Answer:


Step-by-step explanation:
To simplify the square roots, break the number under the square root into factors. Any factors which are perfect squares may be simplified to outside the square root.

and
2x2+2x-1=
4+2(-3)-1=
4+(-6)-1=
4+(-7)=
-3
Lantana needs $1776 to reach its goal of $14000
Since giving you the exact answer wouldn't help you learn anything, read this:
to find average get all of the values (98,111,106) and add them up. then do the sum of 98+111+106 divided by total number if values (3)
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)