if all possible samples of size n are drawn from an infinite population with a mean of 36 and a standard deviation of 22, then the standard error of the sample mean equals 2 for samples of size:
Thus , it is False. As there is confidence level is not given, then cant calculate the sample size.
The standard deviation is what?The standard deviation in statistics is a measure of how widely spread a set of values can be or how much they can vary. A low standard deviation denotes that values are typically close to the mean of the collection, whereas a high standard deviation indicates that values are dispersed across a greater range.
Here,
The standard error of the sample mean is equal to 2 for samples of size n if all conceivable samples of that size are taken from a population with an infinite mean and standard deviation.
In the above statement confidence level is not given.
Thus , it is False. As there is confidence level is not given, then cant calculate the sample size.
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StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
Fill in the missing statement and reason of the proof below.
Given:
A
E
‾
≅
E
B
‾
AE
≅
EB
and
∠
D
A
B
≅
∠
C
B
A
.
∠DAB≅∠CBA.
Prove:
△
A
D
E
≅
△
B
C
E
△ADE≅△BCE.
The included angle of one triangle are congruent to the corresponding parts of the other triangle. Since the sides AD and BE are congruent, as well as the included angle DAB and CBA, then △ADE≅△BCE.
By the Side-Angle-Side (SAS) congruence theorem, if two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent. In this proof, the given statements provide that the sides AE and EB are congruent, as well as the angles DAB and CBA. This means that the two corresponding sides of the triangles △ADE and △BCE are congruent, and the included angles of the triangles are also congruent. Therefore, according to the SAS congruence theorem, the two triangles are congruent, and thus △ADE≅△BCE.
The SAS congruence theorem applies to any two triangles, regardless of the size or shape of the triangles. The congruence of the sides and angles is sufficient to prove that two triangles are congruent. This theorem can be used to prove other theorems, such as the Triangle Sum Theorem, which states that the sum of the angles in a triangle is equal to 180 degrees. To prove this theorem, one could use the SAS congruence theorem to show that two right triangles are congruent, and then use the congruent angles to prove that the sum of the angles in a triangle is 180 degrees.
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Which of the following matches a quadrilateral with the listed characteristics
below?
1. Figure has 4 right angles
2. Figure has 4 congruent sides
3. Both pairs of opposite sides parallel
A. Rectangle
B. Parallelogram
C. Trapezoid
D. Square
The quadrilateral that matches the characteristics is a square.
What is a quadrilateral?A quadrilateral is a 2 dimensional figure with 4 sides. Example of quadrilaterals are rectangle, rhombuses, square, parallelograms and many more.
Therefore, the quadrilateral that matches the characteristics is a square.
Properties of a square
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2) Mary and Frank combine the marbles into one bag to do an experiment where they
pick a marble from a bag and toss a coin. In the table below, they have recorded the
outcomes of each event. What is the experimental probability that the coin lands on
tails and a yellow marble, in simplest form? Show your work!
Blue
Yellow
Red
Green
Purple
Orange
Pink
HEADS
12
7
5
9
9
10
6 6
TAILS
6
11
7
8
6
12
5
5
I
In which year will 67% of babies be born out of wedlock?
Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .
What year will 67% of babies be born to unmarried parents?In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.
If the trend continues, the number of years till 67% of children born out of wedlock will be:
= (67% - 28%) / 0.6%
= 65 years
The year will be:
= 1990 + 65
= 2055
The first part of the question is:
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.
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From 95 books to 116 books
Answer:
21 books were added
Hope I helped,
PumpkinSpice1
☼♥☼♥☼♥☼♥☼
conaider a regular 96-sided polygon exlain how to found your anser in orlder to get full credit
To make a regular polygon with 96 sides we can take a circle as a starting point and divide it into 96 equal sides.
How to create a regular polygon with 96 sides?To create a regular polygon with 96 sides, we must take into account that all its sides must be equal, so we can take a circumference as a starting point. In this case, the circumference has 360°, so we must divide this into 96 parts and the result would be the distance between the edges of the polygon.
360° / 96 = 3.75In this case, we must make a circle with a protractor and mark every 3.75°, when we have completed this procedure in the entire circumference we will have a regular polygon with 96 sides.
