Answer:
B. For 5 students, the cost will be the same, and the cost will be $70
Step-by-step explanation:
Look at the graph and see where the two linear plots intersect.
This point of intersection is at the x value of 5 and y value of 70: (5, 70)
Since the x-axis represents the number of students and y axis the total cost, the answer is B
A faculty member wants to portray athletic coaches as overpaid. Which measure of center would she report as the summary statistic for the salary of coaches that would make the salary seem much larger than members of the teaching faculty
The faculty member would report the measure of center, such as the mean or median, that is higher for athletic coaches' salaries than for members of the teaching faculty to make the coach's salary seem much larger.
To portray athletic coaches as overpaid, the faculty member needs to choose a summary statistic, such as the mean or median, that will make their salaries appear much larger than those of the teaching faculty.
Since coaches' salaries are typically higher than those of faculty members, using the mean or median can help exaggerate the difference. The mean is affected by outliers, so if there are a few highly paid coaches, the mean salary will be much higher than the average salary for all coaches. Similarly, the median may be higher for coaches if there are a few highly paid coaches, even if most coaches earn less than faculty members.
Therefore, reporting the measure of center that is higher for coaches, such as the mean or median, can make their salaries seem much larger than those of faculty members.
However, this approach can be misleading because it does not consider factors such as the number of hours worked, the level of expertise required, or the revenue generated by the sports program.
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In the diagram, b || c. Find the value of y.
740
6
T
(2y+34)
a. 70
b. 54
C 36
d. 20
Answer:c
Step-by-step explanation:
Five hundred draws are made at random with replacement from a box of numbered tickets; 276 are positive. Someone tells you that 50% of the tickets in the box show positive numbers. Do you believe it
Answer: No
Step-by-step explanation:
Based on the information given in the question, I don't believe that 50% of the tickets in the box show positive numbers.
Since 500 draws are made and 276 are positive, the percentage of the tickets that'll show positive numbers will be:
= 276/500 × 100
= 55.2%
Therefore, about 55.2% of the tickets are positive. The statement that 50% are positive is incorrect.
Match each power of a power expression with its simplified expression.
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
Here, we want to match what we have on the left with the expressions on the right.
(-4^9)^2
= -4^18
(4^6)^-3
= 4^-18 = 1/4^18 according to laws of indices
(4^0)^-9 = 4^0
(4^-3)^-3
= 4^9
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
If 2 lines intersect the system is called...
1. independent and inconsistent
2. dependent and consistent
3. independent and consistent
4. dependent and inconsistent
Answer:
3. independent and consistent
Step-by-step explanation:
Intersecting Lines have a single point at which the lines intersect. Therefore the solution to this type of system is called a consistent system. (A type of system of linear equation in two variables.) Therefore, there will be no point that is common to both lines. If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent. If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line.
A form of nickel has a half life of 91 years. How much of a 90 gram sample is left after 290 years? 
The amount of the 90gram-sample that will remain after 290 years is 9.88 grams
How to determine the number of half-lives?We'll begin by obtaining the number of half lives that has elapsed. This can be obtained as follow:
Step1
Half-life (t½) = 91yearsTime (t) = 290 yearsNumber of half-lives (n) =?n = t / t½
n = 290 / 91
n = 3.1868
Step 2
determine the amount remaining:
Original amount (N₀) = 90 gramsNumber of half-lives (n) = 3.1868Amount remaining (N) =?The amount remain can be obtained as follow:
N = N₀ / 2^n
N = 90 / 2^3.1868
=9.88
N=9.88 grams
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Which equations have extraneous solutions?.
A root of a transformed equation that is not the root of the original equation because it was excluded from the original equation's domain is known as an extraneous solution.
What are extraneous solutions?
A "false" solution to an equation is known as an extraneous solution. Even if we appeared to follow sound procedures when solving the equation, an extraneous solution did not fulfill the original equation.
So,
When we solve an equation, an extraneous solution is a result that does not fulfill the equation. As an illustration, if we square both sides of the equation x = -1, we obtain the value x = 1, which does not satisfy the original equation, indicating that x = 1 is an extraneous solution.
when we wanted to solve the equation √x = -1. After squaring both sides, we get a value of x = 1.
When we substitute x = 1 into the original equation, we get:
x = -1 [original equation]
√1 = -1 [substitute x = 1]
1 = -1 [this is not true]
Hence,
This equation is called an extraneous solution.
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Hi! I need some help with this (:
Answer:
the answer is 5 lists
hope this helps
a new car sells for $27,300. it exponentially depreciates at a rate of 6.1% to $22,100. how long did it take for the car to depreciate to this amount? round your answer to the nearest tenth of a year.
The time of depreciation is 3.3 year
How to determine the time of depreciation?From the question, we have the following parameters:
Initial value = $27,300
Final value = $22,100
Rate of depreciation = 6.1% per year
These parameters can be represented using the following exponential equation
A(n) = A *(1 - r)ⁿ
Where
n = number of years
A = Initial value = 27300
A(n) = Final value = 22100
r = rate of decay = 6.1%
Substitute the known values in the above equation, so, we have the following representation
27300*(1 - 6.1%)ⁿ = 22100
Divide
(1 - 6.1%)ⁿ = 0.81
0.939ⁿ = 0.81
Take the logarithm
n = log(0.81)/log(0.939)
Evaluate
n = 3.3
Hence, the number of years is 3.3 year
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the cost per item at a supermarket follows an exponential distribution. there are many inexpensive items and a few relatively expensive ones. the mean cost per item is $3.50. what is the percentage of items that cost: a. less than $1? (round your answer to 4 decimal places.) b. more than $4? (round your answer to 4 decimal places.) c. between $2 and $3? (round your answer to 4 decimal places.) d. find the 40th percentile. sixty percent of the supermarket items cost more than what amount? (round your answer to 2 decimal places.)
The percentage of items that cost ,
less than $1 is 21.82%.
More than $4 is 15.03%
Between $2 and $3 is 21.05%
40th percentile is $2.333
60 percent of the supermarket items cost more than is $4.11.
Cost per item follows an exponential distribution,
Formula to calculate probabilities,
P(X < x) = 1 - e^(-λx)
where X is the random variable representing the cost per item,
λ is the rate parameter of the exponential distribution = 1/mean
Percentage of items that cost less than $1,
P(X < 1)
= 1 - e^(-λ1)
= 1 - e^(-1/3.51)
≈ 0.2182
Approximately 21.82% of items cost less than $1.
Percentage of items that cost more than $4,
P(X > 4)
= e^(-λ4)
= e^(-1/3.54)
≈ 0.1503
Approximately 15.03% of items cost more than $4.
Percentage of items that cost between $2 and $3,
P(2 < X < 3)
= P(X < 3) - P(X < 2)
= (1 - e^(-λ3)) - (1 - e^(-λ2))
= e^(-1/3.52) - e^(-1/3.53)
≈ 0.2105
Approximately 21.05% of items cost between $2 and $3.
40th percentile is,
solve for x in the following equation,
P(X < x) = 0.4
⇒0.4 = 1 - e^(-λx)
⇒e^(-λx) = 0.6
⇒-λx = log(0.6)
⇒x = log(0.6)/(-λ)
≈ 2.333
So the 40th percentile is $2.333 (rounded to the nearest cent).
Amount such that 60% of items cost more than that amount,
P(X > x) = 0.6
⇒0.6 = e^(-λx)
⇒-λx = log(0.6)
⇒x = log(0.6)/(-λ)
≈ 4.113
So 60% of items cost more than approximately $4.11.
Therefore , using exponential distribution the percentage for the cost of items are as follows,
Cost of items less than $1 is 21.82%.
Cost of items More than $4 is 15.03%
Cost of items Between $2 and $3 is 21.05%
Cost of items 40th percentile is $2.333
60 percent of the items cost more than is $4.11.
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imagine i flip 100 coins in a sequence, and you need to guess the sequence. you are allowed to ask one yes/no question. what do you ask to maximize the probability of guessing the sequence?
On solving the provided question, we can say that the probability of guessing the sequence 2^99 possible combinations.
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.
As soon as you realize there are more heads than tails, you realize you require at least 50 of them, and you ask 100 people to select 50 locations for them to go.
Considering that you have 250 options for the remaining coins, there are a total of (100 pick 50) + 250 combinations that are feasible.
There are 299 potential options if you simply inquire as to whether the first coin will land on heads.
Asking whether there are more heads than tails is preferable because, according to Wolfram Alpha, 299 is larger than (100 pick 50) + 250.
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If 3:7 is equivalent to (2x + 15): 63, then what is the value of x?
Answer:
6
Step-by-step explanation:
7 * y = 63
y=9 ratio has been enlarged by 9
3*9 = 27
2x+15=27 -15
2x= 12 /2
x=6
PLEASE HELP?? Online school is kicking my butt
Answer:
60/360*22/7*3*3
=4.714cm^2
Answer:
I HA TE ONLINE SCHOOL
Step-by-step explanation:
How many solutions does the equation 3(x-5)-7=-3x8 have
Answer:
not really good at maths. 15.33
Step-by-step explanation:
3(x-5)-7=3×8
3x-15-7=24
3x =24+15+7
3x = 46
Three will divide it's self to give you one and divide 46 to give you 15.333
(correct me if i'm wrong)
Sarah is planning to download music and has purchased a monthly package for $12.00 plus $0.60 for each song that she downloads. If Sarah’s bill this month totaled $39.00 how many songs did she download?
Answer:
Sarah downloaded 65 songs.
Choose one organism in the food web and name two other organism that ore not directly connected to it explain how those organisms would be affected. if the organism you chose were removed from the food web
The removal of an organism from a food web can have far-reaching consequences on other organisms within the ecosystem. Let's consider the example of the honeybee.If honeybees were removed from the food web, two organisms that would be indirectly affected are apple trees and human beings.
How would the absence of honeybees impact the ecosystem?Honeybees play a crucial role in pollinating apple trees, facilitating their reproduction and fruit production. Without honeybees, apple tree populations could decline, leading to reduced fruit yields and potential economic losses for farmers. Additionally, humans rely on honeybees for the pollination of various crops, including apples, which are an essential part of our diet. The decline in honeybee populations could result in decreased availability and increased prices of apple products, affecting both the agricultural industry and consumers.
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Please help me I've been stumped on this problem
The measure of ∠CFE is 40°
How do we find ∠CEF?To solve for triangle ∠CEF, we know that
Parallel to DE is BC
Arc length BD = 58°
Arc length DE = 142°
We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.
The arcs BD and DE are split in half by the line ZT.
Which is:
Arc SC = 1/(1/2(arc BC) = 1/(58)
Arc SC = 29°
142 = 1/2(arc DE) + arc TE
Arc TE = 71°
Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE
29° + Arc CE + 71° = 180°
Arc CE + 100° = 180°
Arc CE = 180-100
Arc CE = 80°
Angle inscribed equals half of angle intercepted
CFE = 1/2 of Arc CE
<CFE = 1/2(80)
< CFE = 40°
The above answer is based on the full question below;
In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer
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Choose the correct words from the drop-down menu to make the true statement.
Answer:
No solution
Step-by-step explanation:
you get 40≠20
I need help with this one. Please. thanks!
Answer:
x=6
Step-by-step explanation:
30=6+4x
you have to combine the number that are the same, like 2 and 4 or 3x and 4x
30-6=4x (you should always remember when you move a number if it was - it will turn +)
30-6=4x
24=4x
x=24/4
x=6
Joe ran 10 kilometers in 5 hours. what is joe’s unit rate
Answer:
2 kph
Step-by-step explanation:
10 kilometers in 5 hours.
1 hour = ?
10/5 = 2 Kilometers
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Help step by step plz :)
Answer:
182i2j3jdii32i3i38839393838383383 yan yung sagot pasalamat ka nalang mamaya
Step-by-step explanation:
hakdog ses dog
in herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to what?
In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.
THE MATCHING LAW
Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.
After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.
Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.
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Solving the linear system of equations using elimination.
8x - 6y= -20
-8x + 4y = 24
Answer:
j
Step-by-step explanation:
Answer:
the solution to the system of equations 8x - 6y = -20 and -8x + 4y = 24 is x = -22 and y = -22.
Step-by-step explanation:
To solve a system of linear equations using elimination, we can add or subtract the equations to eliminate one of the variables. In this case, we can add the given equations to eliminate the variable x.
The given equations are 8x - 6y = -20 and -8x + 4y = 24. We can add these equations by aligning the like terms and then combining them. This gives us:
8x - 6y = -20
-8x + 4y = 24
-16x + 8y = -20 + 24
-16x + 8y = 4
Dividing both sides of the equation by 8, we get:
-2x + y = 1/2
Therefore, the solution to the system of equations is x = -1/2 and y = 1/2.
We can check our solution by plugging these values into the original equations to verify that they are true statements. Plugging x = -1/2 and y = 1/2 into the first equation, we get:
8(-1/2) - 6(1/2) = -20
-4 - 3 = -20
-7 = -20
This is not a true statement, so our solution is not correct.
One mistake we made was adding the equations instead of subtracting them. If we subtract the second equation from the first equation, we get:
8x - 6y = -20
-8x + 4y = 24
8x - 6y - (-8x + 4y) = -20 - 24
2x - 2y = -44
Dividing both sides of the equation by 2, we get:
x - y = -22
Therefore, the solution to the system of equations is x = -22 and y = -22.
We can check our solution by plugging these values into the original equations to verify that they are true statements. Plugging x = -22 and y = -22 into the first equation, we get:
8(-22) - 6(-22) = -20
-176 + 132 = -20
-44 = -20
This is a true statement, so our solution is correct. Similarly, plugging x = -22 and y = -22 into the second equation, we get:
-8(-22) + 4(-22) = 24
176 - 88 = 24
88 = 24
This is also a true statement, so our solution is correct. Therefore, the solution to the system of equations 8x - 6y = -20 and -8x + 4y = 24 is x = -22 and y = -22.
If the equation x² - (3k + 1)x + (8k+ 1) = 0
has two equal roots, find the possible values
of k.
Answer:
hello : here is an solution
Step-by-step explanation:
Describe the sampling distribution of p. Assume the size of the population is 30,000. n 700, p 0.388 Describe the shape of the sampling distribution of p. Choose the correct answer below. O A. The shape of the sampling distribution of p is not normal because n s0.05N and np(1-p)210. O B. The shape of the sampling distribution of p is approximately normal because ns0.05N and np(1-p) <10. C. The shape of the sampling distribution of pis not normal because n s05N and np(1-p)<10 O D. The shape of the samplingdistrbution of p is approximately normal because n s0.05N and np(1 -p)210 Determine the mean of the sampling distribution of p. Round to three decimal places as needed.) Determine the standard deviation of the sampling distribution of p. Round to three decimal places as needed.)
The correct option regarding the sampling distribution of p, considering the Central Limit Theorem, is given as follows:
D. The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.
The mean of the sampling distribution of p is of:
0.388.
The standard deviation of the sampling distribution of p is of:
0.0184.
What is defined by the Central Limit Theorem?The Central Limit Theorem defines the distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n, in which:
The mean is \(\mu = p\).The standard deviation is \(s = \sqrt{\frac{p(1 - p)}{n}}\)The shape is approximately normal.As long as these two conditions are respected:
\(n \leq 0.05N\)\(np(1 - p) > 10\)The values of the parameters in this context are given as follows:
N = 30000, n = 700, p = 0.388.
Hence the conditions are:
n/N = 700/30000 = 0.0233 < 0.05.np(1 - p) = 700 x 0.388 x 0.612 = 166 > 10.Then the shape is approximately normal and option D is correct.
The mean of the distribution is of:
\(\mu = p = 0.388\)
The standard error of the distribution is of:
\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.388(0.612)}{700}} = 0.0184\)
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The 4-It wall shown here slands 28 ft from the building. Find the length of the shortest straight bearn that will reach to the side of the building from the ground outside the wall. Bcom 2 Building 1'
The length of the shortest straight is approximately 28.01 ft.
What is the right triangle?
A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".
To find the length of the shortest straight beam,we can use the Pythagorean theorem.
Let's denote the length of the beam as L and a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.
Using the Pythagorean theorem,
\(L^2 = (28 ft)^2 + (1 ft)^2\)
Simplifying the equation:
\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)
\(L = \sqrt{785}ft\)
Calculating the value of L:
L ≈ 28.01 ft
Therefore, the length of the shortest straight beam is approximately 28.01 ft.
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Which equation demonstrates the identity property?? (question 2\10 in 6th g math) ( be fast pls need this right now)
A. (3x4)+(3x5)=3(4+5)
B. 3x5=5x3
C. 3(4x5)=(3x4)x5
D. 4x1=4
(15 points)
Answer: The identity property of multiplication states that multiplying a number by one will result in the original number. 1 * x = x
Step-by-step explanation:
a)
12 +15 = 3 *9
27= 27
1
B) 15=15
=1
c) 3*20=12*5
60=60
=1
d) 4=4
=1
A group of Tibetan monks created a sand mandala at an art museum. The mandala was in the shape of a circle with a radius of 2.5 ft What was the was the area of the sand mandala use 3.14 for pie
A 2.5-foot-radius sand mandala's surface area is 19.63 square feet.
A Tibetan Buddhist practise known as "sand mandala" involves building and tearing down mandalas composed of different coloured sand. The ritualistic breakdown of the sand mandala is followed by ceremonies and viewing when it is finished to represent Buddhism's doctrine on the fleeting nature of material life.
Here is how to calculate a circle's area:
Circle area is equal to πr² (where r is the radius of the circle)
We can use the radius value that has been provided to solve for the area using the following formula:
The sand mandala's size is πr²= π(2.5)²= π(6.25)= 19.63 square feet.
Hence, the sand mandala has a 19.63 square foot surface area.
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someone helpp!!!!!!!
Answer:
the rate of change is 3
Step-by-step explanation:
if im wrong im sorry but if im right give me brainliest
A coat that was $125 but it marked down 30%
Answer: $87.50
Step-by-step explanation:
Did a short way I learned.
Since we are marking down did
100%-30% = 70%
Convert it into a decimal:0.7
Did 125(0.7) and got 87.50.
I am 100% sure this is right.