Answer:
Here is a link to help you. This is a very great video that will help you understand proportionalities .
Step-by-step explanation:
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/7th-constant-of-proportionality/v/constant-of-proportionality-from-equation
Answer:
Arianna is correct
Step-by-step explanation:
She is correct because they need to find how much is the discounted price, which is 3. So to see what percentage it is, they need to see how much 3 is worth in comparison to 15. If we spilt 15 into 5 parts to make every part worth 20%, the answer would be 3. Thus Arianna is correct.
The interval of hours represents the lifespan of the middle 68% of light bulbs, using the empirical rule is, 1210 hours to 1390 hours.
<h3>What is empirical rule?</h3>
According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

Here, we had where mean of distribution of X is \mu and standard deviation from mean of distribution of X is \sigma
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400 hours and a standard deviation of 50 hours. Thus,

Using the empirical rule, the interval of hours represents the lifespan of the middle 68% of light bulbs is,

Thus, the interval of hours represents the lifespan of the middle 68% of light bulbs, using the empirical rule is, 1210 hours to 1390 hours.
Learn more about empirical rule here:
brainly.com/question/13676793
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9514 1404 393
Explanation:
<u>Part B</u>:
Draw an open circle at x=5. Shade that portion of the number line that exists to the right of the open circle. The solution set is the shaded portion of the number line.
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<u>Part C</u>:
Any value from the shaded portion of the number line can be used to check the inequality is true. The value at the open circle, or any value to the left of it can be used to check that the inequality is false. For example, one might use values of -5, 5, and 10. Choosing values that are multiples of 5 can make the arithmetic easier.
<u>x = -5 (expect false)</u>
-2/5(-5) < -2
10 < -2 . . . . False
<u>x = 5 (expect false)</u>
-2/5(5) < -2
-2 < -2 . . . . False
<u>x = 10 (expect true)</u>
-2/5(10) < -2
-4 < -2 . . . . True