a research group conducted a study to investigate whether the claim was true. the group found that 56 percent of a randomly selected sample of car owners in the united states owned american-made cars. a test of the appropriate hypotheses resulted in a p-value of 0.283. assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a

Answer:

y = ½x + 2

Step-by-step explanation:

We are given the coordinates of the endpoint as;A(8,2) and

B(0,6)

The midpoint coordinates will be;

((8 + 0)/2, (2 + 6)/2) = (4, 4)

The slope of the midpoint using gradient formula will be;

m = (6 - 2)/(0 - 8)

m = 4/-8

m = -2

Thus, slope of a line perpendicular to the midpoint is;

m_p = -1/m

m_p = -1/-2

m_p = 1/2

Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;

y - 4 = ½(x - 4)

Multiply both sides by 2 to get;

2y - 8 = x - 4

Add 8 to both sides to get;

2y - 8 + 8 = x - 4 + 8

2y = x + 4

Divide through by 2 to get;

y = ½(x + 4)

y = ½x + 2

There is a 9.1% chance that a chicken of this particular breed will lay 248 eggs in a year.

A normal distribution is a continuous probability distribution described by its mean (μ) and standard deviation (σ). The formula for a normal distribution is:

\(P(x) = (1/σ√2π) e^(-(x-μ)^2/2σ^2)\)

In this case, the mean (μ) is 225 and the standard deviation (σ) is 10.

To calculate the probability of a specific number of eggs being laid, we plug the mean and standard deviation into the normal distribution formula. For example, to calculate the probability of a chicken laying 248 eggs:

P(248) = 0.091

This means that there is a 9.1% chance that a chicken of this breed will lay 248 eggs in a year.

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Answer:

I would say the third one is the most reasonable answer. :>

Answer:

third one and also can I get brainliest

Step-by-step explanation:

Answer:

\(\frac{2c-2b}{cd-3t}\)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

To solve the answer, we must subsutute h for 4 and g for 32 and solve like shown:

\(4-(2)(32)\\4-64\\60\)

Answer:

Step-by-step explanation:

h=4

g=32

2*32=64

h-2g= -60

Answer:

- 20

Step-by-step explanation:

5x4 = 20

price drops so negative

Answer:

2

Step-by-step explanation:

-$5 * 4 = -$20

Dropping in value is negative

Answer:

Insurance Expense (Dr.) $200

Prepaid Insurance (Cr.) $200

Supplies expense (Dr.) $1,250

Cash (Cr.) $1,250

Depreciation Expense (Dr.) $424

Accumulated depreciation Building (Cr.) $304

Accumulated Depreciation Equipment (Cr.) $120

Interest Expense (Dr.) $200

Interest Payable (Cr.) $200

Unearned Rent Revenue (Dr.) $2,200

Rent Revenue (Cr.) $2,200

Salaries Expense (Dr.) $700

Salaries Payable (Cr.) $700

Step-by-step explanation:

Three column ledger has particular, debit and credit columns in which all the entries which are recorded in journal entries are posted to have a clear view of the expense and income.

Answer:

40 minutes total. 25+15=40. if im correct.

Step-by-step explanation:

the table shows that the bus line arrives every

a 25 minutes

b 15 minutes

it'll take 40 minutes for them both to be at there together

\(Answer:\)

Here's a picture example!

The circle's x value will continue to be the same as the arc ST. So, x has a value of 40 degrees.

A circle's centre is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

Every point on a circle is a geometric shape that is equally separated from the centre.

The location of any point that is evenly separated from the fixed point known as the circle's centre can also be characterised as it.

The distance from any point on a circle to the centre is known as the radius of the circle.

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The matching rational numbers and their equivalent decimal expansions are:

7/9 = 0.777777...

7/15 = 0.466666...

7/10 = 0.7

7/8 = 0.875

What is a rational number?

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In other words, a rational number is a number that can be written as a fraction with a finite or repeating decimal expansion.

Matching the given rational numbers to their decimal expansions:

7/9 = 0.777777... (repeating decimal)

7/15 = 0.466666... (repeating decimal)

7/10 = 0.7 (terminating decimal)

7/8 = 0.875 (terminating decimal)

Therefore, the matching rational numbers and their equivalent decimal expansions are:

7/9 = 0.777777...

7/15 = 0.466666...

7/10 = 0.7

7/8 = 0.875

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The fractional equivalent of the repeating decimal 0.2 is 2/9

From the question, we have the following parameters that can be used in our computation:

Repeating decimal = 0.2

Represent properly

So, we have

Repeating decimal = 0.2222

Express as fraction

So, we have

Fraction = 2/(10 - n)

In this case

n = 1

So, we have

Fraction = 2/(10 - 1)

Evaluate

Fraction = 2/9

Hence, the fractional equivalent is 2/9

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B. The statement is true.

Answer:

Explanation:

a) Mathematically, the total probability will be equal to 1

So we have it splitted as:

b) We have this as:

5) Mai should have stated that the proportion or ratio of students who support the idea was 90% and not exactly 90%.

6) Mai's statement that the proportion of students who think it was a good idea to change school hours was 90% with a margin of error of 3% means the proportion may be more or less than 90%.

Margin of error refers to the random sampling error encountered from a survey, showing that the result might not be exact since it is based on the sample proportion rather than the whole population.

Thus, Mai's initial claim is based on a random sample of 30 students, 27 of whom agreed that it was a good idea to start and end school an hour later than usual while the latter statement recognizes the margin of error.

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Answer:

37.68

Step-by-step explanation:

circumference is diameter, which in this case is 12,times pi which I always simplify to 3. 14

12 times 3. 14 is approximately 37cm so that is why I have given this answer

brainliest?

Option B) is correct.

Here, we are given –

Let's find it's radius first.

\(\qquad\)\( \sf \longrightarrow Radius = \dfrac{Diameter }{2} \)

\(\qquad\)\( \sf \longrightarrow Radius = \dfrac{12 }{2}\)

\(\qquad\)\( \sf \longrightarrow Radius = \cancel{\dfrac{12 }{2}}\)

\(\qquad\)\( \bf \longrightarrow Radius = 6 \: cm\)

We know that–

\(\qquad\)\( \pink{\bf \longrightarrow Circumference \: of \: circle = 2\pi r}\)

\(\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}\)

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

\(\qquad\)\( \sf \longrightarrow Circumference_{(Circle)} = 2 \pi r\)

\(\qquad\)\( \sf \longrightarrow Circumference_{(Circle)} = 2 \pi \times 6\)

\(\qquad\)\( \sf \longrightarrow Circumference_{(Circle)} =2 \times 3.14\times 6\)

\(\qquad\)\(\pink{ \bf \longrightarrow Circumference_{(Circle)} = 37.68 \: cm }\\\)

Answer:

A=2

B=-1

Step-by-step explanation:

a=(23−25)⋅ (4−5)=2

b=(97−123)/(18+8)=−1

The answer are:

a. The random variable X is car battery

b. X is a continuous random variable

c. X ~ Exponential(0.025)

d. battery lasts (1/0.025)

e. 9 times 40 months, which is 360 months

f.the probability that a car battery lasts more than 36 months is approximately  30.33%.

g.seventy percent of the batteries last at least approximately  78.40 months.

a. The random variable X is defined as the useful life of a particular car battery, measured in months. In other words, X represents the duration, in months, that a car battery will last before it needs to be replaced.

b. X is a continuous random variable because the useful life of a car battery can take on any positive real value within a certain range (e.g., 0 months, 1 month, 2 months, etc.) without any gaps or jumps.

c. X ~ Exponential(0.025) means that X follows an exponential distribution with a decay parameter of 0.025. The exponential distribution is commonly used to model the time between events in a Poisson process, such as the failure or replacement of car batteries in this case. The decay parameter (λ) determines the rate at which the battery's useful life decays. In this scenario, a higher decay parameter value (0.025) implies a faster decay or shorter average life for the battery.

d. The average or expected value of an exponential distribution is given by the reciprocal of the parameter. Therefore, the average useful life of one car battery would be:

Expected value of X = 1 / 0.025 = 40 months

On average, one car battery would be expected to last 40 months,

e. The expected value of a sum of independent random variables is equal to the sum of their individual expected values. Therefore, if you use nine car batteries one after another, the expected total useful life would be:

Expected value of 9X = 9 * Expected value of X = 9 * 40 = 360 months

On average, you would expect nine car batteries to last for a total of 360 months.

f.To find the probability that a car battery lasts more than 36 months, we can use the cumulative distribution function (CDF) of the exponential distribution:

P(X > 36) = 1 - P(X ≤ 36)

The CDF of an exponential distribution with parameter λ is given by:

F(x) = 1 - \(e^{-\lambda x}\)

In this case, λ = 0.025. Substituting the values:

P(X > 36) =\(1 - e^{-0.025 * 36}\)

Calculate the probability using the formula:

P(X > 36) ≈ 0.3033

Therefore, the probability that a car battery lasts more than 36 months is approximately 0.3033, or 30.33%.

g.  To find the value of x at which 70% of the batteries last at least that long, we can use the quantile function (inverse of the CDF) of the exponential distribution.

