Answer:B
Step-by-step explanation:
The answer is B because Dana’s savings are increasing faster.
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y = -(2/3)x - 3
To completely find the equation of the line, we have to find b, or the y-intercept. This is where the line intersects the y-axis, or the vertical axis.
<h2>To find b, we can substitute y and x with (-3, -1) because we know that this is a point which is satisfied by the equation of the line.</h2><h2 /><h3>y = -(2/3)x + b</h3><h3>Substitute (x, y) with (-3, -1)</h3><h3>x --> -3</h3><h3>y --> -1</h3><h3 /><h3>-1 = -(2/3)(-3) + b</h3><h3>-1 = 2 + b</h3><h3>b = -3</h3><h3 /><h3>y = -(2/3)x - 3</h3><h3 /><h2>Check our work. Just plug in the value of (-3, -1), and see if it works!</h2><h2 /><h3>-1 = -(2/3)(-3) - 3</h3><h3>-1 = 2 - 3</h3><h3>-1 = -1</h3><h3 /><h3>It works!</h3>
Answer:
0.1723 = 17.23% probability that randomly selected region had exactly two hits.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
535 bombs hit the combined area of 570 regions
This means that the mean number of hits per region is given by:
Find the probability that randomly selected region had exactly two hits
This is P(X = 2).
0.1723 = 17.23% probability that randomly selected region had exactly two hits.
Okay, so in order to find scientific notation you're going to either move the decimal place to the left or right in order to make your answer a number between 1 and 9. In this case you're going to need to move it right, because you need to make it bigger in order to make it a number between 1 and 9. You'll have to move the decimal 9 places to the right, which will give you the number 2. Since you are making the number bigger, your exponent will be negative. That happens anytime you move the decimal place to the right. To the left, your exponent will be positive. Therefore the answer to 1 is:
2.00X10^-9
As for number two, you must first start by using the area formula of a triangle. That equation would be
A= 1/2bh or A=bh/2 (b=base and h=height)
By plugging that in you get an area of 83,200 miles. As mentioned before, when finding scientific notation, you want a number between 1 and 9. To do so, we have to make this number smaller by moving the decimal 4 places to the left (making the exponent positive) and resulting in an answer of:
8.32X10^4 miles
