(b) a telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 6 to 13. what is the probability of a successful call? (round your answer to two decimal places.)
Probability of a successful call 0.3157 = 31.57%
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will learn the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 6 to 13.
This means that in 6+13 = 19 calls, 6 are successful.
What is the probability of a successful call?
p = 6/19 =
0.3157 = 31.57% probability of a successful call.
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a product requires 24 separate tasks, and the sum of those task times is 14 minutes. if the cycle time is 2 minutes, then at least 12 workstations will be needed.
7 workstations will be needed to complete the 24 separate tasks.To determine the number of workstations needed, we can divide the total task time by the cycle time.
In this case, the total task time is 14 minutes and the cycle time is 2 minutes.
Number of workstations needed = Total task time / Cycle time
Substituting the given values:
Number of workstations needed = 14 minutes / 2 minutes
This simplifies to:
Number of workstations needed = 7
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I got a 9.5 out of 15 on a quiz, what's my grade? (percentage)
Answer:
63%
Step-by-step explanation:
9.5/15
hope this helps
your grade is a %63.333333333333
if the cost per unit is to produce x units of plywood. find the average cost of producing 400 units.
To find the average cost of producing 400 units of plywood, we need information about the cost function. If we have the cost function per unit, we can calculate the total cost of producing 400 units and then divide it by 400 to find the average cost per unit.
Let's assume the cost function for producing x units of plywood is given by C(x), where C(x) represents the cost in dollars. We can then calculate the total cost of producing 400 units as follows:
Total Cost = C(x) * Number of Units
Total Cost = C(400) * 400
Once we have the total cost, we can find the average cost per unit by dividing the total cost by the number of units:
Average Cost per Unit = Total Cost / Number of Units
Average Cost per Unit = (C(400) * 400) / 400
Average Cost per Unit = C(400)
Therefore, to find the average cost of producing 400 units, we need to know the cost function C(x) specifically for producing 400 units of plywood. Without that information, we cannot provide an exact value for the average cost.
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If the cost per unit is to produce x units of plywood. find the average cost of producing 400 units.
hello help please i’ll give brainliest
Answer:
Erosion by groundwater.
Step-by-step explanation:
Sinkholes are formed when groundwater dissolves rocks underneath the land surface.
Answer:
Erosion of groundwater because the water goes through the rock and "weekends" them into collapsing. Almost like tripping if you will.
Step-by-step explanation:
it won't let me type it out but hurry ahhh
Answer:
its either got to be c or b but id go with the one that you thank it is
Step-by-step explanation:
Find the angle of CD. Round to the nearest tenth. 12.7 cm 45.5° 9/06 cm mCD= [?]°
Using the information in the diagram, the measure of \(\overset{\LARGE\frown}{CD}\) is 89.0°
Calculating the angle subtended by an arcFrom the question, we are to determine the measure of \(\overset{\LARGE\frown}{CD}\)
Consider the right triangle
The measure of \(\overset{\LARGE\frown}{CD}\) is twice the measure of the unknown angle
Let the unknown angle in the right triangle be x
∴ The measure of \(\overset{\LARGE\frown}{CD}\) = 2x
Then,
x + 90° + 45.5° = 180° (Sum of angles in a triangle)
x = 180° - 90° - 45.5°
x = 44.5°
Thus,
The measure of \(\overset{\LARGE\frown}{CD}\) = 2×44.5°
The measure of \(\overset{\LARGE\frown}{CD}\) = 89°
Hence, the measure of \(\overset{\LARGE\frown}{CD}\) is 89.0°
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I need help please please
plot four different points whose -coordinates are half their -coordinates. do these points lie on a line?
The four points with y-coordinates half their x-coordinates are (0,0), (2,1), (4,2), and (6,3). These points do lie on a line, as they all satisfy the linear equation y = x/2.
To plot four points whose y-coordinates are half their x-coordinates, we can choose any four values of x and then compute the corresponding values of y using the equation y = x/2. For example
If x = 0, then y = 0/2 = 0, so the first point is (0,0).
If x = 2, then y = 2/2 = 1, so the second point is (2,1).
If x = 4, then y = 4/2 = 2, so the third point is (4,2).
If x = 6, then y = 6/2 = 3, so the fourth point is (6,3).
We can plot these points on a coordinate plane
As we can see from the plot, the four points do lie on a straight line. This is because the equation y = x/2 is the equation of a linear function with slope 1/2 and y-intercept 0. Therefore, any two points on this line will have a constant slope between them, and thus the four points will be collinear.
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7. in a certain microwave oven on the high power setting, the time it takes a randomly chosen kernel popcorn to pop is normally distributed with a mean of 140 seconds and a standard deviation of 25 seconds. a) what is the probability that the time required to pop is greater than 120 seconds?
Can someone please tell me how to solve this problem??!! I literally have to go back in math if I don’t pass this HELP!!
Answer:
D. 270° < φ < 360°Step-by-step explanation:
Imagine coordinate system
I quarter is where x>0 and y>0 {right top} and it is (0°,90°)
II quarter is where x<0 and y>0 {left top} and it is (90°,180°)
III quarter is where x<0 and y<0 {left bottom} and it is (180°,270°)
IV quarter is where x>0 and y<0 {right bottom} and it is (270°,360°)
Now, we have an angle wich vertex is point (0,0) and one of its sides is X-axis and the second lay at one of the quarters.
For the trig functons of an angle created by this second side always are true:
In first quarter all functions are >0
in second one only sine
in third one: tangent and cotangent
and in fourth one: cosine
{You can check this by selecting any point on the second side of angle and put it's coordinates to formulas of these functions:
\(\sin \phi=\dfrac y{\sqrt{x^2+y^2}}\,,\quad \cos \phi=\dfrac x{\sqrt{x^2+y^2}}\,,\quad \tan\phi=\dfrac yx\,,\quad \cot\phi=\dfrac xy\) }
So:
sinφ<0 ⇒ III or IV quarter
tanφ<0 ⇒ I or IV quarter
IV quarter ⇒ φ ∈ (270°, 360°)
how many gallons of 35 % alcohol solution and 50 % alcohol solution must be mixed to get 12 gallons of 40 % alcohol solution?
Answer:
8 gallons of 35%4 gallons of 50%Step-by-step explanation:
You want the quantities of 35% alcohol and 50% alcohol that must be mixed to get 12 gallons of 40% alcohol solution.
SetupLet x represent the quantity of 50% alcohol in the mix. Then (12 -x) is the quantity of 35% alcohol solution. The total amount of alcohol in the final solution is ...
0.50x +0.35(12 -x) = 0.40(12)
Solve0.15x = 0.05(12) . . . . . . . subtract 0.35(12)
x = 4 . . . . . . . . . . . . divide by 0.15
12 -x = 8 . . . . . quantity of 35% solution
8 gallons of 35% solution must be mixed with 4 gallons of 50% solution to make a 40% solution of alcohol.
z=x^2 y^2 3 find an equation of trhe tangent plane to the surfacee at the given point
To find the equation of the tangent plane to the surface z = x^2 y^2/3 at a given point (a,b,c), we need to find the partial derivatives of the surface with respect to x and y at that point.
∂z/∂x = 2axy^2/3
∂z/∂y = 2ax^2y/3
So, at the point (a,b,c), the equation of the tangent plane is given by:
z - c = (∂z/∂x) (x - a) + (∂z/∂y) (y - b)
Substituting the partial derivatives we found earlier, we get:
z - c = (2axy^2/3) (x - a) + (2ax^2y/3) (y - b)
Simplifying this expression, we get:
2axy^2/3 (x - a) + 2ax^2y/3 (y - b) - (z - c) = 0
Multiplying both sides by 3/(2ab), we get:
xy^2 (x - a) + x^2y (y - b) - 3(z - c)/(2ab) = 0
This is the equation of the tangent plane to the surface z = x^2 y^2/3 at the point (a,b,c).
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Evaluate 0.5m + 1.2m when m = 4
Answer:6.8.
Step-by-step explanation: 0.5(4) + 1.2(4) 2 + 4.8= 6.8.
Suppose X is normally distributed with mean 20 and standard deviation 4, find the value x0 such that P(X ≥ x0) = 0.975.
Answer:
12.16
Step-by-step explanation:
From your question, we have the following information
Mean = u = 20
Standard deviation sd = 4
P(X>Xo) = 0.975
1-0.975 = 0.025
P(z<Xo-20/4) = 0.025
Xo-20/4 = -1.96
We cross multiply
Xo - 20 = -1.96 x 4
Xo - 20 = -7.84
Xo = -7.84+30
Xo = 12.16
12.16 is the value of Xo and therefore the answer to this question.
Thank you!
Work out
(√6 +√12)²
Give your answer in the form
c+d√2
where c and d are integers.
Answer:
\(18 + \sqrt[12]{2} \)
= 34.97056
Solve using the quadratic formula
The value of x in the equation is x = -1 and x = -4.67
How to solve using the quadratic formulaFrom the question, we have the following parameters that can be used in our computation:
3x^2 + 13x + 4 = 0
This is a quadratic equation that can be solved using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a = 3, b = 13, c = 4
So, we have
x = (-13 ± √(13² - 4 * 3 * 4)) / 2 * 3
x = (-17 ± √(169 +- 48)) /6
x = (-17 ± 11) /6
Expand
x = (-17 + 11)/6 and x = (-17 - 11)/6
Evaluate
x = -1 and x = -4.67
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For each relation, indicate whether the relation is a partial order, a strict order, or neither. If the relation is a partial or strict order, indicate whether the relation is also a total order. Justify your answers.(a)The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears before y in alphabetical order. Assume that each word appears exactly once in the dictionary.(b)The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears as a substring of y. x is a substring of y if all the letters in x appear in consecutive order somewhere in y. For example, "logical" is substring of "topological" because the letters l-o-g-i-c-a-l appear consecutively in order in the word "topological". However, "local" is not a substring of "topological" because the letters l-o are separated from c-a-l by the letters g and i.(c)The domain is the set of all cell phone towers in a network. Two towers can communicate if they are within a distance of three miles from each other. Tower x is related to tower y if x can send information to y through a path of communication links. You can assume that there are at least two towers that are within three miles of each other.(d)The domain is the set of all positive integers. x is related to y if y = 3·n·x, for some positive integer n.(e)The domain of relation P is the set of all positive integers. For x, y ∈ Z+, xPy if there is a positive integer n such that xn = y.(f)The domain for the relation is Z×Z. (a, b) is related to (c, d) if a ≤ c and b ≤ d.(g)The domain is the set of girls at a basketball camp. Player x is related to y if x is taller or weighs more than player y (inclusive or). You can assume that no two players have the same height and that no two players have the same weight. The answer may depend on the actual weights or heights of the players, in which your answer may be "not necessarily", but you need to give an example to justify your answer.(h)The domain is the set of all runners in a race. x is related to y if x beat y in the race. No two players tied.(i)The domain is the set of all runners in a race. x is related to y if x beat y in the race. At least two runners in the race tied.
(a) The relation is a partial order.
(b) The relation is neither a partial order nor a strict order.
(c) The relation is a partial order.
(d) The relation is a partial order.
(e) The relation is a partial order.
(f) The relation is a partial order.
(g) The relation is neither a partial order nor a strict order.
(h) The relation is a strict order.
(i) The relation is neither a partial order nor a strict order.
The relation which can be partial, strictly partial or neither are:
(a) The relation is a partial order.
It is reflexive (every word is related to itself),
antisymmetric (if x is related to y and y is related to x, then x and y are the same word),
and transitive (if x is related to y and y is related to z, then x is related to z).
However, the relation is not a total order because there are pairs of words that are not comparable (e.g., "apple" and "zebra").
(b) The relation is neither a partial order nor a strict order.
It is not reflexive (a word is not a substring of itself unless it consists of a single letter),
and it is not transitive (if "logical" is a substring of "topological"
and "topological" is a substring of "biology," it does not mean that "logical" is a substring of "biology").
Therefore, it cannot be a partial or strict order, and it is not a total order.
(c) The relation is a partial order.
It is reflexive (a tower can communicate with itself),
antisymmetric (if tower x can communicate with tower y and vice versa, then x and y are the same tower),
and transitive (if tower x can communicate with tower y and tower y can communicate with tower z, then x can communicate with z).
However, the relation is not a total order because there may be pairs of towers that cannot communicate with each other due to the distance constraint.
(d) The relation is a partial order.
It is reflexive (y = 3 · 1 · x, so x is related to itself),
antisymmetric (if y = 3 · n · x and y = 3 · m · x for positive integers n and m, then n = m),
and transitive (if y = 3 · n · x and z = 3 · m · y for positive integers n and m, then z = 3 · (n · m) · x).
However, the relation is not a total order because there may be pairs of positive integers that are not related (e.g., 2 and 5).
(e) The relation is a partial order.
It is reflexive (\(x^1\) = x, so x is related to itself),
antisymmetric (if \(x^n\) = y and \(y^m\) = x for positive integers n and m, then \(x^{(n m)\) = x),
and transitive (if \(x^n\) = y and \(y^m\) = z for positive integers n and m, then \(x^{(n m)\) = z).
However, the relation is not a total order because there may be pairs of positive integers that are not related (e.g., 2 and 3).
(f) The relation is a partial order.
It is reflexive (a ≤ a and b ≤ b for any integers a and b),
antisymmetric (if a ≤ c and c ≤ a, then a = c, and if b ≤ d and d ≤ b, then b = d),
and transitive (if a ≤ c and c ≤ e, then a ≤ e and if b ≤ d and d ≤ f, then b ≤ f).
Moreover, the relation is a total order because for any pair of elements, they are comparable (either a ≤ c and b ≤ d or c ≤ a and d ≤ b).
(g) The relation is neither a partial order nor a strict order.
It is not reflexive (a player is not taller or weighs more than themselves),
and it is not transitive (if player x is taller than player y and player y is taller than player z, it does not imply that player x is taller than player z).
Therefore, it cannot be a partial or strict
(h) The relation is a strict order.
It is irreflexive (a runner cannot beat themselves),
asymmetric (if x beat y, then y cannot beat x),
and transitive (if x beat y and y beat z, then x must beat z).
Since it is a strict order, it is not a total order because there may be pairs of runners that are not comparable.
(i) The relation is neither a partial order nor a strict order.
It is not reflexive (a runner cannot beat themselves unless there is a tie),
and it is not antisymmetric (if x beat y and y beat x, it implies a tie between x and y).
Therefore, it cannot be a partial or strict order.
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Help me with this!!!
Answer:
The coordinate of the midpoint is -2 1/2.
Step-by-step explanation:
Think of "midpoint" as "average" in this problem. The average of the endpoints -10 and 5 is (-10 + 5)/2, or -5/2, or -2 1/2
You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New York. The airline has partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio of 3:1. Determine the ordered pair that represents the location of the layover.
Using proportions, it is found that the ordered pair that represents the location of the layover is given by: (2.75, 1.5).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the flight distance is partitioned in a ratio of 3:1, hence:
L - Nv = 3/4(Ny - Nv).
This ratio is applied for both coordinates, hence, for the x-coordinate:
\(x + 4 = \frac{3}/{4}(5 + 4)\)
\(x = \frac{27}{4} - \frac{16}{4}\)
\(x = \frac{11}{4}\)
x = 2.75.
For the y-coordinate:
\(y = \frac{3}/{4}(2 - 0)\)
\(y = \frac{6}{4}\)
x = 1.5.
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Please help me please I reallly need help
Answer:
we have:
\(v = \frac{1}{3} \pi \: r {}^{2}h \\ \\ = > 60\pi = \frac{1}{3} \pi \: r {}^{2} h \\ \\ < = > 180 = r {}^{2} h\)
=> r²h = 10.18 = 9.20 = 5.36 = 6.30 = 4.45 = 12.15
=> only r²h = 5.36 satisfy the problem
=> h = 5
h = 5 r = 6
h = 5 r = 6=> d = 12
d + 33 = 77
d = what?
Answer: d=44
Step-by-step explanation: Hope this help :D, Can you mark me Brainliest I really needed it please!
At a breakfast buffet, 63% of people choose coffee for their beverage while 23% choose juice,
Also, 20% choose both coffee and juice. What percentage of people chose coffee only
The percentage of people who chose only coffee will be 43%.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
At a breakfast buffet, 63% of people choose coffee as their beverage while 23% choose juice.
Also, 20% choose both coffee and juice.
Then the percentage of people who chose only coffee will be given by the difference of 63% and 20%.
⇒ 63% - 20%
⇒ 43%
Thus, the percentage of people who chose only coffee will be 43%.
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In a school annual Day 60 students involved is Science Exhibition, 75 involved in Mathematics Exhibition, 20 involved in both Exhibitions, and the rest of 285 students are not involved in any exhibition. Illustrate the above information in a Venn- diagrom. How many students took part in Schools Annual Day? How many of them involved in only one exhibition ?
Answer:
440 man its so easy just add up all the numbers
Step-by-step explanation:
440
Answer:
1) See the explanation
2) 400 Students
3) 95 Students
Step-by-step explanation:
1) As can be known from the question
Then, draw the venn diagram according to the known conditions.
2) 60 + 75 - 20 = 115 { Draw a venn diagram to calculate }
115 + 285 = 400
3) 60 - 20 + 75 - 20 = 95 ( Draw a venn diagram to calculate }
Complete the table to determine the cost assigned to ending inventory and cost of goods sold using specific identification
The ending inventory that van be gotten from the table will be $9905 and the cost of goods sold is $5083.
What is ending inventory?It should be noted that the ending inventory simply means the goods that are still available for sale at the end of an accounting period.
From the complete question, the ending inventory will be:
= $3190 + $2295 + $4420
= $9905
Also, the cost of goods sold will be:
= $2465 + $473 + $2145
= $5083
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Penny attended a four year state college. she took out a student loan to pay for her tuition and room & board for the four years she was attending the college. her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. now that she has graduated, she will have to start paying back her loan. fortunately, penny has a grace period of one year before she has to start paying back the loan. her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. during her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. her goal is to be able to payoff the loan in 10 years. what is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? this is the amount that she will be responsible for paying back. (round your answer to the nearest whole dollar)
The new loan amount is $113,797
What is compound interest?
Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.
We can find new loan amount as shown below:
Total amount of loan=4*6,970+4*11,320
=27,880+45,280
=$73,160
Now, we will find new loan amount using compound interest formula.
Amount=\(P(1+\frac{r}{n})^{nt}\)
P=$73,160
n=12
t=1 year
r=4.5%=0.045
Putting in formula
Amount\(=73,160(1+\frac{0.045}{12})^{12}\)
=$113,797.039
Rounding to nearest dollar
=$ 113,797
Hence, new loan amount after one-year grace period is $113.797.
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Round the mixed number to the nearest whole or half.
8 4/27 this is a mixed number ok
PLEASE HELP
Answer:
8 jzhwwh8qoqqnsnwuwjwjqj
How do the measures of the angles of polygon ABCD compare with those of the translated images? Based on your observation, what can you conclude about preservation of angle measurements during a translation?
Answer: the measures of the angles of polygon ABCD are equal to the measures of the corresponding angles of both translated images. this means that the angles of the polygon are preserved as the figure is translated in any direction
Answer:
The opposite sides of quadrilateral ABCD have equal slopes, which means the opposite sides are parallel. Therefore, by definition, quadrilateral ABCD is a parallelogram.
Plato
plz help I will mark brainliest !!!
Answer:
-5.3 Fahrenheit
Step-by-step explanation:
mark me brainliest
Answer:
b
Step-by-step explanation:
0.31, 0.35, 0.38, 0.425, 0.8, 32.5 from least to greatest
Answer:
0.31 0.325 0.35 0.38 0.425 32.5
Step-by-step explanation:
Answer:
its already in order
Step-by-step explanation: