Answer:
7
Step-by-step explanation:
You can divide both 14 and 21 by seven and get a whole number.
x - Ram's age now
Ram is half his father's age now, so his father's age is two times Ram's age:
2x - Ram's father age now
x - 10 - Ram's age ten years ago
2x - 10 - Ram's father age ten years ago
ten years ago he was one third his father's age so his father's age was three times Ram's age:
2x - 10 = 3•(x - 10)
2x - 10 = 3x - 30
-10 + 30 = 3x - 2x
20 = x
2x = 2•20 = 40
Answer:
<u>Ram is 20 years old now, Ram's father is 40 years old now.</u>
Answer:
We can reject the hypothesis at the 0.05 significance level.
Step-by-step explanation:
given that an urn contains a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles drawn at random from the urn revealed 2 red, 5 orange, 4 yellow, and 1 green marble.
H0: All colours are equally likely
Ha: atleast two colours are not equally likely
(Two tailed chi square test at 5% significance level)
color Red Orange Yellow Green total
Observed O 2 5 4 1 12
Expected E 3 3 3 3 12
(O-E)^2/E 0.3333 5.3333 0.3333 5.3333 11.3333
chi square = 11.3333
df =3
p value = 0.010055
Since p < 0.05 we reject H0
We can reject the hypothesis at the 0.05 significance level.
Answer:
0.57
Step-by-step explanation:
Given that:
food = f ; c = clothes
P(f) = 0.76
P(C) = 0.49
P(fnC) = 0.28
Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the probability that the shopper also buys food?
P(f Given C) = P(f | C)
P(f | c) = p(fnC) / p(C)
P(f | c) = 0.28 / 0.49
P(f | c) = 0.5714
P(f | c) = 0.57
