Step-by-step explanation:
There are several ways to solve this, but the only one I remember how to do is with the pythagorean theorem. The distance between A and B is the same as a hypotenuse of a triangle with a height the absolute value of y1-y2 and a base of the absolute value of x1-x2.
For example, in the first question, the coordinates are (1,2) and (9,8), so we have a triangle with base 8(9 - 1) and 6(8 - 2). Now we just need to plug that into the pythagorean theorem like so:
or plugging our numbers in,
The answer is the radical of the answer, in this case 10.
So if this makes sense, go ahead and try to work the next three out on your own, and if you still need help let me know <:
Hope this helps Bucke!
Answer:
E(X) = 41.196
Var(X) = 17.975
E(Y) = 40.75
Var(Y) = 9.922
Step-by-step explanation:
40 + 41 + 35 + 47 = 163
The probability that a student was on the bus is proportional to how many students were on the bus. So, for bus a, its = 40/163 ; for bus b, it's = 41/163 ;for bus c, it's 35/163= ;for bus d, it's = 47/163
A) E(X) = 40(40/163) + 41(41/163) + 35(35/163) + 47(47/163)
E(X) = 6715/163
E(X) = 41.196
B) Var(X) = [(40 - 41.196)²•(40/163)] + [(41 - 41.196)²•(41/163)] + [(35 - 41.196)²•(35/163)] + [(47 - 41.196)²•(47/163)]
Var(X) = (1.430416 + 1.575056 + 1343.66456 + 1583.261552)/163
Var(X) = 2929.931584/163
Var(X) = 17.975
C) The bus driver has a 1/4 probability on being on any of the buses. Thus,
E(Y) = 163/4
E(Y) = 40.75
D) Var(Y) = (40.75 - 40)²/4 + (40.75 - 41)²/4 + (40.75-35)²/4 + (40.75-47)²/4
Var(Y) = 0.140625 + 0.015625 + 9.765625
Var(Y) = 9.922
Answer:
The probability of successful long hit is greater than 0.7083
Step-by-step explanation:
Solution
The expected value for long hit is given below
P (successful hit) * 4.2 + P (Unsuccessful hit) *5.4
so,
= P * 4.2 + (1-p) * 5.4
= 5.4 - 1.2p
Now,
If the expected value of long hit is less than that of the short it
Then,
5.4 - 1.2p <4.55
P> (5.4 - 4.55)/1.2
P> 0.7083
Therefore the probability of successful long hit is greater than 0.7083
Note:
Due to my research and findings to this example, the complete question for is attached below, i solved or Question 2(d) only
Answer:
f(x) = -2.5x + 4
Step-by-step explanation:
If you go down 5 units and 2 units to the right then there is another point so the slope is -5/2 which is the same thing as -5 divided by 2. So it’s -2.5 as the slope and for the y- intercept, there is only one point on there and it is on 4. So the function is
f(x) = -2.5x + 4
I hope this helps
(I deserve to be marked the brainliest)
X=3
2=11
False
<span>5 quarters; 7 dimes
</span><span>67 points</span>