The local news is conducting a poll of the residents’ opinions regarding a new traffic law that is being proposed. At the end of a news segment, viewers had the opportunity to dial in or use social media to choose whether they agree or disagree with the law. A large sample size was represented, and this poll was repeated again one week later with similar results. When working with this data, which of the following statements best applies?

a. The surveys are biased because people chose to respond or not.
b. Because of the large sample size, the results are most accurate of all members of the community.
c. The same sampling methods were used for both polls, demonstrating reliability.

Answer:

4 cm^2/cm

Step-by-step explanation:

The area of a square is given by the equation:

[tex]Area = side^2[/tex]

To find the rate at which the area increases, we just need to find the derivative of the area in relation to the side:

[tex]dA/ds = 2*side[/tex]

So, when the side length is 2 cm, the rate at which the area increases is:

[tex]dA/ds = 2*2 = 4\ cm^2/cm[/tex]

When the side length is 2 cm, the area increases at 4 cm^2/cm.

Answer: [tex]C. f(x) = 3(2^x)[/tex].

Step-by-step explanation:

If the graph of function y=f(x) is vertically stretched by a scale factor of 'k', then the new function will be :

[tex]Y=kf(x)[/tex]

The given function : [tex]f(x)=2^x[/tex]

If the given function vertically stretched by a scale factor of '3', then the new function will be :

[tex]Y=3f(x)=3(2^x)[/tex]

Hence, the correct option is [tex]C. f(x) = 3(2^x)[/tex].

Answer:

The value of "x" is 34 and the value of "y" is 17.

Step-by-step explanation:

"x" is shown as 34 and "y" is shown on the rectangular shape in the number form of 17. If your trying to find the area of the rectangle the area is 578.

Answer:

Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.

To find: 'x' the larger leg of triangle

Solution,

Using let rule for similarity in right triangle:

[tex] \frac{leg}{part} = \frac{hypotenuse}{leg} \\ or \: \frac{x}{27} = \frac{3 + 27}{x} \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \: {x}^{2} = 810 \\ or \: {x}^{2} = 81 \times 10 \\ or \: {x} = \sqrt{81 \times 10} \\ or \: x = \sqrt{81} \times \sqrt{10} \\ or \: x = \sqrt{ {(9)}^{2} } \times \sqrt{10} \\ \: x = 9 \sqrt{10} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

  64π in²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

where r is the radius.

The radius of a circle is half the diameter. For the circle shown, the radius is ...

  r = d/2 = (16 in)/2 = 8 in

Then the area is ...

  A = π(8 in)² = 64π in²

_____

Often, units are left off, so the appropriate choice might be 64π.

_____

If you want to be technically correct (at the expense of getting your answer marked wrong), you can select "None of the above." That is because none of the offered choices have the correct units: square inches. You may want to discuss this with your teacher.

Answer:

$225 = $1250*0.04*4

Step-by-step explanation:

The appropriate formula to use here is i = p*r*t, where p is the principal, r is the annual interest rate as a decimal fraction, and t is the number of years.

Here:

$225 = p*0.045*4 represents this relationship.  p, the principal, is not given, but can be calculated from the above equation:

             $225

p = -------------------- = $1250

       0.045*4

Then the given relationship is

$225 = $1250*0.04*4

Answer:

n = $1250rt

Step-by-step explanation:

Answer:

[tex]P = \frac{1}{3}[/tex]

Step-by-step explanation:

The calculation of the value of p minimizes is shown below:-

We will assume the probability of coming heads be p

p(H) = p

p(T) = 1 - P

Now, H and T are only outcomes of flipping a coin

So,

P(TTH) = (1 - P) = (1 - P) (1 - P) P

= (1 + P^2 - 2 P) P

= P^3 - 2P^2 + P

In order to less N,TTH

we need to increase P(TTH)

The equation will be

[tex]\frac{d P(TTH)}{dP} = 0[/tex]

3P^2 - 4P + 1 = 0

(3P - 1) (P - 1) = 0

P = 1 and 1 ÷ 3

For P(TTH) to be maximum

[tex]\frac{d^2 P(TTH)}{dP} < 0 for\ P\ critical\\\\\frac{d (3P^2 - 4P - 1)}{dP}[/tex]

= 6P - 4

and

(6P - 4) is negative which is for

[tex]P = \frac{1}{3}[/tex]

Answer:

d. y ˆ =269,000−8300x

Step-by-step explanation:

If the regression describes the amount of dollars left after a single donation as a function of time, the regression must consist of a positive lump sum subtracted by an yearly rate. This rules out alternatives a, c, and e.

Since this equation must represent the amount left after 10 years, it must yield a positive value up to at least x = 10.

For equation b., when x = 10:

[tex]y=69,000-8,300*10\\y=-14,000[/tex]

For equation d., when x = 10:

[tex]y=269,000-8,300*10\\y=186,000[/tex]

Therefore, the only possible answer is d. y ˆ =269,000−8300x

Answer:

136°

Step-by-step explanation:

x and 44° represents the measures of opposite angles of a cyclic quadrilateral.

Since, opposite angles of a cyclic quadrilateral are supplementary.

[tex] \therefore \: x + 44 \degree = 180 \degree \\ \therefore \: x = 180 \degree - 44 \degree \\ \therefore \: x = 136 \degree[/tex]

Answer:

x = 136°

Step-by-step explanation:

180° = x + 44°

180 - 44 = x + 44-44

136° = x

= 136°

Answer:

  32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

  C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

  ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

  ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

__

For t=20, this is ...

  ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

  (150 -C)/(60 -C) = 4.225

  1 +90/(60 -C) = 4.225

  C = 60 -90/3.225 ≈ 32.093 . . . . . grams of product in 20 minutes

In 20 minutes, about 32.1 grams of C are formed.

Answer:

9x^2-25

Step-by-step explanation:

You can solve this problem by using FOIL:

    - FOIL (First, Outer, Inner, Last)

First: 3x*3x= 9x^2

Outer: 3x*-5= -15x

Inner: 3x*5 = 15x

Last: 5*-5= -25

Now add what we got together:

9x^2 -15x +15x -25

Answer: 9x^2 - 25

Note: Whenever when we see conjugates(coefficients of variables are same but real numbers are opposites) like these we can ignore the outer and inner of the foil process as they cancel out.

Hope this helps!

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

            Hi my lil bunny!

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[tex]9x^2 - 25[/tex]

Explanation:

[tex]( a + b) ( a - b ) = a^2 - b^2[/tex]

Substitute with 3x and b with 5:

[tex](3x + 5) (3x - 5) = (3x)^2 - 5^2\\[/tex]

[tex]= 9x^2 - 25[/tex]

∴ [tex]( 3x + 5) ( 3x - 5) = 9x^2 - 25[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

Don't quote me i think the poulation of 3

Step-by-step explanation:

for 9 suared is 81 so it cant be squared for then it would be 81cm and the one you need can not be longer than 1cm

The minimum sample size should be 35.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

Given:

Variance= 9

So, standard deviation= √9 = 3

and, The critical z-score values when using a 95 percent confidence level are -1.96 and +1.96 standard deviations.

Then, Sample size= Critical value x SD / Margin error

= 1.96 x √ 3 / 139

= 34.57

= 35

Hence, the minimum sample size should be 35.

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Answer:

Using a 90% confidence level

A. A sample size of 68 should be used.

B. A sample size of 98 should be used.

Step-by-step explanation:

I think there was a small typing mistake and the confidence level was left out. I will use a 90% confidence level.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

A. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 72 seconds, what sample size should be used?

We have the standard deviation in minutes, so the margin of error should be in minutes.

72 seconds is 72/60 = 1.2 minutes.

So we need a sample size of n, and n is found when M = 1.2. We have that [tex]\sigma = 6[/tex]. So

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1.2 = 1.645*\frac{6}{\sqrt{n}}[/tex]

[tex]1.2\sqrt{n} = 6*1.645[/tex]

[tex]\sqrt{n} = \frac{6*1.645}{1.2}[/tex]

[tex](\sqrt{n})^{2} = (\frac{6*1.645}{1.2})^{2}[/tex]

[tex]n = 67.65[/tex]

Rounding up.

A sample size of 68 should be used.

B. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used?

Same logic as above, just use M = 1.

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = 1.645*\frac{6}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 6*1.645[/tex]

[tex](\sqrt{n})^{2} = (6*1.645)^2[/tex]

[tex]n = 97.42[/tex]

Rounding up

A sample size of 98 should be used.

Answer:

Probability of having at least 4 Girls

= 0.6875

Step-by-step explanation:

Probability of having at least 4 Girls is 1-probability of having exactly 3 girls

Total number of children= 5 = N

Probability of having a girl p = 0.5

Probability of not having a girl q= 0.5

X= 3

Probability of at least 4 girls is given by

Probability= NCX(p)^x(q)^(N-x)

Probability = 5C3(0.5)^3(0.5)^(5-3)

Probability = 5C3(0.5)^3(0.5)^2

Probability= 5!/3!2!(0.5)^3(0.5)^2

Probability= 10(0.125)(0.25)

Probability= 0.3125

Probability of having at least 4 Girls

= 1- 0.3125

= 0.6875

Answer:

Answer D: Construct Y because it constructs the circumcenter.

Step-by-step explanation:

Point E has equal distance to L,M and N, because it is the center of a circle that goes through all 3 of them. The circumcenter is the center of a circle circumscribed about (drawn around) the triangle.

Answer:

A.18/25

B.72% of them brought in their permission slips

C.0.72

D.There the exact same value and we would divide by 100 to go from percentage to decimal and multiply by 100 to go to decimal to percentage Sign.

Step-by-step explanation:

Answer:

From my knowledge I would say M= 31 km

Step-by-step explanation:

For each hour you subtract 20 kilometers.

Since the sixth hour was 51 kilometers,to find how many kilometers for the seventh hour we simply subtract 20 from 51.

51- 20 = 31

I really hope this helps:)

Answer:

122.6 pounds

Step-by-step explanation:

Let's call the weight of the largest fish from lake A 'x', and the weight of the largest fish from lake B 'y'.

If x is 208.2 pounds less than seven times y, we have that:

[tex]x = 7y - 208.2[/tex]

We know that x is equal 650 pounds, so we can find y:

[tex]650 = 7y - 208.2[/tex]

[tex]7y = 650 + 208.2[/tex]

[tex]7y = 858.2[/tex]

[tex]y = 122.6\ pounds[/tex]

So the weight of the largest fish caught in Lake B is 122.6 pounds

The α = 0.05 and the p-value (0.034) is less than α, we reject the null hypothesis. There is sufficient evidence to support the researcher's contention that last-minute filers  receive lower average tax refunds than early filers. Since the test statistic is more extreme than the critical value, we reject the null hypothesis.

a.

Hypotheses:

Null Hypothesis [tex](H_0)[/tex]: There is no difference in the average tax refund amount between early filers and last-minute filers .

Alternative Hypothesis [tex](H_a)[/tex]: Last-minute filers  receive lower average tax refunds than early filers.

Mathematically:

[tex]H_0[/tex]: μ_last_minute = μ_early

[tex]H_a[/tex]: μ_last_minute < μ_early

where:

μ_last_minute = population mean refund for last-minute filers

μ_early = population mean refund for early filers

b.

Given information:

Sample mean for last-minute filers = $910

Population standard deviation (σ) = $1600

Sample size (n) = 400

To calculate the test statistic and the p-value, use the formula:

[tex]z = (\bar x - \mu) / (\sigma / \sqrt n)[/tex]

Where:

[tex]\bar x[/tex] = sample mean

μ = hypothesized population mean under the null hypothesis

σ = population standard deviation

n = sample size

Plugging in the values:

z = ($910 - $1056) / ($1600 / √400)

z = ($910 - $1056) / ($1600 / 20)

z = -$146 / 80

z ≈ -1.825

c.

To find the p-value associated with the test statistic, use a standard normal distribution table. For a one-tailed test with a z-score of -1.825, the p-value is approximately 0.034.

d.

Critical value approach:

To perform the hypothesis test using the critical value approach, we first need to find the critical value corresponding to α = 0.05 and a one-tailed test.

For a significance level (α) of 0.05, the critical value is approximately -1.645.

Now, the test statistic we calculated previously was -1.825.

Conclusion: The p-value is less than α, we reject the [tex](H_0)[/tex].There is sufficient evidence to support the researcher's contention that last-minute filers  receive lower average tax refunds than early filers. Since the test statistic is more extreme than the critical value, we reject the null hypothesis.

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Answer:

2/3

Step-by-step explanation:

There are 4 numbers that fit the rule, 3, 4, 7, 8 since they are either less than 5 or greater than 6. There are 6 numbers so the chance would be 4/6 or simplified, 2/3.

Answer:

2/3

Step-by-step explanation:

There are 6 options, 2 of them > 6 and 2 of them < 5

P (greater than 6 or less than 5)= 4/6= 2/3

Answer:

The 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys is (0.116, 0.19).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 623, \pi = \frac{95}{623} = 0.153[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.153 - 2.575\sqrt{\frac{0.153*0.848}{623}} = 0.116[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1525 + 2.575\sqrt{\frac{0.153*0.845}{623}} = 0.19[/tex]

The 99% confidence interval for the proportion of adults who regularly lie to people conducting surveys is (0.116, 0.19).

Answer:

  ratio

Step-by-step explanation:

The levels of measurement are ...

Both interval and ratio level measurements deal with numerical data. The difference is that ratio-level measurements use a numerical scale that includes an absolute zero, and scale values are proportional to the quantity they represent.

Price data is a ratio level of measurement.

Answer:

B.

Step-by-step explanation:

Let's call x the number of pens and y the number of notebooks that Monique can buy.

If each pen costs $2 and each notebook costs $3, so she is going to spend 2*x on pens and she is going to spend 3*y on notebooks.

Additionally, she is going to spend a maximum of $36. so:

2x + 3y [tex]\leq[/tex] 36

It means that the line that  separated the region is:

2x + 3y = 36

This is the same that a line that passes for the points (0,12) and (18,0) or the line of the region B

Answer:

1/3( x-5)= -2/3

Multiply both sides by 3

x = 3

Step-by-step explanation:

1/3( x-5)= -2/3

Multiply both sides by 3

3*1/3( x-5)= -2/3*3

x-5 = -2

Add 5 to each side

x-5+5 = -2+5

x = 3

Answer:

1/3( x-5)= -2/3

Multiply both sides by 3

x = 3

Step-by-step explanation:

1/3( x-5)= -2/3

Multiply both sides by 3

3*1/3( x-5)= -2/3*3

x-5 = -2

Add 5 to each side

x-5+5 = -2+5

x = 3

Hope this helps!

Answer: 375%

Step-by-step explanation:

375%.  Simply do 2250/600 to get 3.75, or 375%.

Hope it helps <3

Answer:

10 mph

Step-by-step explanation:

The top speed you will ever need to go in a parking lot is 10 mph.

15 mph is the fastest you should ever drive in a parking lot. The right answer is D.

The National Motorists Association was established in 1982 and is a divisive nonprofit advocacy group representing drivers in North America.

The Association promotes engineering standards that have been demonstrated to be effective, justly drafted and applied traffic legislation, and full due process for drivers.

Given to give information about the top speed you will ever need

to go into a parking lot is,

A group of drivers came together to form the National Motorists Association, Inc., a non-profit organization, to defend drivers' rights in the legal system, on the highways, and inside our cars.

Usually, there are marked speed limits in parking lots. Obey speed limits when you see them to avoid tickets and to keep everyone safe.

The National Motorists Association advises driving no faster than 15 miles per hour at all times when there are no written speed limits.

Therefore, the correct option is D.

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Answer:

slope = 1/3, equation is y = 1/3x - 2

Step-by-step explanation:

slope formula = change in y / change in x

= (0 - (-2)) / (6 - 0) = 2 / 6 = 1/3

Since we know the slope and the y-intercept we can write the equation in slope-intercept form which will be y = 1/3x - 2.

Answer:

y=1/3x -2

Step-by-step explanation:

points (0, -2) and (6, 0)

Slope- intercept form:

y=mx+b

y=1/3x+b

y=1/3x -2

Answer:

If Avery decides to deposit $7,000 for 5 years, the bank would be the better deal would be bank is offering a rate of 3%

compounded annually

Step-by-step explanation:

In order to calculate which bank would be the better deal If Avery decides to deposit $7,000 for 5 years, we would have to make the following calculation:

simple interest rate of 32%.

Therefore, I= P*r*t

=$7,000*32%*5

=$11,200.

compound interest rate of 3%

Therefore, FV=PV(1+r)∧n

FV=$7,000(1+0.03)∧5

FV=$8,114.

If Avery decides to deposit $7,000 for 5 years, the bank would be the better deal would be bank is offering a rate of 3%

compounded annually

Step-by-step explanation:

81

I think this should be the answer