Answer: 7/8
Step-by-step explanation:
You can change all the fractions to have equivalent denominators.
The Least Common Denominator of 1 1/4 and 3/8 is 8. Now we can change the fractions.
1 1/4 = 1 2/8 = 10/8.
3/8 = 3/8.
Now we can subtract. Subtract the numerators of the first fraction from the numerators of the second fraction, and the denominators oft he first fraction to the denominators of the second fraction.
10/8 - 3/8 = 7/8.
Therefore, 1 1/4 - 3/8 = 7/8; the fourth answer.
Answer:
65/100 or 13/20
Step-by-step explanation:
65% = 65/100 and simplify to 13/20
X > 10 Because if you remove the parenthesis and distribute 4 through the parentheses - 8x + 8 + 12. Then you add 8 and 12 which equals 20. Then you move the constant to the right-hand side and change its sign. You calculate 100 - 20 which give you 80 and divide then which gives you 10.
Hopefully this helps! <3
Answer:
a) No.
b) Yes.
c) Yes.
Step-by-step explanation:
a) No.
As being without replacement, the probabilities of each color in each draw change depending on the previous draws.
This is best modeled by an hypergeometric distribution.
b) Yes.
As being with replacement, the probabilities for each color is constant.
Also, there are only two colors, so the "success", with probability p, can be associated with the color red, and the "failure", with probability (1-p), with the color blue, for example.
(With more than two colors, it should be "red" and "not red", allowing only two possibilities).
c) Yes.
The answer is binary (Yes or No) and the probabilities are constant, so it can be represented as a binomial experiment.
Tan(15) = tan(45 - 30)
= [tan(45) - tan(30) ] / [ 1 + tan(30)tan(45)]
= (1 - 1/sqrt(3)) /(1 + 1/sqrt(3))
= (sqrt(3) - 1)/(sqrt(3) + 1)
= (sqrt(3) - 1)^2 /(3 - 1)
= 1/2 [3 + 1 - 2sqrt(3) ]
= (2 - sqrt(3) )
= 0.27 is your answer
