Answer:
You would expect 75 cartons with at least 1 broken egg.
There are likely to be 222 DVD players that are defective.
Step-by-step explanation:
Both examples given in this question represent a ratio of broken or defective to a sample number of cartons or DVD players. In order to find how many would be broken or defective overall, you can set up equivalent ratios, or proportions.
Egg Cartons: 
'x' represents the number of cartons out of 500 that would be expected to have at least 1 broken egg. To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 500 and then multiply the same factor by the numerator to find 'x'. In this case 500/20 = 25, so the factor is 25. 3 x 25 = 75, so you have 75 expected cartons with a broken egg.
DVD Players: 
'x' represents the number of DVD players out of 3700 that would be expected to be defective. To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 3700 and then multiply the same factor by the numerator to find 'x'. In this case 3700/50 = 74, so the factor is 74. 3 x 74 = 222, so you have 22 likely defective DVD players.
Using the normal distribution, we got that expression for the z-score of her test score is
<h3>What is Normal
Probability Distribution?</h3>
it's a type of probability distribution which is symmetric about the mean, it gives data near the mean are more frequent than data far from the mean.
Given that mean =
and standard deviation =
X=73
we know that formula of z-score is
Hence Z-score can be calculated as
Using the normal distribution, we got that expression for the z-score of her test score is
To learn more about the normal distribution visit : brainly.com/question/24663213
Answer:
Try a bottle liter calculator?
Step-by-step explanation:
Answer:
5:9
Step-by-step explanation:
So since 18 chose to do oral report, that means (28-18) or 10 students decided to do a written report.
To find the written to oral report ration, we need to find for each student that did a written report, how many did an oral report? We can express this as a fraction and simplify to get the simplified ratio. So the the written will be the numerator and the oral will be the denominator: 10/18, to simplify this simply divide both sides by 2, to get 5/9 which gives us the simplified ratio of 5:9 meaning that for every 5 students who decided to do a written report 9 students decided to do an oral report.
I cant see your work very clearly so I'll work it out below:-
f(x + Δx) = (x + Δx)^2 - 2(x + Δx) - 3
= x^2 + 2x(Δx) + (Δx)^2 - 2x - 2(Δx) - 3
= x^2 - 2x + (Δx)^2 + 2x(Δx) - 2(Δx) - 3
