Lewis had a six sided dice numbered from 1 to 6. he rolled it a total of 50 times. it landed on an odd number 22 times.
a)work out the relative frequency of the dice landing on an odd number. give your answer as a decimal.
b)if the dice were fair, what would the theoretical probability of it landing on an odd number be? give your answer as a decimal.
c)is the dice definitely biased or definitely not biased, or is it impossible to tell? write a sentence to explain your answer.

From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.

To determine the slope of a line given two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.

Let's apply the formula to each set of ordered pairs:

A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)

B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)

C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)

D. This set has only one point (2, 3) and is therefore not sufficient to define a line.

Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.

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One of the following steps is not required as a step to test for the null hypothesis is Compute the standard error of the slope estimate.

Hypothesis testing is a statistical method for testing the validity of a hypothesis made about a parameter in a population. This method may be used to assess the truth of a hypothesis made about a population parameter.

A hypothesis testing problem involves determining whether there is enough evidence in a sample data to support the hypothesis about the population.

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The standard error of the distribution of sample proportions for samples of size 1100 from a population with proportion 0.87 is approximately 0.0101.

The formula to calculate the standard error of the distribution of sample proportions is given by the equation:

Standard Error = √((p(1-p))/n)

where p is the population proportion and n is the sample size.

In this case, the population proportion is 0.87 and the sample size is 1100. Plugging in these values into the formula, we get:

Standard Error = √((0.87(1-0.87))/1100)

Simplifying further, we have:

Standard Error = √((0.87 * 0.13)/1100)

Standard Error = √(0.1131/1100)

Standard Error = √0.000102818

Standard Error ≈ 0.0101

So, the standard error of the distribution of sample proportions for samples of size 1100 from a population with proportion 0.87 is approximately 0.0101.

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The sample size would be required is 400.

What is standard deviation?

A measure of a group of values' variance or dispersion in statistics is called the standard deviation. When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean.

The lowercase Greek letter sigma, which stands for the population standard deviation, or the Latin letter s, which stands for the sample standard deviation, are most frequently used in mathematical equations and texts to represent standard deviation. Standard deviation is also sometimes referred to as SD.

suppose that in a random sample of size 100, the standard deviation of the sampling distribution of the sample proportion is 0.08.

Since we know the weights from the population, we can find the population mean.

μ = 0.08

if a researcher wanted to reduce the standard deviation to 0.04.

Hence, The sample size would be required is 400.

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Answer:

false

Step-by-step explanation:

(8,8) or (4,4)

Answer is d. The testable proposed relationship between the variables in the research hypothesis is: "Then people with a high exposure to UV light will have a higher frequency of skin cancer." This portion of the hypothesis specifically establishes the expected connection between UV light exposure and the occurrence of skin cancer, allowing for investigation and data collection to either support or refute the hypothesis.

A hypothesis is a tentative explanation for a phenomenon that is based on prior knowledge and observations. It is essential to have a testable hypothesis to ensure that the research study can be conducted in a rigorous and systematic manner. A testable hypothesis allows researchers to design experiments that can collect data to support or refute the hypothesis. Without a testable hypothesis, researchers may not be able to generate meaningful results that contribute to scientific knowledge.

A critical aspect of hypothesis testing is making clear and specific predictions about the relationship between the variables. In this case, the researchers are predicting that people with a high exposure to UV light will have a higher frequency of skin cancer. This prediction is specific because it defines the level of UV light exposure that is expected to lead to a higher frequency of skin cancer. It is also measurable because the frequency of skin cancer can be quantified through data collection. By making this clear and specific prediction, the researchers can test their hypothesis and determine whether the data support or refute their hypothesis.

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Answer:

d = 4

Step-by-step explanation:

Given f varies inversely as d² then the equation relating them is

f = \(\frac{k}{d^2}\) ← k is the constant of variation

To find k use the condition when d = 2, f = 6 , then

6 = \(\frac{k}{2^2}\) = \(\frac{k}{4}\) ( multiply both sides by 4 )

24 = k

f = \(\frac{24}{d^2}\) ← equation of variation

When f = 1.5 , then

1.5 = \(\frac{24}{d^2}\) ( multiply both sides by d² )

1.5d² = 24 ( divide both sides by 1.5 )

d² = 16 ( take the square root of both sides )

d = \(\sqrt{16}\) = 4

The quotient and remainder are x³ -5x² + 10x - 17 and 55.

What is Synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.

Here, (x+2) is a linear factor which indicates that synthetic division can be applied.

So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.

(refer the attached solution)

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\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{r}) \hspace{5em} \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{14}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{-2} \\\\\\ \cfrac{r-14}{2+1}=-2\implies \cfrac{r-14}{3}=-2\implies r-14=-6\implies r=8\)

9514 1404 393

Answer:

  A = angle(s); S = side(s)

Step-by-step explanation:

These are similar to the answer choices for https://brainly.com/question/22785604

In that context, they refer to 1 Angle, 1 Side (1A, 1S), 2 Angles, 2 Sides (2A, 2S), and so on.

Answer:

if I read the numbers correctly then she has $545 left

Step-by-step explanation:

subtract all the payments then add the deposits because those stay in the bank

(so sorry if this is wrong. Answer without adding deposits: 490)

Answer:

  P = 18

Step-by-step explanation:

You want the maximum value of P = 3x +2y given the constraints ...

The four inequalities define a quadrilateral solution region with vertices ...

  (0, 0), (0, 7.333), (2, 6), (3.2, 0)

The value of the objective function P is maximized at (x, y) = (2, 6). Its value there is ...

  P(x, y) = 3·2 +2·6 = 6 +12 = 18

The maximum value of P is 18.

__

Additional comment

When the solution region is the overlapping solution spaces of several inequalities, it can be easier to see the solution region if that region is white, rather than four overlapping colors.

In the attached graph, we reversed each of the inequalities so that the solution space is white, and the shaded regions are excluded from the solution space. The boundary lines are all included.

The blue line is the objective function. It is maximized when the line is as far as possible from the origin. We like to plot this line because its slope tells us that we have located the vertex that maximizes P.

Answer:

The probability of boy in seventh child is 1/2, because the possibility of male child is always 50%.

Step-by-step explanation:

Answer:

its 12 100%

Step-by-step explanation: i just did the test

Answer:

The answer for the color red is 7 and for the color blue is 13

Answer:

B option

Step-by-step explanation:

hypotenuse square = base square+ perpendicular Square

please mark me brainliest and 5 star

The correct student's t- distribution requires knowing the degrees of freedom. The degrees of freedom are there for a sample of size n is B) n-1.

Distribution is described as the technique of having items to consumers. An instance of distribution is rice being shipped from Asia to the USA. The frequency of occurrence or quantity of lifestyles.

Distribution manner to spread the product for the duration of the market such that a big quantity of humans should purchase it. Distribution involves doing the following matters. An amazing delivery machine to take the goods into one-of-a-kind geographical regions.

Distribution is one of the four elements of the advertising and marketing mix. Distribution is the method of creating a service or product available for the consumer or enterprise user who needs it. this may be executed without delay through the manufacturer or service company or the usage of indirect channels with vendors or intermediaries.

Disclaimer: The question is incomplete. Please read below to find the missing content.

Question: To select the correct Student's t-distribution requires knowing the degrees of freedom. How many degrees of freedom are there for a sample of size n?

A) n

B) n-1

C) n+1

D) [X - μ / (s / n)]

The degrees of freedom depends on the number of parameters you are estimating.

8=

i-1

In student t distribution we estimate the population mean through sample mean and population standard deviation through sample standard deviation

So here both parameters depend on the sample mean i.e. we just calculate from a sample of size n so

Degrees of freedom for students t distribution is B) n-1

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Answer:

10-x=d

(d = diferencia de 10 y x)

On substituting x= 9 in the above equation,

y= 9-5= 4

and, the y coordinate is also same i.e. 4

Yes.

It satisfies the equation.

I hope this helps you...

Hey there!

(x,y)

x = 9

y = 4

(9,4)

y = x - 5

➡️ 9 = 4 - 5

9 - 5

= 4

Therefore, this makes this statement TRUE

ANSWER: YES

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

a.) The probability that the girls play at least 3 games is 0.36.

b.) The probability that the girls play 5 games is 0.1024.

c.) On the second day the girls are expected to play more games of Monopoly.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.

We know that,    P ( E )   +   P ( \(E^{'}\) )    =   1

         where,     P ( E )  =   Probability of possible outcomes

                           P ( \(E^{'}\) ) =  Probability of impossible outcomes

                   ⇒    P ( E )   =   1   -   P ( \(E^{'}\) )        →  1

a.) Probability that the girls play at least 3 games

                          P ( E )   =   1   -   P ( \(E^{'}\) )  

                                       =   1   -   ( 2/5 + 3/5 × 2/5 )

                                       =   1   -   ( 0.4 + 0.6 × 0.4 )

                                       =   1   -   ( 0.64 )

                          P ( E )   =  0.36    

b.) Probability that the girls play 5 games

                           P ( E )   =    ( 5 1 )  ×  0.2  ×  \((0.8)^{3}\)  ×  0.2

                                        =    ( 5 1 )  ×  0.2  ×  0.512  ×  0.2

                                        =    ( 5 1 )  ×  0.02048

                           P ( E )    =    0.1024

c.) The day on which girls played more games of monopoly

⇒ Number of games to be played on the first day   =   1 / 0.4

                                                                                     =   2.5

⇒ Number of games to be played on the second day   =   2 / 0.2

                                                                                            =   10

Therefore, 0.36 is the probability that the girls play at least 3 games, 0.1024 is the probability that the girls play 5 games and the girls are expected to play more games of Monopoly on the second day.

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The function which best models the given data is f(x) = 58.20x² + 18.96x + 34.46.

The correct answer choice is option A

When x = 0

Check all answer choice:

A. f(x) = 58.20x² + 18.96x + 34.46

= 58.20(0) + 18.96(0) + 34.46

= 0 + 0 + 34.46

f(x) = 34.46

B.

\(f(x) = 48.74 ( {2.13)}^{x} \)

\(f(x) = 48.74 ( {2.13)}^{0} \)

\(f(x) = 48.74 (1)\)

f(x) = 48.74

C. f(x) = -1.03x³ + 58x² + 18.97x + 34.67

= -1.03(0)³ + 58(0)² + 18.97(0) + 34.67

= 0 + 0 + 0 + 34.67

f(x) = 34.67

D. f(x) = 309.94x - 159.52

= 309.94(0) - 159.52

= 0 - 159.52

f(x) = -159.52

Hence, f(x) = 58.20x² + 18.96x + 34.46 is the closest function which models the given data

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The number of children ticket sold on Sunday is 210.

Given this equations:

x+y=370 equation 1

3x+7y=1750 equation 2

Multiply equation 1 by 7

7x + 7y = 2590 equation 3

Subtract equation 2 from equation 3

4y = 840

Divide both sides by 4

y = 840 / 4

y = 210

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The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of hours be x

Let the number of boxes be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 5 , 60 )

Now , the slope of the line m = y/x

Substituting the values in the equation , we get

Slope m = 60 / 5 = 12

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 12 ( x - 5 )

y - 60 = 12x - 60

y = 12x

Now , when x = 18 hours

y = 12 ( 18 ) boxes

y = 216 boxes

Hence , the number of boxes is 216 boxes

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Answer:

y=0

Step-by-step explanation:

true,A hypothesis is a proposed explanation or statement that is offered to be true or false based on scientific research.

Hypotheses are tested in various fields such as science, economics, social science, or marketing research to determine the outcomes.A null hypothesis is a statement that reflects no statistical significance between the two variables being tested. It is a hypothesis where a researcher is attempting to prove that there is no significant difference between two variables.

The null hypothesis is represented as H0, and it is the opposite of the alternate hypothesis.The null hypothesis always contains an equality sign, whereas the alternative hypothesis may or may not contain an equality sign. The equality sign in the null hypothesis means that the researcher is trying to establish that there is no relationship between the variables. If the researcher finds no difference between the two variables, the null hypothesis is accepted.

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Answer:

E

Step-by-step explanation:

\(\sqrt{144} = 12\\ \frac{234}{3}= 78\\\)

12, 68.12, 78