Answer:
The answer is below
Step-by-step explanation:
a) Given that the number of sample (n) = 300, therefore since n > 30, the distribution of the sample means is going to be normally distributed.
b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.
c) The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:
30 because tener is 6 sides and you do 6 times 5 to get 30
The correct answer is the first one(a): To get the system B,..., the first equation multiplied by 4...
Explanation:
1. Let us first multiple the first equation in System A with 4, we would get:
4(2x - y) = 4 * 3
=> 8x - 4y = 12 --- (A)
Now add the equation (A) and the second equation of System A:
8x - 4y = 12
3x + 4y = 10
------------------
11x = 22
Hence,
System B:
2x - y = 3
11x = 22
-i
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°
What we are looking for:
Toby's Angle = ?
The distance x = ?
We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.
Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°
Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
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x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m
∴The distance, x, between two landmarks is 69.31m
Answer:
It would be a profit of .35 cents
Step-by-step explanation:
