Answer:
30
Step-by-step explanation:
3mn=3x5x2=30
The assistant manager of a surf shop estimates that 65% of customers will make a purchase.
Part A: How many customers should a salesperson expect until he finds a customer that makes a purchase?
Part B: What is the probability that a salesperson helps 3 customers until he finds the first person to make a purchase?
Using the binomial distribution, we have that:
A. The salesperson should expect 1.54 customers until he finds a customer that makes a purchase.
B. There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The expected number of trials until q successes are found is:
[tex]E(X) = \frac{q}{p}[/tex]
In this problem, the probability of a success is of p = 0.65, hence:
[tex]E(X) = \frac{1}{0.65} = 1.54[/tex]
The salesperson should expect 1.54 customers until he finds a customer that makes a purchase.
The probability is p = 0.65 multiplied by P(X = 0) when n = 3, hence:
0.65 x (0.35)³ = 0.0279.
There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.
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Which of the following rational functions is graphed below?
Find the unknown angle x in each of the following figures.
a. x = 120°
b. x = 88°
c. x = 146°
Determining the value of x
A. We have that x and angle 80° as shown in the diagram is on a straight
Angles on a straight line = 180°
Then,
x + 80° = 180°
Make 'x' subject
x = 180° - 80°
x = 100°
B. From the diagram, we can see that 'x' at ∠BCD is alternate to ∠EDC which is 88°
It is important to note that alternate angles are equal
Then,
x = 88°
C. From the diagram, we can see that 'x' at CDE is on a straight line with ABC
Angles on a straight line are equal
Then,
x + 34° = 180°
Make 'x' subject of formula
x = 180° - 34°
x = 146°
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Helpp plleeaaseee!!!!!!
Answer:
Step-by-step explanation:
255 people
Which of the following are geometric sequences? This homework assignment is confusing.
Which equation represents a line that passes through (2,-) and has a slope of 3?
Oy - 2 = 3(x+2)
Oy - 3 = 2(x+1)
Oy+==3(x-2)
Oy + = = 2(x − 3)
Save and Exit
Answer:
y + 1/2 = 3(x - 2)
Step-by-step explanation:
We have to think about this question in point-slope form, which is a form that explicitly gives us the slope of the line and a single point that it passes through. Point-slope form looks like this: y - y1 = m(x - x1), where m is the slope and (x1,y1) is a point that the line goes through. We are given that the line goes through (2, -1/2) which means x1 = 2 and y1 = (-1/2). We are also given that the slope is 3. We can plug these quantities into the equation to solve:
y - (-1/2) = 3(x - 2) OR y + 1/2 = 3(x - 2)
The equation of the line is y + 1/2 = 3(x - 2).
The correct option is (3).
What is slope?The slope of a line indicates its direction and steepness. Finding the slope of lines in a coordinate plane can help predict whether the lines are parallel, perpendicular, or have no relationship at all without actually using a compass.
As per the given data:
We have to find out the equation of the line that passes through (2, -1/2) and has a slope of 3.
As we know a point at the slope of the line, we can use the point slope form:
[tex]y - y_1 = m(x-x_1)[/tex] , where m is the slope and [tex](x_1, y_1)[/tex] is the point through which the line passes.
y - (-1/2) = 3(x - 2)
y + 1/2 = 3(x - 2)
The equation of the line is y + 1/2 = 3(x - 2).
Hence, The equation of the line is y + 1/2 = 3(x - 2).
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PLEASE HELP ASAP
Find the equation of the line.
y =
1
1×-8
Enter
Answer:
the Slope: 11
the y-intercept: (0, - 8) x y
0 -8
1 3
Step-by-step explanation:
Answer:
[tex]y=\frac{11}{8}x+\frac{1}{2}[/tex]
I need the answer please. solve for b
The Pythagorean theorem is [tex]a^2+b^2=c^2[/tex], where a and b are two legs of a right triangle and c is the hypotenuse (the longest side).
Solving the QuestionWe're given a triangle with the following:
One of the legs measure 2 unitsThe other leg measures b unitsThe hypotenuse is 6 units longWe can plug these values into the Pythagorean theorem as a, b and c:
[tex]a^2+b^2=c^2\\2^2+b^2=6^2[/tex]
Now, isolate b:
[tex]b^2=6^2-2^2\\b=\sqrt{6^2-2^2}\\b=\sqrt{36-4}\\b=\sqrt{32}[/tex]
Answer[tex]b=\sqrt{32}[/tex]
HELP ASAP
Given: ABCD is a parallelogram.
Prove: A is congruent to FCE.
Answer:
Step-by-step explanation:
Hi!
A is congruent to angle C. Because angle FCE is on the other side of the angle C which is equal to A, angle FCE has to equal A
The length of the boundary of a polygon is called its perimeter.
The lengths of the sides of the figure above are given in metres. What is y if the perimeter of this figure is 27 m?
The value of y if the perimeter of the figure is 5y is 15meters.
How to find the perimeter of a polygon?The perimeter of a polygon is the sum of the length of the whole sides.
Therefore,
perimeter = y + 2y + 30
perimeter = 5y
Hence,
5y = 3y + 30
5y - 3y = 30
2y = 30
divide both sides by 2
2y / 2 = 30 / 2
y = 15
Therefore, the value of y is 15m.
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Use synthetic division to find the expression for the area of the base of a rectangular prism with height x 4 and volume x3 2x2 – 17x – 36.
Hence, the area of base is [tex]x^2 - 2x - 9[/tex]
What is division?Division in maths is breaking a number into equal parts and finding out how many equal parts can be made.
How to solve?The volume of a rectangular prism is,
Volume = Area x Height
Substituting the given expressions,
[tex]x^3 + 2x^2 - 17x - 36 = Area x (x + 4)[/tex]
Area = [tex](x^3 + 2x^2 - 17x - 36) / (x + 4)[/tex]
Now, let's use synthetic division,
-4 | 1 2 -17 -36
---- __-4___8___36
1 -2 -9 0
The expression for the area is [tex]x^2 - 2x - 9[/tex]
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To be able to buy a new computer, kaitlin decides to save for 4 years. she opens a savings account with $500. the account pays simple interest at an annual rate of 2%. she doesn't make any more deposits. how much total interest will kaitlin earn?
The total interest for 4 years with a principal amount of $500 and a rate of 2% is $40.
What is the formula for simple interest?The formula for the simple interest is,
I = PTR
where
I is the interest, P is the principal amount, T is the period, and R is the rate of interest.
Calculation:The given data is,
Kaitlin wants to save $500 in her savings account. I.e., P = $500
For 4 years i.e., T = 4 years and the rate R = 2% i.e., R = 0.02
Then,
the total interest for 4 years with no more deposits is
I = PTR
= $500 × 4 × 0.02
= $40
Therefore, the total interest that Kaitlin will earn for 4 years is $40.
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A store sells 7 different types of envelopes and 6 different types of postage stamps. How many different combinations are tehre to buy an envelope and stamp?
You can by 42 combinations of items from the store
How to determine the number of combination?The given parameters are:
Envelop = 7
Stamp = 6
The number of combination is:
Combination = Envelop * Stamp
So, we have:
Combination = 7 * 6
Evaluate
Combination = 42
Hence, you can by 42 combinations of items from the store
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Create your own games fair game with 4 or more outcomes using a binomial situation presented in this lesson (simulated with a spinner or random number) and adjust the point values so that a cost of 10 points would make the game profitable. be sure to justify why it is profitable and explain the process it took to find profitable outcomes.
The game is profitable since the payout is always less than what you earn.
Given that a fair game with 4 or more outcomes using a binomial situation presented in this lesson (simulated with a spinner or random number) and adjust the point values the so cost of the 10 points will make the game profitable.
Let's discuss the Lucky 7 game
The game is played with the two fair dice rolls.
You put your money on either of 3 things: Above 7, Lucky 7 or below 7
The game below is designed in Excel:
Each cell formula to generate the game:
They are 36 possible outcomes.
7 is the most likely number coming up
6/36=1/6
of the time.
Thus the expected value of the bet is:
(5/12)x₂+(5/12)x₂+(1/6)x₃=26/12
Which, of course, can not make any sense. so, the good idea from the standpoint of the bank is to pay two times on only one of the two possibilities, not a seven, and to give the bet back on the 7. This then gives:
(5/12)x₂+(5/12)x₀+(1/6)x₁=12/12=1
Which is a perfectly fair game.
Of course, the bank wouldn't approve either, so we probably need more restrictions. The way 7 comes out is: 2 ways for each case, (1,5), (2,5), (3,4), then a constraint like not to pay on (5,1) would be added.
Then the 7 returns the money
4/36 = 1/9.
The new case then yields:
(5/12)x₂+(5/12)x₀+(1/9)x₁=34/36=17/18
This says that for every $18 handled in bets the bank expects to pay out $17.
Hence we can say that the game is profitable since the payout is always less than what you earn.
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Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
323. (c − 5)(c + 5)
Answer:
The product is the difference of squares is [tex]$$\left(c-5\right)\left(c+5\right)={{c}^2}-25$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (c-5)(c+5).We have to multiply the given expression.Square the first term c. Square the last term 5 .[tex]$$\begin{aligned}&(c-5)(c+5)=(c)^{2}-(5)^{2} \\&(c-5)(c+5)=c^{2}-25\end{aligned}$$[/tex]
5
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
4m5n2
m²n
OA 64m9n3
OB. 64m135
OC. 12m6n4
OD. 12m21n9
Answer:
OC
Step-by-step explanation:
4×3=12m
5+1=6n
4÷1=4
Julissa is printing out copies for a work training. it takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. she needs to print no fewer than 8 copies within 25 minutes. which system of inequalities represents the number of color copies, x, and grayscale copies, y, that julissa can print to meet her goal? a. 2x 4y ≤ 25 x y ≥ 8 b. 4x 2y ≥ 25 x y ≥ 8 c. 4x 2y ≤ 25 x y ≤ 8 d. 4x 2y ≤ 25 x y ≥ 8
The system of inequalities represents the number of color copies, x, and grayscale copies, y, that julissa can print to meet her goal is;
x + y ≥ 8
x + y ≥ 84x + 2y ≤ 25
Inequalitylet
Number of color copies = xNumber of grayscale copies = yTime to print color copies = 4 minutesTime to print grayscale copies = 2 minutesTotal copies = 8Total time = 25 minutesx + y ≥ 8
4x + 2y ≤ 25
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i would like to have an answer for this thanks!
The final amount of the compound interest after 6 years would be $ 294, 122, 500
How to determine the final amount
The formula for the final amount is given as;
[tex]A = P( 1 + \frac{r}{n}) ^n^t[/tex]
Where
A = final amount
P = principal interest
r = interest rate
n = number of times
t = time of periods
We have,
A = [tex]2500[/tex] [tex]( 1 + \frac{6}{1}) ^1^*^6[/tex]
A = [tex]2500 ( 7)^6[/tex]
A = [tex]2500[/tex] × [tex]117, 649[/tex]
A =$ [tex]294, 122, 500[/tex]
Thus, the final amount of the compound interest after 6 years would be $ 294, 122, 500
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Which of the following expressions are equivalent to -0.5(1.7+1.7)−0.5(1.7+1.7)minus, 0, point, 5, left parenthesis, 1, point, 7, plus, 1, point, 7, right parenthesis? Choose all answers that apply: Choose all answers that apply: (Choice A) A -0.5\cdot1.7-0.5\cdot 1.7−0.5⋅1.7−0.5⋅1.7minus, 0, point, 5, dot, 1, point, 7, minus, 0, point, 5, dot, 1, point, 7 (Choice B) B 2(-0.5)(1.7)2(−0.5)(1.7)2, left parenthesis, minus, 0, point, 5, right parenthesis, left parenthesis, 1, point, 7, right parenthesis (Choice C) C None of the above
The expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)
and 2(-0.5(1.7))
Distributive law of expansionGiven the expression below;
-0.5 (1.7 + 1.7)
According to the distributive law;
A(B+C) = AB + AC
Expand
-0.5(1.7) + (-0.5)(1.7)
-0.5(1.7) - 0.5(1.7)
2(-0.5(1.7))
Hence the expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)
and 2(-0.5(1.7))
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12. a) Solve the following|x-1|<2.
Work Shown:
| x-1 | < 2
-2 < x-1 < 2 ... see note1 below
-2+1 < x-1+1 < 2+1 ... see note2
-1 < x < 3
Note1: use the rule that |x| < k turns into -k < x < k for some positive real number k.Note2: Add 1 to all sides to isolate xUnited and city are playing each other in the final. it has been calculated that the probability of united winning is three fifths. what is the probability of united not winning?
The probability of not winning of united is [tex]\frac{2}{5}[/tex] .
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given that the probability of winning of united is [tex]P(A)=\frac{3}{5}[/tex] .
Usually, we take the total probability is 1
So, the probability of not winning of united is [tex]1-\frac{3}{5}[/tex]
[tex]=\frac{5-3}{5}\\=\frac{2}{5}[/tex]
Therefore, the probability of not winning of united is [tex]\frac{2}{5}[/tex] .
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On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) and (negative 2.5, negative 6). Quadrilateral Q prime R prime S prime T prime has points (negative 1, 2), (1, 2), (0.5, 0), and (negative 1.5, 0).
Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?
Based on the calculations, the scale factor for this dilation is equal to 1/3.
How to determine the scale factor for this dilation?First of all, we would use the distance formula to find the length of side QR and Q'R' as follows:
Distance = √[(x₂ - x₁)² - (y₂ - y₁)²]
Substituting the given points into the formula, we have;
Distance QR = √[(5 - (-1))² + (0 - 0)²]
Distance QR = √[(5 + 1)² + (0)²]
Distance QR = √[6² + 0]
Distance QR = √36
Distance QR = 6 units.
For side Q'R', we have:
Distance Q'R' = √[(1 - (-1))² + (2 - 2)²]
Distance Q'R' = √[(1 + 1)² + (0)²]
Distance Q'R' = √[2² + 0]
Distance Q'R' = √4
Distance Q'R' = 2 units.
Now, the scale factor for this dilation is given by:
Scale factor = Q'R'/QR
Scale factor = 2/6
Scale factor = 1/3.
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Answer:
Step-by-step explanation:
its 1/3
help i have only 5 min
Answer:
375
Step-by-step explanation:
Since they started at the same point and went in opposite directions, add the 2 distances.
162.5 + 212.5 = 375
Margo is 8 years older than her brother Dan. The sum of their ages is 56. How
old is Dan?
Answer:
dan is 24
I had to redo this one
The age of Margo and Dan will be 32 years and 24 years, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Margo is 8 years older than her brother Dan. The sum of their ages is 56.
Let M be the age of Margo and D be the age of Dan. Then the equations are written as,
M = D + 8 ...1
M + D = 56 ...2
From equations 1 and 2, then we have
D + 8 + D = 56
2D + 8 = 56
2D = 56 - 8
2D = 48
D = 48 / 2
D = 24 years
Then the age of Margo will be given as,
M + 24 = 56
M = 56 - 24
M = 32 years
The age of Margo and Dan will be 32 years and 24 years, respectively.
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An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
What is the largest possible volume of the box?
The largest possible volume of the box is x²y
How to determine the volumeIt is important to note that the given figure is a rectangle
Area of the box is given as 100 square feet
Formula for volume of a rectangle
Volume = length × width × height
Length = x
Width = x
Height = y
Substitute the values in the formula
We have;
Volume = x × x × y
Volume = x²y
Thus, the largest possible volume of the box is x²y
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What is the solution to the equation 3√x+4+3/2x+8 = 0?
Ox=-12
Ox= -4
x = 4
O x = 12
Answer:
-4
Step-by-step explanation:
A group of computer engineers secured a loan to fund a new startup in Silicon Valley. The bank gives them a loan in the amount of 1.8one point eight million dollars. The engineers estimate that their business will be able to make a profit of approximately $0.6zero point six million per year. They keep track of their debts, profits, and overall financial status on a balance sheet. They enter the debt as a negative value and all profits as positive values.
Define a unit for the amount of time since the company began. Enter a variable for the amount of time since the company began and use this variable to write an expression for the expected financial status.
What was the financial status of the company when it began?
If the estimates were correct, how many years was it before the financial status of the company was 11.4eleven point four million dollars?
After completing the worksheet, graph your model.
It will take the company 20.3 years to have a financial worth of $11.4
The unit of the amount of timeThe estimate of profit is given as;
Profit = $0.6 million per year
This means that the engineers based their estimate per year
Hence, the unit of time is year
The variable of the amount of time
To do this, we make use of any variable of our choice.
In this case, we let x represents the variable of the amount of time.
Expression for the expected financial statusIn (a), we have:
Profit = $0.6 million per year
So, the expected financial status is 0.6x
The financial status of the company when it beganThis is the amount taken as loan by the engineers.
So, the financial status at the beginning is 1.8
Years to attain the financial status of $11.4 million?Using the expressions above, we have the yearly worth to be:
y = 0.6x - 1.8
When the financial status is $11.4 million, we have:
0.6x - 1.8 = 11.4
Evaluate the like terms
0.6x = 12.2
Divide both sides by 0.6
x = 20.3
Hence, it will take the company 20.3 years to have a financial worth of $11.4
The graph of the modelSee attachment for the graph of y = 0.6x - 1.8
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Given the circle below, find QR.
Answer:
QR=17
Step-by-step explanation:
[tex](12)(x-2)=(3)(3x-1)\\12x-24=9x-3\\3x-24=-3\\3x=21\\x=7[/tex]
[tex]x=7\\\\QR=12+x-2\\=12+(7)-2\\QR=17[/tex]
help pls correct answer will ger brainliest
Answer:
See Below
Step-by-step explanation:
Since they are lines, and if two lines have angles that are congruent, then it has to be perpendicular. Angles sum up to 180, and since they are equal, it is 90.
what is y= (x+2) ^2 vertex, axis of symmetry, direction of opening, max or min and y intercept
Answer:
Vertex: (-2, 0)
Axis of symmetry: x = -2
Direction of opening: Upwards
Min: 0
Y-intercept: 4
Step-by-step explanation:
Let us graph this line, and then pull out the details we need. See attached.
What do all of these different things mean?
Vertex: This is where the graph intercepts the axis of symmetry (x = -2, see below) and is at point (-2, 0) for this graph.
Axis of Symmetry: This is the line that the graph is symmetrical across. The "center" of the graph. Here, it is x = -2.
Direction of Opening: The direction that the graph is going/opening towards. In this case, it is upwards.
Min: The minimum (in this case) value, the lowest y-coordinate. This is 0 here.
Y-intercept: The point at which the line intercepts the y-axis. This is 4 here.