Answer:
The answer is 1/3x-1
Step-by-step explanation:
Let's simplify step-by-step.
5/6x−7−(1/2x−6)
Distribute the Negative Sign:
=5/6x−7+−1(1/2x−6)
=5/6x+−7+−1(1/2x)+(−1)(−6)
=5/6x+−7+−1/2x+6
Combine Like Terms:
=5/6x+−7+−1/2x+6
=(5/6x+−1/2x)+(−7+6)
=1/3x+−1
Answer:
=1/3x−1
Remember that, for independent events, the probability that both occurr is the product of the individual probabilities.
a) Probability of being contacted: 78% = 0.78
Probaility of refusing: 1 - 22% = 1 -0.22 = 0.78
Combined probability: 0.78*0.78 = 0.6084
b) The probability of failing to contact or making contact and not geeting them to agree 1 - the probability of contacting and getting them to agree.
The probabilityof contacting and getting them to agree is 0.78*0.22 = 0.1716
The the answer to this question is 1 - 0.1716 = 0.8284
Answer:diameter=9.92m
Step-by-step explanation:
Area=77.28
π=3.14
Area=π x (d/2)^2
77.28=3.14 x (d/2)^2
Divide both sides by 3.14
77.28/3.14=(3.14x(d/2)^2)/3.14
24.6=(d/2)^2
Take them square root of both sides we get
d/2=√(24.6)
d/2=4.96
d=4.96 x 2
d=9.92
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let w represent the width, hence:
length = w + 33, height = w - 13
Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w
V(w) = w³ + 20w² - 429w
Rate of change = dV/dw = 3w² + 40w - 429
When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423
When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118
Rate = 10118 - 5423 = 4695 in³/in
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
Find out more on equation at: brainly.com/question/2972832
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