The stem-and-leaf plot displays the amount of time, in minutes, that 10 players spent practicing their serving skills for an upcoming tennis tournament.
1| 2, 2, 9
2| 0, 2, 6
3| 1, 1
4| 0
5|
6| 8
Key: 3|1
means 31
Part A: Calculate the mean, median, mode, and range for the data given. Show your work.
Part B: Should the tennis players report the mean or median value to show they are less prepared for the tournament? Explain based on the scenario.
Answers
Part(A),
The value of the mean is 27.1, the value of the mode is 12 and median is 27.5.
Part(B),
Tennis players should report the median value to show they are less prepared for the tournament.
Part A:
To calculate the mean, we need to find the sum of all the data values and divide by the total number of values:
Sum of the data = 12 + 12 + 29 + 20 + 22 + 26 + 31 + 31 + 40 + 68 = 271
Number of data values = 10
Mean = sum of the data/number of data values
Mean = 271 / 10
Mean = 27.1
Therefore, the mean time spent practicing is 27.1 minutes.
To find the median, we need to arrange the data in order from smallest to largest:
12, 12, 20, 22, 26, 29, 31, 31, 40, 68
There are 10 data values, so the median is the average of the two middle values:
Median = (26 + 29) / 2
Median = 27.5
Therefore, the median time spent practicing is 27.5 minutes.
To find the mode, we need to identify the data value that occurs most frequently. In this case, there are two modes:
Mode = 12 and 31
Therefore, the modes for the time spent practicing are 12 and 31 minutes.
To find the range, we need to subtract the smallest data value from the largest data value:
Range = largest data value - smallest data value
Range = 68 - 12
Range = 56
Therefore, the range of time spent practicing is 56 minutes.
Part B:
Based on the scenario, it is more appropriate for the tennis players to report the median value to show they are less prepared for the tournament. This is because there is one outlier value of 68, which is much larger than the other data values.
The mean is affected by outliers and may not represent the typical amount of time spent practicing for the tournament. On the other hand, the median is not affected by outliers and represents the middle value of the data set, which is a more accurate measure of the typical amount of time spent practicing.
Therefore, tennis players should report the median value to show they are less prepared for the tournament.
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Related Questions
To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
Answers
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answers
Answer:
Step-by-step explanation:
The table represents a linear relationship
X—2 0 4
Y-4 3 1
Which equation represents the table
Y=1/2x+5
y=-1/2x+3
Y=2x-3
Y=-4x+2
Answers
The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.
To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.
Given the table:
X: 2 0 4
Y: -4 3 1
We can plot these points on a graph and see that they form a straight line.
Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.
Based on the given options, we can now evaluate each equation to see which one represents the line:
Y = 1/2x + 5
When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.
Y = -1/2x + 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.
Y = 2x - 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.
Y = -4x + 2
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.
In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.
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ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
90 Pounds =
40,823.313 Grams
Step-by-step explanation:
Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types
of butterflies are shown below. What is the average number of Variegated Fritillaries for all three samples?
A. 55 B.83 C.106 D.165
Answers
Answer:
A). 55
Step-by-step explanation:
Number of Variegated Fritillaries for each year is
2009 = 7
2010= 95
2011= 63
The sum total of the samples= 7+95+63
The sum total of the samples= 165
Number of years= 3
The average= total/number of years
The average= 165/3
The average= 55
Answer: A
Step-by-step explanation: I have a massive brain (•-*•)
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Answers
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Which shows two triangles that are congruent by AAS
Answers
Answer:
answer A is the correct option.
Step-by-step explanation:
The triangles ( A ) are congruent by AAS theorem
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔABD
Now , AB is the common side of both the triangles
And , measure of ∠ACB = measure of ∠ADB
And , the measure of ∠ABC = measure of ∠ABD = 90°
So , Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent
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20% of Aussies have blue eyes. If 4 Aussies in a play group have blue eyes, how many Aussies are in the group?
Answers
Answer:
20
Step-by-step explanation:
Step 1: 4 = 20% × Y
Step 2: 4 = 20/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:
Step 3: Y = 4 × 100/20
Step 4:Y = 4 × 100 ÷ 20
Step 5: Y = 20
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
20% = 4
100% = 20
The total number of people in the group is 100 people.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
We have,
Number of Aussies with blue eyes = 4
Percentage of blue eyes in the Aussies = 20%
This can be written as:
20% = 4
Now,
The percentage of the total number of people in the group = 100%
So,
20% = 4
Multiplying 5 on both sides.
5 x 20% = 5 x 4
100% = 20
This means,
The total number of people in the group is 100.
