Answer: 2/25
Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.
First find the probability of selecting a blue marble.
There are 2 favorable outcomes, the blue marbles,
and 10 possible outcomes, all the marbles in the bag.
So the probability of selecting a blue marble is 2/10 or 1/5.
<em>Always reduce when finding probability</em>
<em></em>
Now we find the probability of selecting a green marble.
There are 4 green marbles and 10 total so the probability of
selecting a green marble is 4/10 or 2/5.
Now we multiply the probabilities.
So we have 1/5 x 2/5 or 2/25.
Step-by-step explanation:
f(x) = x² - 4x - 4
the general formula for solving such a quadratic equation (for f(x) = 0) is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = -4
x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =
= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)
x1 = 2 + 2×sqrt(2)
x2 = 2 - 2×sqrt(2)
The slope intercept form is written as: y= mx+b
where m is slope and b is the y-intercept
Here m is 1/5 and -8 is b
So, 1/5 and -8
Hope it helps!
Answer and explanation:
Given : Examination of court records in a particular state shows that the mean sentence length for first-offense drug dealers is 26 months with a standard deviation of 2 months. The records show that the sentence lengths are normally distributed.
i.e. Mean 
, Standard deviation 
Using Z-score formula,
1) What is the Z score for a 23 month sentence length? What is the probability of getting a sentence below that?
The Z score value for a 
is given by,
The probability of getting a sentence below that is 
i.e. 
2) A defense attorney is concerned that his client's sentence was unusually harsh at 30 months. What percent of sentences are 30 months or longer? Calculate the Z score and report the area.
The Z score value for a 
is given by,
The probability of getting a sentence below that is 
i.e. 
Into percentage, 
3) Would you consider a 30 month sentence harsh? Explain
Since the percentage for 30 months or greater is harsh because the smaller value of percentage of
Answer:
15% '
Step-by-step explanation:
Price yesterday = $180
Price today = $207
Increase in price = $(207 - 180)
=> $27
Percent increase =
Increase / Price of yesterday
=> 27 / 180 * 100
=> 3 / 2 * 10
=> 30 / 2
=> 15
15%
Therefore, the rise in the price of the item = 15%
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