The smallest sample size that will satisfy the conditions for the use of a normal model to represent the sampling distribution is 30, as stated in option (a).
The smallest sample size that will satisfy the conditions for the use of a normal model to represent the sampling distribution is determined by the Central Limit Theorem, which states that if the sample size is greater than or equal to 30, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.
According to this theorem, if the sample size is greater than or equal to 30, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution. Therefore, the smallest sample size that will satisfy the conditions for the use of a normal model is 30. The answer is therefore option (a).
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B) Three two-digit integers have a mean average of 16 and a range of 16. The median of the integers is 12. If all three integers are even and all are different to each other, what are the 3 numbers?
Answer:
The three numbers are 10,12 and 26
Step-by-step explanation:
For the average of the numbers to be 16; it means that the sum of all the numbers will be:
3 * 16 = 48
If the median is 12, it means the middle number is 12
For the range to be 16, the difference between the highest and smallest number is 16
if the lowest is x, then the highest will be (x + 16)
So, if we added these and 12, we get 48
Thus;
(x + 16) + x + 12 = 48
2x + 28 = 48
2x = 48-28
2x = 20
x = 20/2
x = 10
Then, the last number will be x + 16 = 10 + 16 = 26
So, the three numbers are 10,12 and 26
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There's a theorem for this: the angle made by two intersecting secants of a circle has a measure equal to half the difference of the arcs the secants intercept. In this case,
x = (130° - 30°) / 2 = 50°
Guys, please help me with this question I'm having trouble in solving this
Find the exact value of tan A in simplest radical form.
Answer:
tan A = 6
Step-by-step explanation:
tan = opposite side/adjacent side
tan A = 6/1 = 6
A tower that is 100 feet tall casts a shadow 125 feet long. Find the angle of elevation of the sun to the nearest degree.
Answer:
39 degrees
Step-by-step explanation:
tan^-1(100/125)
=39 degrees (cor. to the nearest degree)
Find the Average
100-90-80-89-75-0
No links please
Answer:
72.3
round from 72.3333333333333333333333333333333333333333333333
Step-by-step explanation:
The isosceles triangle shown has a base of 4 y + 2 and a perimeter of 6 y + 12 . Which expression represents the length of 1 of the triangle's legs?
Answer:
The expression that represents the length of 1 of the triangle's legs is y + 5
Step-by-step explanation:
An isosceles triangle has two sides equal which are the triangle legs. Let b represent the base of the triangle and l represent one of the triangle's legs. Then, the perimeter, P is given by
P = l + l + b
i.e P = 2l + b
From the question, P = 6y + 12 and b = 4y +2
∴ 6y + 12 = 2l + 4y + 2
6y - 4y + 12 - 2 = 2l
2y + 10 = 2l
∴ 2l = 2y + 10
Then,
l = (2y+10)/2
l = y + 5
Hence, the expression that represents the length of 1 of the triangle's legs is y + 5
What are the two types of observations?
Subjective Observation
Data Based Observation
Analysis Observation
Objective Observation
Answer:
data and analysis djdjdjhdhd
A group of friends sets a goal to live within their means by not letting their car payments exceed 10% Of their monthly income amounts. The table below shows the income and car payments of each person. Which friend is demonstrating financial responsibility to staying within the goal of not having a car payment that exceeds 10% of their monthly income?
Answer:
carlos
Step-by-step explanation:
Cara is playing a number game where she has two tiles for each number 0-9. A tile is chosen at random. List the possible outcomes for:
1. Choosing a two
2. Not choosing an even number
3. Choosing a number less than 4
thank you
Answer:
1. 2,2
2. 1,1,3,3,5,5,7,7,9,9
3. 0,0,1,1,2,2,3,3
Step-by-step explanation:
The possible outcomes are: 0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9.9
There are 20 possible outcomes
1. 2,2
2. There are 1,3,5,7,9 = 10 non even numbers
1,1,3,3,5,5,7,7,9,9
3. There are 0,1,2,3 = 8 numbers less than 4
0,0,1,1,2,2,3,3
hi help i'll give you a brainliest<3
Answer:
11% Increase
Step-by-step explanation:
11% increase. 182,040-164,000=18,040. 18,040=11% of 182,040
Pilar and Ramesh left a 20% tip after having dinner. The amount of the tip was $5. Pilar's dinner cost $15. Which equation can you use to find x, the cost of Ramesh's dinner?
Answer:
5x = 15?
Step-by-step explanation:
-3x + 7 > - 17 please someone answer
Answer:
x<8
Step-by-step explanation:
Answer:
x<8
Step-by-step explanation:
−3x+7>−17
Step 1: Subtract 7 from both sides.
−3x+7−7>−17−7
−3x>−24
Step 2: Divide both sides by -3.
−3x
−3
>
−24
−3
x<8
What is the measure of \angle 1?, What is the measure of \angle 2?, What is the measure of \angle 4? and What is the measure of \angle 5?
Answer:
<1 and <6 = 98
<2 and <3 = 139
<4 and <5 = 123
Step-by-step explanation:
82 + 9x - 6 + 6x - 1 = 180
15x + 75 = 180
15x = 105
x = 7
<1:
x + 82 = 180
x = 98
<2:
6x - 1 = 6(7) - 1 = 41
x + 41 = 180
x = 139
<3 = <2 because of vertical angle thm so <3 = 139
<5:
9x - 6 = 9(7) - 6 = 57
x + 57 = 180
x = 123
<4 = 5 because of vertical angle thm
<6 = <1 because of vertical angle thm
A hopper contains 20 ping-pong balls. There are 6 red, 4 white, 3 green, 2 yellow,
and 5 blue ping-pong balls. Rounded to the nearest thousandth, what is the
probability of drawing a red ball then a blue ball without replacement?
.079
.075
.090
.045
Answer:
0.079 would be the correct answer
Step-by-step explanation:
you just do 3/10 x 5/19 and then you get the answer
Find the volume of this right rectangular
prism.
3 in
9 in
3 in
[ ? Jin3
Answer:
81 inches
Step-by-step explanation:
To find the volume of a rectangular prism you multiply the width × the height × the length.
So it would be 3×9×3 which equals to 81 inches
Answer: V = height*length*width = 3*3*9 = 81
Step-by-step explanation: 81
Please help me with this problem .
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?
4+10=14
462/14=33
33x4=132
so your answer would be 132 ;)
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Daphne played 240 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, she played another string of consecutive games, although this string was 40% shorter. How many consecutive games was that?
Answer:
144.
Step-by-step explanation:
40% shorter means she played 100 - 40 = 60% of the previous tall.
60% of 240
= 240 * 0.6
= 144 games.
Matt drove for 1/2 of the trip, and Justin drove for 1/4 of the trip. Gina and Kaitlyn divided the rest of the driving evenly between them.
If the entire trip is 128 miles, how many miles did Kaitlyn drive?
The product of two consecutive odd integers is 323. What is the larger integer?
Answer:
19
Step-by-step explanation:
This is because since 19 is the larger odd number, 17 must be the smaller one, and 19 times 17 is 323.
Hope this helps! :)
Divide this for me someone plssss
Answer:
It is the 3rd one
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
x-6-6/x+4
What are the degree and leading coefficient of the polynomial?
Find the percent increase. Round to the nearest percent.
From 96 books to 127 books
The percent increase is
%.
Answer:
24% i think i hope it the right answer
Step-by-step explanation:
Mary was allowed a discount of 11% for goods worth sh.8000 and a discount of 8.6% for goods worth sh.17000. What percentage discount was she allowed altogether
Mary got 9.37%. discount .
What is percentage discount?A percentage discount is a reduction in the price of a good or service that is expressed as a number of hundred. A 20 percent reduction, for instance, would result in an item that was originally $100 costing $80.Given ,
discount = 11%
So,
((8000x0.110) + (17000x0.086)) = 2342
⇒ 2342 / (8000+17000) = 2342/25000
= 0.0937 or 9.37% discount.
The percentage discount allowed all together was 9.37%.
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I need help fast not not like serious help me
Answer:
D
Step-by-step explanation:
hope it helps .
sorry about the pic , kinda hard to get the whole
PLEAS HELP !! ASAP ! I’ll reward with brainliest !! PLEASE PLEASE HELP
Answer:
D. 2430
Step-by-step explanation:
SOMEONE HELP IM NEWE SORRY TYSM IF U DO<3333
Answer:
8/25 or 0.32
Step-by-step explanation:
Two numbers decomposed into prime factors are expressed as follows: 2³. 3. 5 is 2². 3².7 Indicate the number of prime factors Which represents the least common multiple of these numbers
Answer:
2³. 3². 5. 7
Step-by-step explanation:
Since the first number is 2³. 3. 5 and the second number is 2². 3².7, we multiply the prime number with the highest exponents.
Since 2³. 3. 5 = 2³. 3¹. 5¹. 7⁰ and 2². 3².7 = 2². 3². 5⁰. 7¹ ,we multiply the prime number with the highest powers to get the least common multiple of both numbers, so, we have the L.C.M = 2³. 3². 5¹. 7¹ = 2³. 3². 5. 7
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost? $
Answer:
$50
Step-by-step explanation:
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost? $
Chole's meal cost
$40 + 5% × $40 + 20% × $40
= $40 + $2 + $8
= $50
Nobody been getting my recent questions please answer this and msg r the last 3 too
Answer:
The value of the missing angle is 103.
Step-by-step explanation: