multiplying the exponents, she should have added them.
The rule is a^b*a^c = a^(b+c). In this case, a = x, b = 2 and c = 4.
So x^2*x^4 = x^(2+4) = x^6
Answer:
17/12
Step-by-step explanation:
See picture.
I wrote your poblem as an additoin problem because 2 negitive numbers would make it possitve.
Example:
1 - (-2) = 1 + 2
Answer:
Step-by-step explanation:
Split it up like this to make it easier to work with:
Since the only thing in the denominator of those fractions is a 3, we can only divide the 27 by 3, not the x or y terms. Same thing with the second fraction. 27 divided by 3 is 9 and 15 divided by 3 is 5, so
is the solution. It is not completely simplified, but that isn't what you asked for, so this should suffice as the answer.
