we poll 600 people and find that 50% favor candidate s. in order to estimate with 95% confidence the percent of all voters would vote for candidate s, we should use:

The number "4" in the expression 4x - 5 represent the number of days Gerard worked.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Gerard worked the same number of hours, x, on Monday, Tuesday, and Wednesday, but on Thursday, he worked 5 hours less than the previous day.

The total number of hours Gerard worked can be found using the expression, 4x − 5

Hence:

The number "4" in the expression 4x - 5 represent the number of days Gerard worked which is Monday, Tuesday, and Wednesday and Thursday

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Answer:

The formula you will want to use is y(2) - y(1) over x(2) over x(1).

Basically, the Y variables (4 and 1) will be subtracted from each other. Aka, 1-4, which is -3. You put that over 5-(-5) or (5+5) which is 10. Now you have -3/10.

We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims: The null hypothesis (H0) states that there is no population impact. Alternative hypothesis (Ha or H1): The population is affected.

Given,

Among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease.

Let X be the random variable to determine the proportion of people who have clinical illness.

n: The overall number of people who were exposed to a specific infectious pathogen.

p: The percentage of sample members who have a clinical illness.

Selected subjects who experience clinical disease are the experiment's success.

As a result, the variables are n = 100 and p = 0.30.

It is necessary to determine whether exposure to the agent outcome may be entirely accounted for by coincidence.

A P-value is a probabilistic indicator of the likelihood that an observed outcome effect is accidental.

Using the default level of significance = 0.05, the level of significance is not defined.

One percentage z-test is the best suitable test for the aforementioned assertion.

The alternate and null hypothesis is

H0: p = 0.3

H1:: p ≠ 0.3

Where p is the percentage of the population that develops a clinical illness.

R may be used to calculate the p-value and test statistic.

The instruction is as follows:

x = 20; n = 100; p = 0.3; prop.test

The result looks like this: - The p-value obtained from the output above is 0.03817.

Decision principle:

When significance is 5%,

If the p-value is below 0.05, reject the null hypothesis.

Accept the contrary.

Because the p-value was 0.03817 0.05

The null hypothesis is disproven.

In conclusion:

We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

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Answer:

60

Step-by-step explanation:

f(6) = 60

Answer:

the mean of A and C is 10

Step-by-step explanation:

Given that

The mean of A and B is 20

The mean of B and C is 24

And, the mean of A, B and C is 18

We need to find out the mean of A and C

Since the mean of A and B is 20

So, a + b = 20 × 2

= 40

Likewise for B and C it is 48

And, for A, B and C, it is 54

So,

a + b = 40

b + c = 48

a + b + c = 54

So if we put the value of b + c in the above equation

a + 48 = 54

a = 6

b = 34

c = 14

Now the mean of the A and C is

= (6 + 14) ÷ 2

= 10

Hence, the mean of A and C is 10

Answer:

linear positive association

Step-by-step explanation:

The scatter plot's are going at an upwards slant which makes it positive.

The type of correlation shown in the scatter plot is a linear positive correlation

Correlation is a statistical tool that is used to determine the relationship between two variables.

The types of correlation that we have are:

The type of correlation shown in the scatter plot is a positive correlation since it moves upwards towards the positive side of the graph in a straight line

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The probability that 40 randomly selected buckets will provide enough coating to cover the tank is 0.5000 or 0.5000 (approx) or 0.5000

Given: The surface area of the tank is 80,000 square feet. The coating comes in five-gallon buckets. The area that the coating in one randomly selected bucket can cover varies, with a mean of 2000 square feet and a standard deviation of 100 square feet.

The probability that 40 randomly selected buckets will provide enough coating to cover the tank. (If it matters, you may assume that the selection of any given bucket is independent of the selection of any and all other buckets.)

The area covered by one bucket follows a normal distribution, with a mean of 2000 and a standard deviation of 100. So, the area covered by 40 buckets will follow a normal distribution with a mean μ = 2000 × 40 = 80,000 and a standard deviation σ = √(40 × 100) = 200.

The probability of the coating provided by 40 randomly selected buckets will be enough to cover the tank: P(Area covered by 40 buckets ≥ 80,000).

Z = (80,000 - 80,000) / 200 = 0.

P(Z > 0) = 0.5000 (using the standard normal table).

Therefore, the probability that 40 randomly selected buckets will provide enough coating to cover the tank is 0.5000 or 0.5000 (approx) or 0.5000 (rounded to four decimal places).

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Answer:

P = -5

Step-by-step explanation:

See image for explanation

Answer:

  10∠126.87°

  r = 10; θ = 126.87°

Step-by-step explanation:

The coordinate conversion from (x, y) or (x +yi) to (r; θ) can be done using the relations ...

  r = √(x² +y²)

  θ = arctan(y/x) . . . . paying attention to quadrant

__

For the given complex number, we have ...

  r = √((-6)² +8²) = √(36 +64) = √100 = 10

  θ = arctan(8/(-6)) = arctan(-4/3) . . . . in the 2nd quadrant

  θ ≈ -53.13° +180° = 126.87°

The equivalence is ...

  -6 +8i  ⇔  10∠126.87° . . . . . in the form r∠θ

_____

Additional comment

Many scientific and graphing calculators are equipped to work with complex numbers, including their conversion to or from polar form.

Answer:

X= 18

Step-by-step explanation:

24/4=6 x 3= 18

Answer:

x=18

Step-by-step explanation:

3/4=x/24

3×24=4×x

72=4x

x=72/4

x=18

Answer:

3125

Step-by-step explanation:

5^5

= 5*5*5*5*5

= 25*5*5*5

=125*5*5

=625*5

=3125

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Answer:

5^5=3125

Step-by-step explanation:

\(5^5\\\\=5*5*5*5*5\\\\=25*25*5\\\\=25*125\\\\=3125\)

The length of the curve defined by the polar equation r = 2acos(θ) over the interval [-π/4, π/4] is 4a.

To find the length of a curve given by a polar equation, we use the formula for arc length in polar coordinates, which is given by the integral of √(r^2 + (dr/dθ)^2) dθ over the given interval.

In this case, the polar equation is r = 2acos(θ). To find the arc length, we need to determine the derivative of r with respect to θ, which is dr/dθ = -2asin(θ).

Now we can substitute these values into the arc length formula and integrate over the interval [-π/4, π/4]:

Length = ∫√(r^2 + (dr/dθ)^2) dθ

= ∫√(4a^2cos^2(θ) + 4a^2sin^2(θ)) dθ

= ∫2a √(cos^2(θ) + sin^2(θ)) dθ

= ∫2a dθ

= 2aθ

Evaluating the integral over the given interval, we get:

Length = 2a(π/4 - (-π/4))

= 2a(π/2)

= πa

Therefore, the length of the curve defined by the polar equation r = 2acos(θ) over the interval [-π/4, π/4] is 4a.

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Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

Extrema: The extrema are the highest and lowest points of the function. By looking at the table, we can see that the highest temperature is 32°F and the lowest temperature is 10°F.

Zeros: Zeros represent the x-values where the function crosses the x-axis. From the table, we can see that the temperature is above 0°F for the entire week, so there are no zeros. End Behavior: The end behavior refers to what happens to the function as x approaches positive or negative infinity. Since we only have data for one winter week, we can't determine the end behavior accurately.

Increasing and Decreasing Intervals: To find the increasing and decreasing intervals, we need to identify where the temperature is rising or falling. From the table, we can see that the temperature increases from Monday to Wednesday and decreases from Wednesday to Sunday.

Positive and Negative Intervals: Positive intervals occur when the temperature is above 0°F, while negative intervals occur when the temperature is below 0°F. From the table, we can see that the temperature is always above 0°F during this week, so there are no negative intervals.

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Based on the given table, the function representing the temperature of Johnstown during one winter week shows extrema, decreasing end behavior, increasing and decreasing intervals, and negative intervals.

The given table represents the temperature of Johnstown during one winter week. To approximate the key features of the function, let's analyze the data.

The table is as follows:

Day | Temperature
------ | -------------------
1       |       20°F
2      |       25°F
3      |       18°F
4      |       15°F
5      |       22°F
6      |       27°F
7      |       19°F

1. Extrema:
  - The highest temperature is 27°F on day 6.
  - The lowest temperature is 15°F on day 4.

2. Zeros:
  - There are no zero temperatures in the given table.

3. End behavior:
  - The temperature is decreasing towards the end of the week, as the lowest temperature is on day 7.

4. Increasing and decreasing intervals:
  - The temperature increases from day 1 to day 2, day 2 to day 5, and day 5 to day 6.
  - The temperature decreases from day 3 to day 4, day 4 to day 7.

5. Positive and negative intervals:
  - All temperatures in the table are below 0°F, so all intervals are negative.

In conclusion, based on the given table, the function representing the temperature of Johnstown during one winter week shows extrema, decreasing end behavior, increasing and decreasing intervals, and negative intervals.

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The statement is true.

If the columns of a square (n x n) matrix A are linearly independent, then the determinant of A is nonzero.

Now consider the matrix A^T, which is the transpose of A. The rows of A^T are the columns of A, and since the columns of A are linearly independent, so are the rows of A^T.

Multiplying A^T by A gives the matrix A^T*A, which is a symmetric matrix. The determinant of A^T*A is the square of the determinant of A, which is nonzero.

Therefore, the columns of A^T*A (which are the rows of A) are linearly independent.

Repeating this process two more times, we have A^T*A*A^T*A*A^T*A = (A^T*A)^3, and the rows of this matrix are also linearly independent.

Therefore, if the columns of a square (n x n) matrix A are linearly independent, so are the rows of A^T, A^T*A, and (A^T*A)^3, which are the transpose of A.

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Answer:

x = 6

Step-by-step explanation:

(3√2)² = 18

using the Pythagorean theorem:

x² = 18 + 18 = 36

x = √36 = 6

the answer might be 18.64 but im actually kinda du.mb so its probably not right.

Answer:

is 10 points alot? the other guy don't think so

Answer: y = 3x+9

Step-by-step explanation:

points are -2,3 and -1,6

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

y-int is 9 since its given

• George's Height, = 1.75 meters

We know,

Let's convert:

Then,

• Martha's Height, = 160 cm

We know,

Let's convert:

In millimeters,

George is 1750 mm

Martha is 1600 mm

Difference in height = 1750 - 1600 = 150 mm

Thus,

The difference between the mean outcome of those who are treated and those who are untreated when the assignment of treatments is random is a good estimate of the Average Treatment Effect (ATE). (C)

The ATE is the average effect of treatment on the population, i.e., the difference in the mean outcomes of the treated group and the untreated group. If the assignment of treatments is random, the ATE is an unbiased estimate of the population average treatment effect.

On the other hand, the Treatment on the Treated (TT) is the average treatment effect on only those individuals who received the treatment. It represents the effect of the treatment on those who actually received it, and is not a good estimate of the population average treatment effect.

The TT can be biased if the treated and untreated groups differ in important ways that are not related to the treatment. The Selection bias refers to the systematic difference in the outcome between the treated and untreated groups due to factors other than the treatment.

It occurs when the assignment of treatment is not random, and can affect both the ATE and TT estimates.

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Answer:

The answer will be “B”

Step-by-step explanation:

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Answer:

16 boys

Step-by-step explanation:

Lets go with easy example:

20% of 100 students means 20 students: what is done there

\(\frac{20}{100}*100=20\)

Lets do the same with 80 students as well

\(\frac{20}{100}*80=16\)

Answer:

16

Step-by-step explanation:

\(\frac{20}{100} x \frac{x}{80} =16\)

or do

80 x 0.20=16

both works

Answer:

-5x + 13xy -7

Step-by-step explanation:

trinomial means 3 terms

degree 2 means the highest power  of the variables when added together is 2

constant -7 means  the constant is -7

-5x + 13xy -7

3 terms

xy = degree 2

-7 is the constant

Hi, I'm cookie monster:

A trinomial is an expression with 3 terms, so we can eliminate choice C and D right away. A degree is the highest exponent in the expression and there isn't even an exponent of 2 in choice B. So, Choice A is corrrect.

Now, I better eat some more cookies before I eat my computer.

Answer: E

Step-by-step explanation:

The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.

The given integral is ₁∫₀^(π/2) sin²(x)dx.

The trapezoidal rule is given by:(b - a) [(f(a) + f(b))/2]And, the Gauss-Quadrature formula for n = 2 is: ∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]

Here, a = 0, b = π/2, gp₁ = -0.5773, gp₂ = 0.5773, w₁ = w₂ = 1.

(i) Trapezoidal Rule: The trapezoidal rule with one interval is given by:(b - a) [(f(a) + f(b))/2] = π/4 [sin²(0) + sin²(π/2)] = 0.7854

(ii) Gauss-Quadrature: Using the Gauss-Quadrature formula with n = 2, we get:∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]= π/2 [ sin²( [ (π/2)/2 ] (-0.5773) + π/4 ) + sin²( [ (π/2)/2 ] (0.5773) + π/4 ) ]= 0.7853Comparing the above two methods, the trapezoidal rule and Gauss-Quadrature method are nearly the same and are close to the exact value.

Exact value = (π/2)/2 - sin(π)/4 = 0.7854Conclusion:Thus, it can be concluded that the given integral using the trapezoidal rule (using only one interval) and Gauss- Quadrature (n=2) is approximately equal to 0.7854.

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The first digit must be 1. The remaining seven ones must be either 0 or 1.

Therefore, there can be formed \(2^7=128\) different numbers.

Ellen can make a maximum of 6 batches of Cardamom cookies with her 2 fluid ounces of cardamom.

Ellen has 2 fluid ounces of cardamom in a jar. Her recipe requires 3/10 of a fluid ounce of cardamom for each batch of cardamom cookies.

We can use division to find the number of batches of cardamom cookies that Ellen can make with all of her cardamom:

2 fluid ounces ÷ (3/10 fluid ounce per batch) = (2/1) ÷ (3/10)

= (2/1) x (10/3)

= 20/3

= 6 2/3

Therefore, Ellen can make 6 batches of cardamom cookies with her 2 fluid ounces of cardamom, with 2/3 of a batch remaining.

Since she cannot make a fraction of a batch, Ellen can make a maximum of 6 batches of cardamom cookies with her 2 fluid ounces of cardamom.

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The followings A, C, D, and F subsets of P₂ are subspace of P₂.

The subsets of P₂ that are subspace of P₂ are A, C, D, and F.

A.{p(t) | p'(t)+1p(t)+6=0} is a subspace of P₂ because it satisfies the criteria of being closed under addition and scalar multiplication.

B.{p(t) | p('t)='p(t) for all t} is not a subspace of P₂ because the derivative of p(0) does not equal p(4).

C. {p(t) | p(4)=7} is a subspace of P₂ because it satisfies the criteria of being closed under addition and scalar multiplication.

\({p(t) | \int_{-1}^{7}p(t)dt=0\) is constant } is a subspace of P₂ because it satisfies the criteria of being closed under addition and scalar multiplication.

E. {p(t) | '(8) = p(0)} is not a subspace of P₂ because the derivative of p(8) does not equal 0.

F. {p(t) | p(3)=0} for all t} is a subspace of P₂ because it satisfies the criteria of being closed under addition and scalar multiplication.

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Answer:

frequency-selective surface (FSS)

Answer:

21.9 is the answer rounded to the nearest hundred.