\(\frac{1}{2}\) Or 2.
(Pretty sure it's the first option.)
Brainiest if correct? Ty!
Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and females, the following question: "Are you annoyed by people who repeatedly check their mobile phones while having an in-person conversation?" Among the 530 males surveyed, 175 responded "Yes"; among the 575 females surveyed, 218 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts below.
(a) Determine the sample proportion for each sample.
The proportions of the females and males who took the survey who are annoyed by the behavior in question are ____and _____ respectively. (Round to four decimal places as needed.)
(b) Explan why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply.
A. The sample size is more than 5% of the population size for each sample
B. The sample size is less than 5% of the population size for each sample
C. The samples are dependent.
D. The data come from a population that is nornally distributed.
E. np (1-) 10 and n2p2 (1-2) 210
F. The samples are independent.
(c) What are the null and alternative hypotheses? Let p1 represent the population proportion of females who are annoyed by the behavior in question and p2 represent the population proportion of males who are annoyed by the behavior in question.
Answer:
a)
The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively
b)
D) The data come from a Population that is Normally distributed
F) the samples are independent
c)
Null hypothesis: H₀: \(p_{m} ^{-} - p^{-} _{fm} \leq 0\)
Alternative Hypothesis H₁: \(p_{m} ^{-} - p^{-} _{fm} \geq 0\)
Step-by-step explanation:
Given data Among the 530 males surveyed, 175 responded "Yes
The sample proportion of males
\(p_{m} ^{-} = \frac{x}{n} = \frac{175}{530} = 0.3301\)
The sample proportion of 575 Females surveyed, 218 responded "Yes
\(p_{fem} ^{-} = \frac{x}{n} = \frac{218}{575} = 0.3791\)
a)
The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively
b)
The data come from a Population that is normally distributed.
The two samples are independent
c)
Null hypothesis: H₀: \(p_{m} ^{-} - p^{-} _{fm} \geq 0\)
Alternative Hypothesis H₁: \(p_{m} ^{-} - p^{-} _{fm} \leq 0\)
We will use two samples Z - hypothesis test
\(Z = \frac{p^{-} _{m} - p^{-} _{fem} }{se(p^{-} _{m}-p^{-} _{fem} ) }\)
\(Se(p_{m} -p_{fem}) = \sqrt{\frac{p_{m}(1-p_{m}) }{n_{m} }+\frac{p_{fem} (1-p_{fem} )}{n_{fem} } }\)
\(Se(p_{m} -p_{fem}) = \sqrt{\frac{0.3301(1-0.3301) }{530 }+\frac{0.3791(1-0.3791)}{575} }\)
\(Se(p_{m} ^{-} - p^{-} _{fem} ) = \sqrt{0.000826} = 0.0287\)
The test statistic
\(Z = \frac{0.3301-0.3791}{0.02875}\)
Z = -1.7043
|Z| = |-1.7043|
The tabulated value Z₀.₉₅ = 1.96
The calculated Z= 1.7043 < 1.96 at 0.05 level of significance
The null hypothesis is accepted
Conclusion:-
The evidence suggest not a higher proportion of females are annoyed by this behavior
Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56
Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .
Given ,
f(x) = \(4[(1/2)^{x}]\)
Mathematically the graph will of exponential in nature.
So,
Let us assume few values to understand the nature of graph.
Firstly,
Let x= 1
f(x) = \(4[(1/2)^{1}]\)
f(x) = 2
Let x = 2
f(x) = \(4[(1/2)^{2}]\)
f(x) = 1
Let x = 3
f(x) = \(4[(1/2)^{3}]\)
f(x) = 0.5
Thus from these values of f(x) corresponding to the values of x second graph will be correct .
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Evaluate the Piecewise Function. Please Hurry
The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.
what is piecewise function?
A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.
We have to evaluate the piecewise function for x = -1 and x = 9.
Let, function has value for x = -1 in the domain x ≤ 5 which is 11.
And function has value for x = 9 in the domain 6 < x which is 1.
⇒ f(-1) = 11 and f(9) = 1
Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.
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1/2and8/16 is Equivalent or not Equivalent
Answer:
They are equivalent.
Step-by-step explanation:
Find the interest earned on $1,000 for 1 year at a 6% rate of interest when the interest is compounded quarterly.
Answer:
1060
Step-by-step explanation:
Wheat grain is stored in a cylindrical silo of radius 10 metres and height 100 metres. when it is not full, a mechanism pours wheat grain into the silo so that the depth of grain is modelled by a cubic equation of the formd(t) = at^3 + bwhere d is measured in metres and t is in hours. There is already some wheat grain in the silo at a height of 7 metres. If the silo takes hours to fill, which are the correct values of a and b, expressed in their simplest form?O a = 7and b = 97/23O a = 97/23 and b =7O a = 31/9 and b = 7
The correct values of a and b, expressed in their simplest form is a = 7 and b = 97/23
An equation is a statement that shows the equality between two expressions. It contains an equal sign (=) and two sides that represent the same value.
To find the correct values of a and b, we need to use the given information about the silo's dimensions and the initial height of the grain. The radius of the silo is 10 meters and the height is 100 meters. The grain is initially at a height of 7 meters, so the remaining height that needs to be filled is
=> 100 - 7 = 93 meters.
Since we know that it takes hours to fill the silo, we can use this information to find the values of a and b. At the moment the silo is full, the depth of the grain is equal to the height of the silo, which is 100 meters. We can use this to form an equation:
d( ) = a³ + b = 100
We know that the total depth of the grain is the sum of the initial depth of 7 meters and the cubic equation that models the additional depth of the grain as more is poured into the silo. So we have:
d(t) = 7 + at³ + b
Now we can substitute this expression into the previous equation and solve for a and b:
7 + a³ + b = 100
a³ + b = 93
We have two unknowns, a and b, so we need another equation to solve for them. We can use the fact that the depth of the grain is zero when t is equal to the time it takes to fill the silo. This means that:
d( ) = 0 = 7 + a³ + b
Now we have two equations:
a³ + b = 93
a³ + b = -7
We can subtract the second equation from the first to eliminate b:
0 = 100
This is a contradiction, which means that there is no solution for a and b that satisfies the given conditions. Therefore, the answer is that there are no correct values of a and b expressed in their simplest form.
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En la feria el juego de gusano da 5 vueltas y equivale a 150 metros, calcula a cuento equivale lo siguiente: 8/4 de vuelta =_____3 4/6 de vuelta =_____1 4/6 de vuelta= _____3/4 de vuelta= ___4/6 de vuelta= ____7/9 de vuelta =___
las ecuaciones con fracciones dan:
8/4 de vuelta = 60m(3 + 4/6) de vuelta = 110m4/6 de vuelta = 20m3/4 de vuelta = 22.5m7/9 de vuelta= 23.33 m¿Cuanto vale cada una de las expresiones?Sabemos que 5 vueltas es igual a 150 metros, entonces cada vuelta es equivalente a:
v = 150m/5 = 30m
Es decir, cada vuelta equivale a 30 metros.
Ahora simplemente podemos resolver las ecuaciones con fracciones:
8/4 de vuelta = (8/4)*30m = 60m(3 + 4/6) de vuelta = (3 + 4/6)*30m = 110m4/6 de vuelta = (4/6)*30m = 20m3/4 de vuelta = (3/4)*30m = 22.5m7/9 de vuelta = (7/9)*30m = 23.33 mSi quieres aprender más sobre fracciones:
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In the expression 3x+7-9n+12, there are how many terms? *
Question 5 please and thank you
Answer:
Read explanation
Step-by-step explanation:
Whatever is underlined copy in:
58+3x-13=90, so 3x + 45 = 90
Then 3x=45 and x =15
m<MNQ = 3x -13 = 3(15)-13
= 45-13
=32
help me this question
Chelsea is reading a 250-page book that is divided into five chapters.
Number of Pages per Chapters what is the present of the books pages in chapter 4
Answer:
28%
Step-by-step explanation:
The bar graph shows that chapter four has 70 pages. In order to find percentage, multiply or divide the denominator until 100
70/250
÷ 10
7/25
x4
28/100
28%
Chapter 4 contains 28% of the book's pages
Simplify (a÷b)³×(b÷c)×(c÷a)³ when a=3,b=a²,c=a³
Answer:
To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.
Substituting the values of a, b, and c:
a = 3
b = a² = 3² = 9
c = a³ = 3³ = 27
Now let's simplify the expression:
(a÷b)³×(b÷c)×(c÷a)³
(3÷9)³×(9÷27)×(27÷3)³
Simplifying each term:
(3÷9) = 1/3
(9÷27) = 1/3
(27÷3) = 9
Now we can substitute the simplified values back into the expression:
(1/3)³×(1/3)×9
Simplifying further:
(1/27)×(1/3)×9
1/9
Therefore, the simplified expression is 1/9.
in a hurry! have to finish the practice test in 30mins, so I can take the real one!(CHECKING AWNSERS, SO ONLY NEED AWNSERS TO I CAN COMPARE)
The expression can be simplified as,
\(\begin{gathered} \frac{3}{x+2}+\frac{2}{x-3}=\frac{3(x-3)+2(x+2)}{(x-3)(x+2)} \\ =\frac{3x-9+2x+4}{(x-3)(x+2)} \\ =\frac{5x-5}{(x-3)(x+2)} \end{gathered}\)Thus, option (D) is the correct option.
A student's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the student's average score on the 5 tests to be 80?(A) 80(B) 82(C) 84(D) 86(E) 88
The student's score on a 5th test for the student's average score on the 5 tests to be 80 is (E) 88.
Average is given by the formula -
Average = sum of all the values ÷ number of values
Taking the case of four tests first, to find the total marks.
Total marks = 78 × 4
Performing multiplication
Total marks = 312
Now, let us assume the student's marks on fifth test be x. So,
80 = (312 + x)/5
Rewriting the equation -
312 + x = 80 × 5
Performing multiplication on Right Hand Side
312 + x = 400
x = 400 - 312
Performing subtraction on Right Hand Side
x = 88
Thus, the student should score 88 marks now.
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A construction company will be penalized each day of delay in construction for bridge. The penalty will be $4000 for the first day and will increase by $10000 for each following day. Based on its budget, the company can afford to pay a maximum of $ 165000 toward penalty. Find the maximum number of days by which the completion of work can be delayed.
Answer:
The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.
Step-by-step explanation:
We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is
\(S_{n}\) = 165000.
Let us find the amount as arithmetic series as follows:
4000 + 5000 + 6000
The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.
We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:
\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)
The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )
Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:
Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)
⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]
⇒ 2 x 165000 = n(8000 + 1000n - 1000 )
⇒ 330000 = n(7000 + 1000n)
⇒ 330000 = 7000n + \(1000n^2\)
⇒ \(1000n^2\) + 7000n - 330000 = 0
⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0
⇒ \(n^2\) + 7n - 330 = 0
⇒ \(n^2\) + 22n - 15n - 330 = 0
⇒ n( n + 22 ) - 15 ( n + 22 ) = 0
⇒ ( n + 22 )( n - 15 ) = 0
⇒ n = -22, n = 15
We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.
Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.
What is a ratio equivalent to 3:4 ? 3/4 2/3 4/3
Question 3
Not yet answered
Find the value of h
Marked out of 1.00
P Flag question
B
10cm
hcm
60°
5cm
What is the value for h?
Answer:
20 degrees
Step-by-step explanation:
Two data sets are summarized in the box plots shown.
Plot A
Plot B
H
H>
9 10 11 12 13 14
4 5
6
7
8
9 10 11 12 13 14 15 16
45
6
Z
8
Which statements comparing the two box plots are correct? Choose all the correct statements.
A. The mean of plot B is greater than the mean of plot A.
B. The range of plot B is greater than the range of plot A.
C. The median of plot B is the same as the median of plot A.
D. The interquartile range of plot B is the same as the interquartile range of plot A.
Answer: A,D
Step-by-step explanation:
I took the test
if you actually know the answer please give me an explanation of the answer so i know you're not just answering for points.
Answer:
i think it's A but I'm not to sure
Step-by-step explanation:
don't count my word for it just here with a geuss
Select the correct answer.
Answer:it might be A
To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A √114
B √52
C 2020
D 5252
E 25
By using the formula for the distance we will see that the correct option is B:
√52
What distance did she find?
We will use the general formula to find the distance between two points (a, b) and (c, d)
it is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:
distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)
distance = √52
The correct option is B.
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The total movie attendance in a country was 1.16 billion people in 1990 and 1.40 billion in 2008. Assume that the pattern in movie attendance is linear function of time. (Need to answer questions a-d for this question - pic attached)
a)
In order to find a function M(t), first let's identify two ordered pairs that are solutions to the equation.
From the given information, we have the ordered pairs (1990, 1.16) and (2008, 1.4).
Using these ordered pairs, let's find the slope-intercept form of a linear equation (y = mx + b)
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{1.4-1.16}{2008-1990}=\frac{0.24}{18}=0.01333 \\ \\ y=mx+b \\ 1.16=1990\cdot0.01333+b \\ b=-25.3667 \\ \\ y=0.01333x-25.3667 \end{gathered}\)So the equation is M = 0.01333t - 25.3667
The independent variable represents the year (correct option: first one)
b)
The slope represents the change in M over the change in t, that is, it represents the change in attendance over a year (correct option: first one)
c)
For t = 2015, we have:
\(\begin{gathered} M=0.01333\cdot2015-25.3667 \\ M=26.86-25.37 \\ M=1.49 \end{gathered}\)d)
For M = 1.5, we have:
\(\begin{gathered} 1.5=0.01333\cdot t-25.3667 \\ 0.01333t=26.8667 \\ t=2015.5 \end{gathered}\)What is the x-intercept of the graph?
Answer: (6,0)
Step-by-step explanation: To find the x-intercept, we plug a 0 in for y.
So we have 2x - 3(0) = 12.
Simplifying from here, we have 2x = 12.
Now divide both sides by 2 and we get x = 6.
So our x-intercept is 6.
This means that our line crosses the x-axis 6
units to the right of the origin or at the point (6,0).
Answer:
(6,0)
Step-by-step explanation:
The x intercept is where the graph crosses the x axis
pls help me i will give u thanks
Answer:
c) (6,5)
Step-by-step explanation:
The horizontal axis represents x values
The vertical axis represents y values
Let f(x) = 2x2 + x − 3 and g(x) = x + 2.
Find (f • g)(x)
Answer:
\((f\cdot g)(x) = 2x^3 + 5x^2-x-6\)
Step-by-step explanation:
We are given the two functions:
\(f(x)=2x^2+x-3\text{ and } g(x)=x+2\)
And we want to find:
\((f \cdot g)(x)\)
Recall that this is equivalent to:
\(=f(x)\cdot g(x)\)
Substitute. Hence:
\((f\cdot g)(x)= (2x^2+x-3)(x+2)\)
Expand if desired:
\(\displaystyle = x(2x^2+x-3)+2(2x^2+x-3) \\ \\ = (2x^3+x^2-3x)+(4x^2+2x-6) \\ \\\ = 2x^3 + 5x^2-x-6\)
Answer:
2x^3+5x^2-x-6
Step-by-step explanation:
f(x) = 2x^2 + x − 3 and g(x) = x + 2.
(f • g)(x) = (2x^2 + x − 3 ) * (x + 2)
Distribute
= (2x^2 + x − 3 )*x + (2x^2 + x − 3 )*2
= 2x^3 +x^2 -3x + 4x^2 +2x -6
Combine like terms
=2x^3+5x^2-x-6
your time to shine you smart and bright people hahah
g (x)=√-3x+6
Look at photo please
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
3 sisters age combined are 57. Jenny is 6 years
older then Lynn. Kim is 5 less then twice the age of
Lynn age. What are each sisters ages
Answer:
Step-by-step explanation:
Jenny is 20 years old
Lynn is 14 years old
Kim is 23 years old
I do not remember how to solve this
Answer:
Your answer is correct
Step-by-step explanation:
Use the rules of exponents to simplify the expression.
(q⁶)²To raise a power to another power, multiply the exponents.
q⁶ˣ²Multiply 6 by 2.
q¹²The correct option is the third.
SkandarA magician performs in a hall that has a seating capacity of 1,000 spectators. With ticket prices set at $47, average attendance has been 640 spectators. A marketing survey shows that for each dollar the ticket price is lowered, the average attendance increases by 20. Find the price that maximizes revenue from ticket sales.
The price that maximizes revenue from ticket sales is $ 11, 445.
We have,
Ticket price = $47
Let x the decreasing number of the ticket price.
So, The revenue is
R = ticket price x numbers of spectator
R(x) = ( 47 - x ) ( 640 + 20x)
= 30,800 + 940x - 640x -20x²
= -20x² + 300x + 30,800
Now, Taking derivatives on both sides
R'(x) = -40x + 300
and, R'(x) = 0
-40x = -300
x = 7.5
So, the price per ticket is
= 47- 7.5
= $ 39.5
and, R(max) = -20(39.5)² + 300(39.5) + 30,800
R(max) = -31205 + 42650
R(max) = $ 11, 445
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Answer:
$39.50
Step-by-step explanation: