Answer: the length of the rectangle is 12 inches
Step-by-step explanation:
Let the length of the rectangle is x inches
Hence, the width is (x/2)+4 inches
Thus,
Divide both parts of the equation by 3:
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1 answer:
Answer:
2 meters
Step-by-step explanation:
We need to use trigonometry for this. The appropriate one would be tangent, which is (opposite side) divided by (adjacent side).
In this case, the opposite side of angle A is BC, which is 6 meters. The adjacent side of angle A is AB, which is the ground. Since we don't know its length, we call it x.
Now, we write:
= 6/x
To solve, we just multiply both sides by tan(x) and x:
x = 6/[tan(72)] ≈ 1.95 meters ≈ 2 meters.
Thus, the answer is 2 meters.
Hope this helps!
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Answer:
0
Step-by-step explanation:
Let X to be a random variable that looks a binomial distribution which denoted the number of employees out of the 281 who earn the prevailing minimum wage or less
The sample size n = 281
The population parameter p = 5% = 0.05
Using normal approximation for the mean.
The standard deviation is:
By using continuity correction; the sample mean x is:
x = 30 - 0.5
x = 29.5
The z statistic test can now be as follows:
Z = 4.23
Thus, the probability that company A will get a discount is
P(X ≥ 30) = P(Z >4.23)
= 1 - P(Z < 4.23)
By using the Excel function for the z score 4.23 i.e. "=1 - NORMSDIST(4.23)" we get;
= 0.0000