The mean of the data is 30 and the median of the data is 27.5.
What are the mean and median?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. The mean of the data will be calculated by adding all the numbers and dividing it by the quantity of the numbers.
The median of the data generally refers to the middle most value of the series. The median of the data is calculated by arranging the numbers in increasing order and getting the middle value of the numbers.
Given data is 26, 29, 27, 28, 29, 27, 27, 53, 25, 29 arrange all the numbers in increasing order.
25,26,27,27,27,28,29,29,29,53
Mean = Sum of all the numbers / Total numbers
Mean = (25 + 26 + 27 + 27 + 27 + 28 + 29 + 29 + 29 + 53 ) / 10
Mean = 300 / 10
Mean = 30
Median = ( 27 + 28 ) / 2 = 27.5
Therefore, the mean of the data is 30 and the median of the data is 27.5.
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A pound of rice crackers cost 42.88 jacob purchased 1/4 pound how much did he pay
So you know that a pound of rice crackers cost $42.88. You also know that Jacob bought 1/4 or 25% or 0.25 of a pound. This means that by multiplying 0.25 by $42.88, you can determine the cost.
0.25 x 42.88 = 10.72
Therefore, Jacob paid 10.72 cents or $10.72 for 1/4 pound of rice crackers
Please answer!!!! Spending 100 points on this, so you get 50 points for solving. 1st person to tell me ALL 3 of the answers gets Brainliest!
Answer:
6
Step-by-step explanation:
Julie had $237 to spend. She returned a calculator and received a $128 refund. She then bought a chair for $62. How much money in dollars and cents did Julie have to spend after buying the chair?
Answer:
$303 0cents
Step-by-step explanation:
237 + 128 -62 = 303
The amount Julie has to spend after buying the chair is $303.
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.
As per the given data:
We are given the details of the transactions that Julie did.
We have to find out the remaining amount of money that is left with Julie after the transactions.
Initial amount that Julie had to spend (A) = $237
Amount received as a refund after returning that calculator (B) = $128
Price that had to be paid to buy a chair (C) = $62
For finding out money in dollars and cents did Julie have to spend after buying the chair:
= A + B - C
= 237 + 128 - 62
= 365 - 62
= 303
The amount Julie has to spend after buying the chair is $303.
Hence, The amount Julie has to spend after buying the chair is $303.
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PLS HELP A LITTLE LOST Sally is 3 years younger than Sue. The sum of their ages is 27. How old is Sally?
Answer:
Sally is 12 years old.
Step-by-step explanation:
[tex]2x+3=27\\2x+3-3=27-3\\2x=24\\\frac{2x}{2}=\frac{24}{2}\\x=12[/tex]
B. locate and plot (square root of)15 on a number line. find a better approximation using decimals.
The number line for √15 is shown in the figure and the value of √15 is approximately 3.87298.
Number line:
Number line used for visual representation of numbers on a straight line.
Given:
Here we need to locate and plot √15 on a number line.
Steps for the construction:
Step 1) Draw a line AB that is 15 in length, and then add 1 to C so that the distance from A to C is 16.
Step 2) From the midpoint of A C on the line, use your compass and make a half circle from A to C.
Step 3) Draw a vertical line up from B until it touches the red half circle you made in Step 2.
Step 4) From B on the number line, use your compass and make a quarter circle from D to E.
The square root of 15 is the distance from B to E. To make things clearer, we have also created the illustration below showing where B, E, and the square root of 15 are located on the number line, labeled with numbers instead of the half circle, quarter circle and vertical line.
Based on the steps the number line is looks like,
Therefore, The square root of 15 (√15) is approximately 3.87298.
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Solve for the value of q. 780 (59+2)
Answer:
9222.23333 is the value good sir :)
Step-by-step explanation:
PLEASE HELP!!!!! please? :D
Answer:
9
Step-by-step explanation:
→ Substitute in the values
2³ +√64 ÷ 8
→ Simplify
8 + 8 ÷ 8
→ Calculate
8 + 1 = 9
Answer:
9
Step-by-step explanation:
2 to the power of 3 is 8
8 + 64 = 72
72 ÷ 8 = 9
A cylindrical can has a radius of 4 centimeters. Write the volume V of the can as a function of the height h.
The volume of cylinder V as a function of the height h is: V = 50.24h
In this question, we have been given the radius of the cylinder which is 4 centimeters.
We need to write the volume V of the can as a function of the height h.
We know that, the formula of volume of the cylinder of radius r and height h is, V = π × r² × h
In this question, r = 4 centimeters
Substitute r = 4 in above formula of volume of cylinder.
⇒ V = π × r² × h
⇒ V = π × 4² × h
⇒ V = 3.14 × 16 × h
⇒ V = 50.24 × h
⇒ V = 50.24h
Therefore, the volume of cylinder V as a function of the height h is:
V = 50.24h
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Which is longer: 30 yards or 30 meters?
Answer:
30 meters.
Step-by-step explanation:
Meters are larger then yards.
If M (-2, 5) is the midpoint of
CD and the coordinates of C are (4, 7), what are the coordinates of D?
Answer:
soln ,given,
midpoint of CD=M(-2,5)
let,
C(4,7)=(x1,y1)
D(x1,y2)=?
now by using midpoint formula =(x1+x2)/2+(y1+y2)/2
M(-2,5)=( 4+x2)/2+(7+y2)/2
comparing both sides
-2=(4+x2)/2
-4=4+x2
-4-4=x2
threfore,x2= -8
again
5=(7+y2)/2
10=7+y2
therefore,y2=3
thus , the coordinate of D is D(-8,3)
What is the range for the set of scores: 7, 8, 11, 15, 17, 20?
a. 20
b. 1
c. 13
d. 7
The range of the set of scores is 13.
Here,
The set of scores:
7, 8, 11, 15, 17, 20
We have to find the range of the set of scores.
What is Range of set?
The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.
Now,
The highest number = 20
The lowest number = 7
Hence, Range of the data set = 20 - 7 = 13
So, The range of the set of scores is 13.
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Prime Factorization
36=
48=
Answer:
36=3×2×2×3
48=2×2×2×2×3
Explanation:
Step 1: Divide the given number by the smallest prime number.
36/3=12. (1)
48/2=24. (2)
Step 2: Again, divide the quotient by the smallest prime number.
12/2=6. (1)
24/2=12. (2)
Step 3: Repeat the process, until the quotient becomes 1.
6/2= 3. (1)
12/2=6 (2)
3/3=1 (1)
6/2=3 (2)
3/3=1. (2)
Step 4: Finally, multiply all the prime factors.
36=3×2×2×3
48=2×2×2×2×3
Answer:
36 = 2 × 2× 3 ×3
48 = 2 × 2× 2 × 2 ×3
Step-by-step explanation:
Find the value of each variable.
2(5x − 5)°
20yº
(5y + 5)
(3x - 5)°
Answer:
The answer is 10 for your math equation
Step-by-step explanation:
The values of each variable are x = 15° and y = 7°.
Given are two lines, intersecting each other at a point to make angles,
2(5x − 5)°, 20y°, (5y + 5)° and (3x - 5)°.
We need to find the values of the variables.
The lines are intersected in such a way that the angles 2(5x − 5)°, (3x - 5)°and (5y + 5)°, 20y° are making linear pairs.
We know that the linear pair angles sum up to make 180°.
So,
2(5x − 5)° + (3x - 5)° = 180°
10x - 10 + 3x - 5 = 180°
13x - 15 = 180°
13x = 195°
x = 15°
Similarly,
(5y + 5)° + 20y° = 180°
5y + 5 + 20y = 180°
25y = 175°
y = 7°
Hence the values of each variable are x = 15° and y = 7°.
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Convert celsius to fahrenheit using the following formula f = 95c+32 c = 20 f = ?
35 degrees Celsius is equal to 95 degrees Fahrenheit.
What is the formula for Celsius to Fahrenheit?
The formula for converting from degrees Celsius to degrees Fahrenheit, which is provided by the expression F=95(C)+32, must be used. To convert the given temperature to degrees Fahrenheit, we must first divide it by five, then multiply it by nine, and then add 32.Without a calculator, how do you convert from Celsius to Fahrenheit?
Here is an easy approach you may use to convert temperatures from Celsius to Fahrenheit. multiply the temperature in degrees Celsius by 2, then add 30 to get the (estimated) temperature in degrees Fahrenheit.F = 9 / 5 * 35 + 32
F = 63 + 32
F = 95
35 degrees Celsius is equal to 95 degrees Fahrenheit.
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14) Out of the following options, pick the one that
can be expressed as a rational number.
a) 1.16321632...
b) 0.00120345...
c) 5.672101234 ...
d) 2.75757575...
i have no idea what this means
The solution set of x^2+12=21
The solution set of the equation is: x = -3, x = 3.
