If parent functin is f(x)=|x|
it is moved to the left 2 units
vertically streched by a factor of 3
and moved up by 4 units in that order
because
to move a function to left c units, add c to every x
to vertically strech function by factor of c, multiply whole function by c
to move funciotn up c units, add c to whole function
so it is 2 to the left, verteically streched by a factor of 3 then moved up 4 units
Answer:
0.0786
Step-by-step explanation:
It is given that Bartholemew had drawn the replacement of 160 tickets.
There are five tickets = [0, 0, 0, 1, 2]
Now we need to find the estimate of the ticket that has 1 on it and it turns up on the 32 draws exactly.
Since the probability of the drawing 1 out of 5 tickets is given by, ![$\frac{1}{5} = 0.2$](https://tex.z-dn.net/?f=%24%5Cfrac%7B1%7D%7B5%7D%20%3D%200.2%24)
So the binomial with the parameter of n = 160 and p = 0.2, we get
P (it turns up on exactly 32 draws) = P(X = 32)
Therefore,
![$C(160, 32)\times (0.2)^{32}\times (0.8)^{160-32}$](https://tex.z-dn.net/?f=%24C%28160%2C%2032%29%5Ctimes%20%280.2%29%5E%7B32%7D%5Ctimes%20%280.8%29%5E%7B160-32%7D%24)
= 0.0786
Answer:
9 by -2
Step-by-step explanation:
Answer:
39 is the answer
Step-by-step explanation:
12+27=39
Answer:
1) b= 39.5
2) c= 3.6
3) a=19
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing side length.
"C" is the hypotenuse. Pythagorean Theorem: a^2+b^2=c^2
1) 11^2+b^2=c^41
121+b^2=1681
121-121+b^2=1681-121
b^2=1560
b= 39.5
2) 2^2+3^2=c^2
4+9=c^2
13=c^2
c= 3.6
3) a^2+9^2=21^2
a^2+81=441
a^2+81-81=441-81
a^2=360
a=19
Hope this helps!