Step-by-step explanation:
Consider the case "Gun control"
(a). The second option,
"Would you favor a law giving police the power to decide who may own a firearm?"
is more favourable question to be asked for someone who opposes gun control.
Because it is expected that most americans would answer that they opposes that giving the police so much power and would likely to oppose Gun Control.
(b). How a Survey question is worded affects the result. Advocates who can afford to sponsor their own surveys can shape the result to try to demostrate support for their position.
Gun Control advocates may phrase a question
"Do you favour cracking down against illegal gun sales?"
While gun control opposition would ask
"Would you favour or oppose alaw giving the police the power to decide who may or may not own a firearm?"
Both question could result in both side of the issue appearing to having the majority of the people supporting their position. In this example a public opinion seems to divide into minorities at the 2 extremes, some favoring a ban on all guns others oppose any Gun COntrol. and a large middle mass that, presumably, favours keeping guns out of the hands of "Bad" people while letting "Good" people have guns.
The complexity of public opinion can be hard to recognize when our information comes from surveys sponsored by advocates who word questions to produce the results they desire.
PLS HELP
I need the value of x and pls show all the work that got you the answer
Answer:
2x+x+9=90°
3x=81
x=27
.......
IXL pls help!.....................
Answer:
7 meters
Step-by-step explanation:
Simple solving method:
15 - 8 = 7
Answer:
7 meters
Step-by-step explanation:
yayayayayayayay
b How
many
miles would
you 1 ride if you rode a quarter-century?
Answer:
A century ride is 100 miles, hence the "century" name. A 100-kilometer bike ride is called a "quarter century" and converts to roughly 62 miles.
# be care #
(a) If Q is the point (x, sin(16)),(1) 2(11)15Xfind the slope of the secant line PQ (correct to four decimal places) for the following values of x.
Given:
The point P is (1, 0).
The point Q is
\(Q(x,sin(\frac{16\pi}{x}))\)Required:
We need to find the slope of the scent line PQ when x=2.
Explanation:
i)
Replace x =2 in point Q.
\(Q(2,sin(\frac{16\pi}{2}))\)\(Q(2,sin(8\pi))\)Consider the slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(Substitute\text{ }x_1=1,y_1=0,x_2=2,\text{ and }y_2=sin(8\pi)\text{ in the formula.}\)\(m=\frac{sin(8\pi)-0}{2-1}\)\(Use\text{ sin\lparen}8\pi)=0.\)\(m=\frac{0}{1}=0\)The slope when x=2 is 0.0000.
ii)
Replace x =1.5 in point Q.
\(Q(1.5,sin(\frac{16\pi}{1.5}))\)\(Q(1.5,sin(\frac{32\pi}{3}))\)Consider the slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(Subst\imaginaryI tute\text{ x}_1=1,y_1=0,x_2=1.5,\text{ and }y_2=s\imaginaryI n(\frac{32\pi}{3})\text{ }\imaginaryI\text{n the formula}\)\(m=\frac{sin(\frac{32}{3}\pi)-0}{1.5-1}\)\(m=1.7320508\)\(m=1.7321\)The slope when x=1.5 is 1.7321.
iii)
Replace x =1.4 in point Q.
\(Q(1.4,sin(\frac{16\pi}{1.4}))\)\(Q(1.4,sin(\frac{80\pi}{7}))\)Consider the slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(Subst\imaginaryI tute\text{ x}_1=1,y_1=0,x_2=1.4,\text{ and }y_2=s\imaginaryI n(\frac{80\pi}{7})\text{ }\imaginaryI\text{n the formula}\)\(m=\frac{sin(\frac{80}{7}\pi)-0}{1.4-1}\)\(m=-2.43731978045\)\(m=-2.4373\)The slope when x=1.4 is -2.4373.
iv)
Replace x =1.3 in point Q.
\(Q(1.3,sin(\frac{16\pi}{1.3}))\)\(Q(1.3,sin(\frac{160\pi}{13}))\)Consider the slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(Subst\imaginaryI tute\text{ x}_1=1,y_1=0,x_2=1.3,\text{ and }y_2=s\imaginaryI n(\frac{160\pi}{13})\text{ }\imaginaryI\text{n the formula}\)\(m=\frac{sin(\frac{160}{13}\pi)-0}{1.3-1}\)\(m=2.74327955298\)\(m=2.7433\)The slope when x=1.3 is 2.7433.
v)
Replace x =1.2 in point Q.
\(Q(1.2,sin(\frac{16\pi}{1.2}))\)Consider the slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(Subst\imaginaryI tute\text{ x}_1=1,y_1=0,x_2=1.2,\text{ and }y_2=s\imaginaryI n(\frac{16\pi}{1.2})\text{ }\imaginaryI\text{n the formula}\)\(m=\frac{sin(\frac{16}{1.2}\pi)-0}{1.2-1}\)\(m=-4.33012701892\)\(m=-4.3301\)The slope when x=1.2 is -4.3301.
vi)
Replace x =1.1 in point Q.
\(Q(1.1,sin(\frac{16\pi}{1.1}))\)Consider the slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(Subst\imaginaryI tute\text{ x}_1=1,y_1=0,x_2=1.1,\text{ and }y_2=s\imaginaryI n(\frac{16\pi}{1.1})\text{ }\imaginaryI\text{n the formula}\)\(m=\frac{sin(\frac{16}{1.1}\pi)-0}{1.1-1}\)\(m=9.89821441881\)\(m=9.8982\)The slope when x=1.1 is 9.8982
vii)
Replace x =0.5 in point Q.
\(Q(0.5,sin(\frac{16\pi}{0.5}))\)Consider the slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(Subst\imaginaryI tute\text{ x}_1=1,y_1=0,x_2=0.5,\text{ and }y_2=s\imaginaryI n(\frac{16\pi}{0.5})\text{ }\imaginaryI\text{n the formula}\)\(m=\frac{sin(\frac{16}{0.5}\pi)-0}{0.5-1}\)\(m=0\)\(m=0.0000\)The slope when x=0.5 is 0.0000.
viii)
Replace x =0.6 in point Q.
\(Q(0.6,sin(\frac{16\pi}{0.6}))\)Consider the slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)\(Subst\imaginaryI tute\text{ x}_1=1,y_1=0,x_2=0.6,\text{ and }y_2=s\imaginaryI n(\frac{16\pi}{0.6})\text{ }\imaginaryI\text{n the formula}\)\(m=\frac{sin(\frac{16}{0.6}\pi)-0}{0.6-1}\)\(m=-2.16506350946\)\(m=-2.1651\)The slope when x=0.6 is -2.1651
Similarly, we get
The slope when x=0.7 is -1.4463
The slope when x=0.8 is 0.000
The slope when x=0.9 is 6.4279
We see that the values are not approaching any particular value.
As x approaches 1, the slope does not appear to be approaching any particular value.
B)
The graph of the given curve is
There are frequency oscillations near point 1.
We need to take x-values further to 1 to get the exact slope.
C)
The given curve is
\(f(x)=sin(\frac{16\pi}{x})\)\(Slope\text{ of the secent line=}\frac{f(a+h)-f(a)}{h}\)Here a=1.
\(Slope\text{ of the secent line=}\frac{f(1+h)-f(1)}{h}\)\(Slope\text{ of the secent line=}\frac{sin(\frac{16\pi}{1+h})-sin(16\pi)}{h}\)\(Slope\text{ of the secent line=}\frac{sin(\frac{16\pi}{1+h})}{h}\)Take limit h tends to zero.
\(Slope\text{ of the secent line=}\frac{sin(\frac{16\pi}{1+h})}{h}=\frac{0}{0}\text{ = not defined}\)Differentiate with respect to h.
\(Slope\text{ of the secent line=}\frac{sin(\frac{16\pi}{1+h})}{h}=\frac{0}{0}\text{ = not defined}\)
Four pounds of apples cost $5. Eight pounds of apples cost $10. If the total cost of apples, y, varies directly with the number of pounds of apples purchased, x, what is the cost of 6 pounds of apples? Round your answer to the nearest hundredth.
$0.80
$1.25
$4.80
$7.50
Cost of apples, y, varies directly with pounds
of apples purchased, x.
y = kx
k is constant of proportion
Four pounds of apples cost $5
5 = 4k
k = 5/4 = 1.25
10 = 8k
k = 10/8 = 1.25
As it should be, k is a constant equal to 1.25
y = 6(1.25) = $7.50 for 6 pounds of apples
Answer:
the answer is D
Step-by-step explanation:
i took the test on edg your welcome
Determine function of the following graph
3/4 + (1/3 ÷ 1/6) - (1/2) =
Answer:
.o55555555555555555555555
Step-by-step explanation:
For exponential functions of the form
f(x) = a^x, which of the following
expressions is equal to [f(1)]^2??
Click on the correct answer.
f(1^2)
f(1•2)
f(1 + 2)
Answer:
f(1·2)
Step-by-step explanation:
Subbing x=1 (f(1)) into the original function f(x)=a^x will give f(1)=a^1 which is simply equal to a. Therefore, if we were to do [f(1)]^2, we would just get a^2 because f(1) is equivalent to a. Out of the choice.s present, only f(1·2) is equal to a^2, because a^(1·2)=a^2
The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____.
Answer:
The standard error of the mean remains unchanged.
Step-by-step explanation:
Given that:
The standard error (S.E) of the mean \(= \dfrac{\sigma}{\sqrt{n}}\) with is independent of confidence coefficient.
The margin of error \(E = z \times S.E\)
This explains the claim that as the confidence coefficient reduces, the z-value also reduces, so as the Margin of error (E) but the standard error will always remain unchanged.
i.e.
From the question;
sample size n = 100
standard deviation = 1
mean = 3.0
The standard error (S.E) of the mean \(= \dfrac{1}{\sqrt{100}}\)
= 0.1
So, if the confidence coefficient is reduced to 0.80, the standard error of the mean remains unchanged.
A baker baked 836 chocolate chip cookies and 692 oatmeal cookies. He packed the cookies into 30 boxes. Each box contained 42 cookies. How many leftover cookies were there?
Answer:
She needs a "6" number of containers. A complete solution to the question is provided below.
Step-by-step explanation:
Between x = 0 and x = 1, which function has a greater average rate of change than y = 3x
?
Answer:
x=1
Step-by-step explanation:
y=3x so just add 1+3=4 then add veriable y=4x
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
kawika is a woodworker and he carves a block in the shape of a right triangular prism. what is the total surface area of the block
Answer:The answer is D
Step-by-step explanation:
I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared
Answer:
D :)
Step-by-step explanation:
wait, have you smiled today? its very important:)
factor completely x^3-8x^2-2x+16=
Answer:
(x-8)(x^2-2)
Step-by-step explanation:
take x common from the first 2 terms and take -2 common from the last two terms. Then, take (x-8) common.
x^2(x-8)-2(x-8) = (x-8)(x^2-2)
what is 12x^3-9x^2-4x+3 in factored form?
Answer: (3x^2-1)(4x-3)
============================
Work Shown:
Use the factor by grouping method
12x^3-9x^2-4x+3
(12x^3-9x^2)+(-4x+3)
3x^2(4x-3)-1(4x-3)
(3x^2-1)(4x-3)
Josephina likes the service received at her favorite cafe and wants to leave a 20% tip. Her bill is 22.00. how much should she leave as a tip
Answer:
4.40
Step-by-step explanation:
20% of 22.00 is 4.40
If b = -2, what is 3b-7 ?
tia equally shares 8 cookies among herself and 4 friends which fraction shows how many cookies each person gets?
answers:
8/4
8/5
5/8
4/8
Answer: The answer is 8/5
Answer:
Each person gets 8/5 part of cookie
1,1,1,2,2,2,2,3,4,4,5,7,8,12,14 what's the median mode and the and range for these numbers
Answer:
median: 3
mode: 2 (appeared 4 times)
range: 13
Step-by-step explanation:
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line with a slope of 1.45. See the figure below.
If the monthly cost for 13 HCF is $46.33, what is the monthly cost for 17 HCF?
The monthly cost for 17 hundred of cubic feet is $52.13.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the bill paid for x HCF of water.
The slope is 1.45, hence m = 1.45.
The monthly cost for 13 HCF is $46.33, hence:
46.33 = 1.45(13) + b
b = 27.48
y = 1.45x + 27.48
For 17 HCF:
y = 1.45(17) + 27.48 = 52.13
The monthly cost for 17 hundred of cubic feet is $52.13.
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determine the rate of change from the two points (3,4)(5,8)
Answer: 2
Step-by-step explanation:
8 - 4 = 4
5 - 3 = 2
4/2 = 2
Answer:
2Step-by-step explanation:
the rate of change or slope from the given two points is rise over run.
(3, 4) (5, 8)
slope = (y2 - y1) / (x2 - x1)
= (8 - 4) / (5 - 3)
= 4 / 2
= 2
please help me solve
Answer:
130 degrees
Step-by-step explanation:
DE+DA=130
what is 3/31 + 17/93 as a simple fraction in lowest terms please help fast !!
Answer:
26/93
Step-by-step explanation:
3/31=9/93
9/93 +17/93=26/93
If the car had not crashed into the fence, it would have skidded approximately another _____ before it came to a complete stop. (2 points)
The car would have skidded a further 625 metres of distance before coming to a complete halt if it hadn't slammed into the fence.
What is distance?How far apart objects or points are from one another is expressed numerically as distance. It is a scalar value that counts the distance travelled by an object between two places. There are numerous ways to measure distance, including in metres, kilometres, feet, miles, etc. For calculating other numbers, like speed or velocity, in physics, distance and time are frequently combined.
For instance, dividing the distance an object has gone by the amount of time it took to cover that distance can be used to determine its speed. The spatial relationships between objects or points are described using distance in many different disciplines, such as geography, navigation, and astronomy.
given:
We must know the car's initial speed as well as its deceleration in order to respond to this question (rate of slowing down).
With that knowledge in hand, we can apply the method below to determine how far the car would have skidded before coming to a complete stop:
distance = (v²) / (2a)
When the car's initial speed (v) and deceleration (a) are both given.
For instance, we could figure out how far the car skidded if its initial speed was 50 km/h and the deceleration was 5 m/s².
distance is equal to (50 km/h) / (2 * 5 m/s)
around 625 metres.
The car would have skidded a further 625 metres before coming to a complete halt if it hadn't slammed into the fence.
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The following data was collected from a simple random sample from a process (infinite population).
13 15 14 16 12
I've already determined that the point estimate of the population mean is 14 and the point estimate of the population std. deviation is 1.581.
What is the Mean of the Population?
A. 14
B. 15
C. 15.1581
D. Could be any Value.
The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.
The mean of the population is a measure of the central tendency of the population. It is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population would be calculated by adding the values of the sample (13, 15, 14, 16, 12) and dividing by the total number of values (5). The mean of the population is then 14 (13 + 15 + 14 + 16 + 12 / 5 = 14).
To calculate the mean of the population, we first need to calculate the sum of all the values in the population. This is done by adding the values of the sample together (13 + 15 + 14 + 16 + 12 = 70). We then divide the sum of the values by the total number of values in the population (70 / 5 = 14). This gives us the mean of the population, which is 14.
The mean of the population is a measure of the central tendency of the population, and it is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population was 14, which is the point estimate of the population mean that was determined from the simple random sample.
The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.
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17 The table below shows the distance a car has traveled.
50
20
f
40
Minutes
Distance
Traveled
(in miles)
What is the meaning of the slope of the linear model for the data?
60
100
a) The car travels 5 miles every minute.
b) The car travels 4 miles every minute.
c) The car travels 4 miles every 5 minutes.
d) The car travels 5 miles every 4 minutes.
125
80
100
Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.
Minutes | Distance Traveled (in miles)
50 | 20
20 | f
40 | 60
100 | a
125 | 80
100 | 100
To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:
Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.
Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.
Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.
Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.
Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.
Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:
Slope = Distance Change / Time Change
= 20 miles / 25 minutes
= 0.8 miles per minute
So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
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NEED HELP ASAP BRAINLIEST TO THE FASTEST.
Yolanda has two grandfather clocks in her home. One must be wound every six days. Other must be wound every 14 days. Yolanda winds up both clocks on December 15. When is the next time she will have to wind both of the clocks on the same day?
Answer:
January 26 or in 42 days
Step-by-step explanation:
The smallest amount of days that both grandfather clocks share is 42 days. 42 days from December 15 is January 26.
hope this helps :)
Need help answering question 5
Answer:
Step-by-step explanation:
PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
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length of a rectangle is 3 times its width. If the length is 9cm what is the area of the rectangle
Answer:
I think it's 27
because length is 3 times its width