\(( - \frac{2}{3} )( \frac{5}{4} )\)
\(( \frac{ - 2}{3} )( \frac{5}{4} )\)
\( \frac{ - 2 \times 5}{3 \times 4} \)
\( \frac{ - 10}{12} \)
\( \frac{ - 5}{6} \)
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
Answer:
A) Mr. Simpson's class; it has a larger median value 14.5 pencils.
Step-by-step explanation:
A box plot is a visual display of the five-number summary:
Minimum value = The value at the end of the left whisker.Lower quartile (Q₁) = The left side of the box.Median (Q₂) = The vertical line inside the box.Upper quartile (Q₃) = The right side of the boxMaximum = The value at the end of the right whisker.From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:
Mr Johnson's class:
Median = 11IQR = Q₃ - Q₁ = 14 - 8 = 6Range = max - min = 45 - 7 = 38Mr Simpson's class:
Median = 14.5IQR = Q₃ - Q₁ = 21 - 12 = 9Range = max - min = 50 - 0 = 50In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.
The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.
The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).
As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.
In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.
Thank you to who it is that helps me!
Answer:
B
D
D
Step-by-step explanation:
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If a state issued license plates using the scheme of 3 letters followed by 3 digits, how many plates could it issue?
Answer:
17,576,000
Step-by-step explanation:
there are 26 english letters (A-Z) and 10 digits(0-9).
there are 3 spaces for letters. therefore Any of the 26 letters can be combined with any 26 other letters and any of those can be combined with any of another 26 letters.
26*26*26= 17576
similarly 10 digits can combined in 1000 ways
10*10*10=1000
17576 letter combination can combine with 1000 digits combination.
so 17,576 x 1000 = 17,576,000 different plates could issue.
Evaluate. pls answer
Answer:
-17
Step-by-step explanation:
a) The failure rate in obtaining car license in every test held by Road Transport
Department Malaysia (JPJ) in 2013 is 8%. For the next test, twenty candidates were
chosen at random. Let X be the random variable of failure rate in obtaining car license
(C01. 13. PO1
Answer:
Step-by-step explanation:
A train travels 146 miles in 2 hours. At this rate, how many miles will it travel in 3.5 hours?
Answer:
255.5 miles
Step-by-step explanation:
146 miles - 2 hours
x miles - 3.5 hours
Cross multiply
2x = 146 x 3.5
2x = 511
Divide both sides by 2
x = 511/2
x = 255.5 miles
Answer:
255.5 Miles
Step-by-step explanation:
2 Hours= 146
1 Hour= 73
Half an hour=36.5
3.5 hours= 255.5
how to solve 36x-8y2 x is 3 y is -6
Two sides of a triangle measure 8 cm and 15 cm. Which could be the length of the third side?
6 cm
18 cm
ООО
24 cm
28 cm
(50 points)
Answer: It is 18
Step-by-step explanation:
Answer:
18cm
Step-by-step explanation:
Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure. 3X1 + 6x2 = 18 4x1 +5X2 = 30 Find the solution to the system of equations.
Solution to the system by using elementary row operations of equations is \(x1 = 3\) and \(x2 = 1\).
This can be understand by:
Step 1: Subtract 3 times the first equation from the second equation:
\(4x1 + 5x2 = 30\\-3(3x1 + 6x2) = 18\\ -x1 + -x2 = -12\)
Step 2: Add the equations to eliminate x2:
\(3x1 + 6x2 = 18\\-x1 + -x2 = -12\\2x1 = 6\)
Step 3: Divide both sides by 2 to solve for x1:
\(2x1 = 6\\x1=6/2\\x1 = 3\)
Step 4: Substitute x1 = 3 into either equation to solve for x2:
\(3(3) + 6x2 = 18\\6x2 = 6\\x2 = 1\)
Therefore, the solution to the system of equations is x1 = 3 and x2 = 1.
To reduce a matrix into row-echelon form, a series of procedures known as elementary row operations is used. These operations include multiplying one row by a nonzero value and adding it to another row, adding two rows together, switching two rows, and adding two rows together. They can be used to determine a matrix's inverse and to resolve linear equations.
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23) Write the equation in slope-intercept form of the line that contains (4, -1) and is perpendicular to
y = x + 2
♡
Step-by-step explanation:
Since it is asking for a perpendicular line, we take the reciprocal of the slope in the given equation to use as the slope for the perpendicular line.
In y = x + 2, m = 1. However, for a perpendicular line we flip and multiply by a negative 1.
(Example: If m = 3, we would take the reciprocal of it and it turns into m = -1/3. If m = - 1/4, we would take the reciprocal of it and it turns into m = 4.)
So, the m = 1 turns into a m = -1.
Now, you can use the point (4,-1) to form a point-slope equation first.
y-(-1) = -1(x-4)
Then, use basic algebra to form a slope-intercept form equation.
y + 1 = -x + 4
y = -x +3
2. If I paid $1.45 for an apple and an orange, and the apple cost 15 cents more than the orange, how much did the orange cost?
Answer:
0.80 + 0.65 = 1.45
Step-by-step explanation:
apple: 0.80
orange: 0.65
Petra jogs 6 miles in 42 minutes. At this rate, how long would it take her to jog 8 miles?
Answer:
56 minutes
Step-by-step explanation:
We can use proportions to solve.
6 miles 8 miles
------------ = ------------------
42 minutes x minutes
Using cross products.
6x = 42 *8
Divide each side by 6
x = 42/6 * 8
x = 7*8
x = 56
which expression uess exactly terms and is equivalent to 6(2 + x + x + y)
The equivalent value of the expression is A = 12 + 6x + 6x + 6y
Given data ,
Let the expression be represented as A
Now , the value of A is
A = 6(2 + x + x + y)
On simplifying the equation , we get
A = 6 ( 2 ) + 6x + 6x + 6y
On further simplification , we get
A = 12 + 6x + 6x + 6y
Hence , the expression is A = 12 + 6x + 6x + 6y
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The complete question is attached below :
which expression uess exactly terms and is equivalent to 6(2 + x + x + y)
Someone please help I will give u 1¢
Answer:
3rd option
y=1/2 x-3
Need help with da question
Shelby filled a bucket with 9 3/4 gallons of water. A few minutes later, she realized only 7 3/10 gallons of water remained. How much water had leaked out of the bucket?
Answer:
2 9/20
Step-by-step explanation:
\(9\frac{3}{4}-7\frac{3}{10}\\\frac{39}{4} -\frac{73}{10}\\\frac{39x5}{4x5}-\frac{73x2}{10x2}\\\frac{195}{20}-\frac{146}{20}\\\frac{49}{20}\\2\frac{9}{20}\)
*I used an x for the multiplication symbol...there's no variable involved in this.
I'll mark whoever answers first!! Please help me
Answer:
Center ( -8, 1 )
Radius ( 13 )
Solve for v:
5(5v + 4) = 17v + 8v+ 9 + 9
Omg Pleasssee Help Me
Answer:
5(5v+4)=17v+8v+9+9
25v+20=25v+18
25v-25v=18-20
0v=-2
i think soooo
this question is very very irrelevant
Step-by-step explanation:
Factor the expression. 16m2 – 24mn + 9n2
(4m – 3n)(4m + 3n)
(4m – 3n)2
(16m – 3n)(m + 3n)
(4m + 3n)2
16m2 – 24mn + 9n2
((16 • (m2)) - 24mn) + 32n2
(24m2 - 24mn) + 32n2
= (4m - 3n)2
Please give me the correct answer
Answer:
20,000
Step-by-step explanation:
use a calculator
Answer:
Step-by-step explanation:
standard notation of 2 x10^4 is 2x10000 (4 zero's)
20,000 kw h
Parkview Elementary School has 138 fifth grade students. There are 6 fifth grade classrooms. How many students are in each classroom?
28
21
23
25
Answer:
23
Step-by-step explanation:
138 / 3 = 23
Answer: The quotient is 23.
John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.
A sheriff patrols several neighborhoods in her patrol car it requires 3/15 of an hour to patrol an entire neighborhood how many neighborhoods can the sheriff patrol in 5/8 of an hour
Based on the time it takes to patrol one neighborhood, the number of neighborhoods that the sheriff can patrol in 5/8 of an hour is 3.125 neighborhoods
How to find the number of neighborhoods?The number of neighborhoods that the sheriff can patrol in 5/8 hours depends on the number of hours that it takes the sheriff to patrol one neighborhood.
The number of neighborhoods she can patrol can therefore be found by the formula:
= Number of hours sheriff has / Number of hours required to patrol one neighborhood
= 5/8 ÷ 3/15
= 5/8 x 15/ 3
= 75 / 24
= 3.125 neighborhoods
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You work at a coffee shop and they pay you $12.80 an hour. If you work 34
works this week, what is your straight-time pay?
A. $435.20
B. $438.80
C. $442.20
D. $444.60
E. $446.40
F. $448.20
Answer:
answer is A $435.20
Step-by-step explanation:
I guess I was help full for u
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38% of what number is 171?
Answer:
450
Step-by-step explanation:
We know that 171 is 38%, since they are trying to find the number which is 100%.
38% = 171
1% = 171 ÷ 38 = 4.5
100% = 4.5 x 100 = 450
Solve for n. 7n - 2 = 5n + 6
Answer:
n = 4
Step-by-step explanation:
Pre-SolvingWe are given the equation 7n - 2 = 5n + 6, ans we want to solve it for n.
To do this, we need to isolate n one one side.
SolvingLet's start by adding 2 to both sides.
7n - 2 = 5n + 6
+2 +2
_______________
7n = 5n + 8
Now, subtract 5n from both sides.
7n = 5n + 8
-5n -5n
_______________
2n = 8
Divide both sides by 8 to get the value of n.
2n = 8
÷2 ÷2
________
n = 4
A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallon with a standard deviation of 0.05 gallons. The paint volumes are approximately bell-shaped. Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
Answer:
Approximately 68%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1, standard deviation = 0.05.
Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
0.95 = 1 - 0.05
1.05 = 1 + 0.05
So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.
68.29% of pails have volumes between 0.95 gallons and 1.05 gallons.
Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
\(z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \sigma=standard\ deviation\)
Given that:
μ = 1, σ = 0.05
\(For\ x=0.95:\\\\z=\frac{0.95-1}{0.05} =-1\\\\For\ x=1.05:\\\\z=\frac{1.05-1}{0.05} =1\)
P(0.95 < x < 1.05) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 68.29%
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The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. What is the probability that no more than 2 customers will arrive in a minute
Answer:
The probability that no more than '2' customers will arrive in minute = 1.5412
Step-by-step explanation:
Explanation:-
Mean of the Poisson distribution 'λ' = 2 per minute
P(X=x) = e⁻ˣ λˣ/x!
The probability that no more than '2' customers will arrive in minute
P(x≤ 2) = P(x=0) +P(x=1)+P(x=2)
= e⁻² (2)°/0! + e⁻²(2)¹/1!+e⁻² (2)²/2!
= 1 + 0.2706 + 0.2706
= 1.5412
The probability that no more than '2' customers will arrive in minute = 1.5412
15. Seven days ago, the gas tank on Rosa's car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. a. What integer represents the change of gasoline in the past seven days? b. What is the mean change in gasoline in gallons per day? c. What is the fuel efficiency, in miles per gallon, of Rosa's car if she drove 490 miles in the past seven days?
Answer:Answer: -14 gallons. ... Given : Seven days ago, the gas tank on Roses car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. ∵ 20> 6 , it means there is decrease in the amount gasoline.
Step-by-step explanation:
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Oscar ran the 100-yard dash in 12.52 seconds. Jesiah ran the 100-yard dash in 11.58 seconds. How many seconds faster was Jesiah's time than Oscar's time?
center =
3. A diameter of a circle has endpoints P(-7,-4) and Q (3,2).
a. Find the center of the circle (hint use midpoint formula)
b. Find the radius. If your answer is not and integer, express in radical form. (hint use
distance formula)
c. Write an equation for the circle.
17
radius=
equation of the circle:
work:
< 2/3
I
>
a. The center of the circle is (-2, -1).
b. The radius of the circle is √136.
c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:
Midpoint = ((-7 + 3)/2, (-4 + 2)/2)
= (-4/2, -2/2)
= (-2, -1)
Therefore, the center of the circle is at the coordinates (-2, -1).
b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.
Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)
Using the distance formula:
Distance = √[(3 - (-7))^2 + (2 - (-4))^2]
= √\([(3 + 7)^2 + (2 + 4)^2]\)
= √\([10^2 + 6^2\)]
= √[100 + 36]
= √136
Therefore, the radius of the circle is √136.
c. The equation for a circle with center (h, k) and radius r is given by:
\((x - h)^2 + (y - k)^2 = r^2\)
In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:
\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)
\((x + 2)^2 + (y + 1)^2 = 136\)
Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
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