Given the average profits on the different cell phone models, the expected value of profit to be earned on all models is $57.55
How to find the expected value?The expected value of the profit on these models of cell phones can be found based on the number of customers who choose the model and the profit of that model.
The expected value of the profit on all the models is:
= ∑ ( percentage of customers x Profit per model)
= (Percentage of customers model A x Profit from model A) + (Percentage of customers model B x Profit from model B) + (Percentage of customers model C x Profit from model C) + (Percentage of customers old collection x Profit from old collection)
= (25% x 60) + (33% x 75) + (32% x 40) + ( (1 - 25% - 33% - 32%) x 50)
= $57.55
Options for this question are:
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Two trains are 525 miles apart heading toward each other on parallel tracks. Train A is traveling east at 30 miles per hour, while Train B travels west at 45 miles per hour. When will the trains pass each other?
The two trains will pass each other after 7 hours.
Both trains need to cover a distance of 525 miles before they cross each other.
We know, d = s × t
where d ⇒ total distance travelled
s ⇒ speed of the train
t ⇒ time taken for both trains to meet
For train A,
s = 30 miles per hour
Distance covered by train A in t hours = 30 × t
For train B,
s = 45 miles per hour
Distance covered by train B in t hours = 45 × t
As the total distance is 525 miles,
30t + 45t = 525
75t = 525
t = 7 hours
Hence, the trains will pass each other after 7 hours.
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There are 40 coins in a roll of nickels .there are 50 coins in a roll of dimes and 20 coins in a roll of half -dollars.alondra has 3 rolls of coins. she has a total of 90 coins. make an organized list to show all the combinations of coin rolls. what coins does alondra have?
Answer:
she has 2 half dollors and 1 dimes
Step-by-step explanation:
2 half dollors means 2x20=40 coins
1 dimes means 1x50=50 coins
when you total it you get 50+40=90
so it is 3 rolls and it totally has 90
if ratings on a measure of creativity contain nothing but random error, what would the reliability of that measure be?
50 would be the reliability of that measure by standard error.
What is the standard deviation?
The population mean and sample mean are likely to deviate from one another, and the standard error of the mean, or simply standard error, shows how likely this is. If a study were to be repeated using fresh samples drawn from a single population, it would be possible to calculate how much the sample mean would change.A measure that has no random error and no true score (i.e., is only random error) has zero reliability. A measure that has random error.
50 would be the reliability of that measure .
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each quiz in a course contains 15 questions. how many different ways could the questions on a given quiz be ordered?
The no. of ways could those question be ordered is 1307674368000 ways A combination is what?
When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.
The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.
Given
that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways = 1307674368000 ways The number of possible ways for those questions is 1307674368000.
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Are the slopes 0/3 and 9/0 perpendicular? Explain
The slopes 0/3 and 9/0 are not perpendicular .
In the question ,
the two slopes are given ,
the value of slope 1 (m₁) = 0/3
the value of slope2 (m₂) = 9/0 .
We know that the two slopes m₁ and m₂ are perpendicular is
m₁ × m₂ = -1 .
So , for the given values ,
On substituting the values of m₁ and m₂ ,
we get ,
= (0/3) × (9/0) ≠ -1
Since the product of the two given slope is not equal to -1 .
the slopes are not perpendicular .
Therefore , The slopes 0/3 and 9/0 are not perpendicular .
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a government agency wished to estimate the proportion of drivers aged 16-24 who have been involved in a traffic accident within the last year. the agency wished to make the estimate within one percentage point and at 90% confidence. find the minimum sample size required, using the information that, several years ago, the proportion was 0.12.
The required minimum sample size is 2875
Given that,
A government organization wanted to determine how many drivers between the ages of 16 and 24 had recently engaged in an accident. The agency wanted to make the estimate with a 90% confidence level and within one percentage point.
From the standard normal table, the z-critical value at 90% confidence is 1.65.
The information represent E = 0.01, p = 0.12 and z. =1.65 for finding sample size.
n = (Zc / E )² x P(1-P)
= (1.65 2x0.12(1 - 0.12)0.01
= 2874.96 ~ 2875
Hence, 2875 is the necessary number of samples, minimum.
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If x²y - 3x = y³ – 3, then at the point (-1,2), dy/dx=
now, the assumption in this implicit differentiation is that "y" is really a function in x-terms, whilst "x" is just a simple variable
[tex]x^2y-3x=y^3-3\implies \stackrel{product~rule}{\left( 2xy + x^2\cdot \cfrac{dy}{dx} \right)}-3=\stackrel{chain~rule}{3y^2\cdot \cfrac{dy}{dx}} \\\\\\ 2xy-3=3y^2\cdot \cfrac{dy}{dx}-x^2\cdot \cfrac{dy}{dx}\implies 2xy-3=\cfrac{dy}{dx}(3y^2-x^2) \\\\\\ \left. \cfrac{2xy-3}{3y^2-x^2}=\cfrac{dy}{dx} \right|_{(-1,2)}\implies \cfrac{2(-1)(2)-3}{3(2)^2-(-1)^2}\implies -\cfrac{7}{11}[/tex]
Find the area of the Polyogon below.
A =
12
14.49
Answer: 695.52
Step-by-step explanation:
The area of each triangle is [tex]\frac{1}{2}(12)(14.49)[/tex].
There are 8 triangles in the figure, so the area is [tex]8(1/2)(12)(14.49)=695.52[/tex].
A company orders 15 boxed lunches from a deli for $175.50. If each boxed lunch costs
the same amount, how much do 5 boxed lunches cost?
Answer: $58.50
Step-by-step explanation:
We will set up a proportion to help us solve.
[tex]\displaystyle \frac{15\; \text{boxed lunches}}{\$175.50} =\frac{5\; \text{boxed lunches}}{\$x}[/tex]
Next, we will cross-multiply.
15 * x = 175.5 * 5
15x = 877.5
x = $58.50
Is 4x + 7y divisible by 2?
⇒ Is 4x + 7y divisible by 2?⇔ This question simply is asking you if there is a possibility that you can take out the highest common factor of 2 in the expression 4x+7y.
⇒ We cannot take out the highest common factor of 2 in this expression since there is the term 7y that has the coefficient 7 which is NOT divisible by 2. the expression 4x+7y
cannot be written in the form a(b+c)
⇒∴ 4x + 7y is not divisible by 2
If you want me to clarify more in this question please say so as soon possible so that I can make time for you.
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An elevator can carry 28 adult or 30 children at one time during the course of the day the elevated acre carries a full passenger load 74 times all passengers were adults how many more people would the elevator carry then if all passengers were adults
The number of people the elevator would carry more if all passengers were children would be = 148 extra people.
What is an elevator?An elevator is defined as the machine that is being installed in tall buildings which helps to transport individuals either to slower level or a higher level of the building.
The number of adults the elevator can carry at a time = 28 adults.
The number of children the elevator can carry at a time = 30 children.
During the course of the day the total capacity of the elevator= 28 × 74 = 2,072.
The number of people the elevator would carry more if all the passengers where children would be;
30 × 74 = $2,220
2,220 - 2,072 = 148 extra people.
Therefore, the number of people the elevator would carry more if all passengers were children would be = 148 extra people.
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Convert the following
Answer:
Step-by-step explanation:
1.
4,000 mm to km = 0.004
4,000 mm to m = 4
4,000 mm to cm = 400
2.
12,000 km to m = 12000000
12,000 km to cm = 1.2e+9
12,000 km to mm = 1.2e+10
3.
5,800 m to km = 5.8
5,800 m to cm = 580000
5,800 m to mm = 5800000
4.
2 mm to km = 2e-6
2 mm to m = 0.002
2 mm to cm = 0.2
5.
40,108 to m = 40108000
40,108 to cm = 4010800000
40,108 to mm = 40108000000
Constant Speed Quick Check
Constant Speed Quick Check
Volunteers put together 40 school-supply kits in 8 minutes. At this rate, how many could they put together in 30 minutes
Solve this problem using a unit rate. (1 point)
O 150 school-supply kits
O 10.67 school-supply kits
O 6 school-supply kits
O 9,600 school-supply kits
6 school-supply kits can be put together in 30 minutes.
What do you mean by the Unitary method?
By using the unitary technique, we may determine the value of a single unit and, using that value, get the value of the necessary number of units.
According to the questions,
By applying the unitary method,
40 school supply kits can be put together in 8 minutes.
∴1 school supply kit can be prepared in (8/40) minutes
∴30 school supply kits can be prepared in (30/5) minutes
Hence,
6 school-supply kits can be put together in 30 minutes.
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Round 41.86632 off each number
to two (2) Decimal Place
Answer:
2 d.p = 41.87
Step-by-step explanation:
41.86/632
check whether its below or above 5 then round it to the nearest number
2 d.p = 41.87
Answer: 41.87
Step-by-step explanation:
41.86632 to 2 dp is 41.87
alexander was studying the effect of playing rock music on plant growth. one of the plants was exposed to rock music for 24 hours a day for a period of 6 weeks. data on the growth of the plant was collected at the end of each week and plotted in a graph. based on the data, which would be the most reasonable measurement at the end of an 8 week period?
Eight decimeters are the most logical measurement after eight weeks, according to the statistics.
A line is described as a collection of points that stretches in both directions indefinitely. It has a single-length dimension. Collinear points are points that are located on the same line. Two points form a line, which is shown below an arrowhead.
If a line intersects two spots [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the line's equation,
y - [tex]y_1[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex](x - [tex]x_1[/tex])
It is evident from the above graph that the line goes through points (0,0) & (1,1). Consequently, the trend line's equation is
y - 0 = [tex]\frac{1 - 0}{1 - 0}[/tex](x - 0)
y = x
To determine the most acceptable measurement after 8 weeks, change x = 8 in the equation above.
y = 8
After eight weeks, 8 decimeters are the most realistic measurement.
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The question is -
Alexander was studying the effect of playing rock music on plant growth. One of the plants was exposed to rock music 24 hours a day for 6 weeks. Data on the growth of the plant was collected at the end of each week and plotted in a graph, with time in weeks on the X-axis and height in decimeters on the Y-axis. Based on the data, which would be the MOST reasonable measurement at the end of 8 weeks?
A) 2 decimeters
B) 6 decimeters
C) 8 decimeters
D) 16 decimeters
The football team played 10 games and won 7 games. What was its winning percentage?
Answer: 70%
Step-by-step explanation:
Percentage is always out of 100. And 10x10 =100 so you do the same to 7 multiply it by ten then your answer is 70 which is 70%.
Decide if each question is statistical or nonstatistical.
How many hours did Rahul sleep last night?
What is your favorite sport?
What is Noya’s favorite book?
How far away do you live from your school?
Based on the information illustrated, the analysis implies the following:
a. nonstatistical.
b. statistical.
c. nonstatistical
d. statistical
What is a statistical question?A statistical question is one that can be answered by collecting varying amounts of data. A statistical question is one that does not have a single answer. Instead, you should expect a range of responses.
Identifying a statistical question necessitates knowledge of statistics. Statistics is a mathematical study that involves the collection, analysis, and interpretation of changing data. A statistical question will ask a question with a variable answer; data must be collected and analyzed, and the answer will provide an explanation of the information.
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statistical or nonstatistical What's the difference? is that statistical is of or pertaining to statistics while nonstatistical is not statistical.
Statistical sampling is more objective and uses probability to determine the appropriate sample size. While it is does not eliminate sampling risk, statistical sampling allows the auditor to measure sampling risk and take steps to control it. Nonstatistical sampling relies more on the auditor's judgment.
Thus, the correct answer is nonstatistical statistical nonstatistical statistical
In November's Math Meet, the Little Monsters of Beast Academy solved $\frac{1}{5}$ of the problems. In March's Math Meet, they solved $\frac23$ of the problems. (There might be different numbers of problems asked in November and March.)
In total, the Little Monsters solved $13$ of $30$ problems over both Math Meets. How many problems were asked at March's Math Meet?
The Little Monsters of Beast Academy completed 15 problems during the math meet in March.
How to calculate the total number of issues resolved in MarchThe issue is a simultaneous equation involving two equations and two unknowns.
These are the equations that are created:
Let the quantity of questions that the students at the Beast Academy have answered in
March be xNovember be yThe Little Monsters of Beast Academy successfully completed $frac1/5$ of the problems in the November = y/5
In Math Meet. they resolved $frac23$ = 2x/3 problems i
Hence:
y/5 + 2x/3 = 12
x + y = 30
When the equation is solved,
x = y = 15
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a coin is altered so that the probability that it lands on heads is less than 1 2 12 and when the coin is flipped four times, the probability of an equal number of heads and tails is 1 6 16. what is the probability that the coin lands on heads?
The probability that the coin lands on heads is D = (3±√3)/6
Probability is a branch of mathematics that studies the likelihood of a random event occurring. For example, when a coin is tossed into the air, the possible outcomes are Head and Tail.
Let x be the probability of flipping heads. As a result, the probability of flipping tails is 1- x.
The probability of flipping two heads and two tails is equal to the number of ways to flip it multiplied by the product of the probabilities
(4+2)x2(1-x)2 = 1/6
6x2(1-x)2 = 1/6
x2(1-x)2 = 1/36
x(1-x) = ±1/6
As for the desired probability x, both x and 1 - x are nonnegative, we only need to consider the positive root, hence
x(1-x) = 1/6
6x2 – 6x +1 = 1/6
Using the quadratic formula, we can determine that the roots of this equation are
(3±√3)/6
Therefore the probability that the coin lands on heads is D = (3±√3)/6
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the function when x = 3: b(x) = -2x-4
Answer: b(3)=-10
Step-by-step explanation:
Is this what you meant?
five people are to be seated around a circular table. two seatings are considered the same if one is a rotation of the other. how many different seatings are possible?
24 different seatings are possible when five people are to be seated around a circular table such that two seatings are considered the same if one is a rotation of the other.
What is fundamental counting principle?A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle. It asserts that if there are n ways to do something and then m ways to do something else, then there are nm methods to do both of these acts. The Fundamental Principle of Counting assists in determining how selection is made based on available options. The Fundamental Principle of Counting streamlines the method to choosing by taking into account all of the available options and their combinations in order to calculate the Probability.
Here,
Since there are 5 peoples,
let us fix the first person and remaining will be set according to that.
this can be arranged in,
(5-1)!=4!
=24 ways
When five persons are sitting around a circular table, 24 distinct seatings are available, with two seatings regarded the same if one is a rotation of the other.
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task 13: are the expressions equivalent? Simplify to prove, if the two expressions are not equal write the correct equivalence. #5: x(x+y+2) and x²+xy+2x #6: 2x(x+3) and 2x+6 distribute the following. 1. 3(x+2) 2. 4(y-1) 3. x(x+6) 4. x(y+4) 5. 3x(x+y-1)
Answer:
Step-by-step explanation: watch the video
Your broker charges you 2.5% commission on the market value of bonds you buy or sell. if you wish to buy a par value $1,000 bond from cuyahoga county with a market rate of 86.681, approximately how much will you owe your broker? a. $25.00 b. $21.67 c. $89.18 d. $27.17
The amount to be paid to the broker is 2167.025. Therefore option b is correct.
Percentage:
A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent, half of it is fifty percent, and none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.
Here we have to find the amount to pay to the broker.
The given values are:
Market rate = 86.681
The commission charges by broker = 2.5%
The broker has to pay = 86.681 × 2.5% × 1000
= 86.681 × 2.5/100 × 1000
= 86681 × 0.025
= 2167.025
Therefore the amount paid to the broker is 2167.025.
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Answer:
B
I got it right
Step-by-step explanation:
Describe the relationship between the point B (5,-3) and the point A (5,3) in terms of reflections.
Answer:
The point does not lie in the solution sets of the given system of inequalities
Step-by-step explanation:
We need to check whether the point (1,-5) is a solution to the system of inequality
We substitute x=1 and y=-5 into the top inequality:
. This is true
We substitute x=1 and y=-5 into the bottom inequality:
. This is false.
Since the point does not satisfy both inequalities, it is not a solution to the system of inequalities.
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What are the steps to writing the equation of a line, parallel
given line through a given point? Parallel lines have the _____ slope. Perpendicular lines have ____.
Answer:
parallel- same slope so the slope is 5, the slope will also be 5
perpendicular- reciprocal slope (if a whole # like 5, it goes to -1/5)
Step-by-step explanation:
The cost of the Gas is 11p for each unit
there is also a fixed charge of £25.57
calculate the cost of the gas
you must show your working
The cost of the gas will be equal to £67.81 p.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that,
Initial gas reading = 8247
Final gas reading = 8631
The total consumed gas is given by,
Final gas reading - Initial gas reading → 8631 - 8247 = 384
Since the cost of gas is 11p per unit we have, the total cost of the gas consumed is given by
Cost of consumed gas = Units of gas consumed × Unit cost of gas
= 384 × 11p = 4224 p
100 p ≡ £ 1
4224 p = £42.24 p
The total cost of the gs is obtained by adding the fixed charge to the cost of gas consumed as follows,
£25.57 + £42.24 = £67.81 p
The cost of the gas = £67.81 p
The complete question is given below,
The gas meter readings at the beginning and end of a period were: 8247 = 8631 the cost of the gas is 11p for each unit. there is also a fixed charge of £25.57. calculate the cost of the gas. you must show your working
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At football practice the coach ends practice with sprint drills. Starting at the endzone, players sprint to the 10 yard line and back, the 25 yard line and back, and finally the 50 yard line and back. How much ground in yards is covered if all 11 players complete the drill.
Answer:
Step-by-step explanation:
they will sprint 75 yard in total
Answer:
1870
Step-by-step explanation:
10 x 2 = 20
25 x 2 = 50
50 x 2 = 100
20 + 50 + 100 = 170
170 x 11 = 1870
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a salesman keeps 20% of his sales as a commission. how much does he have to sell to earn $1,000?
Answer:
He has to sell 5000 to earn $1000
Step-by-step explanation:
1000/0.2 = 5000
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The time taken by the rocket to reach its maximum height is 1.25 seconds and the maximum height is 32 feet.
Given equation:
h(t) = -16t^2+40t+7 and initial velocity is 40 feet per second and launching pad is 7 feet tall.
a = 1
t = -b/2a
= -40/2*-16
= -40/-32
= 40/32
= 1.25 seconds
h(2.5) = -16(1.25)^2+40*1.25+7
= -1.5625*16+50+7
= -25+57
= 32 feet.
Therefore The time taken by the rocket to reach its maximum height is 1.25 seconds and the maximum height is 32 feet.
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