The table shows the types of movies and the number of DVDs reented by customers at a Red Box in one
Based on the data in the table, what is the probability that a random customer will not rent a drama?
Answers
Answer:
A
Step-by-step explanation:
The probability that a random customer will not rent a drama is 4/5. Option B is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
Total number of rented DVDs = 25 + 36 + 52 + 12 = 125
Number of Drama movies = 25
The probability that a random customer will rent a drama.
P(D) = 25 / 125 = 1/5
Now,
The probability that a random customer will not rent a drama,
P(D)' = 1 - P(D)
= 1 - 1/5 = 4/5
Thus, the probability that a random customer will not rent a drama is 4/5. Option B is correct.
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Related Questions
Mandy owns a car dealership in which her employees earn commission for each car they sell in addition to a weekly salary. One employee sells 5 cars and makes $1,700 that week. A second employee sells 6 cars and makes $1,940 that week.
Answers
The equation in slope-intercept form as required is; y = 240x + 500
What is partial variation?This is when the value of the dependent variable depends partly on the value of the independent variable and partly on an initial value that is not 0
According to the statements in the task content;
One employee sells 5 cars and makes $1,700 that week.
A second employee sells 6 cars and makes $1,940 that week.
Hence, it follows from partial variation that;
1700 = 5a + b
1940 = 6a + b
Hence, by solving simultaneously, it follows that;
a = 240
b = 500
Hence, the equation in slope-intercept form as required is; y = 240x + 500
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A rectangular restaurant kitchen has an area of 80 square meters and a perimeter of 36 meters. What are the dimensions of the kitchen?
Answers
Answer:
Step-by-step explanation
Frist, the area = ab = 30 m^2 and the perimeter = 2(a + b) = 34 m or a + b = 17 m (2). Solving (1) and (2), a = 15 m and b = 2 m. Since it is a rectangle, the dimensions are (all in m) so the answer is: 15, 2, 15, 2.
Answer:
THe kitchen is 8 by 10
Step-by-step explanation:
x = width
y = length
Area = xy = 80 m²
Perimeter = 2x + 2y = 36 m
2x = 36 - 2y
x = 18 - y substitute into equation 1
(18 - y)(y) = 80
-y² + 18y - 80 = 0 find roots of y by factoring
y² - 18y + 80 = 0
(y - 8)(y - 10) = 0
y = 8, 10
Since xy = 80, then:
x = 80/10 = 8, or, x = 80/8 = 10
Now you have your dimensions: 8 and 10
To check the answers:
8 x 10 = 80 m²
2(8) + 2 (10) = 36 m
Answers are correct!
please help, i also need m
Answers
Therefore, the measure of angle SQR is. \(156-6y=26\) degrees.
What is triangle?A triangle is a three-sided polygon, which means it is a flat shape with straight sides. Triangles are one of the basic shapes in geometry and can be identified by their three sides and three angles. The sum of the interior angles of a triangle is always 180 degrees, and there are various types of triangles based on their side lengths and angle measurements, including equilateral, isosceles, scalene, acute, obtuse, and right triangles. Triangles are used in many areas of mathematics and science, as well as in everyday life, such as in construction and design.
To find the measure of angle SQR, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Therefore:
Angle QRS + Angle RSQ + Angle SQR = 180
Substituting the given values, we get:
\((2y + 16) + (4y + 8) + Angle SQR = 180\)
Simplifying and solving for Angle SQR, we get:
\(Angle SQR = 180 - (2y + 16) - (4y + 8)\)
\(= 180 - 6y - 24\)
\(= 156 - 6y\)
\(= 26\)
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while shopping kyla found a dress that she would like to purchase but it costs more than she has kyla charges $5.50 aam hour for babysitting she wants to figure out how many hours she must babysit to earn $52.25 to buy the dress
Answers
Which of these expressions is equivalent to 30b2?
A 3b + 10b
B 3b. 10b
c9b +21b
D 9b21b
Answers
Answer:
B) 3b. 10b
Step-by-step explanation:
B) 3b. 10b = (3x10)(bxb) = 30b²
The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 70.3% of their carbon-14. How old were the bones at the time they were discovered?
Answers
The bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.
What is half-lives?Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.
There is a scientist who determined that the bones from a mastodon had lost 70.3% of their carbon-14. Thus, the fraction remaining is,
f=1-(70.3/100)=1-0.703
f=1-(70.3/100)=0.297
Now the fraction remaining can be given as,
f=(1/2)ⁿ
Here, n is the half life elapsed. Put the value of fraction remaining.
0.297=(1/2)ⁿ
n=1.75
The radioactive element carbon-14 has a half-life of total 5750 years. Thus,
Years=1.75*5750
Years=10062.5
Thus, the bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.
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A. Their rates of change differ by 2. B. Their rates of change differ by 4. C. Function M has a greater rate of change than Function P. D. Function M and Function P have the same rate of change.
Answers
Answer:
(a) Their rates of change differ by 2
Step-by-step explanation:
Given
See attachment for functions M and P
Required
Determine what is true about the rates of M and P
First, we calculate the slope (i.e. rate) of both functions.
Slope is calculated as:
\(m = \frac{y_2 -y_1}{x_2 - x_1}\)
From the table of M, we have:
\((x_1,y_1) = (-2,-9)\)
\((x_2,y_2) = (2,11)\)
So, the slope is:
\(m_M = \frac{11 --9}{2--2}\)
\(m_M = \frac{20}{4}\)
\(m_M = 5\)
For function P, we have:
\(y = 7x + 9\)
A function is represented as:
\(y = mx + b\)
Where:
\(m = slope\)
So, by comparison:
\(m_P = 7\)
At this point, we have:
\(m_M = 5\) --- Slope of M
\(m_P = 7\) --- Slope of P
Only option (a) is true because both slopes differ by 2. i.e. 7 - 5 = 2
Other options are not true
200 meters
60 meters
60 meters
200 meters
Karl, the lifeguard, decides to walk the perimeter of the pool. How long is the
perimeter of the pool?
Answers
Answer:
520 m
Step-by-step explanation:
Perimeter is the distance around a shape. To find the perimeter, you add up all the sides.
200 + 60 + 60 + 200 = 520 m
Let A be a 4X5 matrix. If a1,a2,a4 are linearly independent and a3=a1+2a2 a5=2a1-a2+3a4 determine the reduced row echelon form of A.
Answers
As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)
The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.
Here we have the 4 x 5 matrix.
And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.
Now, we have to apply the value of
a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.
Then we get the matrix of 3 x 3 looks like the following,
\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)
Now, we have to do the following steps in order to get the reduced row echelon form of A,
The first and foremost steps is to take the non-zero number in the first row is the number 1.
Then we have to place any non-zero rows are placed at the bottom of the matrix.
This steps are repeated until the final row becomes zero.
Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)
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if 10x ≤ g(x) ≤ 5x4 − 5x2 + 10 for all x, evaluate lim x→1 g(x).
Answers
Therefore , the solution of the given problem of equation comes out to be \(\lim_{x \to 1}\) g(x) = 10.
What is equation ?An equation must always have two members that are equal, as well as one or more members (the unknown variables) whose value is unknown. What number, for instance, multiplies to 16 when multiplied by itself? The equation: can be used to express this mathematical issue in mathematical expression.
Here,
Given equation : 10x ≤ g(x) ≤ 5\(x^4}\) − 5\(x^{2}\) + 10
thus to evaluate
=> \(\lim_{x \to 1}\) g(x) = ?
We use square theorem ,
=> \(\lim_{x \to 1}\) 10x = 10
and
=> \(\lim_{x \to 1}\) 5\(x^4}\) − 5\(x^{2}\) + 10 = 5(1) - 5(1) + 10
=> \(\lim_{x \to 1}\) 5\(x^4}\) − 5\(x^{2}\) + 10 = 10
Thus , both limits comes out to be same
So,
=> \(\lim_{x \to 1}\) g(x) = 10.
Therefore , the solution of the given problem of equation comes out to be \(\lim_{x \to 1}\) g(x) = 10.
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if you divide polynomial f(x) by (x-7) and get a remainder of 5 what is f(7)
Answers
if you divide polynomial f(x) by (x-7) and get a remainder of 5 what is f(7) is 5.
The remainder theorem states that the remainder of the polynomial f(x) divided by (x-a) is f(a). In this case, it is known that the remainder of the division of f(x) by (x-7) is 5. Thus, from the remainder theorem, we get:
f(x) = (x-7)q (x ) + 5,
where q(x) is the quotient. To find the value of
f(7, we substitute x = 7 in the above equation:
f(7) = (7-7)q(7) + 5
7-7 = 0, so the first term drops out, leaving:
f(7) = 5
So, we can conclude that the value of f(7) is 5.
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50/4x-12 + x-4/x^2+x-12=x/2
Answers
The value of \(x\) that satisfies the equation is \(x = 6\).
How can we solve an equation with a fraction and a quadratic expression?
To solve an equation with a fraction and a quadratic expression, we can first try to simplify the fractions by finding a common denominator. Then, we can move all the terms to one side of the equation and simplify it into a quadratic equation. Finally, we can solve the quadratic equation using factoring or the quadratic formula.
Find the value of \(x\):
The given equation is:
\(\frac{50}{4x-12}+\frac{x-4}{x^2+x-12}=\frac{x}{2}\)
The first step is to find the LCM of the denominators. Factoring the denominator \(x^2+x-12\), we get:
\(x^2+x-12=(x+4)(x-3)\)
So the LCM of the denominators is \((4x-12)(x+4)(x-3)\). Multiplying both sides of the equation by this LCM, we get:
\(50(x+4)(x-3)+(x-4)(4x-12)=\frac{x}{2}(4x-12)(x+4)(x-3)\)
Expanding and simplifying both sides, we get:
\(6x^3-26x^2-13x+56=0\)
Factoring out \((x-4)\), we get:
\((x-4)(6x^2-10x-14)=0\)
Solving for \(x\) using the quadratic formula, we get:
\(x=\frac{5\pm\sqrt{29}}{3} \text{ or } x=4\)
However, we need to check if any of these solutions make the denominator zero, which would be undefined. Checking each of the possible solutions, we find that \(x=4\) is the only solution that does not make any of the denominators zero.
Therefore, the solution is \(x=4\).
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last one… someone help please.
Answers
Answer:
32 degrees
a triangle is = to 180 degrees
Suppose that there are two brands of replacement components, Brand X and Brand Y, and that for political reasons a company buys replacements of both types. When a Brand X components fails it is replaced with a new Brand Y component and when a Brand Y component fails it is replaced with a Brand X component. The lifetimes (measured in thousands of hours) of Brand X components are uniform on [1,2] and the Brand Y components have lifetimes that are uniform on [1,3]. Answer the following questions for large time t. (a) What is the probability that the current component is Brand X? (b) What is the distribution of the age of the current component? (c) What is the distribution of the total lifetime of the current component? (d) Would these answers be different if instead of alternating the brands, they used the rule that when a component fails they randomly choose a Brand X or Brand Y component with probability 1/2 for each?
Answers
(a) The probability that the current component is Brand X is 1/2, since both brands are equally likely to fail at any given time and the replacement component is always from the opposite brand.
(b) The age of the current component has a uniform distribution on [0,1] if it is a Brand Y component (since it was just replaced) and on [0,2] if it is a Brand X component (since it has been in use for some time).
(c) The total lifetime of the current component has a mixture distribution, where the probability density function is given by:
f(t) = (1/4) for 1 ≤ t ≤ 2
f(t) = (1/6) for 2 ≤ t ≤ 3
(d) If the replacement component is chosen randomly with a probability 1/2 for each brand, then the probability that the current component is Brand X is still 1/2.
This is because if the current component is a Brand X component, it has been in use for a time between 0 and 2 (uniformly distributed) and then it will fail at a time between 1 and 2 (uniformly distributed), for a total lifetime between 1 and 2 (with probability 1/2) or between 2 and 3 (with probability 1/2).
If the current component is a Brand Y component, it has been in use for a time between 0 and 1 (uniformly distributed) and then it will fail at a time between 1 and 3 (uniformly distributed), for a total lifetime between 1 and 2 (with probability 1/3), between 2 and 3 (with probability 1/3), or between 3 and 4 (with probability 1/3).
However, the distribution of the age and total lifetime of the current component will be different. The age of the current component will have a mixture distribution, where the probability density function is given by:
f(t) = (1/4) for 1 ≤ t ≤ 2
f(t) = (1/6) for 2 ≤ t ≤ 3
f(t) = (1/12) for 3 ≤ t ≤ 4
This is because if the current component is a Brand X component, it has been in use for a time between 0 and 2 (uniformly distributed) and then it will fail at a time between 1 and 2 (uniformly distributed), for a total lifetime between 1 and 2 (with probability 1/2). If the current component is a Brand Y component, it has been in use for a time between 0 and 3 (uniformly distributed) and then it will fail at a time between 1 and 3 (uniformly distributed), for a total lifetime between 1 and 2 (with probability 1/6), between 2 and 3 (with probability 1/3), or between 3 and 4 (with probability 1/6). The total lifetime of the current component will also have a mixture distribution, where the probability density function is the same as in part (c).
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x2 + 5x - 36 which binomial is a factor of the polynomial?
Answers
Thus, the two binomials that are factor of the polynomial are $(x + 9)$ and $(x - 4)$.
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
Answers
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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Question content area the calculation for annual depreciation using the units-of-output method is:________
Answers
Content area the calculation for annual depreciation using the units-of-output method is yearly output.
What are the output method's units?
The productive output, units of production, or units of activity methods are other names for the units of output approach. Depreciation is computed based on the output of the equipment over a given period of time, taking into account the equipment's anticipated lifetime output units.What is the annual depreciation formula?
The formula for calculating the annual depreciation rate is (100 x Number of Periods in Year)/Number of Periods in Expected Life. The formula annual depreciation rate/number of periods in the year is used to determine the amount of depreciation for each period.Learn more about yearly output.
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a. 292.6
b. 235.7
c. 471.4
d. 625.8
pls help
Answers
Answer:
d. 625.8
Step-by-step explanation:
LxWxH
L=6 you
W=7 you
H=14.9 yd
(6×7)×14.9
42x14.9
625.8
What number comes next in the sequence?16, 8, 4, 2, 1, ?01/2 1-1-2
Answers
Given
What number comes next in the sequence?
16, 8, 4, 2, 1, ?
Solution
This is a Geometric sequence, we need to find the common ratio
The formula for the common ratio is
\(r=\frac{a_2}{a_1}=\frac{8}{16}=\frac{1}{2}\)Now
\(a_n=a_1r^{n-1}\)\(\begin{gathered} n=6 \\ a_1=16 \\ r=\frac{1}{2} \\ \\ a_6=16\times\frac{1}{2}^{(6-1)} \\ \\ a_6=16\times\frac{1}{2}^{(5)} \\ \\ a_6=16\times\frac{1}{32} \\ \\ a_6=\frac{16}{32}=\frac{1}{2} \end{gathered}\)The final answer
\(\frac{1}{2}\)what is the simplified form of (x-2)(2x+3)
Answers
Answer:
2x² - x - 6
Step-by-step explanation:
(x - 2)(2x + 3)
each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 3) - 2(2x + 3) ← distribute parenthesis
= 2x² + 3x - 4x - 6 ← collect like terms
= 2x² - x - 6
Is it possible for three vectors of different magnitudes to add to zero?.
Answers
Yes, it is possible for three vectors of different magnitudes to add up to zero.
For three vectors to add up to zero, their magnitudes and directions must be carefully chosen. The vectors can have different magnitudes but must be arranged such that their sum cancels out.
To illustrate this, let's consider three vectors A, B, and C. Each vector has a different magnitude but when combined, their sum results in zero.
Let's say vector A has a magnitude of 3 units, vector B has a magnitude of 2 units, and vector C has a magnitude of 1 unit. To achieve a zero resultant vector, we can arrange these vectors in the following way:
Vector A is directed to the right with a magnitude of 3 units.
Vector B is directed to the left with a magnitude of 2 units.
Vector C is directed upwards with a magnitude of 1 unit.
By carefully choosing the directions and magnitudes, the sum of these vectors will be zero. Vector A cancels out the leftward component of vector B, and vector C cancels out the downward component of the resultant vector formed by A and B.
Therefore, it is possible for three vectors of different magnitudes to add up to zero if their directions and magnitudes are appropriately chosen to cancel each other out.
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A college newspaper interviews a psychologist about a proposed system for rating the teaching ability of faculty members. The psychologist says, The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero." A correct interpretation of this statement would be
a. good teachers tend to be poor researchers and vice versa.
b. good researchers are just as likely to be good teachers as they are bad teachers
c. good research and good teaching go hand in hand.
d. good researchers tend to be poor teachers and vice versa.
Answers
The correct interpretation of the psychologist's statement, "The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero," would be b. good researchers are just as likely to be good teachers as they are bad teachers.
This interpretation suggests that there is no significant relationship between a faculty member's research productivity and their teaching rating. It means that being a good researcher does not necessarily imply being a good teacher, and vice versa.
The psychologist's statement indicates that the two factors, research productivity and teaching ability, are not strongly correlated with each other.
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ahla
S : Assignment
乡,一石
Answers
Answer
what's the question?
Step-by-step explanation:
looks like your question is missing information
Pick one of the remaining choices and explain on the lines below, why thatchoice contains two expressions that are not equivalent for any value of r.
Answers
If two expressions have the same coefficients of the variable, then the variable can be any number
For the first choice
3(3r + 3) = 9r + 9 === 1st expression
6r + 6 ===== 2nd expression
If we equate them
9r + 9 = 6r + 6
If we solve the equation we will find just one value of r
9r + 9 - 6r = 6r - 6r + 6
3r + 9 = 6
3r + 9 - 9 = 6 - 9
3r = -3
r = -1
But in the other choices, the two expressions have the same coefficients of r
Then when we equate them they will cancel each other
Then r can be any value
Because it does not affect the equation
A gym charges membership dues of $25 per month. Part A
Complete the table to show how the total cost in dollars, C, and the
number of months, m, of gym membership are related. What is the cost of the blue section
Answers
you can turn this into an equation: \(c=25m\), where c is the cost and m is number of months.
solve for blue.
\(c=25m\\\\c=25(14)\\\\c=350\)
The blue section costs $350.
Part C
What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south? Use the terms A, B, C, and D'
BIUx x, Font Szes A A E EE m
Answers
What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south?
Step-by-step explanation:
Answer: The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4,
the age of Edna, Ellie, and Elsa are consecutive integers. the sum of their ages is 117 what are their ages?
Answers
Answer:
Their ages are 38,39 and 40.
Step by step explanation:
If they were all the same age, then their ages would be:
\(\frac{117}{3}=39\)But, they are consecutive integers. So, you can make Elsa 40 and Edna 38.
\(38+39+40=117\)Is 12 < or > or = to -29
Answers
First, we have to set a number line:
We can see, that of we move left to right, 12 is greater than -29.
SO:
12 > -29
i need help lol. please give me an explaination as well ty <3
Answers
Aiden has 56 orange slices to share equally with 6 friends. If Aiden also gets an equal number of orange slices, how many orange slices will each person get?
Answers
Answer:
8 orange slices
Step-by-step explanation:
The total number of persons = Aiden + 6 friends = 7 persons
7 people are to share 56 orange slices equally.
Hence,
7 persons = 56 slices
1 person = x
Cross Multiply
7x = 56 × 1
x = 56/7
x = 8 slices
Therefore, each person will get 8 orange slices