Answer:the uncle is 54 years old.
The woman is 18 years old
Step-by-step explanation:
Let x represent the age of the uncle.
Let y represent the age of the woman that he married.
In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that
x = 3y
He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that
x + 18 = 2(y + 18)
x + 18 = 2y + 36 - - - - - - - - - - 1
Substituting x = 3y into equation 1, it becomes
3y + 18 = 2y + 36
3y - 2y = 36 - 18
y = 18
x = 3y = 3 × 18
x = 54
Answer:
(3)11
Step-by-step explanation:
We are given that

We have to find the sum of positive roots of the equation.




Factor of 336
2,3,4,6,8,7,
Let x=2

x=2 is not the root of equation
x=-2

Hence x=-2 is the root of equation.
x+2 is a factor of equation.
x=3

Therefore, x=3 is the root of equation.






Positive roots are 3 and 8
Sum of positive roots=3+8=11
Option (3) is true.
Answer:
Let t be the number of ten dollar bills.
o×6+5=t
If you need it without t, then it's:
o×6+5
Step-by-step explanation:
Let t be the number of ten dollar bills.
o×6+5=t
We get this because the question said that there were more ten-dollar bills than 6 times the number of one-dollar bills.
The fact that the first chosen student was a girl is already decided, so there is no need to find the probability of that happening. There are a total of 13+10, or 23 students. A girl was already selected, so that leaves 22 students. The chance that a boy is chosen is 10/22, or 5/11.
Answer:
Due to the higher z-score, David has the higher standardized score
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Which student has the higher standardized score
Whoever had the higher z-score.
David:
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So 



Steven:
Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So 



Due to the higher z-score, David has the higher standardized score