Answer:
3/7 and 4/17
Step-by-step explanation:
a) given that Shen is playing a game and the probability of unlocking the treasure test is 3/10.
To find the odds in favour of his character unlocking the treasure chest.
Since probability = 3/10 we have favourable and total are in the ratio 3:10
i.e. favourable:Favourable+unfavourable= 3:3+7
Hene odds= favourable:unfavourable =3/7
Answer is 3/7
b) Given that odds against choosing a blue block are 13/4
This means there are 4 blue blocks and 13 other colour blocks.
Total blocks= 13+4 =17
No of blue blocks = 4
Probability of selecting blue block=4/17
2+2=4
a^2+b^2=c^2
15^2-4^2
=225-16
=209
Answer:
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Step-by-step explanation:
The margin of error of a confidence interval is given by:

In which
is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the values of z, and thus, we wider the confidence interval is.
In this question:
The narrower C.I. is the 95%, and the wider is the 99%. So
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Answer:

Step-by-step explanation:
We want to find the inverse of
![y = \sqrt[3]{ \frac{x}{3} + 1}](https://tex.z-dn.net/?f=%20y%20%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7Bx%7D%7B3%7D%20%2B%201%7D%20)
We interchange x and y to get:
![x= \sqrt[3]{ \frac{y}{3} + 1}](https://tex.z-dn.net/?f=x%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7By%7D%7B3%7D%20%2B%201%7D%20)
We solve for y;

Multiply through by 3

Subtract 1 from both sides:

Therefore the inverse is
