The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
<h3>How to evaluate the probability of a random variable getting at least some fixed value?</h3>
Suppose the random variable in consideration be X, and it is discrete.
Then, the probability of X attaining at least 'a' is written as:
It is evaluated as:
The probability distribution of X is:
x f(x) = P(X = x)
6 0.02
7 0.11
8 0.61
9 0.15
10 0.09
Worker working at least 8 hours means X attaining at least 8 as its values.
Thus, probability of a worker chosen at random working 8 hours is
P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.
By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
Learn more about probability distributions here:
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Hello!
You can separate the shape into two rectangular prisms
prism 1 - 9, 2 ,4
prism 2 - 4, 2, 8
Since the frosting is on the outside of the cake you have to find the surface area
To find the surface area you use the equation
2(wl + hl + hw)
Put in the values you know
2(9 * 2 + 4 * 2 + 9 * 4)
multiply
2(18 + 8 + 36)
Add
2(62) = 124
Now you find the surface area of the second prism
2(4 * 2 + 2 * 8 + 4 * 8)
Multiply
2( 8 + 16 + 32)
Add
2(56) = 112
Now add the two surface areas to get the surface area of the whole shape
112 + 124 = 236
The answer is 236in squared
Hope this helps!
Answer:
B
Step-by-step explanation:
If you graph y^2/361 + x^2/169=1 you will get the same graph depicted in the equation.
9514 1404 393
Answer:
B. 5x−(−4x−6)=10
Step-by-step explanation:
The first equation gives an expression for y:
y = -4x -6
When that is used in the second equation, the result is ...
5x -y = 10
5x -(-4x -6) = 10 . . . . . . after substituting; matches B
A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system.
Hope this helps!
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