How to Find the Solutions to an Equation?Given the equation, x² + 12 = 21, the solution set is the possible value of x that will make the equation true. To find the values of x, do the following as shown below:
x² + 12 = 21
Subtract 21 from both sides of the equation
x² + 12 - 21 = 21 - 21
x² + 12 - 21 = 0
x² - 9 = 0
Find the difference of the two squares
(x + 3)(x - 3) = 0
x = -3
x = 3
Therefore, the solution set of the equation is: x = -3, x = 3.
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served.
2
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
52-y> -3
Drawing Tools
Select
Line
Dashed Line
Shaded Region
Click on a tool to begin drawing.
<+
-10
-8
-6
-4
-2
10-
8
6-
4-
2-
Delete
2
Undo
6
8
Reset
A
10
Answer:
It is everything that's bigger then (0,-3),
Picture under ↓
It's a bad drawing.
The solution region for the given pair of inequalities is found to be the common shaded region in the graph attached.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
For drawing the graph of any inequality, we first have to assume the inequality as an equation and draw the graph of the resulting equation. Hence, finding the points for the inequality , we let the inequality as:
Putting y=0, we get:
The point will be: (-2,0)
Now, putting x=0, we get:
The point will be: (0,4)
Now as the sign of inequality is >, the line of graph will be dotted.
Taking a test point (0,0) to find the shaded region, substituting this in the inequality,
So, the shaded region will be away from the test point.
Similarly, finding the points for the inequality , we let the inequality as:
Putting y=0, we get:
The point will be: (6,0)
Now, putting x=0, we get:
The point will be: (0,6)
Now, as the sign of inequality is of , the line of graph will be solid.
Taking a test point (0,0) to find the shaded region, substituting this in the inequality,
So, the shaded region will be towards the test point.
The resulting graph is attached after the solution.
The solution to the pair of given inequalities will be the shaded region that is common between both the individual inequality's shaded regions.
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Your revenue (in dollars) for selling x bracelets is given by f(x) = 5x and your profit is $50 less than 80% of the revenue. What is your profit for 77 sales?
From the calculation carried out below, it can be observed that the profit for 77 sales is $258.
How do we calculate profit for sales?Given revenue as:
f(x) = 5x ............................ (1)
Where:
x = Number of bracelets sold or sales = 77
Total obtain the revenue, substitute x = 77 into equation (1), we have:
Revenue = f(77) = 5 * 77
Revenue = $385
Since profit is $50 less than 80% of the revenue, we have:
Profit = (Revenue * 80%) - 50
Profit = (385 * 80%) - 50
Profit = 308 - 50
Profit = $258
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A truck enters a highway driving 60 mph. A car enter the highway at the same place 14 minutes later and drives 67 mph in the same direction . From the time the car enters the highway, how long will it take the car to pass the truck
Time taken by car to pass the truck in the same direction from the time the car enters the highway is approximately12.54 minutes with a truck speed 60mph and a car 67mph.
As given in the question,
Speed of a truck=60mph
⇒60 minutes = 60miles
⇒14 minutes = (60/60)×14
= 14 miles
Car speed =67mph
67 miles=60minutes
⇒1miles = (60/67) minutes
⇒14miles = (60/67)×14
≈12.54 minutes (approximately)
Therefore, time taken by car to pass the truck in the same direction from the time the car enters the highway is approximately12.54 minutes with a truck speed 60mph and a car 67mph.
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using ratios.
1. The ratio of male employees to
female employees is 1:3. If
there are 144 female
employees in total, how many
males are there?
Answer:
48
Step-by-step explanation:
set up a proportion of 1/3 and x/144 and then divide 144 by 3 which is 48
[tex]\stackrel{\textit{ratio of 1~:~3}}{\cfrac{males}{females}~~ = ~~\cfrac{1}{3}}\implies \cfrac{males}{144}~~ = ~~\cfrac{1}{3}\implies 3males=144 \\\\\\ males=\cfrac{144}{3}\implies males=48[/tex]
Aunt Anne has a container of 24 cookies. The container has 2 oatmeal raisin cookies, and the rest are chocolate chip cookies. If Cyrus reaches in and takes a cookie without looking, is the probability of choosing a chocolate chip cookie impossible, unlikely, likely, or certain? Express the probability as a number between 0 and 1.
Answer:
Likely
11/12 aka 0.916666666667 aka 91.67%
Step-by-step explanation:
24 - 2 = 22
22/24
11/12
Likely means more than 50% but not 100% in this case.
What is the appropriate measure of variation (spread) for these data points? 47234213985132324365 what are q1 and q3 for these data?
The Interquartile Range (IQR) is the appropriate measure of variation for the given data points. Q1 and Q3 are 2 and 5 respectively.
The IQR is a method that gives the value of data at the 25th and 75th percentile. Alternatively, it gives the average of the two values which are nearest to these two percentiles, in case a single value does not exist. These values are called Q1 and Q3.
Because these values are less impacted by outliers than the standard deviation, it is best to use them with skewed data.
For the given data points, Q1 and Q3 are 2 and 5 respectively. Q1 is the average of 5th and 6th values. Q3 is the average of 15th and 16th values.
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The Interquartile Range (IQR) is the appropriate measure of variation for the given data points. Q1 and Q3 are 2 and 5 respectively.
The IQR is a method that gives the value of data at the 25th and 75th percentile. Alternatively, it gives the average of the two values which are nearest to these two percentiles, in case a single value does not exist. These values are called Q1 and Q3.
Because these values are less impacted by outliers than the standard deviation, it is best to use them with skewed data.
For the given data points, Q1 and Q3 are 2 and 5 respectively. Q1 is the average of 5th and 6th values. Q3 is the average of 15th and 16th values.
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Evaluate the function.
f(x) = -x² + 7x
Find f(-1)
Answer: f(-1)=-8
Step-by-step explanation:
f(x) = -x² + 7x
f(-1)=-(-1)²+7(-1)
f(-1)=-1-7
f(-1)=-8
Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure
of one of the angles formed is 72°, what are the measures of the other three angles? Explain
The other angle opposite the given 72° angle is also 72°. This is because vertical angles are congruent.
The other two opposite angles are 180-72 = 108° each
See the diagram below. Notice how all four angles add to 360 degrees. Any adjacent pair of angles add to a straight line of 180 degrees.
A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mode?
Answer:
56
Step-by-step explanation:
The mode of a data set is the number that appears the most, which in this situation would be 56
:D
Using your ruler to measure, draw segment EF so that it bisects RS shown below. Mark their intersection
as point A. Mark all relevant measures to justify your answer.
Using the segment addition postulate and the bisection concept, the segment EF bisecting RS is given at the end of the answer.
What is the segment addition postulate?The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.
From this, the bisection concept is derived, which is when a line crosses a segment exactly at the segment's midpoint, meaning that point A is the midpoint of RS.
The illustration of this situation is given at the end of the answer.
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Find angle X.
I am not sure if it should add up to 360 degrees or 180 degrees
Answer:
195
Step-by-step explanation:
Since this figure is a quadrilateral you would be subtracting the inner angles from 360
360-87-40-38=195
Fill in the blank if sin=3/5, then cos=
Answer:
cos = 4/5
Step-by-step explanation:
having sides 3 and 5, means that this is a right triangle with sides 3,4, and 5
cos = adjacent side/ hypotenuse
sin= opposite side/ hypotenuse
since 5 is the biggest number it will be the hypotenuse since that is the longest side, so it will stay on the bottom.
hope this helps! if you have any more questions just ask
Graph The Lines (Algebra 1)
Answer:
See the picture below
Step-by-step explanation:
Your equations are in the slope-intercept form of a line. The equations are make up of a slope and a y-intercept.
y = mx + b The m is the slope (the steepness of the line) and b is the y-intercept. This is where the line crosses the y axis.
I would start with the y intercept. Look at the first equation
y = x -8 The -8 tells us that this graph crosses the y axis at (0,-8) From that point, we will use the slope. The slope is the number before the x. If we do not see a number than it is 1. We want to make this a fraction. What is 1 as a fraction? 1/1 This means that from -8 where the graph crosses the y axis we will follow the pattern of up one, one to the right.
Let's look at the second graph
y = -x + 5. This tells us that we cross the y axis at (0,5). Our slope is -1. What is -1 as a fraction? -1/1. This means that we will move down 1 and right one. We will follow that pattern.
Let's look at the third graph
y = 3/4x - 1 We cross the y axis at (0,-1) From that point we move up 3 and right 4.
y = 3 means that no matter what x is, y will be -3. This creates a horizontal line.
x = -4 means that not matter what y is, x will be -4. This creates a vertical line.
Identify the domain and range of
the relation.
domain:
range :
Answer: domain is x and range is y
Step-by-step explanation:
Answer:
Domain: {2, 8, 30, 46}
Range: {-1, 9, 16}
Step-by-step explanation:
The domain of a function y = f(x) is the set of all values that the input values (x) that the function can accept. The range of a function is the set of all output values that the function can produce from the domain values ie the set of all values
Looking at the figure, the set of all x values that the function y can take are
{2, 8, 30, 46} and this is the domain
The output values produced from this domain are {-1, 9, 16} and that is the range