Answer:
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Step-by-step explanation:
Consider the provided information,
Let X is the number of defective bulbs.
Ten light bulbs are randomly selected.
The likelihood that a light bulb is defective is 5%.
Therefore sample size is = n = 10
Probability of a defective bulb = p = 0.05.
Therefore, q = 1 - p = 1 - 0.05 = 0.95
Mean of binomial random variable: 
Therefore, 
Variance of binomial random variable: 
Therefore, 
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
The correct answer is B. If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.
To figure this out, first find 15% of 80 and then 25% of 48.
To find 15% of 80, you can first find 10% of 80 which is 8(just move the decimal one place to the left). The remaining 5% will be half of 8 since 8 is 10%. Add both the numbers up and you will get 12. (8+4=12)
To find 25% of 48, you can divide 48 by 4. Since percent means 'out of 100', 25% is 25 of 100. 100 divided by 25 is equal to 4. So, 48 divided by 4 is equal to 12.
So, the final answer is B. They both equal to 12.
Hope it helps :)
This is a false statement.
When you are solving using square roots, you need to be aware that answers can be both positive and negative. When we solve this, you see there are two possible answers.
x^2 - 9 = 0
x^2 = 9
x = +/- 3
While 3 is an answer, so is -3. If we square either of those numbers, we get 9, which will satisfy the equation.
<u><em>Answer:</em></u>
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<u><em>Explanation:</em></u>
<u>Before we begin, remember the following rules:</u>
<u>1- Distribution property:</u>
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<u>2- Simplification of fractions:</u>
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<u>3- Signs in multiplication:</u>
+ve * +ve = +ve
-ve * -ve = +ve
+ve * -ve = -ve
<u>Now, for the given problem, we have:</u>
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<u>Starting with the distributive property:</u>
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..................>This corresponds to option 1
<u>Now, we simplify the output from the above step:</u>
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................> This corresponds to option 5
Hope this helps :)