Since bot of the expressions in x are equal to y we can equate them as follows:-
6x + 9 = 7x + 7
9 - 7 = 7x - 6x
x = 2
and y = 6(2) + 9 = 21
THe answer is Choice B
Answer: Eric still needs
of a deck.
Step-by-step explanation:
You know that:
- Eric need 1/2 deck of playing cards.
- Eric has 2/7 of a deck.
Therefore, to find the fraction of a deck that Eric still needs, you must subtract 1/2 and 2/7:
- Find the least common multiple of the denominators:


- Now, you can make the subtraction:

Therefore, he still needs
of a deck.
There is a 13.3% chance that a sample of 200 U.S. students in grades 9 through 12 who attend public and private school will have 11% or fewer obese students if 13.7% of the population is obese this year. (Option D)
<u>Explanation:</u>
From the given information it is observed that the 2013 national Youth Risk Behavioural Survey reported that 13.7 percent of US students in grades 9 through the grade 12 who attended the public school were obese.
Consider the random sample of 200 US students and find that 11 percent are obesed. The Null and alternative hypothesis are
Null hypothesis, = 0.137, Alternative hypothesis, = p less than 0.137
Thus, the value of p is 0.133
Answer:
Step-by-step explanation:
The ratio of height to shadow length will be proportional.
2.6 / 1.26 = h / 37.25
h = 37.25(2.6)/1.26 = 76.865079...
h = 76.9 m
I GUESS YOU ARE GIVING THE FIRST 2 NUMBER OF THE SEQUENCE.
If so, the common ratio is r =6/42 and r=1/7.
Calculate the 6th term of this geometric sequence.
If the 1st term is 42, the common ratio = 1/7 and the number of term =6,
then we can apply the formula:
a(n) = a₁(r)ⁿ-1
a₆ = 42(1/7)⁵; a₆ = 42/(7⁵) = 42/16807, simplify numerator & denominator by 7
final answer a₆ = 6/2401