Answer:
A=920 ft.
Step-by-step explanation:
Using the formulas
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving for A
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=8·20+17·20+15·20+1
2·﹣84+2·(8·17)2+2·(8·15)2﹣174+2·(17·15)2﹣154=920
Answer:
Step-by-step explanation:
Given the function
y = —⅔x + 7
The domain of the function is
The input,
x = { -12, -6, 3, 15}
When x = -12 what is y
y = —⅔x + 7
y = — ⅔ × — 12 + 7
Note that, - × - = +
y = 8 + 7
y = 15
Then, when x = -12, y = 15
When x = -6
y = —⅔x + 7
y = — ⅔ × — 6 + 7
Note that, - × - = +
y = 4 + 7
y = 11
Then, when x = -6, y = 11
Also, x = 3
y = —⅔x + 7
y = — ⅔ × 3 + 7
Note that, -×+ = -
y = —2 + 7
y = 5
Then, when x = 3, y = 5
Also, x = 15
y = —⅔x + 7
y = — ⅔ × 15 + 7
Note that, - × + = -
y = — 10 + 7
y = —3
Then, when x = 15 , y = —3
Check attachment
This is one to one mapping
x= -6 y= 11
x= 3 y= 5
x= 15 y= -3
x= -12 y=15
Answer: E(X) = 30; Var[X] = 180
Step-by-step explanation: This is a <u>Bernoulli</u> <u>Experiment</u>, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate <em><u>Expected</u></em> <em><u>Value</u></em>, which is the mean, in these conditions:

r is number of times it is repeated
p is probability it happens
Solving:

E(X) = 30
<u>Variance</u> is given by:
![Var[X]=\frac{r(1-p)}{p^{2}}](https://tex.z-dn.net/?f=Var%5BX%5D%3D%5Cfrac%7Br%281-p%29%7D%7Bp%5E%7B2%7D%7D)
![Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}](https://tex.z-dn.net/?f=Var%5BX%5D%3D%5Cfrac%7B5%281-1%2F6%29%7D%7B%281%2F6%29%5E%7B2%7D%7D)
![Var[X]=5.\frac{5}{6}.6^{2}](https://tex.z-dn.net/?f=Var%5BX%5D%3D5.%5Cfrac%7B5%7D%7B6%7D.6%5E%7B2%7D)
Var[X] = 180
Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.
Answer:
8.5 < 7
Step-by-step explanation:
8.5 is less than 7.
doesn't verify mathematically.
Answer:
33
Step-by-step explanation:
For every 5 squares, two are red and three are green. So 3/5 of the squares are green.
3/5x55=33