Answer:
6.6
Step-by-step explanation:
What is the best way to describe the center of the data represented in this line plot?
The best way to describe the center of the data represented in a line plot is by using measures of central tendency.
- Measures of central tendency include mean, median, and mode.
- Mean is calculated by adding up all the data points and dividing by the total number of data points. It gives an idea of the average value of the data.
- Median is the middle value of the data set when arranged in order. It is not affected by extreme values or outliers and gives an idea of the middle value of the data.
- Mode is the value that appears most frequently in the data set. It is useful when the data has repeated values.
To describe the center of the data represented in a line plot, one can use measures of central tendency. The three most commonly used measures of central tendency are mean, median, and mode. Mean is calculated by adding up all the data points and dividing by the total number of data points. It gives an idea of the average value of the data. For example, if a line plot represents the number of hours spent studying for an exam, the mean could give an idea of the average number of hours studied by the students. Median is the middle value of the data set when arranged in order. It is not affected by extreme values or outliers and gives an idea of the middle value of the data. For example, if a line plot represents the salaries of employees in a company, the median could give an idea of the salary earned by the middle-ranked employee. Mode is the value that appears most frequently in the data set. It is useful when the data has repeated values. For example, if a line plot represents the favorite color of a group of people, the mode could give an idea of the color that is most commonly preferred. Therefore, by using these measures of central tendency, one can describe the center of the data represented in a line plot.
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Solve the system of linear equations by elimination.
9x+2y=39
6x+13y=−9
\((x, y) = (5, - 3)\)
Detailed solutions attached!!~The probabilities by subject of on-time assignment submission and on-time arrival in class are given in the table.
Subject On-time Assigment
Submission On-time Arrival
in Class
Physics 89. 7% 82. 3%
Math 88. 2% 88. 7%
Chemistry 89. 4% 83. 1%
Biology 90. 1% 82. 4%
Total 88. 5% 84. 7%
Identify the probability of on-time arrival in class given that the subject is biology.
Given that biology is the subject, the Probability of being on time is 32.8%.
In this case:
P(on-time arrival in class | biology) = P(on-time arrival in class and biology) / P(biology) is the result of applying the conditional probability formula.
According to the table, 82.4% of students will be on time for biology class. Since there are four topics listed, each with an equal weight, the likelihood of biology is 25%. Therefore, we have:
P(on-time arrival in class | biology) = 82.4% / 25% = 0.328 = 32.8%
Therefore it can be concluded that the probability of on-time arrival in class given that the subject is biology is 32.8%.
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Identify the correct explanation for why the triangles are similar. Then find TO and US.
Answer:
The correct explanation is option B;B. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6
Step-by-step explanation:
The given parameters are;
= 5
= 10
= + = 15
= x - 3
= x + 1
A two column proof is presented as follows;
Statement Reason
∠L ≅ ∠L By Reflexive property of congruency
║ Given
∠LOP ≅ ∠LMN By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
/ = / = 5/15 = 1/3
∴ (x - 3)/(x + 1) = 1/3
3·(x - 3) = 1·(x + 1)
3·x - 9 = x + 1
3·x - x = 1 + 9 = 10
2·x = 10
x = 10/2 = 5
x = 5
= (x - 3) = 5 - 3 = 2
= 2
= x + 1 = 5 + 1 = 6
= 6
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.
/TO/ and /US/ are parallel so the angles at TOS (©)and the external angle at OSU (©) are equal ( Z angles) therefore the internal angle at OSU will be 180 - © similarly the angle at POT is also 180 - ©
solve for x and y, picture is provided below
The value of x and y from the Cyclic Quadrilateral is x=11 and y= 0.
What is Cyclic Quadrilateral?A quadrilateral whose four vertices all fall on a circle is said to be cyclic. Additionally known as an inscribed quadrilateral. The circumcircle or circumscribed circle is the circle that has every vertex of any polygon along its perimeter.
Given:
We have the Angles of Cyclic Quadrilateral.
Now, we know that the opposite angle of Cyclic quadrilateral sum upto 180.
So, 10x - 6 + 2y + 76 = 180
10x - 2y = 110.............(1)
and, 8x+3 + 2y+ 89= 180
8x+ 2y = 88........(2)
Solving Equation (1) and (2) we get
x= 11 and y=0
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At the local playground, there are six different swings, three different spring riders and four different slides. Suppose that a toddler just arrives at the playground and selects two pieces of playground equipment "without replacement" (so, just as an example, if the toddler chooses a swing first, they can then choose a different swing or a different type of equipment, but not the exact same swing). Find the probability that the toddler selects a slide first and then a spring rider.
The probability that the toddler selects a slide first and then a spring rider is approximately 0.0839, or 8.39%.
To find the probability that the toddler selects a slide first and then a spring rider, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes:
The toddler selects 2 pieces of playground equipment without replacement. This means that for the first selection, there are 6 swings, 4 slides, and 3 spring riders to choose from. After the first selection, there are 11 remaining options for the second selection (since one piece of equipment has already been chosen). Therefore, the total number of possible outcomes is 6 + 4 + 3 (first selection) multiplied by 11 (second selection) = 13 * 11 = 143.
Number of favorable outcomes:
To select a slide first, there are 4 slides to choose from initially. After selecting a slide, there are 3 spring riders remaining. Therefore, the number of favorable outcomes is 4 (slides) multiplied by 3 (spring riders) = 12.
Probability:
The probability is given by the number of favorable outcomes divided by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 12 / 143
≈ 0.0839
Therefore, the probability that the toddler selects a slide first and then a spring rider is approximately 0.0839, or 8.39%.
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please graph y≤ 2x-3
R1 V
Х
Х
Complete the following table, by using x for no and ✓ for yes:
N No. Z
Q 04 R
e.g.: 0
✓ ✓ ✓
-6 X X
0,12543
V2
1
4
22
7
V-8
5
끓
0,999....
Answer:
✓ ✓ ✓
-6 X X✓ ✓ ✓
-6 X X
find the output, y, when the input , x, is 5 y=5x-2
Step-by-step explanation:
given,
x = 5
given expression,
y = 5x - 2
after inserting the value x = (5)
now,
y = 5(5) - 2
y = 25 - 2 = 23
y = 23 ans.
therefore, value of y is 23.
Hope this answer helps you!
Answer:
y = 23
Step-by-step explanation:
substitute x = 5 into the equation
y = 5(5) - 2 = 25 - 2 = 23 ← output
Ten people are trying to cross a river on a boat that holds only 300 pounds. There are 3 at 100 pounds, 2 at 150 pounds and 3 at 200 pounds and 2 at 300 pounds. Make small sheets of paper to determine the fewest trips across the river to get everyone across. Use your labeled pieces of paper to count each trip each way on the river. Take the picture with pieces of paper.
Finally, we can take the two people at 150 pounds and three people at 100 pounds across the river
Then, we can gradually reduce the weight as we take more people across. This allows us to make efficient use of the weight capacity of the boat.
The problem is to get ten people across a river in a boat that can hold only 300 pounds. The weights of the people are given as follows:
3 people at 100 pounds each2 people at 150 pounds
each3 people at 200 pounds each2 people at 300 pounds each.
There are different strategies that can be used to solve this problem.
One possible approach is to first take the heaviest people across the river.
For example, we can take the two people at 300 pounds across the river first.
This would leave us with 8 people weighing a total of 900 pounds.
Next, we can take the three people at 200 pounds across the river, which would leave us with 5 people weighing a total of 100 pounds.
Finally, we can take the two people at 150 pounds and three people at 100 pounds across the river, which would use up the remaining weight capacity of the boat.
This would require three trips across the river, as follows:
1. Two people at 300 pounds
2. Three people at 200 pounds
3. Two people at 150 pounds and three people at 100 pounds Note that this strategy uses the fact that we can take the heaviest people across first, since they require the most weight capacity.
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PLEASE HELP ASAP!!
y = x^2 − 5x + 9
y = -2x
solve these algebraically to get graph points
Answer:
The parabolic equation does not intersect the linear equation.
Explanation:
Given equation's:
y = x² − 5x + 9y = -2xTo solve , use substitution method by inserting 2nd equation into 1st
\(\sf y = x^2 - 5x + 9\)
when substituted y = -2x
\(\sf -2x = x^2 - 5x + 9\)
collect terms
\(\sf x^2 - 5x+ 2x + 9=0\)
simplify
\(\sf x^2 - 3x + 9=0\)
Find discriminant:
\(\sf b^2 - 4ac\)
\(\sf (-3)^2 - 4(1)(9)\)
\(\sf -27\)
As the discriminant is negative, it tell us that they both does not intersect each other.
Suppose that frank owns a gasoline station and he knows that the mean number of gallons of gasoline purchased at his station is 16.2 gallons per vehicle. in a 30 minute period, frank expects 20 vehicles to come to his station for gasoline. how many gallons of gasoline can frank expect to sell during this period ?
If Frank knows that the mean number of gallons of gasoline purchased at his station is 16.2 gallons per vehicle and in a 30-minute period, Frank expects 20 vehicles to come to his station for gasoline then the number of gallons of gasoline Frank can expect to sell during this period is equal to 324.
The number of gallons of gasoline Frank can expect to sell during the 30-minute period can be determined by using multiplication. Multiplication can be defined as the branch of mathematics involved in the idea of the repeated addition of numbers.
As the mean number of gallons of gasoline purchased is 16.2 gallons per vehicle, then we can find the gallons of gasoline purchased by 20 vehicles in a 30-minute period as follows,
1 vehicle = 16.2 gallons of gasoline
20 vehicles = x gallons of gasoline
Solving for x by cross multiplication,
x = 20 × 16.2
x = 324
Hence, Frank can expect to sell 324 gallons of gasoline during the 30-minute period.
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A cylindrical tank has a radius of 4 ft and holds 100 cu ft of water. What is the height of the tank?
Please help!!
Answer:
400 ft.
Step-by-step explanation:
4×100=400
This shows that when you multiply the radius of 4 by 100 ft. you gett a height of 400 which means the the height of the tank is 400 ft.
Help me please itsmath
Answer:
I'ts B, (5,2)
Step-by-step explanation:
It's B :)
Answer:
A
Step-by-step explanation:
the equation is the second one
certain standardized math exams have a mean of 100 and a standarad deviation of 60. of a sample of 36 students who take this exam, what percent could you expect to score above 110
Using the Normal Z-distribution and the values from the Z-table, We can calculate that 12.5% can be expected to score between 70 and 90 according to the value of the mean and standard deviation provided.
A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it.
mean =100
standard deviation =60
70≤ x ≤ 90
70 - 100 ≤ x - 100 ≤ 90 -100
-0.5 ≤ Z ≤ -0.167
P = 0.125(From Z-Table)
Required percentage = 12.5%
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The correct question is:
certain standardized math exams have a mean of 100 and a standard deviation of 60. of a sample of 36 students who take this exam, what percent could you expect to score between 70 and 90?
Your friend has started a candle making business. She has invested $1,500 on equipment. The cost
of creating the candles including labour, candle wax, and all other materials is $12. She charges $23.50
for her services. How many candles does she need to sell in order to break even?
if She sells 131 candles, she will have earned enough revenue to cover her costs and break even.
To determine how many candles your friend needs to sell in order to break even, we need to calculate her total costs and total revenue.
First, let's calculate your friend's total costs per candle. She spends $12 on each candle, which includes the cost of labour, materials, and candle wax.
Next, let's calculate your friend's total revenue per candle. She charges $23.50 for each candle.
Now, we can calculate the number of candles your friend needs to sell in order to break even by setting the total revenue equal to the total cost:
$23.50x = $1,500 + $12x
where x is the number of candles your friend needs to sell.
Simplifying this equation, we get:
$23.50x - $12x = $1,500
$11.50x = $1,500
x = $1,500 ÷ $11.50
x = 130.43
Rounding up, your friend needs to sell 131 candles in order to break even.
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Cb ⊥ ac by the radius-tangent theorem, so ∠c is a right angle. δabc is a right triangle, so apply the pythagorean theorem. use the steps and solve for the radius. r2 82 = (r 5)2 r2 64 = r2 10r 25 r =
By the radius-tangent theorem, the radius is equal to 39/10 units.
What is Pythagorean theorem?In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
Since CB is tangent to OA at point C and line segment CB is perpendicular to line segment AC by the radius-tangent theorem, we would determine the radius by applying Pythagorean's theorem as follows;
r^2 + 8^2 = (r + 5)^2
r^2 + 64 = r^2 + 10r + 25
r^2 - r^2 = -10r + 64 - 25
10r = 39
r = 39/10 units.
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A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21
Answer:
2.5in
Step-by-step explanation:
Given parameters;
Base = 4.5inches
Height = 6inches
Area = 21in²
Unknown:
b₂ = ?
Solution:
Formula for finding the area of a trapezium;
A = \(\frac{1}{2}\)\((b_{1} + b_{2} )\) x h
Input the parameters and solve for b₂;
21 = \(\frac{1}{2}\)\((4.5+ b_{2} )\) x 6
21 = 3(4.5 + b₂)
21 = 13.5 + 3b₂
21 - 13.5 = 3b₂
b₂ = 2.5in
The length of a rectangle is 6 less than twice the width. If the perimeter is 60 inches, find the length and width.
Answer:
w = 12
l = 18
Step-by-step explanation:
Hello!
Recall the perimeter of a rectangle is twice the sum of the length and the width of the rectangle.
\(P = 2(l + w)\)Let w be the width. The length is 6 less than twice the width. That means, l is 2w - 6.
Plug it into the formula and solve, given that P is 60.
Solve for w\(P = 2(l + w)\)\(60 = 2(2w - 6 + w)\)\(60 = 2(3w - 6)\)\(60 = 6w - 12\)\(72 = 6w\)\(w = 12\)The width is 12 inches. We can plug in 12 for 2w - 6 to find the length.
Solve for l\(l = 2w - 6\)\(l = 2(12) - 6\)\(l = 24 - 6\)\(l = 18\)The length is 18 inches.
The width is 12 inches, and the length is 18 inches.
write the decimal as a percent: 0.89
Answer:
0.0089
Step-by-step explanation:
Because when we want to change decimal as percents we need to replace the period on the left side 2 times. But when we want to change percent as a decimal, then we need to move the period 2 times on the right.
ex:
.72 decimal= 0.0072
Answer:
89 as a percentage is 0.0089%
In this exercise, you’ll create a form that accepts one or more
scores from the user. Each time a score is added, the score total,
score count, and average score are calculated and displayed.
I ne
In this exercise, you’ll create a form that accepts one or more scores from the user. Each time a score is added, the score total, score count, and average score are calculated and displayed.
In order to achieve this, you will need to utilize HTML and JavaScript. First, create an HTML form that contains a text input field for the user to input a score and a button to add the score to a list. Then, create a JavaScript function that is triggered when the button is clicked.
To update these values, you will need to loop through the array of scores and calculate the total and count, and then divide the total by the count to get the average.
Finally, the function should display the updated values to the user. You can use HTML elements such as `` or `
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Which value is NOT located between these two numbers on the number line?
Answer:
C pi/9
Explanation:
"We need to find the number that is not between 1 and 6.28.
A pi = 3.14; 3.14 is between 1 and 6.28, so this is not the answer.
B sqrt(9) = 3; 3 is between 1 and 6.28, so this is not the answer.
C pi/9 = 3.14/9 = 0.349; 0.349 is not between 1 and 6.28, so this is the answer.
D pi^2/9 = (3.14 * 3.14)/9 = 9.86/9 = 1.095; 1.095 is between 1 and 6.28, so this is not the answer." (mathstudent55) thank you to mathstudent55 for the answer.
Answer:
10
Step-by-step explanation:
Squareroot of 10 over 12 is 2
3 pi is 9.424777961
Is -5/3 rational or irratuonal
Find the area
Please help me thank you!
James bought a brand new sports car for £42000. It depreciated in value by 15.3%
for each of the next four years. How much is his car now worth?
Give your answer to two significant figures.
After four years, James' sports car is now worth approximately £21,603.82.
To calculate the depreciated value of James' sports car after four years, we need to apply a 15.3% depreciation rate for each year.
First, let's calculate the depreciation amount for each year. We'll start with the initial value of £42,000.
Year 1:
Depreciation = 15.3% of £42,000 = 0.153 × £42,000 = £6,426
Value after Year 1 = £42,000 - £6,426 = £35,574
Year 2:
Depreciation = 15.3% of £35,574 = 0.153 × £35,574 = £5,444.74
Value after Year 2 = £35,574 - £5,444.74 = £30,129.26
Year 3:
Depreciation = 15.3% of £30,129.26 = 0.153 × £30,129.26 = £4,614.85
Value after Year 3 = £30,129.26 - £4,614.85 = £25,514.41
Year 4:
Depreciation = 15.3% of £25,514.41 = 0.153 × £25,514.41 = £3,910.59
Value after Year 4 = £25,514.41 - £3,910.59 = £21,603.82
Therefore, after four years, James' sports car is now worth approximately £21,603.82.
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A parallelogram is always a rectangle if
Answer:
Step-by-step explanation:
If one angle of a parallelogram is a right angle, then it is a rectangle.
Pls help I have no idea how to do this lol
Which inequality correctly compares one rational number and one irrational number
The inequality √17 > 239/58 correctly compares one rational number and one irrational number.
What is inequality?An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
As per option (A),
4π/3 and √17
The values of the above number are 4.1887 and 4.1231
Thus, 4π/3 < √17
So, given inequality 4π/3 > √17 is not true.
As per option (B),
4.\(\bar{19}\) and 239/58
The values of the above number are 4.1919 and 4.1206
Thus, 4.\(\bar{19}\) < 239/58
So, given inequality 4.\(\bar{19}\) > 239/58 is not true.
As per option (C),
√17 and 239/58
The values of the above number are 4.1231 and 4.1206
Thus, √17 > 239/58
This inequality is true.
Therefore, the inequality √17 > 239/58 correctly compares one rational number and one irrational number.
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Please answer it now in two minutes
Answer:
17.5
Step-by-step explanation:
27+4x+8=6x
27+8=6x-4x
35=2x
x=35/2=17.5
Answer:
A 17.5
Step-by-step explanation:
6x=4x+8+27
2x=35
x=17.5
Find the area of the sector in a circle whose radius is 6 and the angle measure is 140 degrees. Round your answer to the nearest hundredth.
Thus, the obtained area of sector for the given circle is found as 43.96 in².
Define about the circle's sector:Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.
The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.
given data:
Central angle Ф = 140°radius of circle r = 6 inFormula for the area of sector:
area of sector = Ф /360 * (πr²)
area of sector = 140/360 * (3.14 *6²)
area of sector = 7/18 * 3.14 *36
area of sector = 43.96 in²
Thus, the obtained area of sector for the given circle is found as 43.96 in².
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which types of measurement are used to group respondents or objects into groups or categories and are thus referred to as categorical measures?
The answer to the given question is nominal and ordinal measurements. These two type measurements are used to group respondents or objects into groups or categories and also considered as categorical measures.
What is nominal measurement?Nominal measurement is the least accurate and informative, because it only names the characteristic or identity which we are interested. In nominal variables, the numerical values just "name" the attribute differently. Thus, numerical value is simply a label.
What is ordinal measurement?Ordinal measurement reports the ranking and ordering of the data without chartering the degree of variation. Ordinal measurement includes statistical data type in which variables are in order or rank but without a degree of difference between categories. The ordinal measurement includes qualitative data. This measurement places variables in order or rank, and only allowing to measure the value as higher or lower in measurement.
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