To ensure the sample is representative of the population as a whole, try to use some random samples.
What do you mean by sample?A sample refers to a small quantity that is examined to get the knowledge of how the whole product/population will be.
Now, we need feedback from our clients. To ensure that our sample is representative of the population as a whole, we should include clients with different attributes.
Like, choosing 10 clients all living in the same place, same gender, and same age group will be the worse sample.
The best way to do this is to select samples randomly, ensuring that our sample includes people with different ages, gender, height, disabilities(if any) and statuses, etc.
So, A randomized sample is the best for ensuring that the sample is representative of the population as a whole.
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a coin-operated soft drink machine was designed to discharge, on average, 7 oz of beverage per cup. in a test of the machine, 10 cupfuls of beverage were drawn from the machine and measured. the average and sd of the ten measurements were 7.1 oz and 0.12 oz, respectively. assume that the histogram of beverage discharge from this machine roughly follows a normal curve. does this machine discharge more than 7.0 oz or does the difference represent chance variation?
The machine discharge more than 7.0 oz or does the difference represent chance variation is 0.0274
What is meant by variation?
In math, variance refers any difference between the individuals in a species or groups of organisms of any species.
Here we have given that a coin-operated soft drink machine was designed to discharge, on average, 7 oz of beverage per cup. in a test of the machine, 10 cupful's of beverage were drawn from the machine and measured. the average and SD of the ten measurements were 7.1 oz and 0.12 oz, respectively. assume that the histogram of beverage discharge from this machine roughly follows a normal curve.
And we need to find machine discharge more than 7.0 oz or does the difference represent chance variation.
By using the Applet, to find the exact p-value we first need to find P(Z≥2.63) where Z is a t9 random variable.
=> P(Z≥2.63)=0.0137
=> 2×P(Z≥2.63)=0.0274
=> P-value=0.0274
So, the p-value associated with the test is 0.0274
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consider the following. (a) draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die. maple generated plot maple generated plot maple generated plot maple generated plot (b) how many outcomes contain a head and a number greater than 4? (c) probability extension: assuming the outcomes displayed in the tree diagram are all equally likely, what is the probability that you will get a head and a number greater than 4 when you flip a coin and toss a die? (round your answer to three decimal places.)
a) The tree diagram is given by the image shown at the end of the answer.
b) The probability that you will get a head and a number greater than 4 when you flip a coin and toss a die is: 1/6.
How to obtain a probability?A probability in the context of an experiment is calculated as the division of the number of desired outcomes by the number of total outcomes.
The possible outcomes in this problem are given as follows:
Coin: 2 outcomes, head or tails.Dice: Six outcomes, 1, 2, 3, 4, 5 or 6.The tree diagram at the end of the answer gives these 12 outcomes.
There are two outcomes in which you get a head and a number greater than 4, which are:
(Heads, 5) and (Heads, 6).
Hence the probability is calculated as follows:
p = 2/12 = 1/6.
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How can the triangles be proven similar by the SSS?
Answer:If the corresponding sides are known then they can be calculated.
Step-by-step explanation:If the measures of corresponding sides are known, then their proportionality can be calculated.
which expression factors to 8(x + 2)?
The factors of 8(x + 2) are 2, 4, 8, (x+2)
What is factor of an expression?
In mathematics, an integer m that can be multiplied by another integer to create n is known as a divisor of an integer n, also known as a factor of n. One can also state that n is a multiple of m in this situation.
Given expression is
8(x+2)
The factorization of 8 is 2 × 2 × 2.
Putting 8 = 2 × 2 × 2 in the given expression:
= 2 × 2 × 2 (x+2)
= 2 × 4 (x+2)
The factor of 8(x+2) are 2, 4, 8, 2(x+2), 4(x+2), 8(x+2).
