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:

Step-by-step explanation:
The equation of a circle with radius r and center (h, k) is:

This circle has center (-7, -4) and radius 2.
The equation is:

Hello!
<u><em>Answer: x=-9 *The answer must have negative sign*</em></u>
Explanation:
First you had to do is subtract by 4 from both sides of an equation.

Then, simplify.

Divide by -4 both sides of an equation.

Finally simplify.

It change positive to negative sign.

Hope this helps!
Thanks!
Have a great day!
-Charlie
Answer:
see below
Step-by-step explanation:
slope intercept form: y=mx+b
you are given the slope, and can plug the points in to find b.
a) -3=2/3(6)+b --> b=-7
y=2/3x+7
b)10=-8(1/2)+b --> b=14
y=1/2x+13
c)4=-3(2)+b --> b=10
y=-3x+10
Answer: 101 with a Remainder of 2
Step-by-step explanation: