Answer:
P(B | T)=3/13
Step-by-step explanation:
The question is missing the Venn diagram that shows the value of each variable.
From the Venn diagram we can see there are 10 paintings that not T and not B. That means the total number of paintings that either T or B is
P(T∪B) = 60-10= 50 paintings.
There are x(x-2) + x paintings from 20th century
P(T)= x(x-2) + x = x^2 - x
There are 2x+8 +x British paintings.
P(B)= 2x+8 +x = 3x +8
There are 2 paintings that both T and B
P(T∩B)= x
Using union equation we can find the x
P(T∪B) = P(T) + P(B) - P(T∩B)
50= x^2 - x + 3x +8 - x
x^2 + x + 8 - 50 = 0
x^2 + x + -42 =0
(x-6) (x+7)=0
x1= 6 x2=-7
Since x can't be minus, then x=6.
The question asking how much conditional probability that a random T paintings is also British. The calculation will be:
P(B|T)= P(B∩T) / P(B) = x/ (3x +8)= 6/(6*3+8)= 6/26= 3/13
Answer:
4%
Step-by-step explanation:
Since she first goes down 20% you would do 3000 times 20 which is 60000 and divided by 100 which is 600 and you would subtract 600 from 3000 which is 2400 and then you would multiply that by 30 which is 72000 and then you would divide by 100 which is 720 and add that to 2400 which is 3120 and to find the percent change from 3000 to 3120 you would subtract 3120 by 3000 which is 120 and you would divide that by 3000 which is 0.04 and multiply that by 100 which is 4 so the percent change would be 4%
A = 0.5 x 10.4 x 16.9
A = 87.88
The area of the triangle is 87.88 ft²
QUESTION 1: (2, -3) and (5, -4)
<u>Y2 -Y1</u>
X2 -X1
<u>-4 - -3</u>
5 - 2
= - <u>1</u>
3
QUESTION 2: (3, -4) Slope = 6
About Point Slope Form:
- Y -Y1 = m (x - X1)
- m is the slope
- Y1 & X1 is a point on the line
- The form allows you to identify the slope & the point on the line
Y - -4 = 6 (x - 3)
Given:
The length of a rectangle is 3 cm less than its width.
The area of the rectangle is 270 cm².
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then,
Area of a rectangle is:
Splitting the middle term, we get
Width of the rectangle cannot be negative. So, the only value of x is 18.
Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.