Answer:
0.675675675 = 67.57%
Step-by-step explanation:
P(P₀) = 0.76
P(P₁) = 0.09
P(P₂) = 0.02
P(P₃) = 0.01
P(P₄) = 0.02
P(P₅) = 0.1
P(F) is the probability that the first painting is a forgery
P(F | P₀) = 0
P(F | P₁) = 0.2
P(F | P₂) = 0.4
P(F | P₃) = 0.6
P(F | P₄) = 0.8
P(F | P₅) = 1
P(P₅ | F) = [P(F | P₅) x P(P₅)] / {[P(F | P₁) x P(P₁)] + [P(F | P₂) x P(P₂)] + [P(F | P₃) x P(P₃)] + [P(F | P₄) x P(P₄)] + [P(F | P₅) x P(P₅)]}
P(P₅ | F) = (1 x 0.1) / [(0.2 x 0.09) + (0.4 x 0.02) + (0.6 x 0.01) + (0.8 x 0.02) + (1 x 0.1)] = 0.1 / (0.018 + 0.008 + 0.006 + 0.016 + 0.1) = 0.1 / 0.148 = 0.675675675 = 67.57%
Answer: Their total budget last year was $40,000.
Step-by-step explanation:
Given : The Smiths spend 6% of their budget on entertainment.
i.e. , The money they spend on entertainment = 0.06 x ( Total budget)
{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)
Since , this year they plan to spend $2,580 on entertainment.
i.e. 0.06 x ( Total budget ) = $2,580
On dividing both sides by 0.06 , we get
( Total budget ) = $2,580 ÷ 0.06
= $43,000
Thus , their total budget for this year = $43,000
Also, Their total budget this year is $3,000 more than last year.
Therefore , their last year total budget = ( Total budget this year ) - $3000
= $43,000 - $3000
= $40,000
Hence, their total budget last year was $40,000.
Hope this helps! Also can I have brainliest? It’s ok if no :) have a nice day.
To solve this problem we can find the area of the whole rectangle, then find the area of the smaller white rectangle inside the whole rectangle. Lastly, we can subtract the area of the smaller rectangle from the area of the whole rectangle which leaves us with the area of the shaded region.
Area of whole rectangle = length x width
= (3x + 6) (2x + 4)
= 6x squared + 24x + 24
Area of small rectangle = length x width
= (x-3) (x - 1)
= x squared - 4x + 3
Area of shaded region = area of whole rectangle - area of small rectangle
= 6x squared + 24x + 24 - x squared + 4x - 3
= 5x squared + 28x + 21
Answer:
66 m²
Step-by-step explanation:
A = ½ (a + b) h
A = ½ (10 + 12) (6)
A = 66
The area is 66 m².
Answer:
multiply 5 x 4 = 20
multiply the dimensions of the lighter square
after all the multiplying you subtract your answers and you should get the VERY final answer
*don't add because it's area; just multiply