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Please D: I'm so dum
Answer:
6: H
3: A
Step-by-step explanation:
6: We only want a pound of fertilizer, if we have 7.8 pounds then we would have to divide by the cost in order to get only the cost of one. 67.86 ÷ 7.8 = 8.70
3: 3/4 is less than one hour. We only want one hour. We divide the 18 miles by 3, which is 6 but since it's a little less than an hour, it must be lower. The only option less than 6 is 4.5
Find the equation of the axis of symmetry of the following parabola algebraically
y=−3x^2+18
The equation of the axis of symmetry of y=−3x^2+18 parabola algebraically is x = 0.
we use for that the fact that the x position of the vertex of a parabola of the general form: [tex]y = ax^{2} + bx + c[/tex], is given by:
[tex]x_{vertex}[/tex] = [tex]\frac{-b}{2a}[/tex]
which in our case becomes:
[tex]x_{vertex}[/tex] = [tex]\frac{-0}{-6}[/tex]
[tex]x_{vertex}[/tex] = 0
Parabola:
A parabola is a curve whose equation has a point on it that is equally spaced from both a fixed point and a fixed line. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.To know more about Parabola:
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What other information, if any, do you need to prove the two triangles congruent by SAS? Explain.
A. Line GL = Line NM and Line GT= Line NQ are both needed because all three corresponding sides must be congruent.
B. Line GT= NQ is needed because the congruent angles need to be included between two corresponding congruent sides.
C. Line GL = Line NM is needed because the congruent angles need to be included between two corresponding congruent sides.
D. No additional information is needed to prove the triangles congruent by SAS.
Answer:
C. Line GL = Line NM is needed because the congruent angles need to be included between two corresponding congruent sides.
3. Simplify 5/1 divided by 7/2
To divide fractions, remember this.
Keep change flip.
Keep one of the fractions.
Change the sign to multiplication.
Flip the other fraction.
[tex]\frac{5}{1} /\frac{7}{2} =\frac{5}{1} *\frac{2}{7} = \frac{10}{7}[/tex]
Answer is 10/7
Hope this helps :)
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- Jeron
What shape is the king of the quadrilaterals?
Square is consider as the king of all the quadrilaterals.
Explanation:
Quadrilaterals are four sided geometrical shape with four vertices, four sides, and four angles enclosed in it.There are six types of quadrilaterals namely trapezium, parallelogram, rectangle, rhombus, square, and kite.Square is consider as the king of all the quadrilaterals:
Square have all four sides congruent, opposite pair of sides parallel to each other, and measure of each angle is 90 degree.Each of these properties represents different types of quadrilateral.Each angle 90 degree represent rectangle.Opposites are parallel to each other represent parallelogram.All sides are congruent represents rhombus.Square consists property of parallelogram, rectangle, and rhombus.Therefore, square shape is consider as the king of all the quadrilaterals.
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A survey was taken during school to see how students get to school the data was summarized in the table below
A.9
B.10.5
C.13.25
D.19.25
E.21
Answer: B
Step-by-step explanation: B
< Quadrilateral L' is the image of quadrilateral L under a dilation. What is the center of the dilation? ( pls help i need it asap )
The center of the dilation from the quadrilateral WXYZ to quadrilateral W'X'Y'Z' is point A.
What is a dilation?Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.
Given that, quadrilateral L' is the image of quadrilateral L under a dilation.
The origin is often used as the center of dilation.
Connect all the points from quadrilateral WXYZ and quadrilateral W'X'Y'Z' to point A.
Therefore, the center of the dilation is point A.
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order these from smallest to largest
0.13 ,3/20 ,12% ,1/10, 0.09
Answer:
0.09, 1/10, 121%, 0.13, 3/20
Step-by-step explanation:
0.13 = 0.13
3/20 = 0.15
12% = 0.12
1/10 = 0.10
0.09 = 0.09
0.09, 0.10, 0.12, 0.13, 0.15
Answer: 0.09, 1/10, 121%, 0.13, 3/20
Directions: Use the formula Sn =a (1 - rn ) ÷ (1 – r) to find the sum Sn for each of the geometric series, given the value for a, r, and n.
1. a = -1, r = -2, n = 8
2. a = ½, r = -1/3, n = 6
3. a = 4, r = 3, n = 5
4. a = -9, r = -3, n =4
5. a = 6, r = 3, n =4
6. a = 4, r = ¼, n = 4
7. a = 3, r = -2, n = 7
8. a = -2, r = 3, n = 5
The required sum Sn for each of the given geometric series is illustrated in the solution.
