Answer:
Distance = speed x time.
Step-by-step explanation:
Hope I helped
You have $18 to buy peppers. Peppers cost $1.50 each. Write and solve an inequality that represents the numbers of peppers you can buy.
Answer:
27
Step-by-step explanation:
you 1.50x18
It asks "plot the next two points but I do not understand because the table only shows until 9 years not until 10 years
https://gyazo.com/33f5ff104f60eca987633cce6d4a0347
There are 10 children.
Scenario A. The manager at Dunder-Mifflin Paper Company interested in understanding how a company's employee benefits influence employee satisfaction. In 2020 the company implemented a new benefits package that included optional benefits such as childcare, eldercare, and retirement packages. The manager compares the employee satisfaction ratings from before and after the new benefits package was implemented.
1. What is the independent variable for Scenario A?
a. The employee benefits package
b. The work from home policy
c. Employee productivity
d. The employees at the company
e. The office layout (floorplan)
The independent variable for Scenario A is given as follows:
a. The employee benefits package.
What are dependent and independent variables?In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:
The independent variable is the input of the relation.The dependent variable is the output of the relation.In the context of this problem, we have that the input and the output of the relation are given as follows:
Input: Employee benefits package.Output: Employee satisfaction.Hence the independent variable for Scenario A is given as follows:
a. The employee benefits package.
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The marketing research department of a computer company used a large city to test market the firm's new laptop. The department found the relationship between price p (dollars per unit) and the demand x (units per week) was given approximately by the following equation.
p= 1275 = 0.17x^2 0 < x < 80
So, weekly revenue can be approximated by the following equation.
R(x)= rp = 1275x- 0.17x^3 0 < x <80
Required:
a. Find the local extrema for the revenue function. What is/are the local maximum/a?
b. On which intervals is the graph of the revenue function concave upward?
c. On which intervals is the graph of the revenue function concave downward?
(a) the lοcal maximum fοr the revenue functiοn οccurs at x = 50.
(b) the range οf x is 0 < x < 80, there are nο intervals οn which the graph οf the revenue functiοn is cοncave upward.
(c) the range οf x is 0 < x < 80, the graph οf the revenue functiοn is cοncave dοwnward fοr the interval 0 < x < 80.
What is Revenue?revenue is the tοtal amοunt οf incοme generated by the sale οf gοοds and services related tο the primary οperatiοns οf the business.
a. Tο find the lοcal extrema fοr the revenue functiοn R(x) =\(1275x - 0.17x^3,\) we need tο find the critical pοints by taking the derivative οf the functiοn and setting it equal tο zerο.
\(R'(x) = 1275 - 0.51x^2\)
Setting R'(x) = 0 and sοlving fοr x:
\(1275 - 0.51x^2 = 0\)
\(0.51x^2 = 1275\)
\(x^2 = 2500\)
x = ±50
We have twο critical pοints: x = -50 and x = 50.
Tο determine whether these critical pοints are lοcal maxima οr minima, we can examine the secοnd derivative οf the functiοn.
R''(x) = -1.02x
Evaluating R''(x) at the critical pοints:
R''(-50) = -1.02(-50) = 51
R''(50) = -1.02(50) = -51
Since R''(-50) > 0 and R''(50) < 0, the critical pοint x = -50 cοrrespοnds tο a lοcal minimum, and x = 50 cοrrespοnds tο a lοcal maximum fοr the revenue functiοn.
Therefοre, the lοcal maximum fοr the revenue functiοn οccurs at x = 50.
b. The graph οf the revenue functiοn is cοncave upward when the secοnd derivative, R''(x), is pοsitive.
R''(x) = -1.02x
Fοr R''(x) tο be pοsitive, x must be negative. Since the range οf x is 0 < x < 80, there are nο intervals οn which the graph οf the revenue functiοn is cοncave upward.
c. The graph οf the revenue functiοn is cοncave dοwnward when the secοnd derivative, R''(x), is negative.
R''(x) = -1.02x
Fοr R''(x) tο be negative, x must be pοsitive. Since the range οf x is 0 < x < 80, the graph οf the revenue functiοn is cοncave dοwnward fοr the interval 0 < x < 80.
