Which statements must be true to model a data set using a normal distribution?
The sample mean must equal the population mean.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample size, n, must be at least 30.
The population mean must be greater than the sample mean.
Answers
Answer:
The sample must be randomly selected.
The sample size, n, must be at least 30.
Step-by-step explanation:
Plato
Answer:
The sample must be randomly selected.
The sample size, n, must be at least 30.
Step-by-step explanation:
Plato/Edmentum
Related Questions
ANSWER THE QUESTION FOR BRAINLIEST
Answers
Answer:
not a straight line
Step-by-step explanation:
Linear has the word "line" in it. A linear relation has a graph shaped like a straight line.
Nonlinear means "not like a straight line".
Answer: not a straight line
Factor the binomial b^2 - 9
Answers
Answer:
(b-3)(b+3)
Step-by-step explanation:
b^2+3b-3b-9
Explanation: Sum-product pattern, then find the common factor(s), rewrite into factored form : )
Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee
Answers
Answer:
Step-by-step explanation:
pi r^2 for area
pi 35^2
pi1225= about 3848.45
2pi r for circumference
2pi35
pi70= about 219.9
Which one of the following U.S. customary units is closest in volume to I liter?
Answers
Answer:
c
Step-by-step explanation:
Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.
What is volume?The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The relation between the quart and the liter is found as;
1 quarts = 0.94635295 liters
The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.
Hence,option D is correct.
To learn more about the volume refer:
https://brainly.com/question/1578538
#SPJ2
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 132 mg/dL and σ = 11.3 mg/dL. what is the level L such that there is probability only 0.01 that the mean glucose level of 5 test results falls above L?
Answers
Answer:
134.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.
The level is L = 134.6
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation
ANSWER ASAP PLS
The circular opening of a tunnel has a circumference of 36 meters. Which equation can be used to find d, the
diameter of the tunnel opening in meters?
Answers
D = 36 divided by 3.14
D = 11.5
What is 74 in standard form? O A. 11 OB. 28 Oc. C. 2, 401 O O D. 16,384
Answers
Answer:
oc2
Step-by-step explanation:
because
3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12 6 36 (b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work.
Answers
Answer:
Wait what
Step-by-step explanation:
Which of the following lists of fractions are in order from least to greatest? Select TWO that apply.
A.
1/4 2/3 3/10
B.
3/5 7/10 5/6
C.
2/5 5/8 3/4
D.
3/8 9/10 7/12
HELP
Answers
Answer:
i think its a 1/4 then 2/3 and 3/10
Hi I need ur help! (And this is the other one if you saw my last question)
Answers
Answer:
Hi gimmie brainly
thanks
What is an equation of the line that passes through the point (-5,-2) and is
parallel to the line x - y = 5?
Answers
Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
What we need to know
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope
[tex]x - y = 5[/tex]
Subtract both sides by x
[tex]x - y -x= -x+5\\-y= -x+5[/tex]
Divide both sides by -1
[tex]y= x-5[/tex]
Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.
Plugging 1 as m into [tex]y=mx+b[/tex], we get:
[tex]y=x+b[/tex]
2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation
[tex]y=x+b[/tex]
Plug in the given point (-5,-2)
[tex]-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:
[tex]y=x+b\\y=x+3[/tex]
I hope this helps!
Which graph represents a direct variation?
Answers
I don't know all of them I guess since I can't see the graphs
Answer:
The graph of the direct variation equation is a straight line through the origin.
Step-by-step explanation:
Put the lowest number on the left 2 0 -3 -4
Answers
Answer:
-4, -3, 0, 2
Step-by-step explanation:
Answer:
-4,-3,0,2 :p ...........
Will give brainliest for correct answer
Answers
Answer:
A function is a rule that assigns to each input exactly one output.
Step-by-step explanation:
If you have more than one of the same inputs for multiple outputs, it would create a vertical line at somepoint on your line.
Answer:
The correct answer is "a rule that assigns to each input exactly one output".
Step-by-step explanation:
In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from real numbers to real numbers.
Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =
Answers
Answer: 6
Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c
plzzzz help meeeeeeeeeeee
Answers
Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.
How much floor space will toy chest A take up?
Answers
Answer: 20ft
Step-by-step explanation:
floor space is only worried about the area of the base, so A would be 4*5 or 20
Answer:
20
Step-by-step explanation:
giving brainliest!! *easy*
Answers
Answer:
370 square millimeters
Step-by-step explanation:
2x9x5=90
2x10x5=100
2x10x9=180
90+100+180=370 square millimeters
Answer
450mm^3
Step-by-step explanation:
the picture has the workings
A=l×w×h
A=10mm×9mm×5mm
A=450mm^3
Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?
A. 0.89
B. 1.6
C. 3.84
D. 3.9
Answers
Answer:
0.89
Step-by-step explanation:
Trust
thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)
Answers
Answer:
A.
x + 2 + 12
Step-by-step explanation:
Thomas (t) = Andrew (x) * 2 + 12
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size
Answers
Answer:
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
A randomly selected group of 40 members
This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]
What is the probability of having a sample mean of 115.8 or less for a random sample of this size?
This is the pvalue of Z when X = 115.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Pls Help! Put a proper answer! If you put a link I will report you!
When clearing the fractions in the equation below, what is the Least Common Denominator?
Answers
Step-by-step explanation:
X - ⅙X = - ½ - ⅓ ==> ⅚X = - ⅚ ==> X = -1
The diameter of a cake is 7.8 inches. What is the area of the cake?
Answers
The radius is half of the diameter.
r = 7.8 / 2
r = 3.9
A = π(3.9)^2
A ≈ 47.78
Answer:
A = 12.25 sq inches
Step-by-step explanation:
A = (7.8/2)²π
A = 3.9²π
A = 12.25 sq inches
at a football game, every person is either a fan of the home team or of the visiting team. omar observes that the ratio of fans of the home team to fans of the visiting team is 7:2. omar states that the total number of fans at the game must be an odd number because 7 + 2 = 9 and 9 is an odd number.
Determine a number of fans of the home team and a number of fans of the visiting team that show omar statement is false.
the first question is, enter a number of fans of the home team that would show Omar's statement is false.
the second question, enter a number of fans of the visiting team that would show omar statement is false.
pls I need help!!!!!!
Answers
The functions f and g are defined as follows.
g(x) = -2x3-5
f(x) = - 4x + 2
Find f (6) and g(-3)
Simplify your answers as much as possible.
Answers
Answer:
f(6) = -22, and g(-3) = 49
Step-by-step explanation:
f(x) = -4x + 2
f(6) = -4(6) + 2
f(6) = -24 + 2
f(6) = -22
I assume the 3 in g(x) = -2x3 -5 is cubed
g(-3) = -2(-3)^3 - 5
g(-3) = -2(-27) - 5
g(-3) = 54 - 5
g(-3) = 49
find the slope of each line
Answers
Answer:
(1,1) and (2,-4)
Step-by-step explanation:
i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help
Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be
Answers
Answer:
The maximum guaranteed waiting time should be of 18.37 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.
This means that [tex]\mu = 15, \sigma = 2.4[/tex]
The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?
The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.405 = \frac{X - 15}{2.4}[/tex]
[tex]X - 15 = 1.405*2.4[/tex]
[tex]X = 18.37[/tex]
The maximum guaranteed waiting time should be of 18.37 minutes.
write a mathematical equation and calculate the area of the irregular polygon
Answers
How many kilograms are equal to
54,308 grams?
Answers
Answer:
54.308 kilograms
Step-by-step explanation:
Raymond bought wrapping paper that cost
$0.04 per square inch. How much did it cost to
wrap this box.
Answers
Answer: $46.08
Step-by-step explanation:
Find the surface Area of the box
the bases are 12*12= 144 times 2 bases 144*2= 288
The area of each side is 12*18=216 times 4 sides 216*4=864
add the totals together to find the total surface area 288+864=1152
total surface area is 1152 inches. Multiply by the cost per square inch
1152*.04= 46.08
