Answer:
S
Step-by-step explanation:
|x - 3| - 1 = 5
x - 3 - 1 = 5
x - 4 = 5
x = 9
-(x - 3) - 1 = 5
-x + 3 - 1 = 5
-x + 2 = 5
-x = 3
x = - 3
x = -3 , 9 matched the answers on the number line
Answer is B) |x - 3| - 1 = 5
Answer:
If you multiply 0.17 by 100 , you get 17 . Similarly, if you divide 17 by 100 , you get 0.17 . Thus, the fraction form for 0.17 is 17100 .
Step-by-step explanation:
Let x be the 1st odd number, and x+2 the second odd consecutive number:
(x)(x + 2) = 6[((x) + (x+2)] -1
x² + 2x = 6(2x + 2) - 1
x² + 2x = 12x +12 - 1
And x² - 10x - 11=0
Solve this quadratic expression:
x' = [+10 +√(10²- 4.(1)(-11)]/2 and x" = [+10 -√(10²- 4.(1)(-11)]/2
x' = [10 + √144]/2 and x" = [10 - √64]/2
x' = (10+12)/2 and x" = (10-12)/2
x = 11 and x = -1
We have 2 solutions that satisfy the problem:
1st for x = 11, the numbers at 11 and 13
2nd for x = - 1 , the numbers are -1 and +1
If you plug each one in the original equation :(x)(x + 2) = 6[((x) + (x+2)] -1
you will find that both generates an equlity
Answer:
d. We are 95% confident that the proportion of adults (ages 17-26) who attended college is between 53% and 59%.
Step-by-step explanation:
Confidence interval of a proportion p.
We build a confidence interval at the x% level from a sample.
With this, we can say that we are x% sure that the true population propotion is in the interval.
The 95% confidence interval is (0.53, 0.59).
This means that we are 95% sure that the true population proportion is between 0.53 and 0.59.
So the correct answer is:
d. We are 95% confident that the proportion of adults (ages 17-26) who attended college is between 53% and 59%.