Thus,
The total number of people in the group is 100 people.
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Rectangle ABCD is translated to produce image EFGH. Which statement is
true?
Answers
Therefore, the correct statement is:" D corresponds to E." that is option B.
What is rectangle?A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.
Here,
In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).
To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.
A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.
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12. Abby bought one package of cookies that weighed 24 ounces and another package that weighed 1 pound 8 ounces. How many pounds is the combined weight of their cookies?
PLEASE DUE TOMORROW!!!
Answers
Answer:
3 pounds
Step-by-step explanation:
for this we need to understand the relation between pounds and ounces
the relation is for every pound there is 16 ounces, with this we can then use this info to solve the problem as shown
24oz + 1bl 8oz
reduce all units to the same level of measurement
24oz + 1bl 8oz
24oz + (16oz + 8oz)
then add like terms
24oz + (16oz + 8oz)
24oz + 24oz
and again...
24oz + 24oz
48oz
now all we do is divide the new total by 16 to get the poundage
48oz / 16
3bl
so the answer is 3 pounds
ill attach a pic of a kitchen measurements conversion chart for you to use in all your schooling ^^ hope this helps
NOTE: for pounds, ounces, milligrams etc.. you will look in the DRY MEASUREMENTS section
If two angles are complementary then the sum of their measures is _______.
(Answer with a number ONLY)
Answers
If the two angles are complementary, then their sum is 90 degrees.
The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
If the two angles are complementary, then their sum is 90 degrees.
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suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 ? round your answer to one decimal place.
Answers
Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.
What is standard deviation?Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.
Here,
Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:
$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean
$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean
Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).
Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:
=1 - 1/2²
= 1 - 1/4
= 0.75
This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.
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The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop?
Answers
Answer:
approximately 28.26 square feet
Step-by-step explanation:
The formula for the area of a circle is A = pi(r)^2. So, the radius is half of the diameter, meaning it's 3 feet. Then we square it to get 9, and multiply by pi, or 3.14. This leads us to the approximated answer of 28.26 square feet.
The area is:
28.27 square feet
Work/explanation:
Since the tabletop is circular, we use the formula for a circle's area, which is: \(\bf{A=\pi r^2}\).
We have the diameter, and to find the radius, we divide the diameter by 2, which gives us 6 ÷ 2 = 3 feet, so the radius of the tabletop is 3 feet.
Now, here's a diagram for you;
\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 3\ ft}\end{picture}\)
Plug in the data:
\(\sf{A=\pi\times3^2}\)
\(\sf{A=\pi\times9}\)
\(\sf{A=28.27\:ft^2}\)
Hence, the area is 28.27 square feet.You have a Visa credit card account with a 26.49% annual percentage rate calculated on the average daily balance. The billing date is the first day of each month, and the billing cycle is the number of days in that month. Your credit card balance on April 1 was $552. On April 10th you made a $119 purchase. You made another purchase, a $25 gift card, on April 24th. You made a $150 payment on April 29th
Answers
To calculate the interest charged on a credit card account, we need to consider the average daily balance and the annual percentage rate (APR). Let's break down the calculations step by step for the given scenario.
1. April 1: Starting balance of $552.
2. April 10: Made a $119 purchase. The balance is now $552 + $119 = $671.
3. April 24: Made a $25 gift card purchase. The balance is now $671 + $25 = $696.
4. April 29: Made a $150 payment. The balance is reduced to $696 - $150 = $546.
Now, let's calculate the average daily balance for the billing cycle in April. The billing cycle can vary depending on the number of days in the month. Assuming April has 30 days, we calculate the average daily balance as follows:
Average Daily Balance = (Total balance for the month) / (Number of days in the month)
Total balance = Starting balance + Purchases - Payments = $552 + $119 + $25 - $150 = $546.
Number of days = 30 (April has 30 days).
Average Daily Balance = $546 / 30 = $18.20.
Now, we can calculate the interest charged for the billing cycle. The APR is 26.49%, which needs to be converted to a daily rate by dividing it by the number of days in a year (365):
Daily Interest Rate = (APR / 365) = (26.49% / 365) = 0.0725%.
Interest Charged = (Average Daily Balance) * (Daily Interest Rate) * (Number of days in the billing cycle)
Interest Charged = $18.20 * (0.000725) * 30 = $0.3969.
Therefore, the interest charged on the credit card account for the April billing cycle is approximately $0.40.
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What is 6/25 as a percent
Answers
Answer:
24% yes yes yes
Answer:
24% or \(\frac{6}{25}\)=24%
Step-by-step explanation:
We know that
\(\frac{6}{25}\)
Is the same as
6÷25
Then, using long division gives us
0.24
Lastly, multiplying 0.24 by 100 gives us
24
Now add the percent sign
24%
please help me with this math
Answers
Answer:
The rate of decay is 12% or .12
Step-by-step explanation:
Mrs. Thompson wants to buy centerpieces to use at a party. It will cost $49 to have the centerpieces delivered plus $0.89 per centerpiece.
Part A
Let c be the number of centerpieces that Mrs. Thompson purchases. Choose the expression that shows the amount of money she will pay altogether for each centerpiece.
49c + 0.89
0.89 + c + 49
c(0.89 + 49)
49 + 0.89c
Part B
Evaluate the expression to find out how much Mrs. Thompson will pay if she orders 400 centerpieces.
Enter your answer in the box.
Answers
Answer:
a. 49 + 0.89c
b. $400
Step-by-step explanation:
Given
Delivery = $49
Cost per Centrepiece = $0.89
Solving (a): Expression that represents the equation.
From the question, we have that the number of centrepiece is represented by c
The expression can be gotten by the following formula.
Cost of Delivery + Cost per centrepiece * Number of centrepieces
This gives
49 + 0.89 * c
49 + 0.89c
Hence, the expression that represents the scenario is 49 + 0.89c
Solving (b): Payment for 400 centrepieces
To solve this, we simply substitute 400 for c in the expression in (a)
This gives:
Payment = 49 + 0.89 * 400
Payment = 49 + 356
Payment = 405
Hence, Mrs. Thompson will pay $405 for 400 centerpieces
Show working of problem!!
Solve
3a= 18
Answers
Answer:
a = 6
Step-by-step explanation:
You find out what 18 divided by 3 is, which is 6. Therefore a=6
d(1)=2
d(n)=d(n−1)⋅(−2)^n
What is the third term in the sequence?
Answers
Answer:
- 16
Step-by-step explanation:
The way this is given, you have to find the second term before you can fine the third.
a2 = d(n - 1) * (-2)^2
a2 = 2 * (-2)^2
a2 = 2 * 4
a2 = 8
a3 = d(3 - 1) * (-2)^3
a3 = 2 * (-2)^3
a3 = 2 * - 8
a3 = - 16
10 workers can finish the job in 15 days. For the first 5 days, only 6 workers worked on the job. Then for the next 3 days 2 more workers joined them. To finish the job, 4 more workers joined
them. After how many days was the whole job done?
A. 8days
B. 12days
C. 16days
D. 18days
Answers
Answer:
C. 16 days
Step-by-step explanation:
Let´s say each worker does 1 ¨work¨, for each day, in order to complete the job in 15 days. That´s a total of 150 work.
If only 6 workers worked for the first 5 days, then we only do 30 by Day 5.
2 more workers join, so they do 8 work each day, 24 work in 3 days, 54 work by Day 8.
4 more workers join to complete the job, so we now do 12 work each day.
150 - 54 = 96
96 work is left to do, which would be done in 8 days by 12 workers.
8 days + 8 days = 16 days
please thank you mwaaaaaaaaaaaaa
Answers
The exact perimeter of the segment is 54.13 inches, and the exact area of the segment is 301.44 square inches.
What is perimeter and area enclosed in circle?
A circle is also defined by two properties: area and perimeter. The formulas for both the measures of the circle are given by; Area of a circle = πr². The perimeter of a circle = 2πr.
Let's call the center of the circle O and the endpoint of the arc A. Let's also call the endpoint of the chord that defines the segment B. Then we have an isosceles triangle OAB, where OA = OB = 24 inches.
1) The perimeter of the segment is equal to the length of the arc plus the length of the chord. To find the length of the arc, we can use the formula:
Arc length = (Ф / 360) * 2πr,
where Ф is the measure of the angle in degrees, r is the radius (which is 24 inches in this case), and π is pi.
In this case, the measure of the angle is 60°, so the length of the arc is:
Arc length = (60 / 360) * 2π * 24 inches
Arc length = (1/6) * 2π * 24 inches
Arc length = 4π inches
To find the length of the chord, we can use the formula:
Chord length = 2r * sin(Ф/2), where r is the radius and Ф is the measure of the angle in radians.
First, we need to convert the angle measure from degrees to radians:
60° = 60 * (π / 180) radians = π / 3 radians
Now, we can find the length of the chord:
Chord length = 2 * 24 * sin(π / 6)
Chord length = 24 * 2 * sin(π / 6)
Chord length = 24 * √3 inches
Finally, we can add the length of the arc and the chord to find the perimeter:
Perimeter = 4π + 24 * √3
Perimeter = 4π+41.57
Perimeter = 54.13 inches
2) To find the area of the segment, we can use the formula:
Area = (Ф/ 360) * πr², where Ф is the measure of the angle in degrees and r is the radius.
In this case, the measure of the angle is 60°, so the area of the segment is:
Area = (60 / 360) * π * 24² square inches
Area = (1/6) * π * 576 square inches
Area = 96π square inches
Area = 301.44 square inches
So, The exact perimeter of the segment is 54.13 inches, and the exact area of the segment is301.44 square inches.
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Bottoms Up Diaper Service is considering the purchase of a new industrial washer. It can purchase the washer for $7,200 and sell its old washer for $2,500. The new washer will last for 6 years and save $1,700 a year in expenses. The opportunity cost of capital is 15%, and the firm’s tax rate is 21%.
Answers
Answer:
ysfsfdf
Step-by-step explanation:
frfrfrfrb
it takes 7/4 yd of a ribbon to make a hair bow. how much ribbon is needed to make 9 bows
Answers
Answer:
15.75yd
Step-by-step explanation:
7/4 is 1.75
1.75x9 is 15.75
Determine the area of the given region.
Answers
\(\displaystyle \int_{0}^{\frac{\pi }{3}}~\sin(x)dx\implies \left.\cfrac{}{} -\cos(x)\right]_{0}^{\frac{\pi }{3}}\implies\left( -\cfrac{1}{2}\right) ~~ - ~~(-1)\implies \cfrac{1}{2}\)
Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
Answers
A minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows and columns.
E.g the minor for a_11 is the matrix
1 1 3
1 1 0
0 -1 -2
The cofactor of an element is the minor but a factor, with that factor being (-1)^(i+j) where i and j are the row and column of the element
Zinnia and Ruby earn $58 per week for delivering pizzas. Zinnia worked for x weeks and earned an additional total bonus of $13. Ruby worked for y weeks. Which expression shows the total money, in dollars, that Zinnia and Ruby earned for delivering pizzas?
Answers
The following equations are set up for each person
Zinnia: 58x+13
Ruby: 58y
If you need the total of both the equation is:
58x+13+58y
Hopefully this helped :) Have a great day
Answer:
I believe your answer is D, 58x+13+58y.
Step-by-step explanation:
The daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At a price of $2.20 per cone, the demand is 30 cones. Use linear interpolation to estimate the demand at a price of $1.50 per cone.
Answers
Answer:
The demand at a price of $1.50 per cone is 44 conesStep-by-step explanation:
let us apply the interpolation formula to solve this problem
we have
\(\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}\)
Now let us set the values to the notation above
x= $1.20
x1= $2.20
x2= $1.50
y = 50 cones
y1= 30 cones
y2= ?
\(y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1\)
Substituting our given data we have
\(y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2= \frac{20}{-1} (-0.7)+30\\\\y2= (20*0.7)+30\\y2= 14+30\\y2= 44\)
the demand at a price of $1.50 per cone is 44 cones
Suppose that the function g is defined, for all real numbers, as follows. Find g(-5) ,g (-2), and g(-1)
Answers
If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.
A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :
g(x) = {-(1/2)x + 1, for x<-2
= {-(x+1)², for -2≤x≤1
= {4 for x>1
We have to find the value of g(-5) ,g (-2), and g(-1),
For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,
⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,
For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function
"-(x+1)²" will be used,
⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,
For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,
⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,
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What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
Answers
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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The cost of dress in a shop is 320.00 for more than more than the cast: If a customer of a pair of pays 305.00 for the turo items. How much does each cost.
Answers
The price of each of these be
A dress market at Rs.120 is 96A pair of shoes market at Rs.750 is 600A bag market at Rs.250 is 200.What is discount?The discount is determined by dividing the purchase price by the item's par value. Discount is a type of cost price reduction or deduction for a product. It is primarily employed in consumer interactions when discounts on various goods are offered to customers. A percentage represents the discount rate. (Discount List Price) 100 is the formula used to determine the rate of discount. The discount is the amount that is subtracted from the selling price in the formula. [(List price - Selling price)/List price] 100 is an additional formula for computing discount percentages.The simplest definition of a price is the sum of money exchanged by a buyer and seller for a good or service.A. Price \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)
B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)
C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)
The complete question is.
A shop gives 20% discount. What would the price of each of these be?
A dress market at Rs.120
A pair of shoes market at Rs.750
A bag market at Rs.250
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