It is found that Margo are going to be using sampling.
• sampling in statistics may be a a part of the sampling technique within which each sample has an equal probability of being chosen. In other words, a sample chosen randomly is an unbiased representation of the entire population.
Sample strategies is also classified as :
1) Convenient: The sample that is taken from a pool that is readily accessible.
2) Random : When all options are into a hat and draw a number of team
3) Systematic : Every kth element
4) Cluster : once we divide population into groups called clusters, and every element of cluster is surveyed.
5) Stratified : In stratified also divides the population into groups, However just some of the weather of the group are surveyed. per the question Marbles are taken from the bag, and after they're taken they're again placed back within the bag so it depicts sampling.
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You have timed yourself and found that you can read 8 pages of a novel in 10 minutes. Your homework tonight is to read 42 pages in the novel. How many minutes should it take you? Round your answer to the nearest tenth if needed.
It will take 53 minutes to read 42 pages in a novel
Given,
The time taken to read 8 pages in a novel = 10 minutes
Therefore, the time taken to read 1 page = 10 ÷ 8 = 1.25 minutes
Now,
We have to find the time taken to read 42 pages of a novel.
Time to read 42 pages = 42 × 1.25
Time taken = 52.5 minutes
We can round it to nearest tenth, that is 53 minutes.
That is, the time taken to read 42 pages in a novel is 53 minutes.
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How to do this exercise step by step?
Here's a box plot that summarizes the average monthly rainfall of several cities.
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 8, in increments of 0.5, labeled Monthly rainfall (centimeters). A left whisker extends from 3.5 to 5.5. The box extends from 5.5 to 7 and is divided into 2 parts by a vertical line segment at 6. The right whisker extends from 7 to 7.5. All values estimated.
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 8, in increments of 0.5, labeled Monthly rainfall (centimeters). A left whisker extends from 3.5 to 5.5. The box extends from 5.5 to 7 and is divided into 2 parts by a vertical line segment at 6. The right whisker extends from 7 to 7.5. All values estimated.
Find the range of the data.
The range of the data provided in the boxplot given the minimum number and the maximum number is 2.
What is the range of the data?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines known as the whiskers and a box. The left whisker represents the lowest number in the dataset. The right whisker represents the highest number in the dataset. The difference between these numbers is the range.
The box can be used to determine the first quartile, median and the third quartile. These values can be determined using the lines on the box.
The range of a data set is the difference between the highest number and the lowest number. Range is used to measure the variance of a dataset.
Range = highest number - lowest number
7.5 - 5.5 = 2
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help questions 3-5 (negative and positive numbers)
Answer:
good luck broooooooooo
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 1, negative 3) and (0, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 3) and (1, negative 3). Everything to the right of the line is shaded.
A school is planning for an addition in some open space next to the current building. The existing building ends at the origin. The graph represents the system of equations that can be used to define the space for the addition. What is the system of equations that matches the graph?
y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1
Using linear functions, the system of inequalities that matches the graph is given by:
y ≥ 3x.y > -2x - 1.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Given two points, the slope is given by change in y divided by change in x. For the first line, the points are:
(-1, -3) and (0,0).
Hence the slope is:
m = (0 - (-3))/(0 - (-1))
m = 3.
When x = 0, y = 0, hence the y-intercept is of b = 0 and the line is given by:
y = 3x.
Everything to the right of the solid line is shaded, hence the values that are equal(line is solid) or greater than the line compose the inequality, as follows:
y ≥ 3x.
For the second line, the points are:
(-2,3) and (1,-3).
Hence the slope is:
m = (-3 - 3)/(1 - (-2)) = -6/3 = -2.
Then:
y = -2x + b.
When x = -2, y = 3, hence:
3 = -2(-2) + b
b = -1.
Hence the line is:
y = -2x - 1.
Everything to the right of the dashed line is shaded, hence the inequality is:
y > -2x - 1.
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If m ∠ F L G = 14 x + 5 ° and m ∠ H L G = 17 x − 1 ° , find m ∠ F L H .
The measure of angle FLH is 31x + 4
How to determine the measure of FLH?See attachment for the image that completes the question
The given parameters are
m∠FLG = 14x + 5°
m∠HLG = 17x − 1 °
The measure of FLH is calculated as
FLH = m∠FLG + m∠HLG
This gives
FLH = 14x + 5 + 17x - 1
Collect the like terms
FLH = 14x + 17x + 5 - 1
Evaluate the like terms
FLH = 31x + 4
Hence, the measure of FLH is 31x + 4
See attachment for the image that completes the question
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When you answer these, can you number them?
15+3(2x-9)=44 solutions or no solution
when we take x = 9.33, the equation becomes true, which means that the linear equation has one solution.
Does the given linear equation has solutions?
Here we have the following linear equation:
15 + 3*(2x - 9) = 44
And we want to see if this has a solution, it means that there is a value of x such that the equation becomes true. Let's see that.
To do it, we need to isolate the variable, x, in one of the sides of the equation.
Expanding the product we get:
15 + 3*2x - 3*9 = 44
Moving the terms without x to the right side:
15 + 6x - 27 = 44
6x = 44 + 27 - 15 = 56
Now we can divide both sides by 6 so we get:
x = 56/6 = 9.33
So, when we take x = 9.33, the equation becomes true, which means that the linear equation has one solution.
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Can you guys help me on this one?
Answer:
The area is 12.57
The Circumference is 12.57
Step-by-step explanation:
Use the words factor and quotient to describe related multiplication and.division facts
A quotient is an answer in the division. The divisor (denominator) and the quotient are the factors. The dividend (numerator) is the amount being divided — it doesn’t matter whether the dividend is larger or smaller than the divisor.
In elementary school, we refer to this process only in terms of fractions, so many people don’t realize that fractions are just division. If your fraction is proper, you will get a decimal number or simplified equivalent fraction. If the numerator (multiple) is the larger number, then the quotient will represent the other factor after dividing.
For example, in the equation x + 5 = 10, x is the unknown variable, and you want to find some number, which when added to 5 would result in 10.
Quotients are answers to a division problem.
For example, the quotient of 8÷2 would be 4.
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Select all decimals that are equivalent to
9 x 100 + 2 x 10 + 3 x 10 + 5 x 1/100
A.92.35
B.920.350
C.902.35
D.92.350
E. 920.35
F.920.035
Answer:
E. 920.35
Step-by-step explanation:
Hope this helped :>
find the value of x
(X-24) = 29 degrees
Answer:
X - 24 = 29
X = 29 + 24
X = 53 degrees
which point on the number line represents the product (-4)(-2)(-1)?
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 12.25 ft, a width of 10 ft, and a height of eight and one fifth ft.
Determine the volume, V, using the formula V = lwh.
30.45 ft3
100.45 ft3
960.05 ft3
1,004.5 ft3
The volume will be 1004.5 ft³.
How to calculate the volume?It should be noted that the volume is calculated as:
= Length × Width × Height
= 12.25 × 10 × 8.2
= 1004.5 ft³
Therefore, the volume will be 1004.5 ft³.
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x / −6 ≥−20
solve for x
Answer:
[tex]x\leq 120[/tex]
---------------------------
Hope this helps!
Have a great day and God bless! :)
a sequence is defined by f (n) =-4+2n for n is greater than or equal to 1. which of the following statements is the recursive definition of f?
a. f(1)=-2, f(n)=f(n-1) +2
b. f(1)=-4, f(n)=f(n-1) +2n
c. f(1)=-2, f(n)=f(n-1) + (-4)
d.f(1)=-4, f(n)=f(n-1) +2
EXPLAIN WHY
The recursive definition of f is f(1) = - 2, f(n) = f(n - 1) + 2. (Correct choice: A)
What is the recursive definition of an arithmetic sequence?A recursive formula is a formula to find the value of an element in terms of previous elements of the same series. According to the statement, a sequence is defined by f(n) = - 4 + 2 · n. To derive the recursive definition, we must use algebra properties on the following difference:
Δf = - 4 + 2 · (n + 1) - (- 4 + 2 · n)
Δf = 2
n = 1
f(1) = - 4 + 2 · 1
f(1) = - 2
Then, the recursive definition of f is f(1) = - 2, f(n) = f(n - 1) + 2.
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Use the laws of exponents to simplify the expression so that the base, x, appears once, and the exponent is positive. x^3/x^5
Situation 1: A number cube has sides labelled 1-6. After rolling 15 times, Tyler records his data:
1,1,1,1,2,2,3,3,4,4,5,5,5,6,20
Is there an outlier? (yes/no)
If so, what is it? (write N/A if there is no outlier)
Should any data points be investigated or removed? (investigated/removed)
Why? (non-plausible/not representative)
Answer:
There is an outlier. The outlier is 20. 20 should be removed because a dice only has 6 faces, and there is no side numbered 20.
Step-by-step explanation:
Express 28 + 42 as the product of the greatest common factor (GCF) of the two numbers and a sum of two numbers.
Answer:
14 is there (GCF) 28+42=70
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Consider a survey involving the cookie preferences of a sample of 1,214 adults. If 28% answered peanut butter" find the decimal and reduced fraction of that percentage
PRACTICE ANOTHER
The decimal fraction is 0.28 and reduced fraction is 7/25.
What is fraction?In mathematics, the fraction is generally a term which define the small part of something or amount of something. A fraction has generally two parts a numerator and a denominator.
The general syntax for fraction is : [tex]\frac{x}{y}[/tex]
where, x is the numerator part
y is the denominator part
The fraction has two types of notations:
Decimal notation : In the decimal notation of fraction the term is written as the decimal form of x / y. we generally try to reduce the decimal value upto the nearest tenth.Reduce notation: In the reduce notation the structure of term is x/y but in this we try to convert the fraction into smallest fraction form.In the question given,
Total number of samples = 1214
Adults who answered peanut butter = 28%
Now, the decimal fraction = 28 / 100 = 0.28
and, the reduce fraction = 28/100 = (7)(4) / (25)(4) = 7/25
Hence, The decimal fraction is 0.28 and reduced fraction is 7/25.
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Kenneth's bank account is modeled by the following equation f(x) = 13x+30
where x in the number of weeks and f(x) is total amount. How much money
was in Kenneth's account when it was opened?
When Kenneth opened her account, her account balance was 30.
A function is an expression that assigns each input value, say x, a unique output value, say y. Mathematically, a function can be represented as-
F(x) = x + a
Here, we are given that Kenneth's bank account is modeled by the following equation-
f(x) = 13x + 30
here, x = number of weeks
and f(x) = total amount
When Kenneth must've opened his account, the number of weeks would've been zero.
⇒ x = 0
Substituting the value of x = 0 in f(x), we get-
f(0) = 13(0) + 30
f(0) = 0 + 30
f(0) = 30
Thus, when Kenneth opened her account, her account balance was 30.
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what is the product of (2.5+y) and (1.1y)
The product of the expressions (2.5 + y) and (1.1y) will be 2.75y + 1.1y².
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expressions are given below.
(2.5 + y) and (1.1y)
Then the product of the expressions (2.5 + y) and (1.1y) will be
⇒ (2.5 + y) × (1.1y)
⇒ 2.75y + 1.1y²
The product of the expressions (2.5 + y) and (1.1y) will be 2.75y + 1.1y².
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Graph: y= lx+2l+1
what are the coordinates of the vertex of the graph? The vertex is
Graph each integer and its opposite on the number tin
hi!
lets try and further analyze this.
The integer -2 would be graphed directly on the "-2" point on the line. also marking positive 2 (2) as for that's its opposite. Positive 3 (3) would be marked on the 3 and so would -3. Then -5 and positive 5 (5) and lastly -1 and positive 1 (1).
hope this helps!
side note: for actually graphing the point just use a filled in dot indicating where you mark it.
Where is making a frame to display a drawing she made. The frame 11 1/5 wide the frame has a rectangular shape and area of 560cm2
The Height of the frame having area of 560cm² is 50cm.
