The weights of a certain brand of candies are normally distributed with a mean weight of 0.8547 g and a standard deviation of 0.0511 g. A sample of these candies came from a package containing 463 candies, and the package label stated that the net weight is 395.2 g. (If every package has 463 candies, the mean weight of the candies must exceed StartFraction 395.2 Over 463 EndFraction 395.2 463equals=0.8535 g for the net contents to weigh at least 395.2 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8535 g. The probability is .(Round to four decimal places as needed.)
Answers
Answer:
There is a 69.15% probability that it weighs more than 0.8535 g.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8547 g, so .
We have a sample of 463 candies, so we have to find the standard deviation of this sample to use in the place of in the Z score formula. We can do this by the following formula:
Find the probability that it weighs more than 0.8535
This is 1 subtracted by the pvalue of Z when
So
has a pvalue of 0.3085.
This means that there is a 1-0.3085 = 0.6915 = 69.15% probability that it weighs more than 0.8535 g.
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for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?
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23 greater than b is at least -276
K(8,11)
J(-3,1)
*7
*-6
*5
*-5
Answers
Answer:
(D)5
Step-by-step explanation:
Given the point J(-3,1) and K(8,11).
The line segment that divides the segment from J to K in any given ratio can be determined using the formula.
In the given case:
, m:n=2:3
Since we are to determine the y-coordinate of the point that divides JK into a ratio of 2:3, we have:
The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.
The correct option is D.
Answer:
The answer is actually C(5) not D
Step-by-step explanation:
Answers
Answer:
3 1/8
Step-by-step explanation:
Wheres my candy!!
Answer:
3 1/8
Step-by-step explanation:
10 - 6 7/8 = 3 + 1/8
Answers
Answer:
Step-by-step explanation:
x=-12
Answer:
x= -12
Step-by-step explanation:
savings
10%
movies
15%
other
10%
books
15%
clothing
How many dollars of Fran's weekly pay is spent on books and clothing?
O
A. $25
OC. $50
O D. $100
OB. $30
Answers
Answer:
C. $50
Step-by-step explanation:
She spends 10% of her pay on books and 15% on clothing, for a total of 25% on books and clothing.
0.25 × $200 = $50
Fran spends $50 of her pay on books and clothing.
O B. (f- g)(x) = -4x2 + 10x
O c. (f- g)(x) = 4x2 - 10x
O D. (f- g)(x) = -4x2 - 2x
Answers
The (f-g)(x) is- 4x²+ 10x
What are functions?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element ofX. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Given
f(x) = - x² + 6x -1
g(x)=3x² - 4x - 1
(f-g)(x) = - x² + 6x -1 -(3x² - 4x - 1)
(f-g)(x) = - x² + 6x -1 - 3x² + 4x + 1
(f-g)(x) = - 4x² + 10x
(f-g)(x) = - 4x²+ 10x
To know more about codomain refer to :
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O x2 + 4x + 2
O 4x2 + 2x + 4
O 4x2 + 8x + 4
o 10x2 + 20x + 1
Answers
The equivalent form of f(x) + g(x), if f(x) = x² + 2x + 1 and g(x) = 3(x + 1)² is
4x² + 8x + 4, so option C is correct.
What is a function?
In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.
Given:
f(x) = x² + 2x + 1 and g(x) = 3(x + 1)²
Calculate the equivalent form as shown below,
f(x) + g(x) = x² + 2x + 1 + 3(x + 1)²
Simplify the above equation,
f(x) + g(x) = x² + 2x + 1 + 3(x² + 2x + 1)
f(x) + g(x) = x² + 2x + 1 + 3x² + 6x + 3
f(x) + g(x) = 4x² + 8x + 4
To know more about function:
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