Mike sells computers.
The table shows how many he sold each quarter over a three-year period.
Quarter 1 Quarter 2 Quarter 3 Quarter 4 TOTAL
2015
12
9
21
25
2016
15
10
17
19
2017
8
5
23
35
TOTAL
a) Complete the table.
b) In which year did he sell the most computers?
c) In which quarter did he sell the least computers?
Answers
Answer:
A. It's already done
B: 2017
C: Quarter 2 (2017)
Step-by-step explanation:
Total:
2015: 67 pc
2016: 61 pc
2017: 71 pc
A: Done
B: 2017
C: Quarter 2 (2017)
Related Questions
A helicopter heads due east at a speed of 9 kilometers per minute. A crosswind to the northwest
causes a change in the helicopter's direction and speed to 30° north of east at 7 kilometers per minute.
What are the components of the vector that describe the change in velocity?
V
AV
30°
V
(-1.7, 1.0
(-0.8, 4.5)
(-5.5, 6.1)
(-2.9, 3.5)
Done -
My Progress >
Answers
A vector is the change in the velocity of an object that is caused by crosswind. A helicopter's velocity vector, for example, can be divided into two components: a vertical one and a horizontal one.
The helicopter's velocity vector changes when a crosswind from the northwest hits it, causing it to move at a speed of 30° north of east at 7 kilometers per minute. To determine the components of the vector that describe the change in velocity, we must first calculate the horizontal and vertical components of the velocity vector. To calculate the horizontal component, we must first find the cosine of the angle. The vertical component is the sine of the angle. The horizontal and vertical components of the velocity vector are shown below: To solve the problem, let's first draw a diagram of the situation: Now, we'll calculate the components of the vector that describe the change in velocity. We'll use trigonometry to do this. Since the helicopter is initially moving due east, its initial velocity vector is V = (9,0) (9 kilometers per minute due east).The crosswind causes a change in the helicopter's direction and speed to 30° north of east at 7 kilometers per minute. The angle between the initial velocity vector and the new velocity vector is 30°. To find the new velocity vector, we need to find its horizontal and vertical components. To find the horizontal component, we use cosine: cos(30°) = √3/2. Therefore, the horizontal component of the new velocity vector is: 7 km/min * √3/2 ≈ 6.06 km/min. To find the vertical component, we use sine: sin(30°) = 1/2Therefore, the vertical component of the new velocity vector is: 7 km/min * 1/2 = 3.5 km/min. So, the new velocity vector is: V = (-6.06,3.5)
Therefore, the components of the vector that describe the change in velocity are (-6.06, 3.5) km/min.
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Difference of squares 10y^2-4x^2
Answers
Answer:
2(5y^2-2x^2)
Step-by-step explanation:
10y^2-4x^2
=2(5y^2-2x^2) (taking common 2)
As inflation increases, it causes the money you earn today to have __________.
more value in the future
less value in the future
more purchasing power in the future
no purchasing power effect in the future
Answers
Answer:
less valuable
Step-by-step explanation:
it will be reduced when time goes by
Rand will deprecate
PLS QUICK!!
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
Find the common domain of F and G.
{2, 4, 6}
{1, 4, 6, 8}
{0, 2, 4, 6}
Answers
Answer:
A. {2, 4, 6}----------------------
Domain is the set of the first points of ordered pairs.
The domain of F is:
{0, 2, 4, 6}and the domain of G is:
{2, 4, 5, 6, 7}The common domain of the both sets is:
{2, 4, 6}This is matching the option A.
Briefly describe the criterion used to obtain the ordinary least square estimator.
Answers
The criterion used to obtain the ordinary least square (OLS) estimator is to minimize the sum of the squared differences between the observed values and the predicted values.
In OLS, the goal is to find the line that best fits the given data points. The estimator minimizes the sum of the squared residuals, which are the differences between the observed values and the predicted values. The squared residuals are used to ensure that both positive and negative differences contribute to the overall error measure.
The OLS estimator achieves this by calculating the coefficients of the linear regression model that minimize the sum of the squared residuals. It finds the intercept and slope of the line that minimizes the total squared distance between the data points and the regression line. This minimization process is based on the principle of least squares, which aims to find the best-fitting line by minimizing the overall error.
By minimizing the sum of the squared residuals, the OLS estimator provides a measure of how well the regression line represents the data points. It allows for the determination of the line's slope and intercept, which can be used for predicting values and understanding the relationship between the variables.
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6.5 + m = 17
solve for m
Answers
Answer:
m=10.5
Step-by-step explanation:
For this equation you could do the long or simple way, I will be using the easier way, you can take the 17 and 6.5, subtract the 17 by the 6.5 and you get 10.5.
m=10.5
I hope that this has helped you, have an great day.
Answer:
the answer is 10.5
Step-by-step explanation:
so all you have to do is subtract 17 and 6.5 and that will give you 10.5
For positive constants A and B, the force between two atoms in a molecule is given by F(r) = A B + " r2 p3 where r> 0 is the distance between the atoms. What value of r minimizes the force between the atoms? Your answer will be a formula r = ... with A and B in the right-hand side. Explain why the determined value gives minimum (not maximum) to F.
Answers
The value of r that minimizes the force between the atoms is given by the formula \(r = (AB)^{1/6}\). This value ensures a minimum force between the atoms.
To find the value of r that minimizes the force F(r), we can differentiate F(r) with respect to r and set it equal to zero to find the critical points. Let's perform the differentiation:
\(F(r) = A(B + r^2)^{-3/2}\)
Using the chain rule, we have:
\(F'(r) = -3A(B + r^2)^{-5/2} * (2r)\)
Setting F'(r) equal to zero:
\(-3A(B + r^2)^{-5/2} * (2r) = 0\)
From this equation, we can see that F'(r) will be zero if r = 0 or if
\(B + r^2 = 0\).
However, r cannot be zero since it is stated that r > 0. Therefore, we focus on the equation \(B + r^2 = 0\):
\(r^2 = -B\)
Taking the square root of both sides:
r = ±√(-B)
Since B is positive, the square root of a negative number is not defined in the real number system.
Hence, r = ±√(-B) is not a valid solution.
Therefore, there are no critical points for F(r) within the given range. However, it is worth noting that as r approaches infinity, the force F(r) approaches zero.
Hence, the minimum force between the atoms occurs at the maximum value of r, which is infinity.
In conclusion, the formula \(r = (AB)^{1/6}\)gives the minimum force between the atoms.
The determined value gives a minimum rather than a maximum because there are no critical points for F(r) within the specified range, and as r increases, the force F(r) approaches zero, indicating a minimum force at the maximum value of r.
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The real exchange rate of Canada increased by 4.9% relative to US. Observing that Canada's inflation rate is 8.5% while the US inflation rate is 3.8%, what is the change in the nominal exchange rate (in Canada's perspective)? Round your answer to the nearest two decimal place. Write your answer in percentage terms so if your answer is 10%, write 10 .
Answers
The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.
Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.
Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada
= 4.9% Inflation of Canada
= 8.5% Inflation of US
= 3.8% Nominal Exchange Rate
= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate
= 4.9% x 1.085 / 1.038 Nominal Exchange Rate
= 5.3099 / 1.038 Nominal Exchange Rate
= 5.11 (rounded to two decimal places)
This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.
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HELP ME PLZZZ ASAP!
Factor to create an equivalent expression: 36a-16 .
Answers
Answer:
4(9a - 4)
Step-by-step explanation:
Answer:
4(9a - 4)
Step-by-step explanation:
Given
36a - 16 ← factor out 4 from each term
= 4(9a - 4)
Consider these four number lines of solutions. 4 number lines going from negative 5 to positive 5. Graph A: a point is at negative 4. Everything to the left of the point is shaded. Graph B: a point is at negative 4. Everything to the right of the point is shaded. Graph C: Points are at negative 4 and positive 4. Everything to the left of negative 4 and to the right of positive 4 is shaded. Graph D: points are at negative 4 and positive 4. Everything between the points is shaded. Which graph represents the solution to the inequality |k|StartAbsoluteValue k EndAbsoluteValue greater-than-or-equal-to 4? graph A graph B graph C graph D
Answers
Answer:
graph C
Step-by-step explanation:
Find the slope of the line that passes through (7, 10) and (5, 13).
Answers
Answer:
it is -3/2
Step-by-step explanation:
use rise/run or y/x to find slope. Start with the lower x value, so the run (movement on the x axis) is 2 so plug that in, rise/2. Fine the rise whish is -3, plug that in and you get -3/2
Explain please I don’t understand this!!!
At a raffle, 30 tickets are sold at $1 each for 3 prizes of $50, $10, and $5.
You buy 1 ticket. What is the expected value of your gain?
O -$2.50
O $1.27
O $2.07
O $1.17
Answers
The expected value of your gain is option D $1.17.
To find the expected value of your gain, we need to calculate the probability of winning each prize and multiply it by the prize value, then sum these values.
The probability of winning the first prize ($50) is 1/30, so the expected value of winning it is (1/30)($50) = $1.67. The probability of winning the second prize ($10) is also 1/30, so the expected value of winning it is (1/30)($10) = $0.33. The probability of winning the third prize ($5) is 1/30, so the expected value of winning it is (1/30)($5) = $0.17.
Thus, the expected value of your gain is the sum of the expected values of winning each prize, which is $1.67 + $0.33 + $0.17 = $2.17. However, since you spent $1 on the ticket, you need to subtract this from the expected value of your gain to find the net expected value.
Therefore, the answer is $2.17 - $1 = $1.17, which is option D.
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PLEASE HELP ASAP!!!!!
Select the correct answer.
А
А
5
6
6
6.6
SE
D
E
D
15
17.5
12
15
С
BC
figure 1
figure 2
A
4
5
5.5 / 6.6
DE
E
15
18
12
16
B
B
с
figure 3
figure 4
In which figure is DE|BC,
O A figure 1
OB. figure 2
Ос.
figure 3
OD
figure 4
Answers
If the ratio of the two sides of the triangles are the same then the third sides of the triangle will be parallel. Then the correct figure is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the ratio of the two sides of the triangles are the same then the third sides of the triangle will be parallel.
⇒ 5.5/15 = 6.6/18
⇒ 0.366 = 0.366
Then the correct figure is D.
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What is the value of x that makes m||n?
m
(9x+20) ° (4x +30)°
OA. 2
OB. 3
O C. 10
OD. 38
Answers
Graph the inequality -n_<-5
Answers
Answer:
See below
Step-by-step explanation:
This is just the same as n≤5, which would look like the attached number line.
a steamer sails 100 miles east and then 40 miles on a bearing of n60°e. how far is the steamer from its starting point, and at what angle has it traveled from its starting point? round your answer to the nearest thousandth.
Answers
how do i delete an answer?
In the ale the original price are reduced by 15%
a. Calculate the ale price of a book that ha an original price of $12
b. Calculate the original price of a jacket that ha a ale price of $38. 25
Answers
Answer:b
Step-by-step explanation:
what is the answer to this problem
Answers
Answer:
OPTION C
Step-by-step explanation:
\( \frac{1}{2} (x - \frac{3}{4} ) = \frac{5}{12} \)
\((x - \frac{3}{4} ) = \frac{5}{6} \)
\(x = \frac{3}{4} + \frac{5}{6} \)
\(x = \frac{9 + 10}{12} \)
\(x = \frac{19}{12}
\frac{3}{4} y - \frac{3}{2} = \frac{5}{2} \)
\( \frac{3}{4} y = 4\)
\(y = \frac{16}{3} \)
Use the Venn diagram to identify the population and the sample.A rectangular box reads, The income of home owners in a certain state, contains a smaller rectangular box that reads, The income of home owners in the state who own a car. The income of home owners in a certain stateThe income of home ownersin the state whoown a car
Answers
The population is represented by the larger rectangular box, which refers to the income of all home owners in a certain state. The sample is represented by the smaller rectangular box within the population, which specifies the income of home owners in the state who also own a car.
In this scenario, the Venn diagram is used to illustrate the relationship between the population and the sample. The larger rectangular box represents the population, which encompasses all home owners in a certain state. This includes individuals who own a car as well as those who do not own a car.
Within the population, there is a smaller rectangular box that represents the sample. This sample is a subset of the population and consists of home owners in the state who also own a car. It focuses on a specific group within the population, namely those who meet the criteria of being home owners and car owners.
The purpose of using a Venn diagram in this context is to visually demonstrate the relationship between the population and the sample. It shows that the sample is a part of the larger population, and it helps to differentiate the specific subset of individuals being considered.
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Thirty-two percent of the students in a management class are graduate students. A random sample of 5 students is selected. Using the binomial probability function (formula), determine the probability that the sample contains exactly 2 graduate students
Answers
Using the binomial probability function formula, the probability that the sample contains exactly 2 graduate students is 0.215.
The probability that the sample of 5 students contains exactly 2 graduate students using the binomial probability function can be determined by using the formula below:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
where n is the sample size, k is the number of successes, p is the probability of success, and (n choose k) = n! / (k! * (n - k)!) denotes the number of ways to choose k items from a set of n items.
Using the formula above and the information given, the probability of the sample containing exactly 2 graduate students can be calculated as follows:
P(X = 2) = (5 choose 2) * (0.32)² * (1 - 0.32)^(5 - 2) = 0.215
Where (5 choose 2) = 5! / (2! * (5 - 2)!) = 10 is the number of ways to choose 2 graduate students from a sample of 5 students.
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a²- b² =
a² + b² =
(a + b)³ =
Answers
Answer:
a²- b²=(a+b)(a-b)
a² + b²=(a+b)²-2ab or (a-b)²+2ab
(a + b)³=a³+3a²b+3ab²+b³ or, a³+b³+3ab(a+b)
2. The length of a rectangular garden is
twice its width. If the given perimeter
is 72 m, calculate the width and area of
the rectangle.
cimeter
722
Answers
1 year and 240 days into ratio and reduced into the simplest form
Answers
Refer to the attachment please :-)
After simplifying and reducing the given figures that are 1 year or 365 days and 240 days into ratio, the digits are 73:48.
What is a ratio?A ratio divides two amounts into equal parts, with the dividend or antecedent serving as the unit of comparison and the divisor or unit of comparison serving as the unit of comparison.
A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit.
The proportions of oranges to the overall amount of fruit are 8:14 for oranges and 6:8 for lemons, respectively. When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b.
An equation in which two ratios are made equal is known as a percentage. As per the given data,
1 year = 365 days
And there is 240 days also. After solving and reducing it to the simplest form, the calculations are-
365 / 240 = 73 / 48 or 73 : 48
Therefore, after simplifying and reducing the given figures that are 1 year or 365 days and 240 days into ratio, the digits are 73:48.
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Develop the B&B tree for each of the following problems. For convenience, always select x₁ as the branching variable at node 0. Maximize z = 3x₁ + 2.8% subject to 2x + 5.x₂ = 18 4.x₁ + 2x₂ = 18 X₁, X₂0 and integer
Answers
To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:
1. Start with the initial B&B tree, where the root node represents the original problem.
2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for
\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)
3. At each node, perform the following steps:
- Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.
- If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.
- If the LP solution is integer, update the current best solution if the objective value is higher.
- If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.
4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.
5. The node with the highest objective value among the integer feasible solutions is the optimal solution.
6. Optionally, backtrace through the tree to retrieve the optimal solution variables.
Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.
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Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Gazebo blend with the Ethiopian blend, but always in the same proportion. Yesterday, you mixed 70 pounds of the Gazebo blend with 14 pounds of the Ethiopian blend. Today, there is 30 pounds of the Gazebo coffee left in stock. How many pounds of the Ethiopian coffee should you mix with it to get your secret blend?
Answers
You should mix 6 pounds of the Ethiopian blend with the remaining 30 pounds of the Gazebo blend to get your secret blend.
To maintain the same proportion between the Gazebo blend and the Ethiopian blend, we can set up a ratio based on the amounts used yesterday:
Gazebo blend : Ethiopian blend = 70 pounds : 14 pounds
Simplifying the ratio, we have:
Gazebo blend : Ethiopian blend = 5 : 1
This means for every 5 pounds of the Gazebo blend, we need 1 pound of the Ethiopian blend.
Today, we have 30 pounds of the Gazebo blend left in stock. To determine how many pounds of the Ethiopian blend should be mixed with it, we can use the ratio:
30 pounds (Gazebo blend) : x pounds (Ethiopian blend) = 5 : 1
Simplifying the equation, we have:
30 / x = 5 / 1
Cross-multiplying:
5x = 30
Dividing both sides by 5:
x = 6
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Write the standard form given the slope and y-intercept.
*
Slope = 1, y-intercept = -5
Answers
Answer:
Step-by-step explanation:
y + 5 = x - 0
y = x - 5
What are the more appropriate measures of center and spread for this data set?
Select two choices: one for the center and one for the spread.
A. Better measure of spread: the standard deviation
B. Better measure of center: the mean
C. Better measure of center: the median Pan
D. Better measure of spread: the interquartile range (IQR)
Answers
Answer:
C. Better measure of center: the median
D. Better measure of spread: the Interquartile range
Use polar coordinates to calculate the area of the region. R = {(x, y) | x2 + y2 ≤ 25, x ≥ 4}
Answers
The area of the region R = {(x, y) | x² + y² ≤ 25, x ≥ 4} using polar coordinates is 7π square units.
To calculate the area, first, we need to convert the given equations into polar coordinates. The equation x² + y² ≤ 25 becomes r² ≤ 25, which simplifies to 0 ≤ r ≤ 5. The equation x ≥ 4 can be written as r*cos(θ) ≥ 4. Solving for θ, we get 0 ≤ θ ≤ 2π/3 and 4π/3 ≤ θ ≤ 2π.
Now, use the polar area formula: A = 0.5 * ∫(r² dθ). Integrate r²/2 from 0 to 2π/3 and from 4π/3 to 2π, then multiply by the limits' difference. Finally, add the two areas to find the total area of the region, which is 7π square units.
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21. remember mr. bean riding his motor scooter and lawn mower? assume hill-billie bean is on his lawnmower
at his house. 1 kilometer away is biker bean riding his motor scooter towards hill-billie bean to play chicken.
assume the lawnmower is traveling at 5 km/hour, and the scooter is traveling at 15 km/h.
a. identify the two variables to be used and what they represent.
b. create an equation that represents the distance traveled by hill-billie bean (assume the starting point is his
house).
c. create an equation that represents the distance traveled by biker bean. hint: the motor scooter is getting
closer to the house, so this affects the rate of change.
d. how much time will pass until they run into each other?
e.how far will the lawnmower travel?
Answers
The lawnmower will travel 1/4 km before they meet.
a. The two variables to be used are t (time) and d (distance). They represent the time it takes for the two to meet and the distance between them.
b. The equation for hill-billie bean is d = 5t, since the lawnmower is traveling at 5 km/hour.
c. The equation for biker bean is d = 1 - 15t, since the motor scooter is traveling at 15 km/h and getting closer to the house.
d. To find the time it takes for them to meet, we need to set the two equations equal to each other and solve for t.
5t = 1 - 15t
20t = 1
t = 1/20 hours
Therefore, it will take 1/20 hours for them to meet.
e. The lawnmower will travel 5 km in 1/20 hours. To calculate this, we can use the equation d = 5t, where t is 1/20.
d= 5(1/20)
d = 1/4 km
Therefore, the lawnmower will travel 1/4 km before they meet.
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PLEASE HELP MEH 2I will do anything :(
Answers
Answer:
C = 125
Step-by-step explanation:
Since a straight line is 180 degrees. We can conclude that:
10x + 15 + 5x = 180
And that:
C = 10x + 15
First we need to find the value of x to find C. So,
10x + 15 + 5x = 180
15x + 15 = 180
- 15 -15
15x = 165
15x/15 = 165/15
x = 11
So now, we need to substitute the values of x into C and solve it.
C = 10(11) + 15
= 110 + 15
= 125