Answer:
(a) The 26th percentile for the number of chocolate chips in a bag is 1185
(b) The number of chocolate chips in a bag that makes up the middle 96% of the bags is between 1020 and 1504
Step-by-step explanation:
From the question, we have the following values:
μ =1262 and σ =118
(a) Let the value of x represents the 26th percentile. So the 26th percentile means 26% data is less than x. We can use the standard normal table to get the particular z-value that corresponds to this percentile.
P( Z<-0.65 )=0.2578 which is approximately 0.26
So for 26th percentile z-score will be -0.65.
Mathematically;
z-score = (x-mean)/SD
-0.65 = (x-1262)/118
-76.7 = x -1262
x = 1262-76.7 = 1185.3
This value is approximately 1,185
(b) Using a graph of standard normal distribution curve, if middle is 96% , then at both tails 2% each.
From z-table, we can find the closest probability;
P(-2.05<z<2.05) = 0.96
So we have two x values to get from the individual z-scores
-2.05 = (x-1262)/118
x = 1020(approximately)
For 2.05, we have
2.05 = (x-1262)/118
x = 1262 + 2.05(118) = 1504 (approximately)
We can factor x^2-4x-21 to get (x+3)(x-7)
Notice how
3 plus -7 = -4
3 times -7 = -21
which helps us factor the trinomial
After you've factored it, we can cancel out a pair of (x+3) terms leaving us with the final answer of x-7
Note: the cancellation happens because (x+3)/(x+3) = 1. Divide anything (except 0) over itself and you'll get 1. A simpler example of this is 5/5 = 1.
Answer:
11
Step-by-step explanation:
Change 2 3/4 to a mixed number.
11/4
Then multiply
11/4 • 4
Get rid of common denominators. Which are the 4s.
So you're left with 11.
Or you could just turn 4 into 4/1.
Which would be 44/4.
Which simplifies to 11.
Hope this helps.
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the x and y of Y=x+7 is x=-7 and y=7 not 100% sure pls someone recheck