Answer: 
Step-by-step explanation:
First, it is important to know that the scale factor is defined as a ratio of two corresponding side lengths of similar figures.
Similar figures are defined as those figures in which the ratio of their corresponfing side lengths are equal and their corresponding angles are congruent (which means that they have the same measure).
In this case, you know that the rectangles given in the picture are similar.
Therefore, you can find the scale factor that was applied to the first rectangle to get the resulting image, dividing the lenghts of their corresponding sides.
Then, this is:
You need to find the slope of the line too. they use m to represent slope.
point slope equation is y - y1 = m(x -x1)
they said to use point (-2, -2)
y -(-2) = 1(x -(-2))
y +2 = 1(x +2)
Anita because you have to remember fractions are just division problems, 5÷6=.83 repeating (3 is repeating) and 6÷7= about .86
The value of c such that the function f is a probability density function is 2
<h3>How to determine the value of c?</h3>
The density function is given as:
f(x) = cxe^(−x^2) if x ≥ 0
f(x) = 0 if x < 0.
We start by integrating the function f(x)
∫f(x) = 1
This gives
∫ cxe^(−x^2) = 1
Next, we integrate the function using a graphing calculator.
From the graphing calculator, we have:
c/2 * (0 + 1) = 1
Evaluate the sum
c/2 * 1 = 1
Evaluate the product
c/2 = 1
Multiply both sides of the equation by 2
c = 2
Hence, the value of c such that the function f is a probability density function is 2
Read more about probability density function at
brainly.com/question/15714810
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Answer:
15 times
Step-by-step explanation:
By spinning once, the probability of landing on 2 is 1/8
The probability of landing on 5 is 1/8
The probability of landing on 2 or 5 is 1/8 + 1/8 = 2/8 = 1/4
So spinning 60 times, the number of times we expect a landing on 2 or 5 will be ;
1/4 * 60 = 15 times
