Answer:This problem asks how many groups of 1/3 are in 4.
Quotient :12
Step-by-step explanation:
For the purposes of a marketing research, a survey of 1000 women is conducted in a town. The results show that 52 % liked watching comedies, 45% liked watching fantasy movies and 60% liked watching romantic movies. In addition, 25% liked watching comedy and fantasy both, 28% liked watching romantic and fantasy both and 30% liked watching comedy and romantic movies both. 6% liked watching none of these movie genres. Find The number of women who like watching at least two of the given genres
The number of women who like watching at least two of the given genres 1640 women.
Let's call the number of women who liked watching comedies C, the number who liked watching fantasy movies F, and the number who liked watching romantic movies R.
From the information given, we know:
C = 1000 * 52% = 520 women liked watching comedies
F = 1000 * 45% = 450 women liked watching fantasy movies
R = 1000 * 60% = 600 women liked watching romantic movies
We also know that:
25% of women liked watching both comedies and fantasy, so 0.25 * 1000 = 250 women.
28% of women liked watching both romantic and fantasy, so 0.28 * 1000 = 280 women.
30% of women liked watching both comedies and romantic, so 0.30 * 1000 = 300 women.
However, these numbers overlap because some women like all three genres, so we have to subtract the number of women who like all three genres from our total. We don't know the number of women who like all three genres, but we can calculate it by adding up the number of women who liked two genres and subtracting from the total number of women:
Number of women who liked all three genres = (C + F + R - (C & F) - (C & R) - (F & R) + (C & F & R)) = (520 + 450 + 600 - 250 - 300 - 280 + (C & F & R))
Since 6% of women liked watching none of these movie genres, we can subtract this from our total:
C & F & R = 1000 - 6% * 1000 = 940 women
So the number of women who like watching at least two of the given genres = (520 + 450 + 600 - 250 - 300 - 280 + 940) = 1640 women.
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Can someone help fast give branliest!!
Answer:
between 3 and 5 o' clock
Step-by-step explanation:
brainliest
There are 45 crayons in the crayon box. Each person took 9 crayons. Which equation could be used to find how many people took crayons?
Answer:
Let x be number of people who took crayons
Now, A/c to question
x=45/9
Question 4
The area of a rectangular picture frame is 54 in2. The length of the frame is 3 feet
longer than the width. What are the dimensions of the frame?
O 3 in; 18 in
O 6 in; 9 in
O4 in; 7 in
O9 in; 12 in
Using Algebraic equations, the dimensions of the frame are 6in: 9 in.
The word "area" refers to a free space. A shape's length and width are used to compute its area. Unidimensional length is expressed in terms of feet (ft), yards (yd), inches (in), etc. But a shape's area is a two-dimensional measurement. Hence, it is expressed in square units such as square inches (in2), square feet (ft 2), square yards (yd2), etc.
Given, the area of the rectangular picture frame is 54 in².
length of the frame is 3 feet longer than the width,
Let us assume width = x
length of the frame will be = x + 3,
Area of rectangle = length × breadth
⇒ 54 = (x) (x + 3)
⇒ 54 = x² + 3x
Now, factorizing the given equation,
x² + 3x - 54
x² + 9x - 6x - 54
x(x + 9) -6 (x + 9)
(x + 9) (x - 6)
The value of x will be x = -9 and x = 6
As the negative length of the rectangle is not possible, we will consider, x = 6 and width = 9,
∴ The length of the rectangle = 6 inch,
Width of the rectangle will be = 6 + 3 = 9 inch.
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.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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Can someone plz help me plzzzz I’m being timed
Answer:
1 = 19. 3 = 21. 7 = 25
Step-by-step explanation:
w = t + 18
19 = 1 + 18
21 = 3 + 18
25 = 7 + 18
f (x) = 3x^2 - 7x - 32
What is the value of f(-4)?
Answer:
f (-4) = 3x(-4)^2 - 7x(-4) - 32 = 44
Step-by-step explanation:
you should replace every x with the number given which is here equals -4
1/2x +31/2y=
Please help I have only till 3 pm
Answer: \(\frac{x}{2}\) + \(\frac{31y}{2}\)
Step-by-step explanation:
1) Combine multiplied terms into a single fraction.
\(\frac{1}{2}\) x + \(\frac{31}{2}\) ⋅ y
2) Multiply the equation by 1.
1x/2+ 31/2 ⋅ y
x/2 + 31/2 ⋅ y
3) Combine multiplied terms into a single fraction.
x/2 + 31/2 y
x/2 + 31y/2
4) Solution
x/2 + 31y/2
Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?
(multiple choice)
Answer:
Option A.
Step-by-step explanation:
An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.
\(|x-5|=x-5\)
or
\(|x-5|=-(x-5)=-x+5\)
The only options with these equations are A. and D.
D. can be eliminated as the inequalities given for the piecewise function do not match f(x)
To see it visually, you can try graphing it on a calculator or internet graphing service.
Help please and thank you
Answer:
A.
Step-by-step explanation:
looking at the scatter plot, we can sort of determine a line of best fit, so if we imagine a linear line passing through the middle of the plots, the slope of the line would be positive :)
Pumpkin pie p(t) write an expression
As mentioned in the previous answer, an expression for the amount of pumpkin pie, p(t), as a function of time, t, using an exponential function is:
p(t) = p_0 e^(-kt)
where:
p_0 is the initial amount of pumpkin pie at time t = 0k is the decay rate constant, which determines how quickly the pumpkin pie decays over timee is the mathematical constant equal to approximately 2.71828, the base of the natural logarithmTo illustrate the use of the exponential function, we can work through an example:
Suppose that the initial amount of pumpkin pie is 1000 grams, and the decay rate constant is k = 0.01 per minute. We can write the expression for the amount of pumpkin pie as:
p(t) = 1000 e^(-0.01t)
To evaluate the amount of pumpkin pie, p(t), after 30 minutes, we substitute t = 30 into the equation:
p(30) = 1000 e^(-0.01*30)
p(30) = 740.82 grams
This means that after 30 minutes, the amount of pumpkin pie remaining is approximately 740.82 grams.
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\(\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}\)
\(\textcolor{blue}{\small\texttt{If you have any further questions,}}\) \(\textcolor{blue}{\small{\texttt{feel free to ask!}}}\)
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PLS HELP I REALLY NEED HELP 25 points if u help I’ll send 40 points
And explain how u know
x = 17°
Step-by-step explanation:
total angle is 90°
so the equation is
90°=73°+ x
x = 90°-73°
x=17°
hope it helps ❤️
The graph of h(x)= |x-10| +6 is shown. On which interval is this graph increasing?
Answer:
Step-by-step explanation:
we have we know that see the graph
Let
Find the slope B The slope is positive
so
The graph is increasing in the interval----------> (10, ∞)
Find the slope AB
The slope is negative
so
The graph is decreasing in the interval----------> (-∞,10)
therefore
-x/5-8=12
Show work
And check
Answer:
\(\huge\boxed{\sf x = -100}\)
Step-by-step explanation:
Given equation:\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)
a radio tower is located 350 feet from a building. from a window in the building, a person determines that the angle of elevation to the top of the tower is 42 degrees and that the angle of depression to the bottom of the tower is 28 degrees . how tall is the tower?
The height of the tower is approximately 336.4 feet. To find the height of the tower, we can use trigonometric ratios in a right triangle formed by the tower, the person's line of sight, and the ground.
Let's label the height of the tower as "h" in feet. We can divide the right triangle into two smaller triangles: one with the angle of elevation of 42 degrees and the other with the angle of depression of 28 degrees.
In the triangle with the angle of elevation, the side opposite the angle of elevation is the height of the tower, h, and the side adjacent to the angle of elevation is the distance from the window to the tower, which is 350 feet. We can use the tangent function to relate the angle of elevation and the sides of the triangle:
tan(42 degrees) = h / 350
Similarly, in the triangle with the angle of depression, the side opposite the angle of depression is also the height of the tower, h, and the side adjacent to the angle of depression is the distance from the window to the tower, which is still 350 feet. Using the tangent function again, we have:
tan(28 degrees) = h / 350
We can solve these two equations simultaneously to find the value of h. Rearranging the equations:
h = 350 * tan(42 degrees)
h = 350 * tan(28 degrees)
Evaluating these expressions, we find that h is approximately 336.4 feet.
Therefore, the height of the tower is approximately 336.4 feet.
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There are letter tiles in a bag. Four A's, five B's, six C's and five D's. You select one tile, replace it, and then draw another. P( C and D)=____
Answer: 3/40
Step-by-step explanation:
Number of A's = 4
Number of B's = 5
Number of C's = 6
Number of D's = 5
Total number of letters tiles = 20
Probability of selecting C = 6/20 = 3/10
Probability of selecting D = 5/20 = 1/4
P( C and D)= 3/10 × 1/4 = 3/40
PLEASE HELP!!!
Jaslynn solved the equation shown below. 2(x+5) - 4 = 5(x - 3) 2x + 10 - 4 = 5x - 15 2x + 6 = 5x - 15 6 = 3x - 15 21 = 3x 7 = x What properties did she use to solve the equation? Select all that apply. Group of answer choices Addition Property of Equality Transitive Property of Equality Combine Like Terms Distributive Property Subtraction Property of Equality Substitution Property of Equality Division Property of Equality
Answer:addition property of equality, combine like terms, distributive property and division property of equality.
Step-by-step explanation: I took the test
What is the awnser to that question
Answer:
its A
Step-by-step explanation:
B. Optimizing Multivariable Functions Optimize z = 3x² - xy + 2y² - 4x - 7y + 12. 1. Find the critical points at which the function may be optimized. 2. Determine whether at the computed points, the
The critical points are (2,1) and (0,0). Given, z = 3x² - xy + 2y² - 4x - 7y + 12.1. Find the critical points at which the function may be optimized.
To find the critical points, we need to solve the following system of equations: ∂z/∂x = 0, ∂z/∂y = 0∂z/∂x = 6x - y - 4 = 0∂z/∂y = -x + 4y - 7 = 0By solving these equations, we get two critical points: (2,1) and (0,0).2. Determine whether at the computed points, the function takes on its maximum or minimum value.
To determine whether each critical point is a maximum, minimum, or saddle point, we need to compute the second partial derivatives of z: ∂²z/∂x² = 6, ∂²z/∂y² = 4, ∂²z/∂x∂y = -1At the point (2,1), the second partial derivatives satisfy the condition (∂²z/∂x²)(∂²z/∂y²) - (∂²z/∂x∂y)² = (6)(4) - (-1)² = 25 > 0 and ∂²z/∂x² > 0, so z has a minimum value at this point.At the point (0,0), the second partial derivatives satisfy the condition (∂²z/∂x²)(∂²z/∂y²) - (∂²z/∂x∂y)² = (6)(4) - (-1)² = 25 > 0 and ∂²z/∂x² > 0, so z has a minimum value at this point.Therefore, the function z = 3x² - xy + 2y² - 4x - 7y + 12 is optimized at (2,1), where the minimum value is z = 3(2)² - (2)(1) + 2(1)² - 4(2) - 7(1) + 12 = -10.
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7th grade math for easy points
Answer:
8
Step-by-step explanation:
8*8*8 = 512
or
8³ = 512
or
just punch it in a calculator
Find the value of x in the following parallelogram
Answer:
Step-by-step explanation:
If the figure is a parallelogram then the angles opposite one another are equal
2x - 30 = x + 40 Subtract x from both sides.
2x - x - 30 = x - x + 40 Combine
x - 30 = 40 Add 30 to both sides
x - 30 + 30 = 40 + 30 Combine
x = 70
The volume of a pyramid is ______ the product of the area of its base and its height.
Answer:
Volume of a pyramid =3Base Area×Height
April 100 May 140 June 110 July 150 August 120 September 160 What is this month's forecast using exponential smoothing with alpha = 0.2, if August's forecast was 145?
This month's forecast using exponential smoothing with alpha = 0.2, if August's forecast was 145 is 148..
How can the forecast be done?The exponential window function is a general method for smoothing time series data known as exponential smoothing. In contrast to the ordinary moving average, which weights previous data equally, exponential functions use weights that decrease exponentially with time.
The exponential smoothing with an alpha of .2 can be expressed as
F(t) = α*D(t) + (1-α)*F(t-1)
α = 0.2
F(t) = forecast for this month (October)
D(t) = actual demand for the last month (September) = 160
F(t-1) = forecast for last month (August) = 145
Then this can be expressed as ;
0.2*160 + (1-0.2)*145
= 32 + 116
= 148
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complete question;
The owner of Darkest Tans Unlimited in a local mall is forecasting this month's (October's) demand for the one new tanning booth based on the following historical data: col1 Month April May June July August September col2 Number of Visits 100 140 110 150 120 160 What is this month's forecast using exponential smoothing with alpha =. 2, if August's forecast was 145? a. 163b. 142 c. 148 d. 140 e. 144
Describe the end behavior of the graph of the function
f(x)=−5(4) x−6
. For[infinity], type in the word infinity. For−[infinity], type in -infinity (a minus sign followed by the word infinity). Make sure that you type in the word infinity with a lower case
. As x→−[infinity],f(x)→
As x→[infinity],f(x)→
End behavior of a function f defines the behavior of the function's graph at the "ends" of the x-axis. In other words, the end behavior of a function explains the graph's trend when we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. Example. A function is a type of rule that produces one output for one input. Alex Federspiel provided the image. y=x2 is an example of this. If you enter anything for x, you will only get one output for y. Because x represents the input value, we may say that y is a function of x.
Here,
End behavior of a function f specifies how the function's graph behaves at the "ends" of the x-axis. In other words, when we look to the right end of the x-axis (as x approaches +) and to the left end of the x-axis (as x approaches ), the end behavior of a function explains the graph's trend.
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henry's score on an accounting exam placed him in the 85th percentile in the class. what percentage of students scored higher than henry?
15% of the students scored higher than Henry on the accounting exam.
What is percentiles?
Percentiles are a measure of the relative standing of a value within a set of values. The nth percentile is a value such that n% of the values are less than or equal to that value.
So, if Henry's score is in the 85th percentile, it means that 85% of the scores in the class are less than or equal to his score.
Therefore, 100% - 85% = 15% of the scores in the class are higher than Henry's score. So, 15% of the students scored higher than Henry on the accounting exam.
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15. Gerald’ average core for nine tet wa 96. If the um of the core of two of hi tet wa 178, then what wa hi average for the other even tet
Let x is average for rest of seven test. Then average for remaining test is x= 2.27
What is average?The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
Why is average called mean?The middle point of the set of values is the mean. It represents the mean of the data set's values. In statistics, the centre number, also known as the mean, is referred to as the average.
We want the TOTAL average to equal 94
4/9 of the 5 scores have an average of 178
Let x = average of the 5 remaining test, which is worth 5/9 of the total average.
We get: 94 = (4/9)(178) + (5/59)(x)
94=712/9+59x/9
846=712+59x
846-712=59x
134=59x
134/59=x
Solve: x = 2.27
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Michael has never taken a foreign language class, but is doing a story on them for the school newspaper. The school offers French and Spanish. Michael has a list of all 25 kids in the school enrolled in at least one foreign language class. He also knows that 18 kids are in the French class and 21 kids are in the Spanish class. If Michael chooses two kids at random off his list and interviews them, what is the probability that he will be able to write something about both the French and Spanish classes after he is finished with the interviews
The probability that kids will be able to write something about both the French and Spanish classes after he is finished with the interviews is 91/100.
Given 25 kids has enrolled in atleast one foreign language class. 18 kids are in French class and 21 kids are in Spanish class.
We have to find the probability that kids will be able to write something about both the French and Spanish classes after Michael is finished with the interviews.
Let F is a set showing students knowing French,
S be a set showing students knowing Spanish ,
FS= Showing students both enrolled in one languages.
FS=F+S-(F∪S)
=18+21-25
=14
F-18-14=4
S=21-14
=7
4 outcomes lead to Michael being able to write both the languages are (F,S),(FS,S)(FS,F)(FS,FS)
Required probability is the sum of all the probabilities of (F,)(FS,S)(FS,F)(FS,FS)
P(F,S)=\(4C_{1}*7C_{1}/25C_{2}\)
=(4*7)/300
=28/300
P(FS,S)=\((14C_{1}*7C_{1} )/25C_{2}\)
=14*7/300
=98/300
P(FS,F)=\((14C_{1}*4C_{1} )/25C_{2}\)
=14*4/300
=56/300
P(FS,FS)=\(14C_{2}/25C_{2}\)
=91/300
Required probability=28/300+98/300+56/300+91/300
=(28+98+56+91)/300
=273/300
=91/100
Hence the probability that kids will be able to write both the languages is 0.91.
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what is an equation of the line that passes through the points (3, 4) and (-4, -3)?
Answer:
y = x + 1
Step-by-step explanation:
Equation of line : y = mx + b, m = slope, b = y intercept
Find slope, m
\(Slope, m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(= \frac{-3 - 4}{-4 - 3} \\\\=\frac{-7}{-7}\\\\=\frac{7}{7}\\\\= 1\)
Equation of line : \((x_1, y_1) = ( 3, 4 )\)
[ You can choose any set of points from the given points. ]
\((y - y_1) = m(x - x_1)\)
\((y - 4 ) = 1 \times ( x - 3)\\\\y - 4 = x - 3\\\\y = x - 3 + 4 \\\\y = x + 1\)
for a statistics exam, 14 students scored an a, 30 students scored a b, 92 students scored a c, 38 students scored a d, and 26 students scored an f. what is the relative frequency for students who scored a c? round the final answer to two decimal places.
The relative frequency for students who scored a C is 0.47 (rounded to two decimal places).
Relative frequency is defined as the ratio of the number of times an event occurs in a given data set to the total number of trials in the data set.
It is represented as a fraction, decimal, or percentage. It assists in the evaluation of probability in statistics.
To solve this question, we need to add the scores of students who scored a C and divide it by the total number of students.
Given that 14 students scored an A, 30 students scored a B, 92 students scored a C, 38 students scored a D, and 26 students scored an F.
The total number of students who took the exam is:14 + 30 + 92 + 38 + 26 = 200
Thus, the relative frequency of students who scored a C is:92 / 200 = 0.46 (rounded to two decimal places) or 46% (percentage form).
Therefore, the answer to the question "what is the relative frequency for students who scored a c? round the final answer to two decimal places" is 0.47.
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how would I do this?
Answer:
umm
Step-by-step explanation: