Answer:
As the time a basketball player practices increases, the number of points scored in a game increases with a strong linear association.
Answer:
the last one I hope this helps
Han's cell phone plan costs $200 to start. Then there is a $50 charge each month. b. What is the total cost for months?
Answer:
200+(50x) x = months
Step-by-step explanation:
the start up is 200, every month x han has to pay 50
total cost = 200+(50x)
67) At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. Service times are random (exponential) and average 2 minutes per arrival. The average time in the queue for each arrival is
A) 2 minutes.
B) 4 minutes.
C) 6 minutes.
D) 8 minutes.
E) 10 minutes.
E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.
To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.
In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).
Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.
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HELP 100 POINTS ASAP
WILL MARK THE BRANLIEST
A group of biologists found a total of 28 loggerhead turtle nests along a beach during a certain season. This was 40% of the total number of turtle nests the group found during that season. What was the total number of turtle nests the group found during that season?
70
85
110
143
Answer:
A
Step-by-step explanation:
Let T represent the total number of turtle nests found during the season.
The 28 turtle nests was 40% of 0.4 of the total. Therefore:
\(28=0.4T\)
So, to find T, divide both sides by 0.4:
\(T=70\)
So, the total number of turtle nests the group found during tthe season was 70.
Hence, our answer is A.
solve this algebraic expression
\(16a {}^{4} - 4a {}^{2} - 4a - 1\)
Answer:
The factored form is,
\((4a^2+2a+1)(4a^2-2a-1)\)
Step-by-step explanation:
We have,
\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)
Using the difference of square formula,
\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)
Which is the factored form,
passes through (-6,2) and is parallel to the line whose equation is 2x-3y=12
\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)
Step-by-step explanation:
First let's convert 2x - 3y = 12 into \(y = mx + b\) form.
In order to do this, solve for y.
\(2x-3y=12\)
\(-3y=-2x+12\)
\(y=\frac{2}{3} x-4\)
This shows us that the slope is \(\boxed{\frac{2}{3}}\)
Now we use the point-slope formula:
\((y-y1)=m(x-x1)\)
where m is the slope and y1 and x1 are the point the line passes through
Using the point (-6,2) and slope, 2/3, we can find the equation:
\((y-2)=\frac{2}{3} (x-(-6))\)
\((y-2)=\frac{2}{3} (x+6)\)
\((y-2)=\frac{2}{3} x+4\)
\(\large\boxed{y=\frac{2}{3} x+6}\)
g a pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. this plan randomly selects and tests 29 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. what is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects? (report answer as a decimal value accurate to four decimal places.)
The probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660
This problem can be solved by permutations and combinations. This can also be solved using binomial probability experiment.
Let, then we could reasonably assume that follows a binomial distribution.
Given P = 0.01 and n = 29
P(x) = nCx.px.(1-p)^(n-x)
nCx = n! [x!-(n-x)!]
P = P(X<=1).
X<=1, if X = 0 and X = 1,
P(0) + P(1)
P(0) = 1.(0.01)^(0).(0.99)^(29) = 0.74717
P(1) = 29C1.(0.01)^(1).(1-0.01)^(29-1)
P(1) = 0.21887
P = P(0) + P(1)
P = 0.74717+0.21887 = 0.9660
So, therefore the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660
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If 3 x/4 +2 =56.8, what is the value of x?
A) x≈ −2.891
B) x≈ 6.708
C) x≈ −4.323
D) x≈ −2.059
Answer:
the value of the x is 73.07
Step-by-step explanation:
The computation of the value of the x is shown below:
Given that
3x ÷ 4 + 2 = 56.8
3x + 8 ÷ 4 = 56.8
3x + 8 = 56.8 × 4
3x + 8 = 227.2
3x = 227.2 - 8
3x = 219.2
x = 73.07
Hence, the value of the x is 73.07
This is the answer but the given options are incorrect
A video streaming company charges customers for videos streamed based on a proportional relationship. Customers pay $24.50 to stream seven videos. Part A: Write an equation representing this relationship. Let v represent videos streamed and c represent cost. Part B: What is the constant of proportionality of this relationship? Enter your answer in the blank.
The equation which can be used to represent the relationship is c = k × v
The constant of proportionality of this relationship is 3.5
How to write equation representing a relationship?v = represent videos streamed
c = represent cost
constant of proportionality = k
c = $24.50
v = 7
c = k × v
24.50 = k × 7
24.50 = 7k
divide both sides by 7
k = 3.5
In conclusion, the equation which represents the situation is c = k × v where k = 3.5.
