Answer:
Choice 3 is your answer
Step-by-step explanation:
The format of the function when you move it side to side or up and down is
f(x) = (x - h) + k,
where h is the side to side movement and k is up or down. The k is easy, since it will be positive if we move the function up and negative if we move the function down from its original position.
The h is a little more difficult, but just remember the standard form of the side to side movement is always (x - h). If our function has moved 3 units to the left, we fit that movement into our standard form as (x - (-3)), which of course is the same as (x + 3). Our function has moved up 5 units, so the final translation is
g(x) = f(x + 3) + 5, choice 3 from the top.
I hope this helps you
0,644
644/1000
161/250
Answer:
7
Step-by-step explanation:
Answer:
400%
Step-by-step explanation:
We can write a percent proportion:
600/x = 150/100
a:b = c:d
a and d are linked and b and c are linked. So if a is missing, you would do (b*c)/d to get a, if b was missing, you would do (a*d)/c to get b, etc.
So over here we do
(600*100)/150 = 60,000/150 = 400, so x = 400, so that means it's 400% of 150
We can also use benchmark fractions which I find much easier:
100% of 150 is 150.
So 200% of 150 is 300
So 300% of 150 is 450
And 400% of 140 is 600
Every time it increases by 100%, it also increases by 150 on the other side, which makes sense
Let me know if you have any questions.
Answer:
We fail to reject the null hypothesis at 0.05 significance level. We cannot say that less than 12% of trips include a theme park visit.
Step-by-step explanation:
let p be the proportion of trips included a visit to a theme park.
: p=0.12
: p<0.12
To test, we need to calculate test statistic of the sample proportion as:
z=
where
- p(s) is the sample proportion of trips included visit to a theme park (
- p is the proportion assumed under null hypothesis. (0.12)
- N is the sample size (1565)
Using the numbers, z=
= −0.767 and p(z) is ≈0.222
Since 0.222 > 0.05 we fail to reject the null hypothesis.