The sum of a geometric series is given by the formula Sn = a(1 - r^n) / (1 - r), where a is the first term of the series, r is the common ratio, and n is the number of terms in the series.
As per the given question, the required solution would be as:
1. a = -1, r = -2, n = 8:
Sn = (-1)(1 + 2⁸) / (1 + 2) = -1023 / 3
2. a = 1/2, r = -1/3, n = 6:
Sn = (1/2)(1 + (-1/3)⁶) / (1 + (-1/3)) = (1/2)(1 + 1/729) / (4/3) = 728/2187
3. a = 4, r = 3, n = 5:
Sn = (4)(1 + 3⁵) / (1 + 3) = 1792 / 4
4. a = -9, r = -3, n = 4:
Sn = (-9)(1 + (-3)⁴) / (1 + (-3)) = -729 / 2
5. a = 6, r = 3, n = 4:
Sn = (6)(1 + 3⁴) / (1 + 3) = 3456 / 4
6. a = 4, r = 1/4, n = 4:
Sn = (4)(1 + (1/4)⁴) / (1 + (1/4)) = 256 / 5
7. a = 3, r = -2, n = 7:
Sn = (3)(1 + (-2)⁷) / (1 + (-2)) = -769 / 3
8. a = -2, r = 3, n = 5:
Sn = (-2)(1 + 3⁵) / (1 + 3) = -1792 / 4
Thus, the required sum Sn for each of the given geometric series is illustrated in the above solution.
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Tia began filling the bathtub at a constant rate.
She then turned off the water for a while and some of the water drained out of the bathtub.
Tia turned the water back on at the same rate as before until the bathtub was full.
Which graph best represents Tia filling the bathtub?
The 1st graph best represents Tia filling the bathtub
How to determine which graph best represents Tia filling the bathtub?(Consider the image I attached)
At point 1, Tia began filling the bathtub at a constant rate until the water in the bathtub reached point 2
She then turned off (point 2) the water for a while and some of the water drained out of the bathtub. That, the water level dropped from point 2 to point 3
Tia turned the water back on(point 3) at the same rate as before until the bathtub was full (point 4). As you can see there is an increase from point 3 to point 4.
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What is the slope of the line through − 7 − 2 and − 6 7?
The slope of the line through − 7 − 2 and − 6 7 is 9. A line's steepness can be determined by looking at its slope.
Where y and x denote the first and second values, respectively, and y and x2 denote the third and fourth values, respectively, and m is the slope
I by itself would result in m in our scenario.
m= y2 - y/x2 - x
Since x and y are random positions, I will state that the first point, X, is at (-7, -2) and the second point, Y, is at (-6, 7). Therefore, we will enter the values below in their place:
m= [7 -(-2)]/ (-6) -( -7)]
m= 9/1
m = 9
The slope of the equation would be nine.
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What does AAA mean in triangles?
Answer:
Angle, Angle, Angle.
Step-by-step explanation:
"AAA" means "Angle, Angle, Angle" "AAA" is when we know all three angles of a triangle, but no sides.
Answer:It means the three angles of a triangle.
Step-by-step explanation:"AAA" means "Angle, Angle, Angle" "AAA" is when we know all three angles of a triangle, but no sides.
Describe the end behavior of the function -2x^3-13x^2+8x+52
Answer:
Step-by-step explanation:
lim x -> +oo -2x³ - 13x² + 8x + 52
x³ (-2 -13/x + 8/x² + 52/x³)
+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)
+oo(-2 + 0 + 0 + 0)
-oo
lim x -> -oo -2x³ - 13x² + 8x + 52
x³ (-2 -13/x + 8/x² + 52/x³)
-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)
-oo(-2 + 0 + 0 + 0)
+oo
What are the 5 steps of solving a linear equation in two variables strategy?
