The mayor of the city of Portland wants to increase taxes to invest in a bridge. She hires a polling agency to select at random 500 registered voters in the city to survey to determine the maximum percentage increase in municipal taxes that they would approve.


Part A: What is the population in this survey? Explain your answer using complete sentences. (1 point)


Part B: What is the population parameter? Explain your answer using complete sentences. (2 points)


Part C: What is the sample in this survey? Explain your answer using complete sentences. (2 points) (5 points)

Answer: Yes

Step-by-step explanation:

We don't know the value of n and you are subtracting it from both sides.

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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The $$P(X>2)=1-F_x(2)=1-1=0$$Thus, $P(X>2)=0$.

Given that c.d.f of a random variable is $F_x(x)$, then if $x<0$,$$F_x(x)=1$$and if $x\geq 0$, then$$F_x(x)=\frac{x}{2}$$To compute $P(X>2)$, we have$$P(X>2) = 1 - P(X\leq 2)$$$$P(X\leq 2) = F_x(2)$$. Since $2>0$, we have$$F_x(2) = \frac{2}{2}=1$$

The natural and social sciences frequently utilise normal distributions to describe real-valued random variables whose distributions are unknown, which is why normal distributions are essential in statistics. The central limit theorem contributes to some of their significance. According to this statement, under some circumstances, the average of numerous samples (observations) of a random variable with finite mean and variance is itself a random variable, whose distribution converges to a normal distribution as the number of samples rises. As a result, the distributions of physical quantities, such as measurement errors, that are predicted to be the sum of numerous distinct processes frequently resemble normal distributions.

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Answer:

D : 1 1/2

Step-by-step explanation:

150% converted into a decimal is 1.5, this is the same as 1 1/2, so the answer is D.

hope this helps :)

The 150% as a fraction in simplest form is D. 1 1/2

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have to write 150% as a fraction in simplest form.

So we put 150 over 100

That is (150/100)

Now multiply the top and the bottom by 10 to get rid of the decimal  as;

15/10

1.5 = 1 1/2

Hence, the fraction in simplest form is 1 1/2

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Answer:

177.008in^3

Step-by-step explanation:

Given data

Height= 10.4in

Lenght= 7.4in

Width= 2.3in

The expression for the volume of a box is given as

Volume= Length*width*Height

Volume= 10.4*7.4*2.3

Volume= 177.008 in^3

Hence the volume is 177.008in^3

Answer: -30

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

A = 1/2bh for a triangle.

36 = 1/2b(12)

36 = 6b

----    ----

6        6

b = 6

Answer:

\(64.147^{\circ}\)

Step-by-step explanation:

The explanation is attached below.

Answer:

It would be $12 overestimate

Step-by-step explanation:

$2.19 rounded to one significant figure would be $2.00

$2.00 multiplied by 6 would be $12

However since 19 cents is over $2, this means it's a definite overestimate

Hope this helps! :)

Answer:

\(\left(3c-2\right)\left(6a-5\right)\)

Step-by-step explanation:

\(18ac - 12a - 15c + 10\\\\=\left(18ac-12a\right)+\left(-15c+10\right)\\\\\mathrm{Factor\:out\:}-5\mathrm{\:from\:}-15c+10\mathrm{:\quad }-5\left(3c-2\right)\\\\\mathrm{Factor\:out\:}6a\mathrm{\:from\:}18ac-12a\mathrm{:\quad }6a\left(3c-2\right)\\\\=-5\left(3c-2\right)+6a\left(3c-2\right)\\\\\mathrm{Factor\:out\:common\:term\:}3c-2\\\\=\left(3c-2\right)\left(6a-5\right)\)

(3c-2)(6a-5)

Explain

18ac-12a-15c+10

(18ac-12a)+(-15c+10)

Factor out -5 from-15c+10: -5(3c-2)

Factor out 6a from 18ac-12a: 6a(3c-2)

= -5(3c-2)+6a(3c-2)

Factor out common terms 3c-2

(3c-2)(6a-5)

:) Hope you enjoy :)

Using the known Maclaurin series expansion for e^x: e^x = 1 + x + (x^2 / 2!) + (x^3 / 3!) + ...

We can obtain the Maclaurin series for the function f(x) = xe^(7x) by multiplying the Maclaurin series for e^x by x:

f(x) = x(1 + 7x + (7x)^2 / 2! + (7x)^3 / 3! + ...)

Simplifying further:

f(x) = x + 7x^2 + (49x^3 / 2!) + (343x^4 / 3!) + ...

Therefore, the Maclaurin series expansion for f(x) is:

f(x) = x + 7x^2 + (49x^3 / 2!) + (343x^4 / 3!) + ...

The associated radius of convergence, R, can be determined by applying the ratio test. In this case, we have an infinite power series with terms involving powers of x. The ratio test states that if the limit of |a_(n+1) / a_n| as n approaches infinity is L, then the radius of convergence is R = 1 / L.

In our case, applying the ratio test yields a limit of 0 as n approaches infinity. Therefore, the radius of convergence R is infinite, indicating that the Maclaurin series for f(x) converges for all values of x.

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Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we simplify the expression inside the parentheses:

4 + 2 = 6

Next, we square the result:

6² = 36

Now, we substitute the squared result back into the expression:

6(36) - 32

Next, we perform the multiplication:

6 * 36 = 216

Finally, we subtract 32:

216 - 32 = 184

Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.

Answer:

500 calories an hour are burnt.

Step-by-step explanation:

45 is 3/4 of 60, so 375 is 3/4 of an hour of jogging. If we divide 375 by 3 we will get how many calories are burnt every 1/4 of an hour.

375 / 3 = 125

Now that we know what 1/4 of an hour equals we can add 125, 4 times to find the number of burnt calories in an hour of running.

125 + 125 + 125 + 125 = 500

that means jogging burns 500 calories an hour.

Answer:

d=1

Step-by-step explanation:

(i have to write this cuz i cant write less than 20 words)

Zorch would need to exert the opposing force for approximately 1.15 years to slow Earth's rotation to once per 35.0 hours.

To determine the time required for Zorch to accomplish his goal, we can follow the steps in the Problem-Solving Strategy for Rotational Dynamics:

Step 1: Identify what is given and what is asked for.

Given:

Force exerted by Zorch: 3.70×10^7 N

Desired period of Earth's rotation: 35.0 hours

Asked for:

Time Zorch must push with this force

Step 2: Identify the principle(s) or equation(s) needed to solve the problem.

The principle of rotational dynamics that we can use is:

Torque (τ) = Inertia (I) × Angular Acceleration (α)

Step 3: Set up the problem.

Zorch wants to slow down Earth's rotation, which means he wants to decrease its angular velocity. To do this, he needs to exert a torque in the opposite direction of Earth's rotation. The torque required can be calculated as:

τ = I × α

Step 4: Solve the problem.

The inertia (I) of Earth can be approximated as I = 0.330 × 10^38 kg·m² (a known value).

The angular acceleration (α) can be calculated using the equation:

α = Δω / Δt

Since Zorch wants to slow Earth's rotation to once per 35.0 hours, the change in angular velocity (Δω) is given by:

Δω = 2π / (35.0 hours)

Now, we can rearrange the equation τ = I × α to solve for time (Δt):

Δt = τ / (I × α)

Substituting the given values, we get:

Δt = (3.70×10^7 N) / (0.330 × 10^38 kg·m² × (2π / (35.0 hours)))

Evaluating this expression will give us the time required for Zorch to push with the given force. The result is approximately 1.15 years.

Therefore, Zorch must exert the opposing force for approximately 1.15 years to slow Earth's rotation to once per 35.0 hours.

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Since Christine received a $90 gift and after buying the coffee, she had $56.92 left, she spent on coffee:

90-56.92=33.08

So, to know how many pounds she bought, we can use the expression:

She bought 4 pounds of coffee.

Answer:

The answer is B or -2

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

The y-intercept is the number that doesn't have a variable behind it in this form but if it does it's y.

Answer:

I don't know because I can't understand English language

Answer:

12.

Step-by-step explanation:

Prime factors:

36 = 2*2*3*3

24 = 2*2*2*3

Picking out the commo factors:

GCF = 2*2*3 = 12.

The value of x from given quadrilateral ABCD is 27°.

In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.

We know that, the sum of interior angles of quadrilateral is 360°.

Here, ∠A+∠B+∠C+∠D=360°

3x+5+2x+15+4x+4x-10=360°

13x+10=360°

13x=350°

x=350/13

x=26.9

x≈27°

Therefore, the value of x from given quadrilateral ABCD is 27°.

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Answer:

\(m=\frac{-5}{3}\)

Step-by-step explanation:

We want to find the slope between the points (-2,5) and (1,0).

The slope (m) can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are points.

We are already given the values of the points, but let's label their values to avoid any confusion and mistakes.

\(x_1=-2\\y_1=5\\x_2=1\\y_2=0\)

Now, substitute into the formula.

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{0-5}{1--2}\)

Simplify this to:

\(m=\frac{0-5}{1+2}\)

\(m=\frac{-5}{3}\)

The slope is -5/3.

The SS value for the first, second and third sample is 24, 26 and 18 respectively. Upon dividing the SS value by the sample size minus one, sample variance can be derived.

In the previous question, there were significant differences among the three treatments, partially due to the relatively small sample variances. Now, with the SS (sum of squares) values within each sample doubled, we need to calculate the new sample variances. The values provided in the previous question were 12.00, 13.00, and 8.00.

To calculate the sample variance for each of the three samples, we utilize the formula for variance, which is the sum of squared deviations from the mean divided by the sample size minus one.

For the first sample with a previous variance of 12.00, if the SS value is doubled, the new SS value would be 24.00. To calculate the new sample variance, we divide this SS value by the sample size minus one.

Similarly, for the second sample with a previous variance of 13.00, the doubled SS value would be 26.00. Again, we divide this SS value by the sample size minus one to calculate the new sample variance.

Lastly, for the third sample with a previous variance of 8.00, the doubled SS value would be 16.00. We divide this SS value by the sample size minus one to obtain the new sample variance.

By performing these calculations, we can determine the new sample variances for each of the three samples, which will reflect the changes resulting from the doubled SS values within each sample.

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The standard deviation of x to the nearest thousandth is 10.796

Given that,

p = 0.37

q = 1 - p =1-0.37=0.63a

n = 500

To find :  Standard deviation of x

Using binomial distribution,

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 p), where each time a question is posed for yes-no, the boolean-valued outcome is represented. A series of results is referred to as a Bernoulli process, while a single success/failure test is also known as a Bernoulli trial or experiment. The Bernoulli distribution describes the binomial distribution for n = 1, or a single experiment. The well-known binomial test of statistical significance is based on the binomial distribution.

Mean of x \(\mu = n * p = 500*0.37=185\)

Standard deviation of x \(\sigma = \sqrtn * p * q = \sqrt500*0.37*0.63=10.796\)

Consequently, the standard deviation of x is 10.796 to the nearest thousandth.

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The option D is the correct option.

According to the statement

we have to define the sample variance in the words.

So,

The sample variance is the sum of the squared deviations from the mean divided by the number of measurements minus one.

and in the case of the population variance it becomes

The population variance is the average of the squared distances of the measurements on all units in the population from the mean.

This is the method by which we define the sample variance and population variance.

So, The option D is the correct option.

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$128,000 represents 100%

To find how much is 4% we can use the next proportion:

Solving for x:

Her commission is $5,120

Answer:

x + 37 ≥ 65

Step-by-step explanation:

Given:

Money Micah wants = $65

Money Micah had = $37

Find:

Money Micah need

Computation:

Money Micah need(x)

x + 37 ≥ 65

So,

Money Micah need = 65 - 37

Money Micah need = $28

When the standard deviation is $1200 and the mean is $8000, the test statistic's result will be -1.804.

A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single number that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed. A number derived from a statistical test of a hypothesis is the test statistic. It displays how closely your actual data fit the distribution predicted by the statistical test's null hypothesis.

Here,

The claimed mean=$8250

The actual mean=$8000

The sample size=75

The standard deviation=$1200

The test statistic,

=(Actual mean-claimed mean)/Standard deviation/√(sample size)

=(8000-8250)/1200/√75

=-250/1200*1/√75

=-1.804

The value of test statistic will be -1.804 when the mean is $8000 and standard deviation is $1200.

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Answer:

In counting to a base, when we get to the point where the base integer comes up, we replace by 10, on the first time and by 10 at every other time the integer is about to come up

We now this in base 10 as when we get to 10 we input 10 and so and so till we get to 99 where since we are in base 10 the next number is 100 because that is the highest we can go while in base 11 100 in base is equivalent to 91

So we have for base 5

1 , 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100, 101, 102, 103, 104, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 142, 143, 144, 200

We see that on getting to 4 instead of the next digit to be 5 we replace it with 10 because 5 cannot be displayed in base 5

Similarly after 14 is 20 because 5 cannot be displayed at 24 the next number is 30 because 5 cannot be displayed

at 34 the next  40, while at 44 the next is (we could have written 50 but 5 is 10 in base 5 so we write 100) 100

At 144, we note that 44 = 100 + 44, therefore, the next number will be 100 + 44+ 1 = 100 + (45 but 45 = 100 in base 5) 100 so that the next number is 200

Base 2

In base 2 we have;

1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111, 10000, 10001, 10010, 10011, 10100, 10101, 10110, 10111, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111, 100000, 100001, 100010, 100011, 100100, 100101, 100110, 100111, 101000, 101001, 101010, 101011, 101100, 101101, 101110, 101111, 110000, 110001, 110010

We see that there are no 2s and after 11 we get 100 just like after 99 we get 100 in base 10 and after 44 we get 100 in base 5

So we need to still have an idea of the number system just as we did for base 10

Step-by-step explanation: