Answer:
6.3
Step-by-step explanation:
.....................
<u>0.0931</u><u> is the </u><u>probability </u><u>that at least 10 pay in cash.</u>
What is a probability simple definition?
The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Using binomial distribution with n= 15, and p = 0.40,
P(8<X<12) = P(X=9)+P(X=10) + P(X=11)
= 0.0612+0.0245+0.0074
= 0.0931
Therefore,0.0931 is the probability that at least 10 pay in cash.
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>
<u />
<u />
4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (6,8) and solve for b
Subtract 24 from both sides to isolate b
Therefore, the y-intercept of the line is -16. Plug this back into :
I hope this helps!
Answer:
((2 x + 1) (4 x^2 - 2 x + 1))/8
Step-by-step explanation:
Factor the following:
x^3 + 1/8
Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:
(8 x^3)/8 + 1/8
(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:
(8 x^3 + 1)/8
8 x^3 + 1 = (2 x)^3 + 1^3:
((2 x)^3 + 1^3)/8
Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):
((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8
1^2 = 1:
((2 x + 1) ((2 x)^2 - 2 x + 1))/8
Multiply each exponent in 2 x by 2:
((2 x + 1) (2^2 x^2 - 2 x + 1))/8
2^2 = 4:
Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8
Six million and seventy two hundred. 6.0072 x 10*
*=6
