I got the last answer on the screen.
Answer:
80
Step-by-step explanation:
We have, 75% × x = 60
or,
75/ 100 × x = 60
Multiplying both sides by 100 and dividing both sides by 75,
we have x = 60 × 100/75
x = 80
The area of a parallelogram is equal to the base multiplied by the height. So in this instance it would be (3x+5)*(7x-1). Foil out the binomials. 21x^2+35x-3x-5 Combine like terms. 21x^2+32x-5
The area is 21x^2+32x-5
The tree diagram for the probability is shown below
P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.
This is a case of conditional probability.
The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)
P(Clay∩Positive) = 0.21×0.48 = 0.1008
P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767
Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)
Answer:
see explanation
Step-by-step explanation:
Given
+ 2c + 11
=
-
+ 2c + 11
= 3c - 1 + 2c + 11
= 5c + 10
(b)
We have the expression
5c + 10 ← factor out 5 from each term
= 5(c + 2)