Answer:
perpendicular to a given line passing through a specific point. ... solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. ... Using the slope of 3/5 and the y-intercept of 43/5, the answer is: ...
Answer:
4.32% of the bottles will have more than 12.86 ounces.
Step-by-step explanation:
This is a normal distribution problem with
Mean = μ = 6 ounces
Standard deviation = σ = 0.4 ounce
Let the z-score of 4.32% of the bottles be z' and the corresponding ounces be x'
The z-score for any is the value minus the mean then divided by the standard deviation.
z' = (x' - μ)/σ
P(x > x') = P(z > z') = 0.0432
Using the normal distribution table
P(z > z') = 1 - P(z ≤ z') = 0.0432
P(z ≤ z') = 1 - 0.0432 = 0.9568
z' = 1.715
1.715 = (x' - 6)/0.4
x' - 6 = 4(1.715)
x' = 6 + 6.86 = 12.86 ounces.
4.32% of the bottles will have more than 12.86 ounces.
Hope this Helps!!!
We are given that BA is perpendicular to BD, so that must mean that <em>m∠ABD </em>is a right angle, or 90º. This means: (8x - 10) + (4x + 52) = 90º, since both of the angles add up to become a right angle. We have to solve for x in order to find <em>m∠CBD.</em>
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<u>PART 1</u>
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Equation: (8x - 10) + (4x + 52) = 90
Let's add the like values together first.
Let's subtract 42 from both sides of the equation to isolate the variable we are solving for, x. Our goal is to isolate it completely to get a value that is equal to x.
Divide both sides by 12 to get our final answer for x.
<u>PART 2</u>
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Now that we have x, we simply plug it into our equation for <em>m∠CBD. </em>
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Multiply 4 and add 52.
Answer: the second option (1/2)
Step-by-step explanation:
numbers greater than 3: 4, 5, and 6
3 numbers
so 3/6 or 1/2
1/2 or 50% so the second option
U plot ur answers on the graph and u will fid it