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K(x) = 4x -2; Find (3)
A) 18
B) -6
D) 6
E) -14
C) 10
Answer:
6 .............................
In HIJ h=38 inches, I=45 inches and j=61 inches. Find the measure of H to the nearest degree
Answer: 38
step by step
deltamath
Answer:
38
Step-by-step explanation:
what does the value in front of x represents?
What is 777778978734*79980324768762378945569723
If Yasuko randomly selects a single-digit positive integer, what is the probability that it is
not prime? Express your answer as a common fraction.
Answer:
4/10
Step-by-step explanation:
11
Select the correct answer.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
OA The equation that represents this situation is x-3=21. The second number is 24.
OB. The equation that represents this situation is 3x = 21. The second number is 7.
OC. The equation that represents this situation is -3x = 21. The second number is -7.
OD. The equation that represents this situation is -3 + x = 21. The second number is 18.
Reset
Next
Answer:
C
Step-by-step explanation:
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
what is the slope of the line that passes through the points (-1,1) and (1,-15)
Answer:
\(\boxed{\text{The slope is -8.}}\)Step-by-step explanation:
To find the slope of the line, you have to use a slope formula.
Slope formula:
\(\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }\)
⇒ y2=(-15)
⇒ y1=1
⇒ x2=1
⇒ x1=(-1)
Rewrite the whole problem down.
\(\Longrightarrow: \sf{\dfrac{-15-1}{1-\left(-1\right)}=\dfrac{-16}{2}=\boxed{\sf{-8}}\)
So, the slope is -8, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
The following data represents the age of 30 lottery winners.
22 26 27 27 31 34
36 42 43 44 48 49
52 53 55 56 57 60
65 65 66 67 69 72
75 77 78 78 79 87
Complete the frequency distribution for the data.
Age Frequency
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Answer:
Step-by-step explanation:
This is an example of a frequency distribution for a class interval. In order to complete the frequency distribution, we will count the number of data occurring in each group, and write that number as the frequency for that group. This is done as shown below:
Age Frequency ages in class
20-29 4 22, 26, 27, 27
30-39 3 31, 34, 36
40-49 5 42, 43, 44, 48, 49
50-59 5 52, 53, 55, 56, 57
60-69 6 60, 56, 65, 66, 67, 69
70-79 6 72, 75, 77, 78, 78, 79
80-89 1 87
Total 30
A barn contains 11 animals. 7 of the animals are bats and the rest are mice. An animal leaves the barn at random, and then a second animal leaves th at random. Copy and complete the tree diagram, which shows all the possible outcor What is the probability that a mouse leaves first and then a bat? Give your answer as a fraction in its simplest form.
The probability that a mouse leaves first and then a bat is given as follows:
14/55.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
As the animal is not replaced, the probabilities for this problem are given as follows:
Mice leaves first -> 4/11.Bat leaves second: -> 7/10.Hence the probability is given as follows:
4/11 x 7/10 = 2/11 x 7/5 = 14/55.
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HELP ME WALLAHI THIS IS HARD PLEASE I BEG HELP
Answer: It’s C
Step-by-step explanation:
Brett and Andy applied for the same credit card from the same bank. Brett was given a card with an APR of 12.6%. What was his monthly percentage rate? Andy was given a card with an APR of 16.2% what was his monthly percentage rate? if each of them had an average daily balance of $7,980, and had to pay a finance charge, how much more would. Andy pay than Brett?
Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.
To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.
For Brett:
APR = 12.6%
MPR = 12.6% / 12 = 1.05%
For Andy:
APR = 16.2%
MPR = 16.2% / 12 = 1.35%
Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.
For Brett:
Finance charge = $7,980 * 1.05% = $83.79
For Andy:
Finance charge = $7,980 * 1.35% = $107.73
To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:
Difference = $107.73 - $83.79 = $23.94
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The builder recommends to Siya that he buys 10% more tiles than required in case of breakages. the tiles he likes are R234 for a box of 6 tiles. How much will Siya spend on tiles?
The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.
First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."
Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:
110% of T = 1.1 x T
Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:
Number of boxes = (1.1 x T) / 6
Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:
Total cost = (1.1 x T / 6) x R234
Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.
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The upper part it a of cylindrical tank is hemisphere. The height of tank is 4.5m and creumference of base is 22m, how many litres of water the tank can hold? Find it.
Answer:
9.63 m³ = 9.63×1000 = 9630 litres (answer)
Step-by-step explanation:
hope it help
If trapezoid JKLM is translated using the rule (x, y) → (x + 3, y − 3) and then translated using the rule (x, y) → (x − 1, y + 1) to create trapezoid J″K″L″M″, what is the location of L″?
The location of L″ is (-5, 0).
To find the location of L″, we first need to apply the first translation rule to the coordinates of trapezoid JKLM:
J': (x, y) → (x + 3, y - 3) => J'(-2+3, 1-3) = J(1, -2)
K': (x, y) → (x + 3, y - 3) => K'(1+3, 1-3) = K(4, -2)
L': (x, y) → (x + 3, y - 3) => L'(3+3, -2-3) = L(6, -5)
M': (x, y) → (x + 3, y - 3) => M'(-4+3, 2-3) = M(-1, -1)
Now, we need to apply the second translation rule to the coordinates of J', K', L', and M':
J'': (x, y) → (x - 1, y + 1) => J''(1-1, -2+1) = J''(0, -1)
K'': (x, y) → (x - 1, y + 1) => K''(4-1, -2+1) = K''(3, -1)
L'': (x, y) → (x - 1, y + 1) => L''(6-1, -5+1) = L''(5, -4)
M'': (x, y) → (x - 1, y + 1) => M''(-1-1, -1+1) = M''(-2, 0)
Therefore, the location of L″ is (-5, 0).
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Answer:
(5,-4)
Step-by-step explanation:
the number value of 2 in the number 4256
Answer:
200
Step-by-step explanation:
Answer: 200
Step-by-step explanation:
The two is in the hundredths place
Miss Lianto mowed 3/8of her lawn. Her son mowed 1\(\frac{5}{3}\) of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
The fraction that represent the size left to be mowed is 25/104
FractionsFractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing. All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar.
The denominator indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar.The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.Miss Lianto mowed 3/8 of her lawn
Her son mowed 5/13 of it.
Comparing the fractions, 5/13 > 3/8 and this shows her son mowed most of the lawn.
The amount left that needs mowing is 1 - (3/8 + 5/13)
This becomes 1 - 79/104 = 25 /104
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Use the division or the multiplication property of equality to solve 2x = 48. What is the result?
Answer:24
Step-by-step exfind out what 2 times blank eguals 48
I
rep
What is the solution of 4(2y + 1) = 2(y - 13)
What is the answer
Answer:
- 5
Step-by-step explanation:
Step 1:
4 ( 2y + 1 ) = 2 ( y - 13 )
Step 2:
8y + 4 = 2y - 26
Step 3:
6y + 4 = - 26
Step 4:
6y = - 30
Answer:
y = - 5
Hope This Helps :)
Which relation describes a function? What makes it a function?
{(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range that defines the correct relation. The correct option is D.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
When one magnitude depends on another, the relationship between them is known as a mathematical function. So long as they are uniquely and solely connected.
Every mathematical function is the relationship between an element of group A and an element of group B. Consequently, the following algebraic expression can be used to represent this function:
Therefore, the {(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range that defines the correct relation. The correct option is D.
The complete question is given below,
Which relation describes a function? What makes it a function?
A) {(-2,3),(-2,5),(-6,7)} Each member of the range is unique.
B) {(2,3),(3,3),(3,4)} Each member of the domain and range is positive.
C) {(2,3),(3,3),(3,4)} Each member of the domain and range is a real number.
D) {(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range.
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Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?
A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:
(x, y) → (-x, y).
\(f(x) = \frac{3}{8} (4)^x\) → \(g(x) = \frac{3}{8} (4)^{-x}\)
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For which number is this the expanded form? 9 × 10 + 2 × 1 + 3 × (1/10) + 8 × (1/100) Group of answer choices 98.08 93.48 9.238 92.38
Answer:
Well it is i think
Step-by-step explanation:
98.8 I don't know tho