Answer:
$150
Step-by-step explanation:
First use a proportion to find the answer:
40/100=60/x
Now we solve for x
60*100=6,000
6,000 divided by 40= 150
x=150
Therefore the answer is $150
Answer:
The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).
SOLUTION:
Let whole number = x
x + 2x^2 = 21
2x^2 + x - 21 = 0
2x^2 + 7x - 6x - 21 = 0
x ( 2x + 7 ) - 3 ( 2x + 7 ) = 0
( 2x + 7 ) ( x - 3 ) = 0
2x + 7 = 0
2x = - 7
x = - 7 / 2
OR
x - 3 = 0
x = 3
ANSWER:
Therefore, as 3 is a whole number while - 7 / 2 isn't a whole number, the whole number must be 3.
Hope this helps! :)
Have a lovely day! <3
Answer:
x=-3 or x=-1
Step-by-step explanation:
Subtract 3 from both sides of your equation, it should look like this |3x+6|+3-3=6-3.
Simplify to get |3x+6|=3
Apply the absolute rule to get 3x+6=-3 or 3x+6=3.
3x+6=-3 : x=-3
3x+6=3 : x=-1
I'm glad I was able to help have a great day!
Let's restate your first sentence: the length of AB is 15 cm.
For dilation, we would have to multiply 15 by 0.4 and that would lead us to our answer: 6 cm. Hope this helps!
