3 1/18 As a decimal

No links or I’m blocking and reporting you :)

Answer:

\(BC = 84\)

Step-by-step explanation:

Given

See attachment

Required

Find BC

The sum of \(angles\ at\ a\ point\) is 360.

So:

\(7n + 12 + 13n - 16 + 6n = 360\)

Collect like terms

\(7n + 13n + 6n = 360 + 16 - 12\)

\(26n = 364\)

Solve for n

\(n = 364/26\)

\(n = 14\)

From the circle:

\(BC = 6n\)

Substitute 14 for n

\(BC = 6*14\)

\(BC = 84\)

Answer:

A. d = 0.75m.

Step-by-step explanation:

If, for 3 1/2 minutes (3.5 minutes) the car travels 2 5/8 miles (2.625 miles),

Then in m minutes the car will travel d miles

d = (2.625*m)÷ 3.5

d = 0.75m

Which is option A

the upper bound of the confidence interval is 3.09 (rounded to two decimal places).

To create a 95% confidence interval for the mean GPA of students who have an ACT score of x0 = 13, we first need to calculate the standard error of the mean:

SE = sqrt(MSE/n + (x0 - xbar)^2 / ((n-1)*Sx^2))

where:

MSE = mean square error from the ANOVA table = 0.133644

n = sample size = 141

x0 = ACT score of interest = 13

xbar = average ACT score = 19.8

Sx = standard deviation of ACT scores = 4.3

Plugging in the values, we get:

SE = sqrt(0.133644/141 + (13-19.8)^2 / ((141-1)*4.3^2)) = 0.155

Next, we calculate the t-value for a 95% confidence interval with 139 degrees of freedom (n-1):

t = 1.977

Finally, we can calculate the confidence interval using the formula:

CI = y0 ± t*SE

where:

y0 = predicted mean GPA for x0 = b0 + b1*x0, where b0 and b1 are the intercept and slope coefficients from the regression output

Plugging in the values, we get:

y0 = 2.402979486 + 0.027063973*13 = 2.788779395

CI = 2.788779395 ± 1.977*0.155 = (2.485, 3.092)

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Answer:

d. y = (x - 1)(x-3)²(x + 2)²

Step-by-step explanation:

When there is a local max or local min on the x-intercept, then the function on the x-intercept is raised to an even power.

At x=3 and x=-2, the function goes up then down, or down then up.

If the function goes through an x-intercept when there is no local max or local min on the x-intercept, then the function on the x-intercept is raised to an odd power.

At x=1, the function goes through the x-intercept.

Hence, d is the answer.

Given:

Layla buys 3.6 pounds of dried fruit.

Cost of dried fruit is $4.55 per pound.

Cost per pound is multiplied to the number of pounds we buy.

Answer:

a.CEA AND DEA

is pair of the supplementary angles

Answer:

5/3 is the slope

Step-by-step explanation:

A.Negativ

Answer:

The first one is false.

3(2 ÷ x)

The second is true.

The number of pairs that must be randomly selected from the set {1,3,5,7,9,11,13,15} to guarantee that at least one pair of these numbers add up to 16 is 5.

In the given set {1,3,5,7,9,11,13,15}, there are four pairs that sum up to 16, which are (1,15), (3,13), (5,11), and (7,9). Let k numbers be picked from the set. Consider k = 5, then using the pigeonhole principle, for one of the pairs described above, both of the endpoints must have been picked. Hence, if 5 numbers are picked from the set, then there exists a pair with a sum of 16.

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The students' Landry and Erika was the name used and the image is attached

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

y = output variable

m = slope

x = input variable

c = y intercept

The two graphs shown the first from the left represents a positive slope while the second is a negative slope

Cole and Erika are both positive slopes while Landry has a negative slope. This makes Landry to be sure of the second graph

Considering c (y intercept)

In Cole's equation c = -1 and in Erika's equation c = +4

Erika's equation coincides with the graph with positive slope and Landry matches with second graph.

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Answer:

see down

Step-by-step explanation:

10. a one to one function means only one  input goes to the same output,

this one is not a one to one function, because there is 2 out put for each input except vertx

Answer: The answer is x = -20.

Answer:

x = -20

Step-by-step explanation:

50 = -2.5x

Divide both sides by -2.5

-20 = x

Therefore, the p-value of the test is approximately 0.3.

To calculate the p-value, we will use the two-sample t-test. The null hypothesis (H₀) states that there is no difference in the mean target errors between the two types of rockets. The alternative hypothesis (H₁) states that there is a difference.

We can calculate the test statistic using the formula:

t = (x₁ - x₂) / √[(s₁²/n₁) + (s₂²/n₂)]

where x₁ and x₂ are the sample means, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

Plugging in the given values, we have:

x₁ = 98, s₁ = 18, n₁ = 8

x₂ = 76, s₂ = 15, n₂ = 10

Calculating the test statistic, we get:

t = (98 - 76) / √[(18²/8) + (15²/10)]

= 22 / √(36 + 22.5)

= 22 / √58.5

≈ 2.83

The p-value of the test can then be determined by comparing the test statistic to the t-distribution with (n₁ + n₂ - 2) degrees of freedom. In this case, since the p-value is not provided, we cannot determine its exact value. However, based on the given options, the closest value to 2.83 is 0.3.

Therefore, the p-value of the test is approximately 0.3.

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By using the fact that the two angles whose measures are expressed in terms of x are vertical angles, we will see that x = 8.

Then using that we will see that the measure of angle BAC is 63 degrees.

On the given diagram, we can see that the two angles whose measures are expressed in terms of x are vertical angles, thus, these two angles have the same measure, then we can write a linear equation that helps us to find the value of x, which is:

(2x + 3) = (4x - 5)

Solving the linear equation for x we get:

2x + 3 = 4x - 5

3 + 5 = 4x - 2x

8 = 2x

8/2 = x = 4

So we can see that the value of x is 4.

Now we want to find the measure of angle BAC.

We can see that the measure of angle BAC plus the measure of the angle to its right will be a right angle, then we can write:

m∠BAC + (4x - 5)° = 90°

Replacing the value of x we get:

m∠BAC + (4*8 - 5)° = 90°

m∠BAC + 27° = 90°

m∠BAC = 90° - 27° = 63°

We conclude that the measure of angle BAC is 63 degrees.

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Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

\(4x_{1}-x_{2} > 0\)

using value from ordered pair,

\(4*1 - 2 > 0\)

\(2 > 0\)

which is true. That is it satisfies the given linear inequality.

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You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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Answer:

Am sorry but I think you forgot to add the photo of the diagram so please edit your question

The exact value of sin(x/2) is (sqrt(1 - cos x) )/2 and the exact value of tan(x/2) is sin x / (1 + cos x), where x is the angle in radians.

Given that sin x = 5/13 and x is in the second quadrant, we can use the Pythagorean identity to find cos x. We have:

sin^2 x + cos^2 x = 1

Substituting sin x = 5/13, we get:

(5/13)^2 + cos^2 x = 1

Solving for cos x, we get:

cos x = -12/13

Now we can substitute cos x = -12/13 into the formulas for sin(x/2) and tan(x/2) to get:

sin(x/2) = sqrt(1 - cos x)/2 = sqrt(1 + 12/13)/2 = sqrt(25/26)/2 = (5/2)sqrt(2/13)

tan(x/2) = sin x / (1 + cos x) = (5/13) / (1 - 12/13) = -5

Therefore, the exact values of sin(x/2) and tan(x/2) are (5/2)sqrt(2/13) and -5, respectively.

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We can use the half-angle formulas to find the exact values of sin x/2 and tan x/2. In this case, we have:

sin(x/2) = ±√[(1 - cos x) / 2]

tan(x/2) = sin x / (1 + cos x)

First, we need to find cos x, since it is not given directly. We know that x is in quadrant 2, which means that the sine is positive and the cosine is negative. We can use the Pythagorean identity to find cos x:

sin^2 x + cos^2 x = 1

cos^2 x = 1 - sin^2 x

cos x = -√(1 - sin^2 x)

Plugging in sin x = 5/13, we get:

cos x = -√(1 - (5/13)^2) = -12/13

Now we can use the half-angle formulas:

sin(x/2) = ±√[(1 - cos x) / 2]

sin(x/2) = ±√[(1 + 12/13) / 2]

sin(x/2) = ±√(25/26)

Since x is in quadrant 2, we know that sin x/2 is positive. Therefore, we have:

sin(x/2) = √(25/26) = 5/√26

Next, we can use the formula for tangent:

tan(x/2) = sin x / (1 + cos x)

tan(x/2) = (5/13) / (1 - 12/13)

tan(x/2) = (5/13) / (1/13)

tan(x/2) = 5

Therefore, the exact values of sin x/2 and tan x/2 are:

sin(x/2) = 5/√26

tan(x/2) = 5

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The correct option regarding the 95% confidence interval for this problem is given as follows:

A. The confidence interval from the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.209 and 0.261.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The parameters for the first simulation are given as follows:

\(n = 1000, \pi = \frac{212}{1000} = 0.212\)

Hence the lower bound of the interval is of:

\(0.212 - 1.96\sqrt{\frac{0.212(0.788)}{1000}} = 0.187\)

The upper bound is of:

\(0.212 + 1.96\sqrt{\frac{0.212(0.788)}{1000}} = 0.237\)

For the second simulation, the parameters are given as follows:

\(n = 1000, \pi = \frac{235}{1000} = 0.235\)

Hence the lower bound of the interval is of:

\(0.235 - 1.96\sqrt{\frac{0.235(0.765)}{1000}} = 0.209\)

The upper bound is of:

\(0.235 + 1.96\sqrt{\frac{0.235(0.765)}{1000}} = 0.261\)

This means that option A is the correct option.

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The correct answer is 64.87 inches to 75.13 inches.

To find the middle 80 percent of heights, we need to find the values of x that correspond to the 10th and 90th percentiles of the normal distribution with mean 70 inches and standard deviation 4 inches.

Using a standard normal table or calculator, we can find that the z-score corresponding to the 10th percentile is -1.28 and the z-score corresponding to the 90th percentile is 1.28.

So,

x = μ + zσ

x1 = 70 + (-1.28)(4) = 64.88

x2 = 70 + (1.28)(4) = 75.12

Therefore, the middle 80 percent of heights is between 64.88 inches and 75.12 inches, or approximately 64.87 inches to 75.13 inches.

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13 less than b as an algebraic expression would be \(b - 13\).

This is because 13 less than a number is the same as that number being subtracted by 13. Let me know if you have any questions, thanks!

The constant term in the quadratic expression gives the y-intercept, which is 15 in this case.

The correct answer to the given question is option B.

The function ff is given in three equivalent forms, and we need to choose the form that most quickly reveals the y-intercept. We know that the y-intercept is the value of f(x) when x=0. Let's evaluate the function for x=0 in each of the given forms.

A. f(x)=−3(x−2)2+27
f(0)=−3(0−2)2+27=−3(4)+27=15

B. f(x)=−3x2+12x+15
f(0)=−3(0)2+12(0)+15=15

C. f(x)=−3(x+1)(x−5)
f(0)=−3(0+1)(0−5)=15

Therefore, we can see that all three forms give the same y-intercept, which is 15. However, form B is the quickest way to determine the y-intercept, since we don't need to perform any calculations. The constant term in the quadratic expression gives the y-intercept, which is 15 in this case. Hence, option B is the correct answer.

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The 6 - digit number when rounded to the nearest thousand and hundred will have a result that is the  556100.

Rounding off makes a  number is made simpler by keeping its value intact but closer to the next number.

Rounding to the nearest thousand:

The original number, 555500, lies between 555000 and 556000.

Since it is equidistant from both, we round it to the nearest even thousand, which is 556000.

Rounding to the nearest hundred:

The rounded number from the previous step, 556000, lies between 555900 and 556100.

Again, it is equidistant from both, but in this case, we round it up to the nearest hundred, which is 556100.

Therefore, when you round the number 555500 to the nearest thousand and hundred, you get the same result, which is 556100.

Thus, the answer is  556100.

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Answer:

Step-by-step explanation:

1. 15

2. 40

Answer:

completing the division operation: numerator divided by denominator.

Step-by-step explanation:

If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

The correct option is: (i) and (iii) are correct statements but not (ii).

The correct answer is:

(i) The uniform probability distribution's shape is a rectangle.

(ii) The uniform probability distribution is symmetric about the mode.

(iii) In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.

Therefore, the correct option is: (i) and (iii) are correct statements but not (ii).

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This region is below the line  \(x + y = 50\) and to the left of the line  \(x = 20,\) which is exactly what the first graph shows.

The correct graph that represents the solution to the system of inequalities is the first one:

On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 20. Everything below the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.

This is because the first inequality,  \(x + y ≤ 50\)  , represents the fact that the total number of seats  \((x + y)\) cannot exceed 50. This means that the solution must lie below the line   \(x + y = 50\) , which has a negative slope.

The second inequality, \(x ≥ 20\)  , means that there must be at least 20 stools, which corresponds to a horizontal line at y = 20. Therefore, the solution must lie to the left of the line  \(x = 20\).

Therefore, these two inequalities determine a shaded region that satisfies both conditions. This region is below the line \(x + y = 50\) and to the left of the line \(x = 20\)  , which is exactly what the first graph shows.

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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