Let's denote the value we are looking for as\(x_0.\)

P(X ≥ \(x_0\)) = 0.70

Using the CDF of the exponential distribution:

\(1 - e^{-0.025 * x_0} = 0.70\)

Solving for x_0:

\(e^{-0.025 * x_0}= 0.30\)

Taking the natural logarithm of both sides:

\(-0.025 * x_0 = ln(0.30\))

Solving for \(x_0:\)

\(x_0 = ln(0.30) / (-0.025)\)

Calculate the value:

\(x_0 =\) 78.40

Therefore, seventy percent of the batteries last at least approximately 78.40 months.

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This number line shows a range from -60°F to 120°F with evenly spaced intervals. The temperatures in New York fall within this range.

To represent the temperatures in the state of New York, we need a number line that spans from the lowest recorded temperature (-52°F) to the highest recorded temperature (108°F). We can choose a number line with evenly spaced intervals to represent the range of temperatures.

Here is an example of a number line that represents the temperatures in the state of New York:

-60 -40 -20 0 20 40 60 80 100 120

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Answer:

a. 3/5 liters per hour

b .06 hours

Step-by-step explanation:

Change 40 minutes to a fraction of an hour

40 minutes/ 60 minutes = 2/3 hour

It takes 1 2/3 hours to fill the container

Changing to an improper fraction

(3*1+2)/3 = 5/3 hours

We want liters per hour

1 liter per 5/3 hours

1 ÷ 5/3

Copy dot flip

1 * 3/5 = 3/5 liters per hour

Change 100 ml to liters

We know 1000 ml  = 1 lt

100 ml * 1 lt/1000 ml = .1 lt

So 100 ml = .1 lts

.1 lt * 3/5 lt per hour

Changing the fraction to a decimal

.1 lt * .6 lt per hour

.06 hours

Answer:

The median {Q2} is 10

Q1 is 7+7/2 which is 7

Q3 is 15+12/2 which is 13.5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

its coreect

method 1.

\( {x}^{2} - 7x - 18 = 0\)

simplify:

\((x - 9)(x + 2) = 0\)

so the answer is (D) x =9 or x = -2

method 2.

if

\( {a}^{2}x+ bx + c = 0\)

\(x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \: or \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \)

so

\(x = \frac{ - ( - 7) + \sqrt{ { - 7}^{2} - 4(1)(18)} }{2(1)} or\frac{ - ( - 7) - \sqrt{ { - 7}^{2} - 4(1)(18)} }{2(1)}\)

\(x = \frac{ 7 + \sqrt{ 121 } }{2}or\frac{ 7 - \sqrt{ 121 } }{2}\)

\(x = 9 \: \: \: \: or - 2\)

If one is interested in measuring the effects of a moderating variable, one can build it into the design as an independent variable.

To measure the effects of a moderating variable, it can be built into the design as an independent variable.

When studying the relationship between two variables, a moderating variable is a factor that influences the strength or direction of the relationship.

It is also known as an interaction variable. In order to measure the effects of a moderating variable, it is important to incorporate it into the research design.

To build a moderating variable into the design, it is treated as an independent variable.

An independent variable is a variable that is manipulated or controlled by the researcher.

By including the moderating variable as an independent variable, researchers can examine how it interacts with the other variables of interest.

The moderating variable is often operationalized by creating different groups or conditions based on its levels. For example, in a study investigating the impact of teaching method (independent variable) on student performance (dependent variable), the moderating variable could be student motivation.

The researchers can build the moderating variable into the design by dividing participants into high and low motivation groups, and then examining how the teaching method affects their performance differently.

By incorporating the moderating variable as an independent variable, researchers can systematically examine its influence on the relationship between the other variables. This allows for a deeper understanding of how and under what conditions the relationship changes.

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The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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An equation for the line of best fit for a men's height, y, based on her shoe size, x is; y = 0.25x + 66.6

A line of best fit can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

In this scenario, the men's shoe size would be plotted on the x-axis of the scatter plot while her height would be plotted on the y-axis.

By critically observing the scatter plot (see attachment) which models the data, we can reasonably deduce that an equation for the line of best fit is given by:

y = 0.25x + 66.6

Interpret the meaning of the residual from part B is given below.

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