Answer:
(-5,1)
Step-by-step explanation:
Add it together
3x - 2x = x
y - y = 0
9 - 14 = -5
x = -5
Choose a random equation, doesn't matter.
3x + y = -14
3(-5) + y = -14
-15 + y = -14
y = -14 + 15
y = 1
Answer:
Y=1 X=0
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
The nearest whole numbers from those listed are
10
3
106
The estimated sum = 119
The actual sum is 118.668
When you are doing a test, being able to estimate is a very powerful skill. 119 is close enough to the actual answer that you know your actual answer is likely correct.
Answer:
24 in³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height.
The volume of a pyramid is given by the formula ...
V = (1/3)Bh
where B and h have the same definitions.
For a pyramid with the same B and h as a prism, the volume is 1/3 that of the prism:
(1/3) × (72 in³) = 24 in³ . . . . volume of the pyramid
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)