Answer:
median= 26
28+24= 52 divided by 2 = 26
Answer:
20
Step-by-step explanation:
Okay so this is a box plot. You will see 5 different numbers/values. On this one it is on 8, 12, 20, 24, and 44. The first number, (farthest to the left) is the minimum number. (out of all of the values). The next one (12), is the lower quartile. The lower quartile is half of half. so the first 25 percent of them. So put all of the numbers in order and then choose half, then half of that. That will be your number. The only exception is if 2 numbers are halfway, then you will do a number exactly between those two numbers. The middle line is the median, which will be your answer in this case. The next one, (24) is the upper quartile, which is the same as the lower quartile, but the upper half instead of the lower half. The last number (44) is the maximum. Hope this helps!
find the value of each of the lettered angles in the diagram below
Answer:
Step-by-step explanation:
Remark
You have an isosceles triangle. That means that the angles opposite the marked sides are equal. So mark the angle on the lower left of the triangle as 50 degrees.
The solution to problem depends on the fact that the sum of the two inside angles of the triangle (each of which is marked as 50 degrees) not supplementary to the exterior angle, are still equal to the exterior angle.
Givens
<1 = 50 degrees
<2 = 50 degrees
Exterior angle = 15x + 25 Substitute the givens into the equation
Equation
<1 + <2 = 15x + 25
Solution
50 + 50 = 15x + 25 Combine the left side
100 = 15x + 25 Subtract 25 from both sides
100 - 25 = 15x + 25 - 25 Combine
75 = 15x Divide both sides by 15
75/15 = 15x/15
5 = x
Answer
<1 = 50 degrees
<2 = 50 degrees
15x + 25 = 75 + 25 = 100
Set up a proportion and solve round to the nearest tenth. 45 is what percent of 80?
Answer:
the answer: 56.25 percent of 80
1) Dalton has $3.05 in dimes and quarters. He has 13 more dimes than quarters. How many quarters does he have?
The number of quarters that Dalton has is given as follows:
5.
How to obtain the amounts?The amounts are obtained by a system of equations, for which the variables are given as follows:
Variable x: number of dimes.Variable y: number of quarters.The values of each coin are given as follows:
Dime: $0.1.Quarter: $0.25.Dalton has a total of $3.05 in dimes and quarters, hence:
0.1x + 0.25y = 3.05.
He has 13 more dimes than quarters, hence:
x = 13 + y.
Replacing x = 13 + y on the first equation, the number of quarters is given as follows:
0.1(13 + y) + 0.25y = 3.05.
0.35y = 1.75
y = 1.75/0.35
y = 5.
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Decide if each statement below is true or false. "Explain how you know". please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :(
a. -19+7=-7+19
b. 4/5 · 1=4/5
c. 3/2 ·2/3=1
d. 5·7-5 · 1/5=34
Therefore , the solution of the given problem of expression comes out to be the multiplication is done first using the sequence of operations: 57=35 and 51/5=1. 35 is then reduced by 1 to yield 34.
Define expression.Mathematical processes such as multiplying, dividing, adding, and even deleting are necessary. If they were combined, the following statement would result: An equation, some statistics, and a mathematical formula Values, components, and mathematical processes like additions, subtractions, algebraic expressions, and divisions make up a statement of truth. Words and sentences can be analysed and ranked.
Here,
a. Accurate. The commutative property of addition says that the sum remains constant regardless of the addends' order. As a result, -19+7 is equivalent to 7-19, which is equivalent to -12+19.
b. True. Any integer is itself when multiplied by 1. As a result, 4/5 + 1 equals 4/5.
c. Accurate. One is obtained by multiplying two reciprocals. As a result, 3/2 2/3 equals 32 23, which is reduced to 1.
d. Correct. The multiplication is done first using the sequence of operations: 57=35 and 51/5=1. 35 is then reduced by 1 to yield 34.
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen, and King only)?
A. 1/13
B. 1/4
C. 9/52
D. 3/13
Answer:
D, 3/13 simplified from 12/52
Step-by-step explanation:
the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !
BE SAFE !!!! HOPE THIS HELPS!!!!
<3 <3 <3 <3 <3
The probability that the card drawn is a face card is 3/13.
Option D is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
There are 3 face cards.
Number of jack = 4
Number of queen = 4
Number of king = 4
Total number of cards = 52
The probability that the card drawn is Jack.
= 4/52
The probability that the card drawn is Queen.
= 4/52
The probability that the card drawn is King.
= 4/52
The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52
= 3 x 4/52
= 3 x 1/13
= 3/13
Thus,
The probability that the card drawn is a face card is 3/13.
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Consider the following table: Female Male Total Republican 105 115 220 Democrat 150 103 253 Independent 150 179 329 Total 405 397 802 What is the probability a voter is either female or Democrat?
The probability that a voter is either female or Democrat is 0.64 or 64%.
To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.
From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.
To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).
So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.
Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.
Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.
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Write in the form ( x + p ) ^2 + q x^ 2 − 10 x
Answer:
(x - 5)² - 25
Step-by-step explanation:
using the method of completing the square
x² - 10x
add/subtract ( half the coefficient of the x- term )² to x² - 10x
x² + 2(- 5)x + 25 - 25
= (x - 5)² - 25
An employee earns $
20.25
per hour after receiving a
8
% raise. What was the employee's hourly pay before raise? Round your answer to the nearest cent.
The employee's pre-raise salary was $ ____
The employee's pre-raise salary was $18.75
What was the employee's hourly pay before raise?The given parameters are
New hourly pay = $20.25
Raise = 8%
The new hourly pay of the employee is calculated using
New hourly pay = Pre-raise salary * (1 + raise)
This gives
20.25 = Pre-raise salary * (1 + 8%)
Divide both sides by 1 + 8%
Pre-raise salary = 18.75
Hence, the employee's pre-raise salary was $18.75
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______ as a type of sales promotion is beneficial because they can encourage consumers to try out a product at reduced risk, but they can be detrimental because they reduce perception of value for the product or service.
Free samples or product trials as a type of sales promotion can be both beneficial and detrimental. They encourage consumers to try a product at reduced risk, but they can also reduce the perception of value for the product or service.
Offering free samples or product trials is a common sales promotion strategy to attract customers and encourage them to try a product or service. This approach has several benefits. Firstly, it lowers the perceived risk for consumers as they can experience the product without making a financial commitment upfront. This can be especially effective for new or unfamiliar products, as it allows potential customers to test the product's quality and functionality.
However, there can be drawbacks to this sales promotion technique. Providing free samples or trials can create the perception that the product or service has less value or is of lower quality. Consumers may develop a mindset of expecting free or discounted offerings, and it can undermine the willingness to pay the full price in the future. Additionally, if the free samples or trials are not managed effectively, it may attract individuals who are not genuinely interested in the product, leading to wastage of resources and potentially diluting the brand image.
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What is the estimated sum of 10 17/20+8 6/29
A.19
B.19 1/2
C.20
D.20 1/2
The estimated sum of \(10\frac{17}{20}\)+\(8\frac{6}{29}\) is 19.
What is Addition?Addition is a way of combining things and counting them together as one large group. Addition in math is a process of combining two or more numbers.
The given expression is \(10\frac{17}{20}\)+\(8\frac{6}{29}\)
These are in the form of mixed fractions.
We have to convert them to improper fraction
\(10\frac{17}{20}\) =217/20
\(8\frac{6}{29}\)=238/29
So 217/20+238/29
6293+4760/580
11053/580
19.056
It is approximately 19.
Hence the estimated sum of \(10\frac{17}{20}\)+\(8\frac{6}{29}\) is 19.
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3. Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid’s weight, Pythagoras’s weight would still be pound less than he did in January. What is Euclid’s weight?
(a) Write an equation that represents the scenario. Begin by defining your variable.
(b) Solve the equation. Show your work.
(c) What is Euclid’s weight?
(d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined weight of the three dogs is 60 1/2 pounds. What is Riemann’s weight, and what is Pythagoras’s weight? Show your work.
The equation that represents the scenario is P + 1.2x + 0.25 = y. Euclid's weight is 10.625 pounds, and Riemann's weight is 21.25 pounds.
(a) Let us assume that the current weight of Euclid is x and the current weight of Pythagoras is P. Let us also assume that the weight of Pythagoras in January is y. The expression that represents the given scenario will be written as;
when Pythagoras lost 13 pounds in 5 months : P = y - 13
when Pythagoras gains 1.2 times Euclid's weight: = P + 1.2x
when Pythagoras' weight is 1/4 pound less than their weight in January:
(b) Solving the given equation,
P + 1.2x + 0.25 = y
y- 13 + 1.2x + 0.25 = y
1.2x - 12.75 = 0
(c) Euclid's weight is calculated as follows;
1.2x = 12.75
x = 12.75/1.2
x = 10.625 pounds
(d) The weight of Riemann is calculated as follows;
2(Euclid's weight)
2(10.625)
21.25 pounds
weight of Pythagoras = 60.5-(21.25 + 10.62)
= 28.7
The weight of Pythagoras is 28.7 pounds.
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The complete question is "Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid's weight, Pythagoras's weight would still be 1/4 pound less than he did in January. What is Euclid's weight? (a) Write an equation that represents the scenario. Begin by defining your variable (b) Solve the equation. Show your work. (c) What is Euclid's weight? (d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined 60.5 pounds. What is Riemann's weight, and what is Pythagoras's weight? weight of the three dogs is Show your work."
Kai wants to buy a new surfboard. He earns $12.50 each time he mows a lawn. He keeps track of the total amount of money that he has, y, with the equation y-12.5x+30
. The x represents the number of lawns that Kai mows. What does the y-intercept represent in this equation?
A
The cost of the surfboard
B
The number of lawns that Kai mows
C
The total money that Kai will make
D
The money that Kai started with before he mowed any lawns
Answer:
D. The money that Kai started with before he mowed any lawns.
Step-by-step explanation:
We Know
The equation is y = mx + b
The x represents the number of lawns that Kai mows.
What does the y-intercept represent in this equation?
The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.
Answer:
The Answer is D
Step-by-step explanation:
Narcissism is the tendency to view one’s own culture or group as superior to others.
Please select the best answer from the choices provided
T
F
Answer:
False, that would be racism/prejudice.
suppose the linear production function for a firm is given by:q = f(k,l,) = 3k 2l.if the firm employs 3 machines and 5 workers, output is equal to
Answer:
Step-by-step explanation:
Q = F(K,L) = 3K+2L.
x • 1 + x/1=? ,,,,,,,,,,,,,,,,,,,,,
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
\( \large \sf \: x \cdot 1 + \frac { x } { 1 } = ? \\ \)
\( \huge \boxed{\mathfrak{Answer} \downarrow}\)
\( \large \sf \: x \cdot 1 + \frac { x } { 1 } \\ \)
Anything divided by one results in itself.
\( \large \sf \: x\times 1+x \)
Combine x × 1 and x to get 2x.
\( = \large \boxed{ \bf \: 2x}\)
The correct answer is 2x.A cell phone company expects that every 2 out of 25 cell phones will have some form of defect. At this rate, how many cell phones out of 500 will be expected to have a defect?
Answer:
40 phones
Step-by-step explanation:
The company expects that every 2 out of 25 phones will have some form of defect.
In percentage terms, this is:= 2 / 25 * 100%= 8%If there are 500 phones therefore,
the defected phones would still be the same percentage and the actual number would be:= 8 % * 500= 40 phones
Find the minimum value of
C = x + 3y
subject to the following constraints:
(9x + 2y = 35
x + 3y = 14
X20
y 20
C = [?]
Answer:
Step-by-step explanation:
The minimum value of C is 23, which can be achieved when x = 2 and y = 4. This satisfies both of the given constraints and falls within the specified range for x and y.
Determine whether the series is convergent or divergent. infinity Σ n=1 |(0.5)^n-1-(0.2)^n n=1 O convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
The series is convergent and its sum is -0.6.
How to determine whether the series is convergent or divergent?The given series can be written as:
Σ n=1 |(0.5)^n-1-(0.2)^n|
Using the formula for the sum of an infinite geometric series, we can write each term of the series as:
|(0.5)^n-1-(0.2)^n| = |(0.5)^(n-1) - (0.2)^n| = (0.5)^(n-1) - (0.2)^n
We can now write the series in a simpler form as:
Σ n=1 ((0.5)^(n-1) - (0.2)^n)
Next, we need to determine whether this series is convergent or divergent. To do this, we can use the ratio test. The ratio of consecutive terms is:
((0.5)^n-1 - (0.2)^n)/((0.5)^(n-1) - (0.2)^(n-1)) = (0.5 - (0.2)^n/(0.5))
As n approaches infinity, the second term in the numerator approaches zero and the ratio approaches 1/2. Since the ratio is less than 1, the series is convergent.
To find the sum of the series, we can use the formula for the sum of a geometric series:
a/(1-r)
where a is the first term and r is the common ratio. Here, a = 0.3 and r 0.5.
The sum of the series is thus:
0.3/(1-0.5) = 0.6
However, since the original series was expressed in absolute value, we need to take the negative of this sum to get the final answer:
-0.6
Therefore, the series is convergent and its sum is -0.6.
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Select the solutions of the original equation?
Explanation is\(^{}\) in a file
bit.\(^{}\)ly/3gVQKw3
The local craft fair charges the vendors a flat rate of $15 plus $10 for each hour that they splend at the fair. If the vendor owed $65, how many hours did he remain at the craft fair?
Answer:
5 hours
Step-by-step explanation:
$65 - $15 = $50
$50/$10 = 5
Test Prep Marcus owes his mother $10. He babysits his little sister and earns $25. Then he cleans the garage and earns $32. After he pays his mother, how much money does Marcus have?
Answer:
$47
Step-by-step explanation:
First you would add how much he gets from babysitting to how much he gets from cleaning the garage.
so that would be 25 + 32 = 57
Then you would take his overall earnings and subtract how much he owes his mother
so that would be 57-10=47
So he has 47 dollars after he pays his mother
What is the y-intercept of the line
(0, -5)
Solution:The y-intercept of the line is the point where the line intersects the y-axis.The y-intercept is written like this: (0, b) where "b" stands for the y-intercept of the line.The line touches the y-axis (the vertical axis) at (0, -5)Therefore, the y-intercept of the line is (0, -5) or -5.Hope it helps.
Do comment if you have any query.
The chart shows the distances Steve ran during the week. According to the chart above, how much farther did Steve run on Wednesday than Monday?
5. aerial photographs at a scale of 1:6000 are required to cover an area 6 x 6 mi2. the camera has a focal length 6 inches and focal plane dimensions of 9 x 9 in. if end overlap is 60% and side overlap 30%, how many photos will be required to cover the area for the given data?
Number of photos will be required to cover the area for the given data is 62,537
To determine the number of photos required to cover the given area, we need to calculate the area that each photo can cover.
Calculation of Ground Resolution (GSD)
The Ground Sampling Distance (GSD) is a measure of the resolution of the camera, which is the distance on the ground represented by each pixel in the image.
We can calculate the GSD using the formula:
GSD = (focal length / flying height) x (image dimension / ground dimension)
Here, the focal length is given as 6 inches.
The flying height can be calculated using the scale of the photograph, which is 1:6000. This means that one unit on the photograph represents 6000 units on the ground.
Therefore, 1 inch on the photograph represents 6000 inches on the ground.
Since the area to be covered is 6 x 6 mi2, we need to convert the area to inches:
1 mile = 5280 feet = 63360 inches
Area in inches = (6 x 63360) x (6 x 63360) = 144,998,400 square inches
To cover this area with a scale of 1:6000, we need a flying height of:
1 inch on the photograph = 6000 inches on the ground
Flying height = (1 / 6000) x focal length = 0.001 x 6 = 0.006 miles
To convert this to feet, we multiply by 5280:
Flying height = 0.006 x 5280 = 31.68 feet
Now we can calculate the GSD:
GSD = (6 / 31.68) x (9 / 63360) = 0.00000318 square inches
Calculation of Photo Coverage Area
To calculate the area that each photo can cover, we need to determine the area of the photograph based on the GSD.
The area of the photograph can be calculated as:
Area of photograph = GSD x image dimension x image dimension
Area of photograph = 0.00000318 x 9 x 9 = 0.00020412 square miles
Calculation of Number of Photos Required
Now we can calculate the number of photos required to cover the area.
End overlap is given as 60%, which means that each photo overlaps with the adjacent photo by 60% in the direction of flight.
Side overlap is given as 30%, which means that each photo overlaps with the adjacent photo by 30% perpendicular to the direction of flight.
Therefore, the area covered by each photo with overlap is:
Area covered by each photo = Area of photograph x (1 - side overlap) x (1 - end overlap)
Area covered by each photo = 0.00020412 x 0.7 x 0.4 = 0.00005722 square miles
To cover the total area of 6 x 6 mi2, we need to divide the total area by the area covered by each photo:
Number of photos required = (6 x 6) / 0.00005722 = 62,537
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Please help I need it very soon with in the next 2 minutes
Answer: 27
Step-by-step explanation: Half of the supplementary (180 degree) angle is 90 degrees so we know that the other half is also 90 degrees. so 3x+9=90
Subtract 9 3x=81 divide by 3
x=27
Answer:
27
Step-by-step explanation:
if i have an 3-digit number times an 3-digit number, and the product of the leading digits is 10 or more, then the answer to this multiplication problem will have how many digits?
The product of the leading digits is 10 or more, then the answer to this multiplication problem will have Seven digits.
The product of two numbers is the answer when they are multiplied. So, the product of 5 and 4 is the multiplication 5× 4 and is equal to 20.
A 3-digit number times an 3-digit number.
The largest 3-digit number = 999
The product of largest 3 digit number and 3 digit number = 999×999
= (1000-1)(1000-1)
=( 1000)² - 2000 + 1
= 1000000 - 1999
= 998001
Which is 6-digit number. So, the product of three digit number with three digit number is cannot be greater than 6-digit number .
Now, the product of 3-digit number times an 3-digit number is multiply by 10 then one more digit added to it .
So, the possible answer of this multiplication problem consists 7-digit number.
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Can someone pls help me &THANK YOU
SLATTTT!!!
THIS IS DUE IN 45 MIN HELPPPPP 13 POINTS
Answer:
508 because you need to add up all the sides
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-3)°
(x+9)°
Answer:
14
Step-by-step explanation:
5x-3+ x+9 + 90= 180
6x+ 96=180
6x=180-96
6x=84
x=84/6
x=14
what is the value of the following expression tan (-5pi/6)
The value of the expression tan(-5π/6) can be determined using trigonometric properties and identities.
First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.
The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.
In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.
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