This is an example of Stratified Random Sampling.
Stratified random sampling is a method of sampling where the population is divided into subgroups or strata based on certain characteristics and then a random sample is selected from each subgroup.
In this case, the population of grocery shoppers in major cities in the United States is divided into subgroups based on the five metro areas where Kroger has seen the biggest growth: Phoenix, Detroit, Los Angeles, Atlanta, and Dallas-Fort Worth.
Then, every person 23 years of age or older in those cities are selected to participate in the survey, ensuring that the sample is representative of the population in those specific areas.
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the mean score of 8 88 players in a basketball game was 14.5 14.514, point, 5 points. if the highest individual score is removed, the mean score of the remaining 7 77 players becomes 12 1212 points. what was the highest score?
The highest score is 32
The following receive the highest individual score:
Total Players' Points: 8 - Seven players' combined points
= 14.5*8 - 12*7
= 116 - 84
= 32.
The overall Average was decreased as a result of 1 player being excluded. As a result, by answering the question as stated above, you can determine the score of the highest individual score.
Alternative strategy:
The top individual rating
= 14.5 + 2.5*7
= 14.5 + 17.5
= 32
clean air.
Sharma, Divya
reply from a year ago
8 players total score = mean score * players
= 14.5*8 = 116
7 players total score = 7 players' mean score * number of players
= 12*7 = 84
The highest score is equal to 8 players' total score minus 7 players' total score.
= 116 — 84
= 32.
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What is the multiplicative inverse of3 − 7?
The multiplicative inverse of 3 - 7 does not exist because 3 - 7 = -4, which is not a non-zero real number, so it does not have a reciprocal. The reciprocal of a real number is only defined for non-zero real numbers.
The reciprocal of a real number is a number that when multiplied by the original number, it equals 1. This is also known as the multiplicative inverse. For example, the reciprocal of 2 is 1/2 because 2 * (1/2) = 1. But in the case of a non-real number like 0, it does not have a reciprocal because no real number when multiplied by 0 will give you 1.
In the case of 3-7 = -4, it is a negative number, and no non-zero real number multiplied by -4 will yield 1, so -4 does not have a multiplicative inverse.
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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3, Sal made
a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch
specials sold and y is the number of wrap lunch specials sold.
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
• Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4. Graph the function. On the graph, make
may use graphing technology.
sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work
5. Suppose Sal's total profit on lunch specials for the next month is $1,593.
The profit amounts are the same: $2 for each sandwich and $3 for each wrap. I
a paragraph of at least three complete sentences, explain how the graphs of the functions ft
the graphs of the functions for the two months are similar and how they are different.
The value of y-intercept is 490.
Why do we discover the y-intercept?This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept. The key message is (0, y).
Y-intercept: Is it 0 or 1?A straight line's Y intercept is simply the point at which the line intersects the Y axis. The line crosses the Y axis at 1 in the diagram above. The point is denoted by and the Y intercept is equal to 1. (0,1). Keep in mind that the point's x-coordinate is always zero for the y-intercept.
2x + 3y = 1,470
3y = 1470 – 2x
y = 1470/3 – 2/3x
y = 490 – 2/3x
y = -2/3 * x + 490
the slope is -2/3
and y intercept is 490
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If the monomial is not zero, the product of a monomial and a polynomial will have ___ the polynomial.
If the monomial is not zero, the product of a monomial and a polynomial will have as many terms as the polynomial.
What is a Polynomial?This is referred to as an expression which consists of indeterminates which are also known as variables and coefficients and an example is 3x2 -2x-10.
In a scenario, where the monomial is not zero, the product of a monomial and a polynomial will have as many terms as the polynomial due to the common factors being present in both numerical values which is therefore the reason why it was chosen as the correct choice.
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The table shows the results of drawing 44 cards from a deck of 104 game cards. After watch each draw, the card is replaced. Based on the results, what is the chance that a draw result in a wild card?
The probability of getting a wild card from the deck of 104 game cards is 5/22.
Therefore the answer is 5/22.
Out of the 44 cards, 10 were wild cards, 32 number cards and 2 penalty cards. Also it is given that after each draw, the card is replaced. So the draw doesn't affect the probability of next draw.
When 44 cards are drawn, 10 were wild card. So the probability of getting a wild card is
= 10/ 44
= 5/ 22
The probability of taking a wild card in a deck of 104 cards is same as the probability of wild card in each draw of a draw of 44 cards.
--The question is incomplete, answering to the question below--
"The table shows the results of drawing 44 cards from a deck of 104 game cards. After watch each draw, the card is replaced. Based on the results, what is the chance that a draw result in a wild card?
Frequency of wild cards is 10.
Frequency of number cards is 32.
Frequency of penalty cards is 2."
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The weight w of a steel frame is 9. 2kg correct to 1 decimal place. Complete the error interval for weight w
The error interval for the weight w of the steel frame is 8.7kg to 9.7kg.
This error interval is calculated by taking the original weight of 9.2kg and adding and subtracting 0.5kg from the value. This is because the weight of the steel frame was given correctly to one decimal place.
9.2+0.5=9.7
9.2-0.5=8.7
The error interval of 8.7kg to 9.7kg is a reasonable interval to use when determining the weight of the steel frame. This is because it covers a range of weights that are both above and below the original weight, allowing for a margin of error.
This margin of error is important, as it allows for small variations in the weight of the steel frame that could be caused by discrepancies in the accuracy of the measurement tools used to measure the weight.
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What is the sum of the interior angle of a regular 20-sided polygon?
Answer:
[tex]3240^{0}[/tex]
Step-by-step explanation
n = Number of sides
Sum of interior angles of a regular polygon = (n - 2) x [tex]180^{o}[/tex]
= (20 - 2) x [tex]180^{o}[/tex]
= 18 x [tex]180^{o}[/tex]
= [tex]3240^{o}[/tex]
What is the solution for 9 > x - 7?
A: x<16
the inequality will be x<16.
What is inequality?
Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.
9 > x - 7
=x-7<9
=x<9+7
=x<16
Hence, the inequality will be x<16.
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statistics consists of organizing and summarizing information​ collected.T/F
Statistics is a branch of mathematics that dispense with the review, collection, and analysis of data. It is known for drawing the resolution of data with the use of estimation models.
Statistical analysis is a method of evaluating and collecting data and summarizing it into mathematical form.
Statistics can be explained as the study of the interpretation, analysis, collection, presentation, and organization of data.
In easy words, it is a mathematical tool that is used to summarize and collect data.
riskiness and fluctuation in various fields and parameters can be get only through statistical analysis. This riskiness is determined by the probability that plays a very important role in statistics.
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What is the first step when solving a system of equations by substitution and both equations are in standard form?
Neither of these equations are already solved for x or y. As a result, the first step is to solve for x or y first.
What comes first in the process of solving a two-step equation?
The two stages that make up the most general instance for a two-step equation are as follows: First, get rid of addition and subtraction by adding or removing from both sides.
The variable should then be isolated by multiplying and dividing on both sides. By replacing the variable's value with the response, you may verify the solution.
What comes first in the process of substitution?
Three steps are included in the substitution technique One of the variables needs to have one equation solved. The other equation can be solved by substituting this expression there. Find the corresponding variable by substituting the value back into the original equation.
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Like V has an equation of y=-10/9x-3. Perpendicular to line V is line W, which passes through the point (2,3). What is the equation of line W?
Step-by-step explanation:
The slope of a line perpendicular to y=-10/9x-3 has a slope equal to the negative reciprocal of -10/9. The slope of line W can be calculated as follows:
m = -(-9/10) = 9/10
The equation of the line in point-slope form is:
y - 3 = (9/10)(x - 2)
Expanding the equation gives:
y - 3 = (9/10)x - (9/5)
Solving for y:
y = (9/10)x - (9/5) + 3
y = (9/10)x + (6/5)
The equation of line W is:
y = (9/10)x + (6/5)
(2+2√√√5)(2−2√√5) find the simplest radical form
distance between 2 points = root (x1-x2)²+(y1-y2)²
so root (-2-2)²+(5--3)² = 8.994 ≈ 9 units
For questions 9-10, solve the rational equation.
9. The French club has planned a trip to a French restaurant. The cost of the van is
$284. When 4 students who are not members of the club join the trip, the
transportation cost per person drops by $8.11. How many club members are going
on the trip?
There are a total of 8 people going on the trip, 4 of which are not members of the French club.
How many club members are going on the trip?There are a total of 8 people going on the trip, 4 of which are not members of the French club.The cost of the van for the trip is $284. Since 4 non-members are joining the trip, the transportation cost per person drops by $8.11.To calculate how many club members are going on the trip, we can use a rational equation.We can set up the equation as 284/(x+4) = 8.11, where x is the number of club members.Solving this equation, we get x = 22. Therefore, there are 22 members of the French club going on the trip.Let x = the number of club members$284 - (8.11 * 4) = 284 - 32.44 = 251.56
251.56/x = 8.11
x = 251.56/8.11 = 31
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How to Find he Tangent Line to a Curve at a Given Point?
The formula to find the tangent line to a curve at a given point is y = f'(x) (x - x₀) + f(x₀).
The derivative of the function, f'(x) is calculated at the given point, x₀. Then, the equation of the tangent line is found by substituting the x₀ and f'(x) values into the formula.
To find the tangent line to a curve at a given point, the formula for the slope of the tangent line must be used. The slope of a tangent line is equal to the derivative of the function at that point. The resulting equation is a line with a slope equal to the derivative of the function at the given point, and a y-intercept equal to the value of the function at the given point. For example, if you want to find the tangent line to the function f(x) = 4x² + 3 at the point (2, 19), the derivative of the function at that point is f'(x) = 8x = 8(2) = 16. Then, the equation of the tangent line is y = 16(x - 2) + 19.
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Please answer the following question
It can be deduced that neither ΔJKL nor ΔRST is similar to ΔABC.
Properties of similar triangles.More than one triangle would be similar if their corresponding sides or measure of internal angles have some common relations. So that on comparing the corresponding sides of the triangle, a representative fraction is required to arrive at the value of the sides of other triangle or triangles.
Now comparing the sides of the given triangles in the given question, it can be observed that there is no common relations among their sides. Such that non of the triangles are similar.
Therefore neither ΔJKL nor ΔRST is similar to ΔABC.
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Olivia drives 35 mph for 7.2 hours. How far does she get?
she goes 252 miles.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
Olivia drives 35 mph for 7.2 hours
i.e. she go = 35*7.2
=252miles.
hence, she goes 252 miles.
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What is the rate of change of the amount of
chocolate chips with respect to the amount of oats
used in this recipe?
The rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe is [tex]2\frac{2}{3}[/tex].
In the given question we have find the rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe.
The graph of the given question is given below:
The rate of change of the amount of chocolate chips/The amount of oats used in this recipe = (6 - 3)/([tex]2\frac{1}{4}-1\frac{1}{8}[/tex])
We firstly simply the mixed fraction
= 3/([tex]\frac{9}{4}-\frac{9}{8}[/tex])
= 3/([tex]\frac{19-8}{8}[/tex])
= 3/[tex]\frac{9}{8}[/tex]
Now simplifying
= (3×8)/9
= [tex]2\frac{2}{3}[/tex]
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The complete question is:
The table shows the linear relationship between the amount of chocolate chips in ounces and the amount of oats in cups used in dessert recipe_ What is the rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe?
The doctor tells Emily that she needs to exercise enough to burn at least 200 calories each day. She prefers kickboxing or
swimming. While kickboxing she burns 10 calories per minute, and while swimming she burns 7 calories per minute.
Let x be the number of minutes she spends kickboxing and let y be the number of minutes she spends swimming. Write an
inequality that models this situation.
The inequality that models this situation is: 10x + 7y ≥ 200
This inequality can be read as "the number of calories burned kickboxing plus the number of calories burned swimming is greater than or equal to 200." The left side of the inequality represents the total number of calories burned, which is calculated by multiplying the number of minutes spent kickboxing (x) by the number of calories burned per minute kickboxing (10) and adding that to the number of minutes spent swimming (y) multiplied by the number of calories burned per minute swimming (7). The right side of the inequality is the minimum number of calories that need to be burned each day, which is 200.
Therefore, the inequality shows that the total number of calories burned through kickboxing and swimming should be greater or equal to 200 which is 10x + 7y ≥ 200.
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There are 65 children in the sixth grade. If the boys and girls are in the ratio of 8:5, what equation should be used to find the common factor of boys to girls?
Select the correct response:
1.) 8x + 5y + 65 = 100
2.) 8x + 5y = 65
3.) 8x + 5x + 65 = 100
4.) 8x + 5x = 65
Answer:
The answer is 2.) 8x + 5y = 65
Step-by-step explanation:
Given a sphere with a radius of 5cm find its volume to the nearest whole number.
(a) 785 cm3
(b) 523 cm3
(c) 105 cm3
(d) 65 cm3
Answer:
b
Step-by-step explanation:
radius = 5cm
volume of sphere = ?
we have ,
v = 4/3×22/7×5^3
= 523 .cm3
A fruit basket contains 8 red apples and 7 green apples. What is the ratio of the number of green apples to the number of red apples?
Answer:
I know this but I can't remember
8 red and 7 green
switch the numbers
7 green and 8 red
7 green : 8 red
take the label off
Answer, 7 :8
Can a triangle be constructed with sides of length 15 cm 15 cm and 30 cm?
A triangle with sides of length 15 cm, 15 cm, and 30 cm cannot be constructed.
A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol △. There are various types of triangles that are classified on the basis of the sides and angles.
According to the triangle inequality theorem, to construct a triangle, given three sides, we must have the size of the largest side less than the sum of the other two sides.
Here, the largest side is 30 and
The sum of the other two sides of the triangle = 15+15 = 30
Both these values are equal.
This contradicts the triangle inequality theorem.
Hence, we cannot draw the triangle.
Thus, a triangle with sides of length 15 cm, 15 cm, and 30 cm cannot be constructed.
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Nancy starts at A (-1,-2), B (-1,1), C ( "-3,1)." Step 1 Add 3 to each x-coordinate and "-2" to each y-coordinate
The image of the points A(-1, -2), B(-1, 1), C(-3, 1) following the translation transformation, using the rule, T₍₃, ₋₂₎, are A'(2, -4), B'(2, -1), C'(0, -1)
What is a translation transformation?A translation transformation is one in which the points on the image are moved in the same distance and direction.
The point at which Nancy starts are; A(-1, -2), B(-1, 1), C(-3, 1)
The translation transformation rule is; 3 is added to each x-coordinate and -2 is added to each y-coordinate
The coordinate of the image following the above translation rule, we get;
A(-1, -2) ⇒ T₍₃, ₋₂₎ ⇒ A'(-1 + 3, -2 + (-2)) = A'(2, -4)
B(-1, 1) ⇒ T₍₃, ₋₂₎ ⇒ B'(-1 + 3, 1 + (-2)) = B'(2, -1)
C(-3, 1) ⇒ T₍₃, ₋₂₎ ⇒ C'(-3 + 3, 1 - 2) = C'(0, -1)
The coordinates of the image following the translation transformation are therefore;
A'(2, -4), B'(2, -1), C'(0, -1)
The image of the triangle A(-1, -2), B(-1, 1), C(-3, 1) following the transformation in step 1 )(adding 3 to each x-coordinate and -2 to each y-coordinate) is A'(2, -4), B'(-1, 1), C'(-3, 1)
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math is my worst enemy
Answer:
33°
Step-by-step explanation:
we know that measure of a straight angle is 180° . So the sum of the given two angles would be 180° . Hence,
[tex]\implies \rm 2x +1+4x-19=180^o\\[/tex]
[tex]\implies \rm 6x -18=180^o\\[/tex]
[tex]\implies \rm 6x = 198^o\\[/tex]
[tex]\implies \rm x =\dfrac{198}{6}^o = 33^o[/tex]
and we are done!
-Rishabh
how to smooth a curve in prism
Smoothing a curve in Prism involves reducing the amount of "noise" that can be seen in a graph. This can be done by applying a low-pass filter to the data or by using a smoothing algorithm.
Low-pass filters will reduce the amount of high-frequency fluctuations in the data, while smoothing algorithms will identify patterns in the data and smooth out the irregularities. In both cases, the data points are changed in a way that reduces the amount of variability in the data while still preserving the overall shape of the curve.
Smoothing can help to make the data more readable and make it easier to identify trends in the data. Smoothing is a valuable tool for visualizing data, but should be used carefully to ensure that the true shape of the curve is not distorted.
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why do need to learn bar graphs there is no use for them?
Answer: Bar graphs can show you the relationship/ratio between two items.
Answer:
Bar charts are a fundamental visualization for comparing values between groups of data. Use this guide to learn how to get the most of this chart type!
Step-by-step explanation:
if you roll 2, 6-sided die simultaneously, what is the probability of rolling a combined total of 8 or higher?
The probability of rolling a combined total of 8 or higher is 5/12.
If we are rolling two 6 sided die then possible outcomes are 36.
Using formula,
Probability= Favorable outcome /Total outcome
P(1) = 0 P(2) = 1/36
P(3) = 2/36 P(4) = 3/36
P(5) = 4/36 P(6) = 5/36
P(7) = 6/36 P(8) = 5/36
P(9) = 4/36 P(10) = 3/36
P(11) = 2/36 P(12) = 1/36
So probability of getting sum of 8 or higher is
(P) = 1 - P(1) - P(2) - P(3) - P(4) - P(5) - P(6) - P(7)
= 1 - 0 - 1/36 - 2/36 - 3/36 - 4/36 - 4/36 - 5/36 - 6/36
=1 - 21/36
=15/36= 5/12.
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What is the formula of algebra class 6?
The formulas that are typically covered in an algebra class for 6th graders may include:
The distributive property: a(b + c) = ab + acThe order of operations (PEMDAS): Parentheses, Exponents, Multiplication/Division, Addition/SubtractionBasic operations with integers: addition, subtraction, multiplication, and divisionSolving basic equations: x + 5 = 10 (x = 5)Graphing points on a coordinate planeIntroduction to variables and expressions1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. (a + b) (a - b) = a^2 - b2
4. (x + a)(x + b) = x^2 + (a + b)x + ab
5. (x + a)(x - b) = x^2 + (a - b)x - ab
6. (x - a)(x + b) = x^2 + (b - a)x - ab
7. (a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)
8. a^3 + b^3 + c^3 - 3abc = (a + b + c ) ( a^2 + b^2 + c^2 – ab – bc – ca ) + 3abc
9. a^3 + b^3 + c^3 = 3abc (if a + b + c = 0)
Polynomial
An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
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can anyone help me with this, thank you.
Answer:
65
Step-by-step explanation:
i know its right :)
Kenji has earned 3 tokens and 5 gold coins playing a video game. Lars has earned 4 tokens and 6 gold coins. Lars thinks that the ratio of tokens to gold coins for both players is the same because they each have 2 more gold coins than tokens. Is the same ratio of tokens to gold coins maintained? Justify your response.
Answer:
Step-by-step explanation:
No there ratios are not the same Kenji's ratio is 3:5 while Lar's ratio is 4:6 you can find if a ratio is equivalent or not by multiplying each ratio together for example a ratio 3:5 would be 3 times 5 which equals 15.