A system of two-variable linear equations can be solved using one of five strategies. Here is a description of those techniques:
Graphical MethodSubstitution MethodCross Multiplication MethodElimination MethodDeterminant MethodGiven,
Linear equation in two variables;
The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables since each of the variables has an exponent order of one. A linear equation with two variables has the conventional form axe + by + c = 0, where x and y are the variables.
The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.
Here,
A system of linear equations in two variables can be solved using one of five techniques. These techniques are described below:
Graphical MethodSubstitution MethodCross Multiplication MethodElimination MethodDeterminant MethodLearn more about solving linear equations here;
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Manny took home a couple of his friends after soccer practice. He originally had 7 gallons of gas in his car. He used 1.08 gallons of gas to take one friend home and three fifths gallons to take the other friend home. How much gas did he have left in his car after taking both friends home?
1.07 gallons
5.32 gallons
5.86 gallons
5.92 gallons
Answer: b.5.32
Step-by-step explanation:
A system of a linear equation is said tk be consistent if it had at least one solution ? true false​
A system of a linear equation is said tk be consistent if it had at least one solution is true
In a linear equation, the largest power of the variable is always equal to 1. It's also known as a one-degree equation. Typically, Ax + B = 0 is used to represent a linear equation with one variable. The variables x, A, and B in this case serve as constants and coefficients, respectively. The typical form of a linear equation with two variables is Ax + By = C. Here, x and y are the variables, A and B are the coefficients, and C is the constant. If there is at least one solution, a set of linear equations is considered to be consistent. This means that when all equations in the system are solved, at least one set of values for the variables can be found which satisfy all equations simultaneously. So, the statement is true.
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Please help, answers only!
Answer:
y = -2x+2
Find slope
find x intercept
y=mx+b
Find the midpoint of the line segment with the given endpoint. (-3,-5),(4,5)
Answer:
[tex]\left(\frac{1}{2}, 0 \right)[/tex]
Step-by-step explanation:
Using the midpoint formula,
[tex]\left(\frac{-3+4}{2}, \frac{-5+5}{2} \right)=\left(\frac{1}{2}, 0 \right)[/tex]
How do you find the domain and range of a graph equation and table?
The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph indicates the available expected output, or range of graph.
In the given question, we have to explain how we can find the domain and range of a graph equation and table.
The domain and range are typically listed in a table's left and right columns, respectively. In a relation or function, the domain can alternatively be thought of as the input values (x), and the range as the output values (y).
Graphs can be used as another tool for determining the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph indicates the available expected output, or range.
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Which expression is equivalent to this polynomial? 9x2 + 7
Answer:
2+7=9 so 9x9=81
Step-by-step explanation:
Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether. Determine the number of nickels and the number of dimes that Latanya has.
In total of 24 coins, Latanya has 10 nickels and 14 dimes altogether.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether.
We can write the equation as -
(x/20) + (y/10) = 1.90
x + y = 24
Refer to the graph attached. On solving the equation graphically, we get-
x = 10, y = 14
Therefore, she has 10 nickels and 14 dimes in total.
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The value of the ratio of adults to children is 2/5. The ratio of adults to children is _____.
Ratio of adults to children is = 2:5
Whenever any integer fractional number is given for example if we consider any fraction number = [tex]\frac{a}{b}[/tex]
Ratios are represented with the symbol = ':'
This above fractional number could also be represented as ⇒ a:b
So, we conclude that the fractional signs are equal to the ratio sign
As in the case of the fraction [tex]\frac{2}{5}[/tex] given in the question, it can also be written as = 2:5 in the form of a ratio.
Therefore, the ratio of adults to children is ⇒ 2:5
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Answer: Ratio of adults to children is = 2:5
Step-by-step explanation:
Whenever any integer fractional number is given for example if we consider any fraction number =
Ratios are represented with the symbol = ':'
This above fractional number could also be represented as ⇒ a:b
So, we conclude that the fractional signs are equal to the ratio sign
As in the case of the fraction given in the question, it can also be written as = 2:5 in the form of a ratio.
Therefore, the ratio of adults to children is ⇒ 2:5
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The Hulk smashed enemy robot has a constant rate . He needs 35 minutes to smash a total of 15 robots . Write an equation to describe the relationship between t , for time , and r , for the total number of robots .
The equation to describe the relationship between t , for time , and r , for the total number of robots is t = 2.3r
What equation can describe the relationship?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
Since the Hulk smashed enemy robot has a constant rate and needs 35 minutes to smash a total of 15 robots.
This can be illustrated as:
t = kr
t = time
k = constant
r = number of robots
35 = 15k
k = 35/15
k = 2.3
The equation will be t = 2.3r
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HEEEELLLPP ME FAST I ONLY GOT 51:20 MINES LEFT!!!!
he lines on the graph below represent the cost of apples at four different stores. A graph titled Cost of Apples has pounds of apples on the x-axis and total cost in dollars on the y-axis. Line A goes through points (0, 0) and (4, 3). Line B goes through points (0, 0) and (4, 4). Line C goes through points (0, 0) and (4, 5). Line D goes through points (0, 0) and (4, 8). At which store is the cost of apples the least?
Answer: LINE A (take a look at the slope of the lines they all have the same x axis but the y axis # changes which is what changes our slope) making a the answer
Step-by-step explanation:
how is the amount of variability between groups quantified? group of answer choices comparing the standard deviations of each group to each other comparing the sample means of each group to each other. comparing the sample means of each group to the grand mean comparing the standard deviations of each group to the grand standard deviation
The amount of variability between groups quantified is group of answer choices comparing the standard deviations of each group to each other comparing the sample means of each group to each other.
A variability measure is a summary statistic that describes the amount of variation in a dataset. Central tendency measures describe typical values, while variability measures define how far away data points tend to be from the center. We talk about variability in the context of value distribution. A small variance indicates that the data points tend to be clustered near the center. A large spread means they tend to move further apart.
Analysts often use averages to summarize the center of a population or process. Averages are good, but people are often more sensitive to fluctuations. The less variability in the distribution, the more consistent the values within the dataset. However, the higher the variability, the more diverse the data points and the more likely extreme values will occur. Therefore, understanding variability helps us to understand the likelihood of anomalous events.
Meteorologists have seen weather forecasts showing extreme heat and drought in some areas and flooding in others. We often feel more uncomfortable in the extreme than in the middle. Understanding this variability about the mean provides important information.
Variation is everywhere. My commute time varies slightly from day to day. Parts coming off the assembly line look the same, but have slightly different lengths and widths.
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Select the values that make the inequality -w <-8 true.
Then write an equivalent inequality, in terms of w.
(Numbers written in order from least to greatest going across.)
-13
-8
-3
07
8.1
O-9
-7.9
O
7.9
9
-8.1
0 -7
03
8
13
The values that make the inequality -w<-8 true are 8.1, 9, 13.
The equivalent inequality is w > 8.
What is the order from least to greatest?
There are two ways to arrange a set of integers in mathematics. It implies that there are two possible orderings for the numbers: ascending and descending. Ascending order refers to the arrangement of numbers in which the smallest number comes before the largest. The numbers are listed in this fashion in ascending order. It is ideal for the first number to be less than the second.
Descending order refers to arranging the integers from largest to least value. The numbers are in decreasing order in this manner. It is ideal for the first number to be higher than the second.
Given inequality is -w < -8.
Now putting w = -13, -8, -3, 07, 8.1, O-9, -7.9, O, 7.9, 9, -8.1, 0 -7, 03, 8, 13 in the given inequality.
-(-13) < -8 → 13 < -8 (false)
-(-8) < -8 → 8< -8 (false)
-(-3) < -8 → 3 < -8 (false)
-7 < -8 (false)
-(8.1) < -8 (true)
-(0-9) < -8 → 9 < -8 (false)
-(-7.9) < -8 → 7.9 < -8 (false)
-9 < -8 (true)
-(0-7) < -8 → 7 < -8 (false)
-(03) < -8 → 3 < -8 (false)
-8 < -8 (false)
-13 < -8 (true)
Rewrite the given inequality:
Multiply -1 on both sides:
(-1) × (-w) > (-1) × (-8)
w > 8
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