Answer:
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- <u>1. As a fraction: 9/50</u>
- <u>2. As a proportion: x/1 = 9/50</u>
- <u>3. As a percentage: 18%</u>
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Explanation:
<u>1. As a fraction:</u>
Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:
- Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week
<u>2. As a proportion:</u>
A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.
Hence, the proportion that shows the probability is:
Where x is the probability.
<u>3. As a percentage</u>
You just have to multiply the probability by 100:
Answer:
Lateral surface area of the storage shed = 336 ft²
Step-by-step explanation:
The picture is the complete question.
The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.
lateral area of a rectangular prism = 2h (l + w)
where
l = length
h = height
w = width
h = 8 ft
l = 14 ft
w = 7 ft
lateral area of a rectangular prism = 2h (l + w)
lateral area of a rectangular prism = 2 × 8 × (14 + 7)
lateral area of a rectangular prism = 16 (21)
lateral area of a rectangular prism = 336 ft²
Lateral surface area of the storage shed = 336 ft²
3x^2 + 11x - 4 = 0
x^2 + (11/3)x = 4/3
(x+11/6)^2 = 169/36
Answer is B.
Answer:
y=7x+3
Step-by-step explanation:
Hi there!
We are given the equation y=7x-5 and we want to find the equation of the line that is parallel to it, and contains the point (4,31)
First, let's find the slope of y=7x-5, since parallel lines have the same slopes
The line y=7x-5 is written slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since 7 is in the place of where m is, the slope of the line is 7
It's also the slope of the line parallel to it.
We can substitute 7 as m into the formula y=mx+b for our new line:
y=7x+b
Now we need to find b
Since the equation will pass through the point (4, 31), we can use it to solve for b; substitute 31 as y and 4 as x
31=7(4)+b
Multiply
31=28+b
Subtract 28 from both sides
3=b
Substitute 3 as b
y=7x+3
Hope this helps!
