Answer:
Step-by-step explanation:
Some of the expressions that can be derived that have the values of 12 are:
i. 2a = 2 x 6
= 12
ii. 3b = 3 x 4
= 12
iii. (b + c) x a = (4 - 2) x 6
= 2 x 6
= 12
iv. 2b + = (2 x 4) + (-2 x -2)
= 8 + 4
= 12
v. -
= (4 x 4) - (-2 x -2)
= 16 - 4
= 12
vi. - b = (-2 x -2 x -2 x -2) + 4
= 16 - 4
= 12
An equation is formed of two equal expressions. The value of 'a' in the given equation is 6.452.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation can be solved for 'a' as shown below,
0.75a = 10 - 0.8a
0.75a + 0.8a = 10
1.55a = 10
a = 6.452
Hence, the value of 'a' in the given equation is 6.452.
Learn more about Equation:
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Answer:
b) μ = 2 and σ = 1.29
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6</em>
<em>Given that the probability of labelled '1'</em>
<em> </em> =0.16
<em> q = 1-p = 1- 0.16 = 0.84</em>
Let 'X' be a random variable in binomial distribution
The mean of the binomial distribution
μ = n p
μ =
<em>The mean of the binomial distribution = 2</em>
<u><em>Step(ii):-</em></u>
The standard deviation of X
σ
σ =
σ =
<em>The standard deviation of the binomial distribution</em>
<em> </em> σ =
<u><em></em></u>
<u><em></em></u>
The area of a circle is represented by the equation:
We know that the diameter is two times the radius:
So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:
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So then we can plug this radius in to the equation for the area of a circle:
We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:
Now we know that the area of this circle is 452.16 square meters.