5/32 is the answer
Hope this helped!
You need to use pemdas so first you do inside the parenthesis 6+21=27 then you add 4 27+4=31 that is your answer
The figure can be splitted into 2 trapeziums.
Hence, 14.5 * 16 + 20 * 10 = 432.
<span>g(x) = x^3 - 9x^2 + 2x + 48 ?
Probe some roots. When you use x = - 2
you will have: (-2)^3 - 9(-2)^2 + 2(-2) + 48 = -8 - 36 - 4 + 48 = 0
So, - 2 is a root
From that you can divide x^3 - 9x^2 + 2x + 48 by x + 2 and you will get
x^2 - 11x + 24
Then you can factor that: (x - 8)(x - 3)
So, the three roots are x = - 2, x = 3 and x = 8, which is the option B.
Answer: option B. x = 8, x = -2 , and x = 3
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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.