What is the area of the rectangle?By splitting a rectangle into two equal-sized right triangles, the formula for calculating the area of a rectangle may be obtained. For instance, a diagonal is drawn from vertex A to vertex C in the rectangle ABCD that is supplied.
The rectangle is split into two identical right-angled triangles by the diagonal AC.
(ABCD) Area = b × h
Given,
The area of the frame = 560cm²
Width of the frame = 11 1/5
Length = ?
Area of the rectangle = Length × Breadth
560 = 11 1/5 × L
⇒ L = 560 × 5/56
⇒ L = 50cm
The frame is 50cm tall.
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Correct question -
Claire is making a frame to display a drawing she made. The frame is 11 1/5 cm wide. The frame has a rectangular shape and an area of 560cm². How tall is the frame?
Ruguru wants to rent a car for 3 days. The cost,C , in dollars, for the rental is shown in the box, where D is the number of days the car is rented If Ruguru has 115, how much more will he need to rent a car for 3 days?
Ruguru need $15 more to rent a car for 3 days.
Given,
Number of days Ruguru wants to rent a car = 3 days
The amount Ruguru has with him = $115
The cost for the rental of the car:
C = 25 + 35D
Where,
D is the number of days
Now,
Lets find the total rent of the car for 3 days
C = 25 + 35D
C = 25 + 35 × 3
C = 25 + 105
C = 130
The total rent of a car for 3 days is $130
We have to find the amount needed by Ruguru to rent a car for 3 days.
That is,
Total rent - Amount Ruguru has = Amount needed
130 - 115 = 15
Therefore,
Ruguru need $15 more to rent a car for 3 days.
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A cone has a volume of 98 cm3.
The radius of the cone is 5.13 cm.
Work out an estimate for the height of the cone.
Answer: Height is equal to approximately 3.56.
Step-by-step explanation:
FIND formula for finding height on a cone:3 * [tex]\frac{V}{\pi r^{2} }[/tex]
2. INSERT Volume and Radius
3 * [tex]\frac{98}{\pi 5.13^{2} }[/tex]
3.CALCULATE Height
Pi*5.13^2= 82.676979798 / 82.6769797= 1.185335995041.18533599504 * 3= 3.556007985133.55600798513 rounds to 3.56Answer:
3.6cm=h
Step-by-step explanation:
v=1/3πr^2h
input your values
98=1/3×22/7×5.13×5.13×h
98=(22*5.13*5.13*h)/21
cross multiply
98*21=22*5.13*5.13*h
2058=22*5.13*5.13*h/22*5.13*5.13
3.6cm=h
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A chef uses a recipe with the following ingredients then the chef decides to make more than 1 batch of recipe. if a total of 30 cups of mangoes and blueberries are used, how many batches of the recipe did the chef make? 3 cups used for 1 mango and 2 cups used for blueberries, 5 cups for apples and 1 cup used for blackberries
Answer:11 cups
Step-by-step explanation:
Srry if im wrong :)
Laura is 32 feet below the ground in a cave. If she ascends 8 feet, what is her new depth?
Answer:
40 feet
Step-by-step explanation:
Because 32+8=40
32
- 08
-----
40
Answer: -24 feet
Step-by-step explanation: ascending is rising so you would subtract feet, which in this case is 8 feet. after that you would consider that since she is underground the feet would be negative because she is below ground level which is zero. once you subtract it then you would get a grand total of -24 feet or 24 feet below the earth's surface but more than likely the answer would be -24 ft.
hope this was helpful :)- hailey <3
for the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side dish, and a dessert. here are the items to choose from
288 dinner specialist
1 Appetizer = 3 C₁
1 Salad = 2 C₁
1 Entree = 4 C₁
1 Side dish = 3 C₁
1 desert = 4 C₁
Total = 3 C₁ * 2 C₁ * 4 C₁ * 3 C₁ * 4 C₁
=3* 2 * 4 * 3 * 4
= 288 dinner specialist
What do you mean by possibility in mathematics?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an occurrence is a number between 0 and 1, with 1 representing certainty and 0 representing impossibility. The higher the likelihood of an event, the more likely it is to occur. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half.
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