A table measures 3.5 feet long and 2.745
feet wide. How many feet longer is it than
wide?

Answer:

52.5

Step-by-step explanation:

median is where u find the middle number

put them in order first

24,28,51,54,67,70

its between 54 and 51

Answer:

5x + 8 = -27 :)

Step-by-step explanation:

let the number be x.

"more than" means +

"5 times a number" means 5x

"is" means =

put this information together:

5x + 8 = -27

hope this helped! xoxo

Answer:

12 apples

Step-by-step explanation:

apples basked into a pie = 2/3 * 18 = 12

The mean of the distribution of  \(\bar{x}\) and \(\bar{p}\) are \(\mu_{\bar{x}}=\mu\) and \(\mu_{\bar{p}}=p\). The standard deviation of the distribution of  \(\bar{x}\) and \(\bar{p}\) are \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\) and \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\). So a suitable option is option D.

A distribution is the collection of all potential values for terms that reflect specified events in statistics. It is possible to calculate the expected value or mean of a statistical distribution by integrating the product of the variable's probability and the distribution's definition of that probability. This is represented by the symbol μ.

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean and a higher standard deviation shows that the data are more dispersed. This is represented by the symbol σ.

Here, the expected value for \(\bar{x}\) is written as    \(\mu_{\bar{x}}=\mu\) , and the standard deviation for \(\bar{x}\) is written as \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\). Similarly, the expected value for \(\bar{p}\) is written as \(\mu_{\bar{p}}=p\), and the standard deviation for \(\bar{p}\) is written as  \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\). Therefore, the correct option for this will be D.

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The complete question is -

Which answer shows

i. The mean of the distribution of \(\bar{x}\).

ii. The standard deviation of the distribution of \(\bar{x}\).

iii. The mean of the distribution of \(\bar{p}\).

iv. The standard deviation of the distribution of \(\bar{p}\).

A.

i. \(\mu_{\bar{x}}=np\)

ii. \(\sigma_{\bar{x}}=\sqrt{\frac{p(1-p)}{n}}\)

iii. \(\mu_{\hat{p}}=np\)

iv. \(\sqrt{np(1-p)}\)

B.

   i. \(\mu_{\hat{p}}=np\)

ii. \(\sigma_{\bar{x}}=\sqrt{np(1-p)}\)

iii. \(\mu_{\hat{p}}=\sqrt{np(1-p)}\)

iv. \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\)

C.

i. \(\mu_{\bar{x}}=p\)

ii. \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\)

iii. \(\mu_{\hat{p}}=\bar{x}\)

iv. \(\sigma_{\hat{p}}=\sqrt{\frac{p(1-p)}{n}}\)

D.

i. \(\mu_{\bar{x}}=\mu\)

ii. \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\)

iii. \(\mu_{\bar{p}}=p\)

iv. \(\sigma_{\bar{p}}=\sqrt{\frac{p(1-p)}{n}}\)

E.

i. \(\mu_{\bar{x}}=\mu\)

ii. \(\sigma_{\bar{x}}=\sqrt{\frac{p(1-p)}{n}}\)

iii. \(\mu_{\bar{p}}=p\)

iv. \(\sigma_{\hat{p}}=\frac{\sigma}{\sqrt{n}}\)

The airplane should head approximately 4.76 degrees east of its intended direction to compensate for the crosswind and end up going due east.

To end up going due east, the airplane needs to counteract the effect of the crosswind and maintain a heading that compensates for the wind's direction and speed.

Since the crosswind is coming from the northeast, it forms a right triangle with the airplane's airspeed and ground speed vectors. The angle between the ground speed vector (due east) and the airspeed vector is the heading the plane should take.

Using trigonometry, we can calculate this angle. The opposite side of the triangle is the speed of the crosswind (50 km/hr), and the hypotenuse is the airspeed (600 km/hr).

Let's denote the angle as θ. We can use the sine function:

sin(θ) = opposite/hypotenuse

sin(θ) = 50/600

θ = sin^(-1)(50/600)

Evaluating this expression, we find θ ≈ 4.76 degrees.

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The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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Answer:

-5c

Step-by-step explanation:

c+c-7c > 2c-7c = -5c

Answer:   the second one?[b] brainliest?

Step-by-step explanation:

Answer:

b and brainlist?

Step-by-step explanation:

The tallest lighthouse in the world is the Jeddah Light. It is 133 m tall. A dhow is sailing away from this lighthouse. From the top of the lighthouse, the angle of depression to the dhow is 65° Later, the angle of depression has changed to 40°.

How far did the dhow travel during that time?

To solve this problem, we can use trigonometry and the fact that the angles in a triangle add up to 180°.

Let's call the distance between the lighthouse and the dhow "d".

We know that the angle of depression from the top of the lighthouse to the dhow is 65°, and the angle of depression later changed to 40°.

Let's call the angle between the horizontal and the line of sight from the lighthouse to the dhow, "x"

Since the angles in a triangle add up to 180°, we can say that:

x + 65 + 40 = 180

x = 75

Now, we can use the tangent function to find the distance d. We know that:

tan(x) = d / h

tan(75) = d / 133

d = 133 * tan(75)

Therefore, the dhow traveled 133 * tan(75) distance during that time.

O centroid

Step-by-step explanation:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

To achieve a precision of 10 significant figures in the numerical solution, we would need to perform the calculations of the coefficient matrix with approximately 13 decimal places.

To analyze the precision of the numerical solution and determine the number of digits required to achieve a precision of 10 significant figures, we need to consider the conditioning number of the coefficient matrix for the system of linear equations.

The conditioning number measures the sensitivity of the solution to changes in the input. A higher conditioning number implies that the system is ill-conditioned, meaning small changes in the input can lead to significant changes in the output.

To calculate the conditioning number, we first need to determine the coefficient matrix for the system of linear equations:

A =

| -44.1 -6 7 -9 |

| -6.8 -5 12.9 0 |

| -13.3 0 -5 0 |

| 0 0 0 -5 |

Next, we calculate the inverse of the coefficient matrix, A⁻¹, using any suitable method, such as Gaussian elimination.

Once we have A⁻¹, we can calculate the infinity norm of both A and A⁻¹. The infinity norm is the maximum absolute row sum of the matrix.

||A|| = 75.9

||A⁻¹|| = 1.509

The conditioning number (based on the infinity norm) is given by the product of ||A|| and ||A⁻¹||:

Conditioning Number = ||A|| × ||A⁻¹|| = 75.9 × 1.509 = 114.519

To achieve a precision of 10 significant figures in the numerical solution, we need to ensure that the relative error caused by rounding errors in the calculations is smaller than 10^(-10).

Since the conditioning number represents the amplification of relative errors, we can use it to estimate the number of significant figures required.

In this case, we want the relative error to be less than 10^(-10), so we can estimate the required number of significant figures using the formula:

Number of significant figures ≈ -log10(10^(-10) / Conditioning Number)

Number of significant figures ≈ -log10(10^(-10)) + log10(Conditioning Number)

Number of significant figures ≈ 10 + log10(Conditioning Number)

Plugging in the value of the conditioning number we calculated earlier:

Number of significant figures ≈ 10 + log10(114.519)

Number of significant figures ≈ 10 + 2.058

Number of significant figures ≈ 12.058

Therefore, to achieve a precision of 10 significant figures in the numerical solution, we would need to perform the calculations of the coefficient matrix with approximately 13 decimal places.

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The expressions that have a product of 10 are:

Option B: 5/6 x 14 = (5/6) * 14 = (514)/6 = 70/6 = 10

Option C: 3/5 x 20 = (3/5) * 20 = (320)/5 = 60/5 = 12

Option A: 5/14 x 14 = (5/14) * 14 = (514)/14 = 70/14 = 5

Option D: 2/3 x 15 = (2/3) * 15 = (215)/3 = 30/3 = 10

So options B and D have a product of 10.

Answer:

False

Step-by-step explanation:

In the confidence interval, the population parameter is unknown and the interval is a random variable.

Answer:

5y - 2

Step-by-step explanation:

1/3 ( 15y - 6 ) = (15y - 6) / 3 = 5y - 2

Done! Hope you learned how to do this/understood this and have a great day! Please mark me as brainliest, vote 5.0 on my answer and thank me to show some support! Bye!

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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Answer:

yes it can fly but it will go down

Answer: C. Bisect DE at G.

Step-by-step explanation:

So, for triangle DEF , if we draw the median DG to the opposite side EF.

Here EF is the opposite side to vertex D.

So, G must be the midpoint of line segment EF.

So , we need to first mark G on EF.

i.e. we need to bisect EF at G.

So first step would be : Bisect EF at G.

If the sample is genuinely random, the mode of the sample may or may not be equal to the mode or mean of the population. The population size must always be equal to the sample size.

A sample's mode is the most common value in the sample. Depending on the variables specified, it might be greater, lower, or equal to the population mode. In general, when the sample size is high enough, the sample mode is assumed to be identical to the population mode. Nevertheless, this is not always the case. The chance of picking any one item in a genuinely random sample is the same throughout the whole population. This means that the mode of the sample may not always be the same as the mode or mean of the population. The sample mode might be greater or lower than the population mode. The population size must always be equal to the sample size. If the population size is 500, the sample size must be 500 as well. Any sample size less than that of the population will not correctly reflect the population.

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The given function is f(x) = 2x² - 8. Here, Domain: All Real Numbers; Range: y ≥ -8; Restrictions: None; Intervals of increasing and decreasing:

The function is increasing for x > 0 and decreasing for x < 0;

Roots: 2x² - 8 = 0

⇒ x = ± √4

= ± 2;

y-intercept: When x = 0, y = -8, hence the y-intercept is (0, -8);

Vertex: We have f(x) = a(x - h)² + k,

where h = 0, k = -8.

Therefore, the vertex is (0, -8).b) The given function is f(x) = +√x.

Here, Domain: x ≥ 0; Range: y ≥ 0; Restrictions: None; Intervals of increasing and decreasing: The function is always increasing; Roots: When x = 0, y = 0, hence the root is (0, 0);

y-intercept: When x = 0, y = 0,

hence the y-intercept is (0, 0); Vertex: We have f(x) = a(x - h)² + k, where h = 0, k = 0. Therefore, the vertex is (0, 0).

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The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By using set builder notation, the domain of this function shown in the graph above can be written as follows;

Domain = {-4, ∞}

Domain = {x|x ≥ -4}

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Answer:

188

Step-by-step explanation:

3(8^2)-4

3(64)-4

192-4

188

Answer: $36

Step-by-step explanation:

Bill is $40, the 25% off coupon is used, and the 20% tip is left.

Step 1: Find 25% of 40

is/40=25/100 ------> 40(25)/100=10

Step 2: Find the new bill price after discount

40-10=30

Step 3: Find the 20% tip of 30

is/30=20/100 ---------> 30(20)/100=6

Step 4: Add the tip with the restaurant bill

30+6=$36

Answer:

7i

Step-by-step explanation:

√-49= √-1*7²= 7√-1= 7i

Answer:

7i

Step-by-step explanation:

The volume of this rectangular prism is equal to 114 3/4 cubic inches..

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 8 1/2 × 3 ×  4 1/2

Volume of rectangular prism = 17/2 × 3 ×  9/2

Volume of rectangular prism = 114 3/4 cubic inches.

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Therefore, the number of ways a student can work 7 out of 10 questions on the exam is 120, which corresponds to option (D).

The number of ways a student can work 7 out of 10 questions on an exam can be calculated using the concept of combinations.

The formula for combinations is given by:

C(n, k) = n! / (k!(n - k)!)

Where n is the total number of items and k is the number of items chosen.

In this case, the student is choosing 7 questions out of a total of 10, so we have:

C(10, 7) = 10! / (7!(10 - 7)!) = 10! / (7!3!)

Simplifying:

10! = 10 * 9 * 8 * 7!

3! = 3 * 2 * 1

C(10, 7) = (10 * 9 * 8 * 7!) / (7! * 3 * 2 * 1)

The 7! terms cancel out:

C(10, 7) = (10 * 9 * 8) / (3 * 2 * 1)

C(10, 7) = 120

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Answer:

she gets 280 texts in a week

Step-by-step explanation:

just multiply 4 times 10 then multiply that answer which is 40 then multply 40 times 280

The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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