Based on the information given, it should be noted that the correct option is C. 3x - 8.
<h3>
Solving equations.</h3>
From the information given, it was stated that Kim has 8 dollars less than twice Ricky. This will be:
= (2 × x) - 8.
= 2x - 8
Also, Ricky has x dollars. Therefore, the amount that they have together will be:
= 2x - 8 + x
= 3x - 8
Learn more about equations on:
brainly.com/question/13763238
Answer:Given:
P(A)=1/400
P(B|A)=9/10
P(B|~A)=1/10
By the law of complements,
P(~A)=1-P(A)=399/400
By the law of total probability,
P(B)=P(B|A)*P(A)+P(B|A)*P(~A)
=(9/10)*(1/400)+(1/10)*(399/400)
=51/500
Note: get used to working in fraction when doing probability.
(a) Find P(A|B):
By Baye's Theorem,
P(A|B)
=P(B|A)*P(A)/P(B)
=(9/10)*(1/400)/(51/500)
=3/136
(b) Find P(~A|~B)
We know that
P(~A)=1-P(A)=399/400
P(~B)=1-P(B)=133/136
P(A∩B)
=P(B|A)*P(A) [def. of cond. prob.]
=9/10*(1/400)
=9/4000
P(A∪B)
=P(A)+P(B)-P(A∩B)
=1/400+51/500-9/4000
=409/4000
P(~A|~B)
=P(~A∩~B)/P(~B)
=P(~A∪B)/P(~B)
=(1-P(A∪B)/(1-P(B)) [ law of complements ]
=(3591/4000) ÷ (449/500)
=3591/3592
The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):
===....B...~B...TOT
..A . 9 . . 1 . . 10
.~A .399 .3591 . 3990
Tot .408 .3592 . 4000
So P(A|B)=9/408=3/136
P(~A|~B)=3591/3592
As before.
Step-by-step explanation: its were the answer is
Dividing fractions is the same thing as multiplying by the reciprocal
3/4 x 24/1 = 18
Answer: the second one
Step-by-step explanation:
cuz i say so
The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.
<h3>The types of transformation.</h3>
In Mathematics, there are four (4) main types of transformation and these include the following:
- Dilation
- Rotation
- Reflection
- Translation
<h3>What is a translation?</h3>
In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.
In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:
Original function (x, y) → New function (x + 2, y + 5)
y = -1/3|x| → y = -1/3|x + 2| + 5
Read more on translation here: brainly.com/question/20720324
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