Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)
Perpendicular lines always have slopes that are negative reciprocals. For example, 2 and -1/2. 3/4 and -4/3.
To determine whether a line is perpendicular to 
, we must first determine its slope. Rearrange the given equation into slope-intercept form:
From this, we can clearly tell that the slope (<em>m</em>) of the line is 
.
The negative reciprocal of is 2. Therefore, the slope of a perpendicular line would be 2.
Therefore, the correct answer option would be .
I hope this helps!
Every year, the price of the smartphone is the 
of the price of the previous year (since we lose the 
, we remain with the ).
Since can be written as 
, the price after one year will be
After two years, the price is the of the price after one year:
And so on: after three years we have
So, the answer is somewhere between three and four years.
Answer:
April
Step-by-step explanation:
To solve, you find the maximum of the polynomial function. You can do this by either graphing or plugging in the values in a T chart.
I graphed the function, provided down below.
As you can see, the highest value in the graph is the middle most point, aka (4,1). Count down the months of the year to 4, and you'll find that April is the 4th month of the year.
Answer:
If two angles in standard position have the same terminal side, they are called coterminal angles.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation
The approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds is 0.4880 ⇒ A
Step-by-step explanation:
To find the probability of a random variable X which has a normal distribution do that
- If X < b, find the z-score using the formula z = (b - μ)/σ, where μ is the mean and σ is the standard deviation
- Use the normal distribution table of z to find the corresponding area to the left of z-score
∵ The 200 meter race times at a state track meet are normally
distributed with mean of 13.56 seconds and a standard deviation
of 2.24 seconds
∴ μ = 13.56
∵ σ = 2.24
- We need to find the probability that a runner chosen at random
will have a 200 meter time less than 13.5 seconds
∵ X < 13.5
∴ b = 13.5
- Find z-score
∵ 
- Use the normal distribution table to find the area corresponding to z
∵ The corresponding area of z ≅ -0.03 is 0.4880
∴ P(x < 13.5) = 0.4880
The approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds is 0.4880
Learn more:
You can learn more about the probability in brainly.com/question/4625002
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