Step-by-step explanation:
The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.
1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))
a. The population is approximately normal.
b. The population standard deviation is known.
c. The sample taken is a random sample.
d. The population standard deviation is unknown. e
. The degrees of freedom is 0.01.
f. The sample size is greater than 30.
2. Which of the following statements is correct?
a) Parameters describe sample characteristics.
b) Statistics describe population characteristics.
c) We use statistics to estimate the value of parameters.
d) We use parameters to estimate the value of statistics
Expert Answer
The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.
To find the percentage of Snickers bars with a mass more than 21.5 grams,
use the concept of standard normal distribution.
Calculate the z-score for 21.5 grams.
The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:
z = (x - μ) / σ
where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.
Here
x = 21.5 grams
μ = 20.1 grams (mean)
σ = 0.7 grams (standard deviation)
z = (21.5 - 20.1) / 0.7
z = 1.4 / 0.7
z = 2
The percentage of values greater than the z-score in the standard normal distribution calculator.
The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.
Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.
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5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes
The Value of x and y are (x,y) = (7,3).
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
GIven equations are :
5x - 2y= 26.....(1)
y + 4 = x..........(2)
Solve by substitution :
substitute equation 2 in equation 1 and solve for y
5x - 2y= 26
5(y+4) - 2y = 26
5y + 20 -3y = 26
2y = 26 - 20
2y = 6
y = 3
now, the value of x will be :
x = y + 4
x = 3+4
x = 7
Therefore, The Value of x and y are (x,y) = (7,3).
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The product of two
consecutive whole numbers is
132. What are the two
consecutive whole numbers?
Answer:
11 and 12
Step-by-step explanation:
x(x+1)=132
x^2+x=132
x^2+x-132=0
(x-11)(x+12)=0
x = 11 or x = -12
when x=11 ,
x+1=12
11*12=132
Write 0.000 052 3 in standard form.
Answer:
523
Step-by-step explanation:
as 5 is in hundreds place
2 is in tens place
3 is in ones place
Need help with 5-8 with working out will be marking brainliest
Answer:
hope to have helped you:)
Which graph does not represent a function
Answer:
Graph D
Step-by-step explanation:
it does not pass the linear test to qualify as a function
What is the slope of line that passes through the points -2,4 and 1,-1
Answer:
-5/3
Step-by-step explanation:
-2 to 1 =3 x=3
4 to -1=5 y=-5
y/x slope=-5/3 or -1 2/3
I need some help with geometry!
Answer:
vertical
Step-by-step explanation:
What is the product of 840 and 4.6 \times 10^24.6×10
2
expressed in scientific notation?
Answer:
840
Step-by-step explanation:
840&*67---***&%%%%%:
3.864×10⁵ is the product of 840 and 4.6×10² in scientific notation
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
We need to find the product of 840 and 4.6×10²
Eight hundred forty into four point six into ten to the power of two.
840× 4.6×10²
3864×10^2
Divide and multiply by 1000
3.864×10^5
Hence 3.864×10⁵ is the product of 840 and 4.6×10²
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Please help
8th grade pre algebra
Answer:
The 1st Graph: -4/1
2nd Graph 1/3
Step-by-step explanation:
Q is between P and R. S is between Q and R. R is between Q and T. PT=34, QR=8, and PQ=SQ=SR what is the length of RT.
Answer:
22
Step-by-step explanation:
Let us interpret this problem;
---------------34-------------------
P Q S R T
----- 8 --------
-------- --------- --------
x x x
Let PQ = SQ = SR
Find RT;
QS + SR = 8
Also;
x + x = 8
2x = 8
x = 4
To find RT;
RT = PT - (PQ + QR)
RT = 34 - (4 + 8) = 34 - 12 = 22
Answer:
22
Step-by-step explanation:
Need help please hehehehehe
Answer:
no help kid
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
Given that f(x)=x-3 and g(x)=x^2-x, find (f+g)(-2)
Answer:
(f + g)(- 2) = 1
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= x - 3 + x² - x
= x² - 3
Thus
(f + g)(- 2) = (- 2)² - 3 = 4 - 3 = 1
What is a swing state?
A
A state in which two major political parties have similar levels of support
B.
a state that has a large number of electoral votes
C
a state that historically votes for one of the minor political parties
D
a state that hosts the national convention for a political party
Answer:
swing state
noun
a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.
Step-by-step explanation:
Gianna earned $466.90 at her job when she worked for 23 hours. How much money did she earn each hour?
Answer:
About $20.30
Step-by-step explanation:
$466.90 divided by 23.
jeana´s calculator display shows the number to the right.
a. express this number in scientific notation.
number to the right is 3.76EE13
Answer:
3.76EE13 is 3.76 * 10^13
Step-by-step explanation:
Here, we are to express what is written on the calculator in scientific notation.
Mathematically, that would be
3.76 * 10^13
The terms EE13 represent 10^13
Mr. Cooper is baking chocolate chip cookies using his grandma's recipe. The number of cups of chocolate chips needed to the number of dozens of cookies made can be represented by the ratio 4 : 5. Using the same recipe, what is the amount of chocolate chips needed for 1 dozen?
Answer:
0.8 cups
Step-by-step explanation:
Given that:
Numbe of cups of chocolate chips needed to the Number of dozens of cookies made can be represented using the ratio 4:5
Hence,
The proportion of cups of chocolate chips to the number of dozens of cookies = 4 / 5
4 cups of chocolate chips to 5 dozens of cookies ;
For 1 dozen of cookies, number of chocolate chips will be (x)
4 / 5 = x / 1
Cross multiply
4 * 1 = 5 * x
4 = 5x
x = 4/5 = 0.8
Hence, for 1 dozen of cookies, 0.8 cups of chocolate chips is required
please help!! It’s for geometry!!
Answer:
1. SAS
2. SSS
3. SAS
4. SAS
5. SSS
6. SSS
7. SAS
8. SSS
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
If a population is _______
a sample of the population could be________
A. those with window seats; all passengers on a bus
B. straight-A students; the entire student body
C. all students at a high school; students at the high school whose ID
number ends in 7
D. baseball players; all athletes
Answer:
C
Hope This Helps Friend!
Please help me with this problem and explain
Answer: 29
It is very simple, just substitute.
x = 9, y = 10
Replace the x and y in the expression to that.
You get: 9 + 10 + 10. Just add and you will get 29.
Answer:
9+10+10=29
Step-by-step explanation:
We know that x=9, so where ever we see x we know it is 9. We also know that y=10, so where ever we see y we know it is 10. So then we just replace the variables with our numbers then just add them. That is I got 9+10+10=29
Hope this helps!
What is the equation of a line through point (0,5) that is parallel to the line with equation y= x -7
Answer:
y=x+5
Step-by-step explanation:
Lines are parallel if they have the same slope, the Y-intercept does not matter. Since these line passes through point (0,5) it's y-intercept has to be 5 and It's still parallel with line y=x-7.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
What is the standard form of the polynomial?
To write a polynomial in its standard form, we first simplify then write the terms in an descending order.
Given the polynomial; 9x² + 5x + 27 + 2x³
First, we move the constant 27 to the right end of the expression
9x² + 5x + 2x³ + 27
Next, we move 2x³ left end of the expression
2x³ + 9x² + 5x + 27
Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
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6(x – 1) = 9(x + 2)
Solve
Answer:
x=−8
Step-by-step explanation:
6(x−1)=9(x+2)
Step 1: Simplify both sides of the equation.
6(x−1)=9(x+2)
(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)
6x+−6=9x+18
6x−6=9x+18
Step 2: Subtract 9x from both sides.
6x−6−9x=9x+18−9x
−3x−6=18
Step 3: Add 6 to both sides.
−3x−6+6=18+6
−3x=24
Step 4: Divide both sides by -3.
−3x/−3=24/−3
need help asapp I'll brainlist u once u finish !!
Answer:
-3*-6*2^2+1
18*4+1
72+1
73
Step-by-step explanation:
2(5*-6*2-3)
2(-30*-1).
2*30
60
4*-6^2*2+2/10
4*36*2+2/10
4*72+2/10
288+2/10
290/10
29
9(-6-2^2)/6
9(-6-4)/6
9*10/6
90/6
15
Please help D: what’s the answer
143cups + 1 1/3 cups
Answer: 144 1/3 cups
Step-by-step explanation: 143+1 1/3=144 and 1?3
27. In a class test containing 15 questions 4 marks are given for every correct answer and
(-1) marks are given for every incorrect answer.
(i) Gokul attempts all questions but only 6 of his answers are correct. What is his
total score?
(ii) Neena gets 12 of her answers correct. What will be her score?
Answer:
24 and 72
Step-by-step explanation:
just multiple them both by 6
-7a-3=18
Solve for A
Answer:
a = -3
Step-by-step explanation:
-7a-3=18
Add 3 to each side
-7a-3+3=18+3
-7a = 21
Divide each side by -7
-7a/-7 = 21/-7
a = -3
Answer:
a= -3
Step-by-step explanation:
[-7a - 3 = 18]
Add 3 to both sides
[-7a=21]
Divide both sides by -7
[a= -3]
What is the slope of a line that is parallel to the line y=2/3x+5
Answer: 2/3
Step-by-step explanation: The slopes of parallel lines are equal/the same but they have different y intercepts
HELP MY GRADE IS HORRIBLE
Answer for y-2x^2-8x+ 10 is -10
Find the value of a and b
Answer:
a=58
b=95
Step-by-step explanation: