A local television news station includes a viewer survey question about a current issue at the beginning of every evening news broadcast. Viewers are invited to use social media to respond to the question. The results of the survey are shared with the audience at the end of each broadcast. In relation to the opinions of the population of the region, which of the following is a possible reason why the results of such surveys could be biased?

I. Viewers with strong opinions about the current issue are more likely to respond than are viewers without strong opinions.
II. The opinions of viewers of one television station are not necessarily representative of the population of a region.
III. Viewers with access to social media are not necessarily representative of the population of a region.

a. I only
b. II only
c. III only
d. II and III only
e. I, II, and III

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

Answer:

42x-42

Step-by-step explanation:

(7x)(6x)+(6)(-7)=42x°-42°

-1-1 or 2-4 or 3-5 or 6-8 or 7-9 or 8-10

Answer:

the value of the expression is 22

Step-by-step explanation:

a2 + 12 + b

- input numbers..

(-2)2 + 12 + 14

-4 + 12 + 14

8 + 14

22

final answer 22

Answer:

18 (see picture for detailed explanation)

Step-by-step explanation:

Plato/Edmentum

Answer:

35.6

Step-by-step explanation:

By the Pythagorean Theorem:

\( {x}^{2} + {91.3}^{2} = {98}^{2} \)

\(x = \sqrt{ {98}^{2} - {91.3}^{2} } = 35.6\)

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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Outliers are data points that are significantly different from the rest of the sample, typically more than three standard deviations away from the mean.

To determine whether a sample measurement is an outlier, we need to compare it to the mean and standard deviation of the sample data set. If the sample measurement is more than three standard deviations away from the mean, it is considered an outlier. If it is within three standard deviations of the mean, it is not considered an outlier. In this example, sample measurements a and c are outliers because they are more than three standard deviations away from the mean. Sample measurements b and d are not outliers because they are within three standard deviations of the mean.

the complete question is :

a sample data set has a mean of and a standard deviation of . determine whether each of the following sample measurements are outliers. a. b. c. d.

a. Yes, this is an outlier because it is more than 3 standard deviations above the mean.

b. No, this is not an outlier because it is within 3 standard deviations of the mean.

c. Yes, this is an outlier because it is more than 3 standard deviations below the mean.

d. No, this is not an outlier because it is within 3 standard deviations of the mean.

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Answer:

Step-by-step explanation:

\(\frac{15}{7} or \frac{26}{9}\)

Using the slope formula, the lines are:

1. Neither

2. Perpendicular

3. Neither

The slope formula is given as, m = change in y / change in x.

Slope of lines that are parallel are the same while slope of perpendicular line will give a product of -1.

1. Slope of L1 (m) = change in y / change in x = (6 - 0) / (0 - (-2))

m = 6/2

m = 3

Slope of L2 (m) = change in y / change in x = (3 - 3) / (0 - 1)

m = 0/-1

m = 0

Both lines are neither.

2. Slope of L1 (m) = change in y / change in x = (-2 - 2) / (8 - 6)

m = -4/2

m = -2

Slope of L2 (m) = change in y / change in x = (0 - 1) / (3 - 5)

m = -1/-2

m = 1/2

Both lines are perpendicular because (-2)(1/2) = -1

3. Slope of L1 (m) = change in y / change in x = (4 - (-1)) / (4 - (-5))

m = 5/9

Slope of L2 (m) = change in y / change in x = (10 - (-7)) / (8 - 4)

m = 17/4

The lines are neither.

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\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)

Answer: 0.75

Step-by-step explanation:

Answer:

21 children

Step-by-step explanation: 6.50x+8.75y=259

This equation came from the cost of the tickets for the children and adults.

x+y=35

This comes from the group of 35 people that consists of children and adults.

We can use substitution to solve for x and y.

x=35-y

6.50(35-y)+8.75y=259

227.5-6.50y+8.75y=259

227.5+2.25y=259

2.25y=31.5

y=14

Now that we have found y, we can plug it into any of the equations to find x.

x+14=35

x=21

Therefore, there are 21 children and 14 adults in the group.

i am going to answer question 1, so q1 is a number line

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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Answer:

10 feet

Step-by-step explanation:

20x6= 120

120/12=10

=10 ft

Answer: The answer is 10

Step-by-step explanation:

Step-by-step explanation:

the median is 4

the mean is 1+2+4+6+4+4/6

21/6=7\2

6.5 the mode is 4

Answer:

$7,362

Step-by-step explanation:

its easy multiplication

$245.40 x 30

Answer:

818

Step-by-step explanation:

you just divide 245.40 by 30 and is gives 8.18 but you take the decimal away Hope that helps

Answer:

Q1 = 32.5

Q3 = 50

D2 = 29

D8 = 52

67th percentile = 46.5

Step-by-step explanation:

Given the ordered data:

13, 13, 13, 20, 26, 29, 32, 33, 34, 34, 35, 35, 36, 37, 38, 41, 41, 41, 45, 46, 47, 47, 48, 52, 54, 55, 56, 62, 67, 82

The first quartile :

Q1 = 1/4(n+1)th term

n = sample size = 30

Q1 = 1/4(31) = 7.75 = (7th + 8th) / 2 = (32+33) / 2 = 32.5

Q3 = 3/4(n+1)th term

n = sample size = 30

Q3 = 3/4(31) = 23.25 = (23rd + 24th) / 2 = (48+52) / 2 = 50

D2 = 2nd decile

2 * 10% = 20%

20% * n

0.2 * 30 = 6th = 29

D8 = 8th decile

8 * 10% = 80%

80% * 30 = 24th = 52

67th percentile :

0.67 * 30 = 20.1 th

(20th + 21th) / 2

(46 + 47) / 2

= 46.5

Answer:

\(5 { \times 54}^{2} \)

Answer:

79 hhj cfgghh hjjjjhjbhh

Answer:

y=-x-1

Step-by-step explanation:

Answer:

28080$

Step-by-step explanation:

there are 52 weeks in a year.

15x10= 150

150x52=7800

13x30= 390

390x52= 20280

20280+7800= 28080

Answer:

Option A.

Step-by-step explanation:

I did this assignment last year. Hope this helps :)

Answer:

its the bottom one i think

Step-by-step explanation:

lipids are supposed to store energy