The two points that a line of fit will go through to best fit the data are;
B: ( 3, 7) and (9, 1)
How to Interpret the Scatter Plot?Scatter plots are defined as the graphs that present the relationship between two variables in a data-set. It is used to represent data points on a two-dimensional plane or on a Cartesian system. The independent variable or attribute is plotted on the X-axis, while the dependent variable is plotted on the Y-axis.
A line of best fit is a straight line drawn through the maximum number of points on a scatter plot. It should have an equal number of points above and below that line. This is best represented on the blue line on the attached graph. It touched 4 points and is between the green and red line.
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The frequency of people compared to the number of monthly text messages sent and received by a class are shown in the histogram.
A histogram titled Daily Text Messages. The x-axis is labeled Number of Sent Texts and has intervals of 1 to 15, 16 to 30, 31 to 45, 46 to 60, 61 to 75, 76 to 90, and 91 to 105. The y-axis is labeled Frequency and starts at 0, with tick marks every 2 units up to 12. There is a shaded bar for 1 to 15 that stops at 1, for 31 to 45 that stops at 3, for 46 to 60 that stops at 4, for 61 to 75 that stops at 4, for 76 to 90 that stops at 5, and for 91 to 105 that stops at 8. There is no shaded bar for the 16 to 30 interval.
Which of the following best describes the shape of the data, and why?
The data is symmetric because the majority of students sent fewer than 45 text messages.
The data is symmetric because some students have phones and some do not.
The data is skewed because most text messages are replied to and cause the number to be at least twice what it was originally.
The data is bimodal because the popular number of text messages to send is between 91 and 105.
Range, because it measures the distinction between the highest and lowest values in a dataset, providing a clear estimate of variability for both sets of data. It is unaffected by skewness or symmetry, making it a useful measure of variability for comparing the temperature consistency of Desert Landing and Flower Town.
What is meant by histogram?A histogram is a rough illustration of how numerical values are distributed. Karl Pearson coined the phrase at the beginning.
A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data points over a range of successive numerical intervals of equal width. The independent variable and dependent variable are plotted along the horizontal axis and the vertical axis, respectively, in the most typical type of histogram.
A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.
Therefore, the correct answer is both option c) and d) Range, because Flower Town is skewed and symmetric.
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What is the standard deviation of the data set {2,1,1,2,2,3}?
You may use the desmos calculator to assist you.
Enter your answer as a number, rounded to the nearest tenth
The standard deviation of the data set is 0.7.
How to calculate standard deviation?First, calculate the mean of the data set:
(mean) = (2+1+1+2+2+3)/6 = 11/6 ≈ 1.8
Next, calculate the deviation of each data point from the mean:
2 - 1.8 = 0.2
1 - 1.8 = -0.8
1 - 1.8 = -0.8
2 - 1.8 = 0.2
2 - 1.8 = 0.2
3 - 1.8 = 1.2
Now square each deviation:
0.2² = 0.04
(-0.8)² = 0.64
(-0.8)² = 0.64
0.2² = 0.04
0.2² = 0.04
1.2² = 1.44
The sum of the squared deviations is:
0.04 + 0.64 + 0.64 + 0.04 + 0.04 + 1.44 = 2.84
To find the variance, we divide by the number of data points:
variance = 2.84/6 ≈ 0.4733
Finally, take the square root of the variance to get the standard deviation:
standard deviation = √(0.4733) ≈ 0.69
Therefore, the standard deviation of the data set {2,1,1,2,2,3} is approximately 0.7 (rounded to the nearest tenth).
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utomobile trips there are major roads from city to city and major roads from city to city . how many different trips can be made from city to city passing through city ?
There are 8 different trips that can be made from City X to City Z, passing through City Y.
To find the number of different trips that can be made from City X to City Z, passing through City Y, we can use the multiplication principle of counting.
First, we need to choose one of the 2 major roads from City X to City Y. Then, for each of these roads, there are 4 major roads from City Y to City Z, and we need to choose one of these roads.
By the multiplication principle of counting, the total number of different trips from City X to City Z, passing through City Y, is the product of the number of choices at each stage. Thus, we get:
Number of different trips = Number of roads from City X to City Y x Number of roads from City Y to City Z
= 2 x 4
= 8
This calculation shows how the multiplication principle of counting can be used to find the total number of possible outcomes in a multi-stage process where the number of choices at each stage is known.
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Complete question is:
Automobile Trips. There Are 2 Major Roads From City X To City Y And 4 Major Roads From City Y To City Z. How Many Different trips can be made from City X to City Z, passing through City Y?
I need help………………………….
The equation representing the scenario is 1.5x + 8 = 20 and the possible number of rides is 8.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, The cost of entering the fair is $8 and the cost of each ride is $1.50.
Let, The number of rides be 'x'.
Therefore, The equation can be formed as, 1.5x + 8 = 20.
Now, To obtain the number of rides,
1.5x + 8 = 20.
1.5x = 12.
x = 12/1.5.
x = 8.
So, 8 rides are possible.
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question 11
help me asap
Answer:
CF = 7.2 cm
Step-by-step explanation:
given 2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
BF ×FC = DF × EF
10x = 8 × 9 = 72 ( divide both sides by 10 )
x = CF = 7.2 cm
the tickets for the field trip were purchased yesterday for both students and instructors. children tickets cost $11, adult tickets cost $13. the number of children tickets purchased was one more than ten times the number of adults tickets purchased. how many of each were purchased if all of the tickets cost a total of $995 dollars?
42 adult tickets and 421 children tickets were purchased for the field trip, based on the given information that the total cost of the tickets was $995 and the children tickets cost $11 while the adult tickets cost $13, and the number of children tickets purchased was one more than ten times the number of adults tickets purchased.
Let's use variables to represent the unknown quantities in the problem:
Let x be the number of adult tickets purchased
Then the number of children tickets purchased is 10x + 1 (since it is one more than ten times the number of adults tickets purchased)
Using these variables, we can set up an equation based on the total cost of the tickets:
13x + 11(10x + 1) = 995
Simplifying and solving for x, we get:
23x + 11 = 995
23x = 984
x = 42.7826087 (rounded to 9 decimal places)
Since we can't purchase a fraction of a ticket, we'll round x down to the nearest whole number, which means 42 adult tickets were purchased. Then the number of children tickets purchased is:
10x + 1 = 10(42) + 1 = 421
So, 42 adult tickets and 421 children tickets were purchased.
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Bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. After downloading a valid data set from the internet, he calculates the correlation.
The correlation value he calculates is only 0.05. What does Bob conclude?
A. Bob gives up on his research because r=.05 means there is no relationship of any kind between bedrooms and selling price.
B. Bob continues his research because even though there is no linear relationship here, there could be a different relationship.
Option B. Bob continues his research because even though there is no linear relationship here, there could be a different relationship.
A correlation coefficient of 0.05 indicates a very weak linear relationship between the number of bedrooms in a home and its selling price. In other words, the number of bedrooms in a home does not seem to be a strong predictor of its selling price based on the data that Bob has analyzed. However, this does not mean that there is no relationship at all between these two variables. There could be a different type of relationship, such as a non-linear relationship, that is not captured by the linear correlation coefficient. It's possible that Bob will need to use other techniques, such as regression analysis, to better understand the relationship between the number of bedrooms in a home and its selling price.
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Please Help will mark Brainliest!!!
Answer: Neither
3, 5, 9,17
+ 2 +2
They are not the same #'s. For example, if you add 5 and 2 together you get 7. 9 does not equal 7. Not arithmetic, or geometric sequence.
Help fast please!!! Trigonometry word problems
Answer: pay attention
Step-by-step explanation:
An image of a parallelogram is shown.
A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.
What is the area of the parallelogram?
four hundred twenty-three and one-half ft2
four hundred twenty-seven and one-half ft2
four hundred thirty-three and one-eighth ft2
four hundred fifty-five and one-eighth ft2
Answer: Answer: c.)four hundred thirty-three and one-eighth ft2
Step-by-step explanation:
To find the area of a parallelogram, we use the formula A = b x h, where b is the base and h is the height. Inserting the given values, we have
A = 22.5 ft x 19.25 ft = 433.125 ft2
Therefore, the area of the parallelogram is four hundred thirty-three and one-eighth ft2.
The area of the parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet is four hundred thirty-three and one-eighth ft²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.
Now, We know that;
Area of a parallelogram = Base × Height
Substitute the given values, we get;
⇒ Area of a parallelogram = Base × Height
⇒ Area of a parallelogram = 22 1/2 × 19 1/4
⇒ Area of a parallelogram = 45/2 × 77/4
⇒ Area of a parallelogram = 3465/8
⇒ Area of a parallelogram = 433 1/8 ft²
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A passenger train leaves a train depot 1 h after a freight train leaves the same depot. The freight train is traveling 18 mph slower than the passenger train. Find the rate of each train if the passenger train overtakes the freight train in 2 h.
A. passanger train ___ mph
B. freight train ___ mph
A. passenger train 36mph
B. freight train 18mph
What is meant by speed?
Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.
Given that, A freight train departs from a train depot and let us consider it is travelling at an 'x' mph
and An hour later a passenger train departs the same train depot with a speed 'of x+18 mph.
After 2 hours the passenger train overtakes the freight train.
The total distance travelled by both trains when the passenger train overtakes the freight is equal.
Distance travelled by freight train = x*3
Distance travelled by passenger train = (x+18)*2
Now, 3x = 2x + 36
x = 18
and x + 18 = 36
Therefore, The speed of the passenger train and freight train are 36mph, and 18mph respectively
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four students, tamika, arianys, jin, and mohal, line up one behind the other. how many different ways can they stand in line?
There are 24 different ways they can stand in line.
By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.
There are four students, and each one can be in any one of the four positions in the line. Therefore, the total number of different ways they can stand in line is:
4 × 3 × 2 × 1 = 24
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Find the value of x.
X=
The measure of x is 14, by using the definition of secants.
What are secants?A straight line that intersects a circle in two points is called a secant line. A chord is the line segment that joins two distinct points of the circle. A chord is in a unique secant line and every secant line defines a unique chord. In geometry, a secant is a line that cuts any curve in at least two different points.
Given that, two secants are intersecting inside the circle making two arcs measuring 55° and 75° and an angle measuring 3x+23
We know that,
If two secants intersect inside a circle, then the measure of the angle formed is equal to half the sum of the measures of the intercepted arcs.
Therefore,
3x+23 = 1/2[55° + 75°]
3x+23 = 1/2 × 130
3x+23 = 65
3x = 42
x = 14
Hence, the measure of x is 14, by using the definition of secants.
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Write a piece wise function for each function graphed below.
The piecewise function for the graph is given as follows:
y = -2, x < -4.y = 0.5x + 4, -4 < x ≤ 2y = -1.5x + 1, x > 1.How to define the piecewise function?A piecewise function is a function that has different definitions, depending on the input x of the function.
The three different definitions for the function in this problem are given as follows:
x < -4.-4 < x ≤ 2.x > 2.For x < -4, the function is constant at y = -2, hence:
y = -2, x < -4.
For -4 < x ≤ 2, the function is linear, with an slope of 0.5 and intercept of 4, hence:
y = 0.5x + 4, -4 < x ≤ 2
For x > 2, the function is also linear, with slope of -1.5, hence at x = 0 it would assume a value of 1, thus:
y = -1.5x + 1, x > 1.
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Hank came home from Trick-Or-Treating
with 8 Reece's, 12 Snickers, 5 Sour Patch
Kids, 4 Hershey's bars and 6 packs of
Skittles. Hank is allergic to chocolate.
Write the ratio of candy that Hank can
eat to the total amount Hank has.
Since Hank is allergic to chocolate, he cannot eat Reese's, Snickers, Hershey's bars, or any other type of chocolate candy.
Therefore, the only candy that Hank can eat is the Sour Patch Kids and Skittles.
The total number of Sour Patch Kids that Hank has is 5.
The total number of Skittles that Hank has is 6 packs, or 6 * the number of Skittles in one pack (let's assume it's 10 Skittles per pack). So, the total number of Skittles that Hank has is 6 * 10 = 60.
Adding the number of Sour Patch Kids and Skittles, the total number of candy that Hank can eat is 5 + 60 = 65.
The total amount of candy that Hank has is 8 Reece's + 12 Snickers + 5 Sour Patch Kids + 4 Hershey's bars + 6 packs of Skittles = 8 + 12 + 5 + 4 + 6 * 10 = 8 + 12 + 5 + 4 + 60 = 89.
The ratio of candy that Hank can eat to the total amount of candy he has is 65 / 89 = approximately 0.73, which can be expressed as a simplified fraction as 73 / 100.
Answer:
11:35
Step-by-step explanation:
no step by step explanation.
a person stands on a bathroom scale. the reading is 150 lb. after the person gets off the scale, the reading is 2 lb. a. is it possible to estimate the uncertainty in this measurement? if so, estimate it. if not, explain why not. b. is it possible to estimate the bias in this measure- ment? if so, estimate it. if not, explain why not.
a) Yes, it is possible to estimate the uncertainty in this measurement. the measurement of 150 lb has an uncertainty of +/- 0.5 lb.
b) It is not possible to estimate the bias in this measurement without further information.
a) Uncertainty represents the range of possible values that a measurement can have due to the limitations of the measuring instrument or the process of measurement. In this case, the uncertainty can be estimated by considering the precision of the bathroom scale.
If the scale is precise to the nearest pound, then the uncertainty can be estimated to be half of the smallest graduation of the scale, which is 0.5 lb.
b)Bias represents a systematic error in a measurement, which can arise due to various factors such as the design of the measuring instrument or the process of measurement.
In this case, we do not have any information about the design of the bathroom scale or the conditions under which the measurement was taken. Therefore, we cannot estimate the bias in this measurement.
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5.) DO THE MATH: In 1921, $1,500,000 in real estate and $750,000 in personal property
was lost. Add both numbers and subtract them rom $32, 250,000 from 2019. What is the
difference? (10 points)
The difference between 2019 and 1921 is given by $30,000,000
What is the difference?Difference refers to the subtraction of two or more values.
1921 loss:
Real estate= $1,500,000
Personal property = $750,000
Total loss = $1,500,000 + $750,000
= $2,250,000
2019:
$32, 250,000
The difference between 2019 and 1921
= $32, 250,000 - $2,250,000
= $30,000,000
Therefore, there is a difference of $30,000,000
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Grandpa Mick opened a pint of ice cream. He gave his youngest grandchild 1
5
of the ice cream and his
middle grandchild 1
4 of the remaining ice cream. Then, he gave his oldest grandchild 1
3
of the ice cream
that was left after serving the others
a. The oldest grandchild got the most ice cream.
b. The remaining ice cream will be represented by a fraction of 59/100 of the original amount.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
a. The oldest grandchild got the most ice cream.
b. Let's first calculate the fraction of the ice cream that was left after serving the youngest and middle grandchild.
The youngest grandchild received 1/5 of the ice cream, which means 4/5 was left.
Then the middle grandchild got 1/4 of the remaining 4/5, which is 1/5. So 4/5 - 1/5 = 3/5 of the ice cream is left.
Now, if Grandpa Mick serves himself the same amount as the second grandchild (1/4 of the original amount), he will be taking 1/4 of 1/5 of the original amount, which is 1/20.
So the remaining ice cream will be 3/5 - 1/20 = 59/100 of the original amount.
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The question seems incomplete, the missing part would be as:
Grandpa Mick opened a pint of ice cream. He gave his youngest grandchild 1/5 of the ice cream and his middle grandchild 1/4 of the remaining ice cream. Then, he gave his oldest grandchild 1/3 of the ice cream that was left after serving the other. a. Who got the most ice cream? b. What fraction of the pint of ice cream will be left if Grandpa Mick serves himself the same amount as the second grandchild?
Nishtha has rs 1 coin , rs 2 coin , rs 5 coin, rs 10 coin. She needs to pay for a pencil rs 4. What is the probability of her using 5 rs coin
The probability of Nishtha using Rs 5 coin is [tex]\frac{1}{4}[/tex] , if she needs to pay for a pencil Rs 4.
P(E) = number of favorable outcomes / total number of outcomes
Denominations of coins = ₹1, ₹2, ₹5 and ₹10 each
Total number of coins = 4
Coins that can pay the amount = ₹5 and ₹10
Number of Favorable Outcomes = 2
For the probability of using two coins :-
P(E) = [tex]\frac{2}{4} = \frac{1}{2}[/tex]
we have to find the probability of using ₹5 coin. And here the probability of using of ₹5 coin and ₹10 coin are equal likely. So using of ₹5 coin is 50% of the probability of using both coin
P(rs5) = [tex]50\% \times \frac{1}{2}[/tex]
= [tex]\frac{1}{4}[/tex]
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There are purple, white and blue counters in a bag in the ratio 16:18:3
There are 78 more purple counters than blue counters.
How many white counters are there?
Answer:
Step-by-step explanation:
Step-by-step explanation:
Let's call the number of purple counters "x". This means that the number of blue counters is x - 78, and the number of white counters is 18x.
According to the ratio, the sum of the number of purple and blue counters is 16x + (x - 78) = 17x - 78.
And the sum of all counters is 16x + 18x + 3x = 37x.
Knowing that the sum of all counters is the same, we can set the two sums equal to each other:
37x = 17x - 78 + 37x
So, we have:
74x = 17x - 78 + 37x
57x = -78
x = -78/57
Since x can't be negative, we have to reject this solution.
However, the number of white counters can be found by multiplying 18 by the number of purple counters:
18 * x = 18 * (x/57) = (18/57) * x = (18/57) * 78 = 72
Therefore, there are 72 white counters in the bag.
Use the Slope Formula to calculate the slope of a line with these two points. Find the slope of the line that passes through (1,9) and (4, 8).
mrazek et al.'s (2013) study reported that students scored higher on the gre after completing a 2-week mindfulness training course. the authors took a sample of 60 college seniors and randomly assigned one group to a two week mindfulness training course. both the group who did the mindfulness training and the control group who did not, took the gre. the mindfulness group had higher scores than the control group. (1) state the hypothesis, (2) describe what type of study design this is and (3) justify your choice of the study type above. (4) list the two variables with their operational definitions (5) does this study demonstrate that the relationship between the two variables is causal? why or why not?
(1) The hypothesis is stated that completing a 2-week mindfulness training course
(2) The type of study design this is randomized controlled trial.
(3) The choice of the study type is randomized controlled trial is justified. (4) The list of the two variables with their operational definitions is 2-week mindfulness training course and GRE scores.
(5) Yes, this study demonstrate that the relationship between the two variables is causal
In a study conducted by Mrazek et al. (2013), it was found that students who completed a 2-week mindfulness training course scored higher on the GRE than those who did not participate in the training.
The hypothesis of this study is that completing a 2-week mindfulness training course will result in higher scores on the GRE compared to those who do not complete the training.
This study design is a randomized controlled trial. In this type of study, participants are randomly assigned to either a treatment or control group, and the effects of the treatment are compared to the effects of no treatment (or a placebo). In this case, the treatment group received the 2-week mindfulness training course, while the control group did not.
The choice of study type as a randomized controlled trial is justified because it allows for the comparison of two groups while minimizing the effects of confounding variables. Random assignment to groups helps to ensure that any differences in outcomes between the groups are due to the treatment and not some other factor.
The two variables in this study are the completion of the 2-week mindfulness training course and GRE scores. The operational definition of completion of the training course is that participants in the treatment group attended all sessions of the 2-week course. The operational definition of GRE scores is the score that participants received on the exam.
This study does suggest a causal relationship between completion of the mindfulness training course and higher GRE scores. The randomized controlled trial design helps to reduce the effects of confounding variables, making it more likely that any observed differences in outcomes between the treatment and control groups are due to the treatment.
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Serena is ordering lunch from Tony's Pizza Parlor. John told her that
when he ordered from Tony's last week, he paid $34 for two 16-inch
pizzas and two drinks. Jodi told Serena that when she ordered one
16-inch pizza and three drinks, it cost $23.
Write two equations to represent the two statements that Serena hears.
The cost of each pizza is $14 and the cost of each cool drink is $3.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, John told Serena that when he ordered from Tony's last week, he paid $34 for two 16-inch pizzas and two drinks.
Let the cost of each pizza be x and the cost of each cool drink be y.
Now, 2x+2y=34
x+y=17 -------(i)
Jodi told Serena that when she ordered one 16-inch pizza and three drinks, it cost $23.
x+3y=23 -------(ii)
Subtract equation (i) from (ii), we get
x+3y-(x+y)=23-17
2y=6
y=3
Substitute y=3 in equation (i), we get
x=14
Therefore, the cost of each pizza is $14 and the cost of each cool drink is $3.
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In the given figure, find the value of x .
Answer: Maybe first give an equation
Step-by-step explanation:
If the trapezoid below is reflected across the x-axis, what are the coordinates
of B?
Answer:
C
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
B (3, 8 ) → B' (3, - 8 )
32 children voted for thier favorite ice cream chocolate 3/8 so how may children voted for chocolate explanation step by step plssss
On solving the provided question we can say that The result of multiply the total number of kids by the proportion of those who enjoy chocolate is 12
What is Multiplication?Along with addition, subtractiοn, and division, multiplication is one of the four arithmetic operations. Multiplicatiοn in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals prοduct.
Specifically, multiplicand: First number (factοr). divider: Second number (factor). After multiplying the multiplicand and the multiplier, the result is knοwn as the product. Multiple additiοns are made while adding numerals. as in 5 times 4 Equals 5 + 5 + 5 + 5 = 20, I multiplied 5 by 4 times. Multiplication is frequently referred tο as "doubling" because οf this.
The result of multiply the tοtal number of kids by the proportion of those who enjoy chocolate is
32 × 3/8 = 12
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a plane ticket to baecelona is £175 the price decreased by 6%
how much is it now?
The plane ticket to Barcelona is now £164.50. This is because 6% of £175 is £10.50 and if you subtract £10.50 from £175, it equals £164.50.
the mayor of a town believes that over 51% of the residents favor construction of an adjoining bridge. is there sufficient evidence at the 0.01 level to support the mayor's claim? after information is gathered from 380 voters and a hypothesis test is completed, the mayor fails to reject the null hypothesis at the 0.01 level. what is the conclusion regarding the mayor's claim?
The conclusion is that there is sufficient evidence at the 0.01 level to support the mayor's claim that under 51% of the residents favor construction of the bridge.
The mayor rejects the null hypothesis at the 0.01 level, which means that the results from the hypothesis test show that the actual proportion of residents who favor construction is less than 51%. The alternative hypothesis would be that the true proportion is less than 51%. After gathering information from 380 voters, the results of the hypothesis test were used to make a decision on whether to reject or fail to reject the null hypothesis.
If the hypothesis test showed that the null hypothesis could be rejected at the 0.01 level, it means that there was sufficient evidence to support the mayor's claim that less than 51% of the residents favor the bridge construction. However, it's important to note that hypothesis testing is not a perfect method and other factors such as sample size and sampling method should also be considered when interpreting the results.
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An elevator is on the 18 th floor. If elevator moves down 16
floors and then comes up 12 floors, then on which floor is the
elevator at this situation?
The elevator is on the 14th floor at this situation.
What is the basic arithmetic operation?
Arithmetic operations are mathematical operations that involve basic calculations such as addition, subtraction, multiplication, and division. These operations are used to perform calculations with numbers and are used in a wide range of mathematical and real-life situations.
If the elevator is on the 18th floor, and it moves down 16 floors, it will be on the 2nd floor.
After that, the elevator comes up 12 floors from the 2nd floor. So, it will be on the floor:
2 + 12 = 14
Therefore, the elevator is on the 14th floor at this situation.
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y = -2x + 1
4x + 2y = -1
(0, -3)
(-3,0)
No solution
Infinitely many solutions
The given equations having infinitely many solutions.
What is Solutions of system of equation?
A solution to a system of equations is a collection of variable values that satisfy all of the equations at the same time. To solve a system of equations, one must determine all of the sets of variable values that compose the system's solutions.
The solution to the system of equations y = -2x + 1 and 4x + 2y = -1 can be determined graphically by plotting both equations on the same set of axes and finding the points of intersection.
If there is exactly one point of intersection, then that point represents the unique solution to the system. If there are no points of intersection, then the system has no solution. If there are infinitely many points of intersection, then the system has infinitely many solutions.
Based on the information you provided, the system has two points of intersection: (0, -3) and (-3, 0). This means that the system has two solutions, and the solution set is the set of all points on the line that passes through these two points.
Therefore, The given equations having infinitely many solutions.
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