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a not-so-enthusiastic student has a predictable pattern for attending class. if the student attends class on a certain friday, then she is 2 times as likely to be absent the next friday as to attend. if the student is absent on a certain friday, then she is 4 times as likely to attend class the next friday as to be absent again. what is the long run probability the student either attends class or does not attend class? g
Therefore, the probability that the student attends class on a certain Friday is 1/2, and the probability that the student is absent is also 1/2. The long-run probability that the student either attends class or does not attend class is simply 1, since these are the only two possible outcomes.
Let's use A to represent the event that the student attends class on a certain Friday, and let's use B to represent the event that the student is absent on a certain Friday. We are asked to find the long-run probability that the student either attends class or does not attend class.
We can use the law of total probability and consider the two possible scenarios:
Scenario 1: The student attends class on a certain Friday
If the student attends class on a certain Friday, then the probability that she will attend class the next Friday is 1/3, and the probability that she will be absent is 2/3. Therefore, the probability that the student attends class on two consecutive Fridays is:
P(A) * P(A|A) = P(A) * 1/3
Scenario 2: The student is absent on a certain Friday
If the student is absent on a certain Friday, then the probability that she will attend class the next Friday is 4/5, and the probability that she will be absent again is 1/5. Therefore, the probability that the student is absent on two consecutive Fridays is:
P(B) * P(A|B) = P(B) * 4/5
The probability that the student attends class or is absent on a certain Friday is 1, so we have:
P(A) + P(B) = 1
Now we can solve for P(A) and P(B) using the system of equations:
P(A) * 1/3 + P(B) * 4/5 = P(A) + P(B)
P(A) + P(B) = 1
Simplifying the first equation, we get:
2/3 * P(B) = 2/3 * P(A)
P(B) = P(A)
Substituting into the second equation, we get:
2 * P(A) = 1
P(A) = 1/2
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Following table shows the birth month of 40 students of class IX.
Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec.
3 4 2 2 5 1 2 5 3 4 4 4
Find the probability that a student was born in August.
The probability that a student was born in August is 1/8
How to find the probability of student born in August?To further clarify, the probability of an event happening is calculated by taking the number of favorable outcomes and dividing it by the total number of possible outcomes.
In this case, the favorable outcome is being born in August and the total number of possible outcomes is the total number of students in the class.
The given table shows that there are 5 students who were born in August.
The total number of students in the class is 40.
Therefore, the probability of a student being born in August is:
P(August) = Number of students born in August / Total number of students
P(August) = 5 / 40
P(August) = 1/8
So, the probability that a student was born in August is 1/8 or approximately 0.125.
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If VZ = 5 cm, ZX = 4 cm, VX = 7 cm, and PQ = 3.2 cm, what is the measure of RP?
A. 2.56 cm
B. 5.6 cm
C. 6.25 cm
D. 4 cm
Answer:
D
Step-by-step explanation:
Ratio measurements
VZX: RPQ
ZX: PQ
4: 3.2
1.25: 1
5/1.25= 4
A company is selecting 6 people to be on a committee. There are 26 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random and each employee will have a different position on the committee
the sum of 4.5 and one-third a number is equal to at most 38.9. what are all the possible values of the number? how would you write an inequality that could be used to solve this problem?(1 point)
The possible values of the number x are any real number that is less than or equal to 103.2. This can be written as: x <= 103.2
Let's call the number "x".
The sum of 4.5 and one-third of x can be written as:
4.5 + (1/3)x
The inequality to represent the statement "the sum is equal to at most 38.9" would be:
4.5 + (1/3)x <= 38.9
To solve for x, we can isolate x by subtracting 4.5 from both sides:
(1/3)x <= 34.4
And finally, multiplying both sides by 3:
x <= 103.2
So, all the possible values of the number x are any real number that is less than or equal to 103.2. This can be written as:
x <= 103.2
or
-∞ < x <= 103.2
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lightning strikes the number of lightning strikes on a square kilometer of open ground in a year has mean 6 and standard deviation 2.4. (these values are typical of much of the united states.) the national lightning detection network (nldn) uses automatic sensors to watch for lightning in a random sample of 10 one-square-kilometer plots of land. (a) what are the mean and standard deviation of x, the sample mean number of strikes per square kilometer? (b) explain why you cannot safely calculate the probability that x 5 based on a sample of size 10. (c) suppose the nldn takes a random sample of n 50 square kilometers instead. explain how the central limit theorem allows us to find the probability that the mean number of lightning strikes per square kilometer is less than
The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016, when open ground in a year has mean 6 and standard deviation 2.4.
Define mean.It imply a quantity that falls somewhere between the values of the extreme members of a set in mathematics. There are different types of means, and how they are calculated relies on the relationship that is known about or is regarded as governing the other members.
Given,
Mean = 6
Standard deviation = 2.4
The value that has been reduced by the population mean and divided by the standard deviation is called the z-value.
z = x - mean/ standard deviation/√n
z = 5 - 6/2.4/√50
z = - 2.95
Using table A, calculate the corresponding probability;
= P(x <5)
= P( z < -2.95)
= 0.0016
The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016.
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Your answer
b. To find 36 x 19, I find 36 times 20 and remove 1 group of 36. *
Your answer
Answer:
684
Step-by-step explanation:
36
x19
let calculator do the rest and then ur done
Define the nonprobability sampling methods and give examples of each.
Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.
In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.
A vector with magnitude 4 points in a direction 250 degrees counterclockwise from the positive x axis.
write the vector in component form.
The vector with a magnitude of 4 and a direction of 250 degrees counterclockwise from the positive x-axis can be written in component form as (-2.77, 3.41).
To write a vector in component form, we need to break it down into its horizontal and vertical components. Let's analyze the given vector with a magnitude of 4 and a direction of 250 degrees counterclockwise from the positive x-axis.
To find the horizontal component, we use cosine, which relates the adjacent side (horizontal) to the hypotenuse (magnitude of the vector). Since the vector is counterclockwise from the positive x-axis, its angle with the x-axis is 360 degrees - 250 degrees = 110 degrees. Applying cosine to this angle, we have:
cos(110°) = adj/hypotenuse
adj = cos(110°) * 4
Similarly, to find the vertical component, we use sine, which relates the opposite side (vertical) to the hypotenuse. Applying sine to the angle of 110 degrees, we have:
sin(110°) = opp/hypotenuse
opp = sin(110°) * 4
Now we have the horizontal and vertical components of the vector. The component form of the vector is written as (horizontal component, vertical component). Plugging in the values we found, the vector in component form is:
(cos(110°) * 4, sin(110°) * 4)
Simplifying this expression, we get the vector in component form as approximately:
(-2.77, 3.41)
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what is the value of A
I think the answer is a = 4.5
81 ÷ 6 ÷ 3 = 4.5
I hope this helps, have a wonderful day!
i guess it might be right or wrong.the answer will be x value is 20.
one of the following steps is not required as a step to test for the null hypothesis: compute the p-value. compute the standard error of the slope estimate compute the t-statistic. test for the errors to be normally distributed.
One of the following steps is not required as a step to test for the null hypothesis is Compute the standard error of the slope estimate.
What is hypothesis testing?Hypothesis testing is a statistical method for testing the validity of a hypothesis made about a parameter in a population. This method may be used to assess the truth of a hypothesis made about a population parameter.
A hypothesis testing problem involves determining whether there is enough evidence in a sample data to support the hypothesis about the population.
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Which graph shows the same end behavior as the graph of f(x) = 2x6 – 2x2 – 5?
The graph that shows the same end behavior as the graph of f(x) = 2x⁶ – 2x² – 5 is graph A.
How to explain the graph?
In order to find the end behavior of the graph, we need to find the degree of the given function and the leading coefficient. The highest power of x is 6.
The leading coefficient is the coefficient of the highest power term. We have the highest power term is 2x⁶. The leading coefficient is 2 (Positive number)
Therefore, The graph that shows the same end behavior as the graph of f(x) = 2x⁶ – 2x² – 5 is graph A.
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can someone help with this
The domain and range of this square root function y = 5/2√(-5x + 1) - 87 are as follows;
Domain = {x|x ≤ 1/5}.
Range = {y|y ≥ -87}.
The domain and range of this square root function y = -315√(11x - 3) - 15/88 are as follows;
Domain = {x|x ≥ 3/11}.
Range = {y|y ≤ -15/88}.
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached below for the given square root function y = 5/2√(-5x + 1) - 87 and y = -315√(11x - 3) - 15/88, we can reasonably and logically deduce the following domain and range:
Domain = {-∞, 1/5} or {x|x ≤ 1/5}.
Range = {-87, ∞} or {y|y ≥ -87}.
Domain = {3/11, ∞} or {x|x ≥ 3/11}.
Range = {-∞, -15/88} or {y|y ≤ -15/88}.
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Two robbers have just robbed a bank and are in a hotel room with a suitcase of money worth 100 million dollars. Each would prefer to have the whole amount to himself
rather than to share it. They are armed with pistols, but their shooting skills are not that great. Specifically, if they shoot, R1 and R2 have 20% and 40% chances of killing
their target, respectively. Each has only one bullet left. First, R1 decides whether to shoot. If he shoots, then R2, if alive, decides whether to shoot. If R1 decides not to
shoot, then R2 decides whether to shoot. The survivors split the money equally
In the subgame-perfect equilibrium, both robbers decide not to shoot, resulting in a payoff of 50 million dollars each as they split the money equally.
(a) The game can be represented in extensive form as follows:
/ R1 decides not to shoot
/ R2 decides not to shoot (split money equally)
/
Bank --->
\
\ R2 decides to shoot
\
\ R1 decides not to shoot (R2 takes all the money)
The decision nodes indicate the choices of the robbers (shoot or not shoot), and the outcome nodes represent the resulting payoffs.
(b) To find a subgame-perfect equilibrium, we analyze the game backward, starting from the final decision nodes.
At the bottom of the tree, when R1 decides not to shoot, it is in his best interest to split the money equally with R2 since they both survive.
When R2 has the last decision, if he decides not to shoot, he ensures a payoff of 50 million dollars by splitting the money with R1. If R2 decides to shoot, the outcome is uncertain due to the probabilities of killing. Therefore, R2's best strategy is to not shoot.
Moving up the tree, when R1 has the decision, he knows that if he shoots, there is a 20% chance of killing R2 and taking the entire amount, but an 80% chance of getting nothing if R2 survives. On the other hand, if R1 decides not to shoot, he guarantees a payoff of 50 million dollars by splitting the money with R2.
Therefore, the subgame-perfect equilibrium is for R1 to decide not to shoot, and then R2 to also decide not to shoot. This leads to a payoff of 50 million dollars for each robber, as both survive and split the money equally.
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The complete question is:
Two robbers have just robbed a bank and are in a hotel room with a suitcase of money worth 100 million dollars. Each would prefer to have the whole amount to himself rather than to share it. They are armed with pistols, but their shooting skills are not that great. Specifically, if they shoot, R1 and R2 have 20% and 40% chances of killing their target, respectively. Each has only one bullet left. First, R1 decides whether to shoot. If he shoots, then R2, if alive, decides whether to shoot. If R1 decides not to shoot, then R2 decides whether to shoot. The survivors split the money equally. (a) (10 marks) Write this game in extensive form. (b) (15 marks) Find a subgame-perfect equilibrium.
In a polar coordinate system, the midpoint of the line segment whose endpoints are $\left( 8, \frac{5 \pi}{12} \right)$ and $\left( 8, -\frac{3 \pi}{12} \right)$ is the point $(r, \theta).$ Enter $(r, \theta),$ where $r > 0$ and $0 \le \theta < 2 \pi.$
Answer:
Step-by-step explanation:
Given the coordinate points (8, 5π/12) and (-3, π/12)
The midpoint is expressed using the formula
M(X,Y) = {(x1+x2)/2, (,y1+y2)/2}
X = x1+x2/2
X = 8-3/2
X = 5/2
Y = y1+y2/2
Y = (5π/12+π/12)/2
Y = (6π/12)/2
Y = 6π/24
Y = π/4
Hence the required coordinate is at(2.5, π/4)
The table below shows the average temperature during the day and the number of snow cones sold
for several days. Use the data to answer 7-9.
AVG TEMP (°F)
SNOW CONES SOLD
66
250
68
298
7. Use the data to construct a scatter plot.
500
72
311
76
364
79
399
84
450
88
301
91
476
93
500
8. Which is true about the association seen in
the data?
A scatter plot is a type of graph that is used to display the relationship between two sets of data. The scatterplot is attached below.
What is scatterplot about?In a scatter plot, each point represents a pair of values, one for each variable being plotted. The x-axis usually represents the independent variable, and the y-axis represents the dependent variable. The position of each point on the graph shows the values for both variables.
The scatter plot is useful for visualizing the nature of the relationship between the two variables being plotted. If the points on the graph are closely clustered around a straight line, this indicates a strong linear relationship between the two variables.
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how to factorise 8a3-b3
Answer:
Step-by-step explanation:
Answer:
(2a - b)(4a² + 2ab + b²)
Step-by-step explanation:
8a³ - b³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , thus
8a³ - b³
= (2a)³ - b³
= (2a - b)((2a)² + 2ab + b² ), that is
(2a - b)(4a² + 2ab + b²)
PLS HELP ASAP!!!!!!!!!!!!!!!!
Quadrilateral EFGH is inscribed inside a circle as shown below. Write a proof showing that angles H and F are supplementary.
Given
Find
showing that angles H and F are supplementary.
Explanation
Let angle F , which is subtended by minor arc GHE.
so , angle F = half of angle GHE by subtended angle theorem.
similarly , angle H is the angle subtended by major arc GFE.
so , angle H = half of the angle subtended by major arc.
since , total angle around J is 360 degree.
as we know , the sum of angle subtended by minor arc and major arc is 360 degree.
so , angle F + angle H = 1/2(360) = 180 degree.
Final Answer'
Hence , H and F are supplementary angles.
-2.8f+0.9f-13-8 please simplify this
Answer: -1.9f - 21
Step-by-step explanation:
Combined the like terms.
Correct me if I am incorrect.
Identify the independent and dependent variable for the given situation. The amount of
distance covered by a car in a certain amount of time.
Answer:
distance = independant; time = dependant
Step-by-step explanation:
You are able to change the distance you travel, making it the independant. As you go farther, the time increases, so it is dependant on the distance traveled, therefore it is the dependant.
. One day the U.S. dollar was worth approximately 100 yen. An exchange of 2500 yen
was made that day. What was the value of the exchange in dollars?
Answer: $25
Step-by-step explanation:
2500/100 = 25
Nine is less than or equal to the difference of a number and 1.??
Answer:
Less than?
Step-by-step explanation:
Don't trust me on this i dont know but I tried
Inequality of Nine is less than or equal to the difference of a number and 1 is 9 ≤ x - 1
In the given inequality, "Nine" represents the number 9. The symbol "≤" means "less than or equal to."
The variable "x" stands for the unknown number we're trying to find. We're told that "a number" (which is represented by "x") minus 1 is the difference we're looking at. So, we can set up the inequality as "Nine ≤ x - 1."
Now, let's solve for "x" step by step.
1. Start with the inequality: Nine ≤ x - 1.
2. Add 1 to both sides of the inequality to isolate "x":
Nine + 1 ≤ x - 1 + 1
Ten ≤ x.
So, the solution is x ≥ 10. This means that any number (x) that is greater than or equal to 10 will satisfy the given inequality "9 ≤ x - 1."
In other words, if you pick a number 10 or greater, subtract 1 from it, the result will still be greater than or equal to 9, fulfilling the initial condition.
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I neeeed helpssssssssssasss
Answer:
42
Step-by-step explanation:
Hey There!
Angle 3 and Angle 4 are a pair of supplementary angles meaning that added together they will equal 180
So if angle 4 is given to find angle 3 all we have to do is subtract the angle that is given from 180
180-138=42
Therefore angle 3 = 42
Dylan opened a credit card account with $575.00 of available credit. Now that he has made some purchases, Dylan's account only has $465.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
A.
14%
B.
81%
C.
19%
D.
23%
Answer:
C.) 19% decrese
Step-by-step explanation:
575.00 - 465.75 = 109.25
109.25/575.00 = 0.19
0.19 = 19%
575.00 - 465.75 = 109.25
109.25/575.00 = 0.19 = 19%
Therefore, the percentage decrease of the amount of available credit in Dylan's account is 19%.
-x^2 = -36
Solve the equation using inverse operations. Check your solutions. In you final answer, include all of your work.
Answer:
x = ±6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra II
Extraneous solutions and multiple answers/rootsStep-by-step explanation:
Step 1: Define
-x² = -36
Step 2: Solve for x
Divide -1 on both sides: x² = 36Square root both sides: x = ±6Step 3: Check
Plug in x to verify it's a solution.
Substitute in -6: -(-6)² = -36Exponents: -(36) = -36Multiply: -36 = -36Substitute in 6: -(6)² = -36Exponents: -(36) = -36Multiply: -36 = -36Here we see that both -6 and 6 do indeed work as solutions.
∴ x = ±6 are both solutions to the equation.