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Consider the equation 12x - 15y = 70
Solve for x (in terms of y)
Solve for y (in terms of x)
PLEASE HELP MEEEE IM IN A TEST!
please answer this for me I need it it's due at midnight
A cylindrical storage container has a diameter of approximately 7 inches and a height of 10 inches. What is the volume of the container? Use 3.14 for pie and round to the nearest hundredth.
Answer:
1,207.801 or 1,207.80 or 1,207.8
Step-by-step explanation:
How to calculate volume of cylinder: Pie*radius^2*height
Since radius is half of diameter, 7/2= 3.5 inches for radius.
3.5*3.14= 10.99
10.99^2 or 10.99*10.99= 120.7801
120.7801*10= 1,207.801 or 1,207.80 or 1,207.8
Evaluate the function
Answer:
224
Step-by-step explanation:
f(-7) = 4(-7)^2 - 4(-7)
=196 + 28
=224
View Policies Current Attempt in Progress Using the information provided in the table, the network diagram and the project completion time = 25 weeks, reduce the completion time of the project by 5 we
Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.
To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.
To achieve a reduction of 5 weeks, we can consider several strategies:
1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.
2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.
3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.
4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.
It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.
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it takes edna 23 minutes to drive to jake’s party. if she needs to be there at 2:30, what time should she leave
Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.
If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.
To calculate the departure time, we subtract 23 minutes from 2:30 PM:
2:30 PM - 23 minutes = 2:07 PM
Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
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Use the Alternating Series Estimation Theorem to estimate the range of values of x for which the given approximation is accurate to within the stated error. Check your answer graphically. (Round your answers to three decimal places.)
cosx≈1−x^2/2+x^4/24
(|error|<0.0005)
< x
we need to find the range of values of x for which the approximation of cos(x) using the series 1 - x^2/2 + x^4/24 is accurate to within an error of |error| < 0.0005.
The Alternating Series Estimation Theorem tells us that the error of an alternating series approximation is less than or equal to the absolute value of the next term in the series. In this case, the next term is x^6/720.
To find the range of values of x, we set up the inequality:
|x^6/720| < 0.0005
Simplifying, we have: x^6 < 0.0005 * 720, x^6 < 0.36
Taking the sixth root of both sides, we get: |x| < 0.777
So, the range of values for x is (-0.777, 0.777).
To graphically check the answer, we can plot the function y = cos(x) and compare it to the approximation 1 - x^2/2 + x^4/24. We can see that within the range (-0.777, 0.777), the approximation closely matches the actual function.
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Please help!IT SI MY HOMEWORK
Answer:
imma celeb chek
Step-by-step explanation:
what is the slope of the line on this graph
Answer:
m = 1/2
Step-by-step explanation:
Look at the points on the graph and determine what the slope would be using the slope formula. y2-y1 / x2-x1.
2 - 0 / 0 - (-4)
2/4
1/2
Answer:
the slope of the line is 2
Step-by-step explanation:
use the formula for the slope of a line: y2-y1/x2-x1
this will give you 2-0/0-(-4) = 2/4
simplified to 2 for the slope.
if the answer you need is just the slope ten it would be 2
if you're looking for the equation of the line it would be y=2x+2
Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)
Answer:
Step-by-step explanation:
Sorry I can't explain how it is done. It is very difficult to explain on paper.
50 POINTS WILL MARK BRAINLIEST find the area.
Answer:
43?
Step-by-step explanation:
Consider the function f(x) = 2x + 6 and the graph of the function g shown below.
The graph of g is the graph of f
Translated units. ,and g(x)=
The graph of g is the graph of f translated 5 units right , the equation of g(x) = 2x-4.
The complete function is
Consider the function f(x) = 2x + 6 and the graph of the function g shown below.
The graph of g is the graph of f translated (1,4,5 or 6) units (left, right, up, or down) ?
and g(x) = ?
What is a Straight Line function?A Straight line function is given by y =- mx +c , where m is the slope and c is the intercept on y axis.
From the graph it can be seen that
for y = mx+c
at x =0 ,y= -4
at y=0, x=2
Slope = 4/2 = 2
y = 2x +c
-4 =c
y = 2x -4
From the equation it can be concluded that the graph of g is the graph of f translated 5 units right .
Therefore the equation of g(x) = 2x-4
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2) A 4-digit number will be formed using the digits 1, 2, 3, 4, 5, 6, 7,9. Each digit will only be used once, if at all. Note that there is no 8. a) How many possible 4-digit numbers are possible? TOTAL: b) Assume four of the digits are randomly chosen and randomly permuted in order to form the 4-digit number. Then each of the possible 4-digit numbers in part a) are equally likely. Find the probability that the 4-digit number ends up being an odd number greater than or equal to 6000? Hint: Partition the event that the number is odd and greater than or equal to 6000 into: • the event that the number is odd and between 6000 & 6999 inclusive • the event that the number is odd and greater than or equal to 7000. (odd numbers in [6000,6999 ways (odd numbers 7000 or more) ways PROBABILTY:
The possible 4-digit numbers are 1,680.
Probability that 4-digit number ends up being an odd number greater than or equal to 6000 is 57.14%.
How to calculate probability?a) The number of possible 4-digit numbers that can be formed using the given digits without repetition is given by the permutation formula:
P(8,4) = 8! / (8 - 4)! = 8 x 7 x 6 x 5 = 1,680
Therefore, there are 1,680 possible 4-digit numbers using the given digits.
b) The total number of 4-digit numbers that can be formed from the given digits is 1,680, as calculated in part a).
To find the probability that the 4-digit number is odd and greater than or equal to 6000, we need to calculate the number of odd 4-digit numbers in the range [6000, 6999] and the number of odd 4-digit numbers greater than or equal to 7000, and divide each by the total number of 4-digit numbers.
Number of odd 4-digit numbers in [6000, 6999]:
The last digit must be 1, 3, 5, or 7 (4 choices). The first three digits can be any of the remaining 7 digits (7 choices for the first digit, 6 choices for the second digit, and 5 choices for the third digit). Therefore, the number of odd 4-digit numbers in [6000, 6999] is:
4 x 7 x 6 x 5 = 840
Number of odd 4-digit numbers greater than or equal to 7000:
The first digit must be 7 (1 choice). The last digit must be 1, 3, 5, or 7 (4 choices). The second and third digits can be any of the remaining 6 digits (6 choices for the second digit and 5 choices for the third digit). Therefore, the number of odd 4-digit numbers greater than or equal to 7000 is:
1 x 4 x 6 x 5 = 120
The total number of odd 4-digit numbers is 840 + 120 = 960.
Therefore, the probability that the 4-digit number is odd and greater than or equal to 6000 is: 960 / 1,680 = 0.5714 or approximately 57.14%.
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help plsssssss no links or files
Answer:
7500 yds^2
Step-by-step explanation:
A = \(\frac{1}{2}\)Bh
A = \(\frac{1}{2}\) 50 * 300
A = 25 * 300
A = 7500
Bella is watching a baseball game. So far, 4 out of 22 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?
The required experimental probability that the next batter will get a hit is 2/11.
What is Probability?A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.
According to question:The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.
In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:
P(hit) = Number of hits / Total number of batters
P(hit) = 4/22
Simplifying:
P(hit) = 2/11
Therefore, the experimental probability that the next batter will get a hit is 2/11.
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Please help.
Graph the line whose x-intercept is 9 and whose y-intercept is -8.
Answer:
Step-by-step explanation:
Graph the line whose -intercept is 9 and whose -intercept is 8
The diameter of a circular pizza is 24 in. How much pizza is eaten (in square inches) if half of it is consumed? (Pie and л... hmmmm...interesting...)
Using the formula of area of a circle, about 226.08in² has been eaten
How much pizza is eaten?The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:
Area = π * r²
where π is approximately 3.14 and r is the radius of the circle.
Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.
Let's calculate the area of the entire pizza first:
Area = 3.14 * 12²
Area = 3.14 * 144
Area ≈ 452.16 square inches
Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:
Area of half of the pizza = 452.16 / 2
Area of half of the pizza ≈ 226.08 square inches
Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.
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a qualitative researcher might pose which question relating to sampling? to which group will i be able to generalize my findings? will my sample be representative of the target population? who would be a rich information source for my study? how many people do i need to achieve adequate power?
A researcher will pose all of these related to sampling. So, the correct answer is all of the questions
The first question is related to the applicability of the findings of study which are typically beyond the data sources that are selected for study
The second question is related to the fact that sample of participants selected for the study reflects the diversity of the actual population to which extent
The third question relates to identifying the individuals which will be available for the study and it will consider different factors such as their experiences
The fourth question is not that much relevant as it as related with depth and the precision of the findings of the study
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f(x)=5sinx+cosx then f ′
(x)=−5cosx−sinx Select one: True False
False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.
To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).
Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.
Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:
f'(x) = 5cos(x) - sin(x).
This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).
In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).
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In AMNO, the measure of angle O=90^ the measure of angle N=39^ , and MN = 3 feet. Find length of NO to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer = 2.3
C is directly proportional to D, when C-125 and D=5. Work out the value of C when D = 6. Work out the value of D when C = 4725
Answer:
d=189 when c=4725
Step-by-step explanation:
c:d
125:5
divide by 5 to find the value of c when d=1
25:1
multiply by 6 to find the value of c when d=6
150:6
4725:?
4725/25=189
189*1=189
What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?
Answer:
3 or 4 i belive
Step-by-step explanation: