Please help ............

Answer:

It should be 60 degrees

Step-by-step explanation:

The observed results are unlikely to have occurred by chance and provide evidence for a meaningful effect or relationship.

When Dr. Callahan mentioned that the findings for her study were statistically significant, she was referring to the statistical analysis conducted on the data collected during the study. In scientific research, statistical significance indicates that the results observed are unlikely to have occurred by chance alone.

Statistical significance is determined by comparing the observed data to a null hypothesis, which assumes that there is no real effect or relationship in the population being studied. By conducting statistical tests, researchers can assess whether the observed data provide enough evidence to reject the null hypothesis in favor of an alternative hypothesis, which suggests that there is indeed a meaningful effect or relationship.

When the findings of a study are deemed statistically significant, it means that the results provide strong support for the alternative hypothesis. In other words, the data suggest that the observed effect or relationship is not likely due to random variation, but rather represents a true pattern or association within the population.

It's important to note that statistical significance does not necessarily indicate the practical or real-world significance of the findings. It merely suggests that the observed results are unlikely to have occurred by chance and provide evidence for a meaningful effect or relationship.

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Answer:

66

Step-by-step explanation:

The pdf for X is given by P(X = 0) = 1/4, P(X = 1) = 1/2, and P(X = 2) = 1/4. When considering the condition X < 2, the conditional pdf for X = 0 is 1/3, and for X = 1 is 2/3. If Jill gets exactly one head, the conditional pdf for X = 0 is 0, and for X = 1 is 1.

The pdf for X:

Let's analyze the possible outcomes:

If both Jack and Jill get 0 or 1 head, X will be 0 or 1, respectively.

If one of them gets 2 heads, X will also be 2.

Hence, the pdf for X is:

P(X = 0) = 1/4

P(X = 1) = 1/2

P(X = 2) = 1/4

The conditional pdf for X given that X < 2:

Since X can only take the values 0, 1, or 2, we need to find the conditional probabilities for X = 0 and X = 1, given that X < 2.

P(X = 0 | X < 2) = P(X = 0) / [P(X = 0) + P(X = 1)] = (1/4) / [(1/4) + (1/2)] = 1/3

P(X = 1 | X < 2) = P(X = 1) / [P(X = 0) + P(X = 1)] = (1/2) / [(1/4) + (1/2)] = 2/3

The conditional pdf given that Jill got exactly one head:

If Jill gets exactly one head, there are three possible outcomes: HT, TH, and HH (H represents a head and T represents a tail). Out of these, only one outcome results in X = 1 (HH is excluded). Therefore, the conditional pdf for X = 1 given that Jill got exactly one head is 1. The conditional pdf for X = 0 given that Jill got exactly one head is 0, as it is not possible for X to be 0 in this scenario.

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Answer:

\(\frac{1}{2}\)x-4

Step-by-step explanation:

Answer:

1/2 (x)-4

Step-by-step explanation:

Hopes this helps

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given functions

STEP 2: Find the gf(2)

Find g(2)

Find f(2)

Find gf(2)

Hence, the answer is 3

Answer:

21 glasses of milk

Step-by-step explanation:

7 days in 1 week

3 glasses of milk each day

7 * 3 = 21 glasses

Answer:

21

Step-by-step explanation:

3 glasses of milk every day times the days in a week, so 7 equals 21

7x3= 21

Answer:

3 1/8 inches is your answer for the scissors to the nearest inch 5 grade

Answer:

4

Step-by-step explanation:

Answer:

A postulate :)

Step-by-step explanation:

This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.

Hope this helps!

Answer:

0.5 hours

Explanation:

Given:

Formula:

Solve:

The probability of 0 non conforming units is 0.47.

To find the probability of 0 non conforming units, we can use the fact that the sum of the probabilities of all possible outcomes is equal to 1. Therefore,

P(0 non-conforming units) = 1 - P(1 non-conforming unit) - P(2 non-conforming units)

We are given that P(1 non-conforming unit) = 0.38 and P(2 non-conforming units) = 0.15. Substituting these values into the equation, we get:

P(0 non-conforming units) = 1 - 0.38 - 0.15

P(0 non-conforming units) = 0.47

Therefore, the probability of obtaining 0 non-conforming units is 0.47.

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Answer:

17/22,22/37,7/15,5/17

Step-by-step explanation:

1. The first statement is a universally quantified predicate that states for all x, either Px or Dx is true.

2. The second statement is the negation of Da, which means Da is false. From this, we can infer that Pa is true.

1. The first statement, (∀x)(Px v Dx), expresses that for all x, either Px or Dx is true. This means that every element x satisfies the condition of being either Px or Dx. It does not specify which elements satisfy Px or Dx, but it applies to all x universally.

2. The second statement, ~Da, indicates that Da is false. From the negation of Da, we can infer the truth of its negation, which is Pa. Therefore, we can conclude that Pa is true based on the given information.

By combining the conclusions from the two statements, we can deduce the following:

- (∀x)(Px v Dx) is true for all x.

- ~Da is true, which implies Pa is true.

However, there is no direct relation or implication between Pa and the statement GC / Hc. Without further information or logical connections, we cannot derive the conclusion Hc based solely on the given premises.

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Answer:

It’s undefined

Step-by-step explanation

there is no change in y

The square has a 48 centimeter perimeter.

To find the perimeter of the square, we need to calculate its side length. The area of a rectangle is given by its length multiplied by its width, so we can use the given measurements of the rectangle to calculate its area: 25 cm x 16 cm = 400 cm². The area of a square is given by the square of its side length, so we can use the area of the rectangle to calculate the side length of the square: √400 cm² = 20 cm.

Thus, the perimeter of the square is equal to 4 times its side length, or 4 x 20 cm = 80 cm.

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Answer:

\(x\geq -2\)

Step-by-step explanation:

well the values for x are from -2 to ∞

so we can write it as

\(x\geq -2\)

Solution:

To determine the inverse of the function given, interchange the x value for the y value and vice versa

The table below give the inverse

Answer:

4)2.4

Step-by-step explanation:

                      -1.5 ( -3.6 + 2 )

            To solve this problem, we apply PEMDAS.

This is the order  of operation for mathematical problems.

P     Parentheses

E     Exponent

M    Multiplication

D    Division

A    Addition

S    Subtraction

             -1.5 ( -3.6 + 2 )

  Do the problem in the parentheses first,

              = -1.5 x (-1.6)

              = 2.4

20.

\( \sqrt{ {(0 - 4)}^{2} + {(4 - 7)}^{2} } = 5\)

The approximate margin of error for the approval rating estimate would be 0.025, or 2.5%.

In the given scenario, a poll of 2,277 likely voters was conducted on the president's performance.

The question asks for the approximate margin of error that the approval rating estimate would have using the conservative method and a 90% confidence level.In order to calculate the margin of error, the formula is:

M = Zα/2 * √p(1-p)/n

where M is the margin of error, Zα/2 is the z-score corresponding to the given level of confidence, p is the proportion of likely voters who approve of the president, and n is the sample size.

The conservative method assumes that the proportion of voters who approve of the president is 0.5, which means that p = 0.5.

The z-score corresponding to a 90% confidence level is 1.645.

Plugging in these values, we get:

M = 1.645 * √(0.5)(1-0.5)/2277

M ≈ 0.025

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The following algebraic expression are trinomial.

The term expression in math is also known as algebraic expression consists of unknown variables, numbers and arithmetic operators.

Here we must know what is meant by trinomial,

The term trinomial is referred as

Here we have given algebraic expression that is written as  x³ + x² - √x is a trinomial with one variable ‘x’ and it having three non-zero terms.

Then the next given algebraic expression which is 2x³ - x², is NOT a trinomial. Because this expression is a binomial with one variable ‘x’, having two non-zero terms.

Then the another given algebraic expression that is 4x³ + x² - 1/x, is a trinomial with one variable ‘x’, having three non-zero terms.

Finally the given algebraic expression which can be written as x⁶ - x +√6, is a trinomial with one variable ‘x’, having three non-zero terms.

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When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer:

2,0?

Step-by-step explanation:

To do this, find your first derivative and then find where it is equal to zero. Because we are only concerned about the interval from -5 to 0, we only need to test points on that interval. (i really don't know hot to explain)

32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.

Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.

y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d

It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation.  33. Fourier series representation of f(x)

The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π

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Considering the perimeter concept, we have that:

The perimeter of a polygon is given by the sum of all the lengths of the outside edges of the polygon.

For this problem, the outside edges are given as follows:

Danielle's mistake is that she did not consider two outside edges, one of length 6x - 4 and the other of length 12x + 3. Considering all the edges, the perimeter is given by:

P = 2(6x - 4) + 2(12x + 3) + 14x + 13

P = 12x - 8 + 24x + 6 + 14x + 13

P = 12x + 24x + 14x + 8 + 6 + 13

P = 50x + 27.

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(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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Answer:

x = 2 12/13

Step-by-step explanation:

(x - 4)/7 = (8 - 3x)/5

A fraction is the same as a division problem, and you can see that x-4 is being divide by 7

The opposite of dividing by 7 is multiplying by 7

Multiply both sides by 7

x-4 = (8-3x)/5 * 7

x - 4 = 56 - 21x/5

Now multiply both sides by 5

5x - 20 = 56 - 21x

Now solve:

5x - 20 = -21x + 56

26x - 20 = 56

26x = 76

x = 2 12/13

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

x = -6

Step-by-step explanation:

y + 64 + 27 = 180

y + 91 = 180

y = 89

x + 97 + y = 180

x + 97 + 89 = 180

x + 186 = 180

x = -6