Y=mx+b
m=slope
slopes of parallel lines are the same
y=3/4x+2
the slope is 3/4
the slope of a line parallel to that is 2/3
Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
<h3>
Answer: Choice D) 3.7 * 10^6</h3>
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Explanation:
Place a decimal point between the first two digits 3 and 7.
Now ask yourself how you can go from 3.7 back to the original value. Notice we can move the decimal point 6 spots to the right to go from 3.7 back to 3,700,000
Therefore, the exponent over the 10 is 6. The exponent is positive to mean we move the decimal point to the right. If we had a negative exponent, then we'd move left.
You can use a calculator to confirm that 3.7 * 10^6 = 3,700,000
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Side notes:
3,700,000 = 3 million, 7 hundred thousand
3,700,000 = 3.7 million
Answer: 5 classes.
Step-by-step explanation:
You can use the rule to determine the number of classes for a frequency distribution.
The rule says that where
is the number of classes
is the number of the data points
We know that the number of data points is = 20.
Next, we start searching for so that we can get a number 2 to the that is larger that the number of data points.
This suggests that you should use 5 classes.
Answer:
probability of Number of earth quakes in a fixed interval of time is to be determined at a mean rate of 1.2 times once every 22 years.
Step-by-step explanation:
Poisson probability distribution is used to determine probability of an event in a fixed interval of time and space given that the event occurs with known mean rate and independently of time since its last occurance.
In this scenario,
Mean is 1.2 times once every 22 years.
probability of number of earth quakes in any fixed interval of time is to be determined
occurance of event that is number of earth quake in a fixed interval is independent variable.
