42,000 divided by 10'3 (ASAP)

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

Median: 3,3,4,5,6,7,10,11,12

Answer:

6

Step-by-step explanation:

We need to arrange the numbers 3, 11, 6, 5, 4, 7, 12, 3 and 10  in increasing order

3, 3, 4, 5, 6, 7, 10, 11, 12

Next, we need to find such a number so that it is middle one and hase equal amount of number on either side of it

median = 6

Answer:

D. Confidence interval decreases.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

When sample size increases:

The standard deviation of the sample mean is:

\(s = \frac{\sigma}{\sqrt{n}}\)

That is, it is inversely proportional to the sample size, so if the sample size incerases, the standard deviation decreases, and so does the confidence interval.

This means that the correct answer is given by option D.

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

The equation that could be used to represent the context if a represents the cost of labor per hour is a = 481/3.25.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given,  The technician at the store worked on the computer for 3.25 hours and charged him $78 for parts and the total was $484.25.

Therefore, The equation representing the context is,

3.25a + 78 = 484.25.

3.25a = 484.25 - 3.25.

3.25a = 481.

a = 481/3.25.

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Answer: 125

Step-by-step explanation:

Answer:

OP = 29 feet

Step-by-step explanation:

cos 63 = OP/64

0.4540 = OP/64

OP = 29 feet

The cost of each chair is $6.2 and  the cost of each table is $1.34.

Let's solve this problem by assuming the cost of each chair as ‘c’ and the cost of each table as ‘t.’ We can create two equations from the information given we can obtain the values of ‘c’ and ‘t.’

From the given information, the first equation is ‘c + 4t = 53’ because the cost to rent one chair and four tables is $53. The second equation is ‘3c + 2t = 25’ because the cost to rent three chairs and two tables is $25.

We can solve this by either substitution or elimination, but the method we used earlier works - multiplying the first equation by 3 and subtracting the second equation from it, to obtain:

3c + 12t = 159

- (3c + 2t =25)

------------------

10t = 134

Therefore, the cost of each table is $13.4.

We can plug this value back into equation 1 and solve for c

c + 4(13.4) = 53

c + 53.6 = 53

c = -0.6

This isn't a possible solution as the cost of the chair cannot be negative.

Thus, we need to check if an error was made earlier. We can plug the value of t in the second equation:

3c + 2t = 25

3c + 2(13.4) = 25

3c + 26.8 = 25

This equation is contradictory, indicating that there is no solution. We need to revise the problem statement, a possible typo can be a misplaced decimal point for example, if the cost of each table is instead $1.34, all equations will hold, and the final answer will be:$6.2 and $1.34 respectively according to the question.

This is a possible solution and makes sense.

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Answer:

its  b

Step-by-step explanation:

if you look at the chart

study=3

if it was 3% then it would smaller

but its 30% because it  is bigger than 3 %

therefore its b

your welcome

Step-by-step explanation:

y=3*-2

y=-6

y=3*-1

y=-3

y=3*0

y=0

y=3*1

y=3

y=3*2

y=6

Hope this makes sense

The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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Answer:

Random samples

Counts of successes and failures at least 15 each for each group.

Step-by-step explanation:

For making any inferences about the differences of the two independent population proportion, we assumed that the samples are of random and the counts of the success and the failures are at least 15 each for each of the groups.

From such assumption of the randomness, the observations in the population 1 will not be affected by the observations in the population 2, and also vice versa.

The assumptions of the counts refers tot he samples from each population that are big enough to justify by the normal distribution in order to model the differences between the proportions.

Therefore the assumptions that we need to make are:

-- Random samples

-- Counts of successes and failures at least 15 each for each group.

When we make inferences about the difference of two independent population proportions, we assume that it is a random sample, and the number of successes and failures are at least 15 in each group.

Two independent proportions tests involve comparing the proportions of two unrelated datasets.

For these two datasets to be regarded as an independent population, the following must be true or assumed to be true

Hence, the above highlights are the assumptions of two independent population proportions.

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If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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Answer:

can i have a photo, please?

Step-by-step explanation:

The equation that represents the cost, c, of n sets is c = 63.74n

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

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Answer: 1.6

Step-by-step explanation:

each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces

Answer:

shown below

Step-by-step explanation:

golf balls per ounce = 5/8 or 0.625

ounces per gold ball = 8/5 or 1.6

Answer:

Step-by-step explanation:

A and B are correct!

For part C, just multiply the dimensions given to you by four.

For part D, the answer would be 4 x 4 x 4 which is 264

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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Answer:

49.2

9

Step-by-step explanation:

7.46² - 2.54² = (7.46 - 2.54)(7.46 + 2.54)

                     = (4.92)(10)

                     = 49.2

(1 x 4) x 3 = [1² + √(1 x 4)] x 3 = [1 + √4] x 3 = [1 + 2] x 3 = 3 x 3 = 9

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

its 3 percent

Step-by-step explanation:

Since this system of linear inequalities can be used to find the possible heights, in inches, of Darius, d, and his brother William, w, the three statements which must be true about their heights include all of the following:

A. Darius is at least 36 inches tall.

C. William’s height is less than 68 inches.

F. Darius is no more than 4 inches taller than twice William’s height.

In order to write a system of linear inequalities to describe this situation, we would assign variables to the possible heights, in inches, for Darius and Williams, and then translate the word problem into algebraic equation as follows:

Next, we would interpret the given system of linear inequalities as follows;

d ≥ 36 ⇒ "Darius is at least 36 inches tall." because of the greater than or equal to (≥) inequality symbol.

w < 68 ⇒ "William’s height is less than 68 inches." because of the less than (<) to inequality symbol.

Additionally, d ≤ 4 + 2w ⇒ "Darius is no more than 4 inches taller than twice William’s height." because of the less than or equal to (≤) inequality symbol.

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Answer:

the surface area of the rectangular prism is 572cm².

Step-by-step explanation:

The surface area of a rectangular prism can be calculated using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values you provided, we get:

2 * 4cm * 15cm + 2 * 4cm * 14cm + 2 * 15cm * 14cm = 572 cm²

So the surface area of the rectangular prism is 572 square centimeters.

Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

Answer:

(0, 2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Linear equations are equations that have constant slopes

The linear equation that represents the table is (a) y = 7x +4

How to determine the linear equation

Start by calculating the slope (m) using:

So, we have:

Simplify

The equation is then calculated as:

So, we have:

Open the brackets

Hence, the linear equation that represents the table is (a) y = 7x +4

Answer:

\(4^{4}\)×\(6^{2}\)

Step-by-step explanation:

There is 2 of the same number 6 and there is 4 of the number 4

I hope this helps

Answer:

4 your welcome have a nice day

If Bananas cost $0.56 per pound at Walmart. If I purchased bananas for $1.96 then 3.5 pounds of bananas purchased.

Let x represent the number of pounds of bananas you purchased.

The cost of bananas per pound is $0.56.

Therefore, the total cost of the bananas you bought is given by:

Total cost = Cost per pound × Number of pounds

$1.96 = $0.56 × x

To solve for x, we divide both sides of the equation by $0.56:

x = $1.96 / $0.56

Using a calculator, we can calculate the value of x:

x = 3.5

Therefore, you purchased approximately 3.5 pounds of bananas.

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Answer:The value of z test statistics is 1.561.

Step-by-step explanation:

We are given that a poll finds that 54% of the 600 people polled favor the incumbent.

Shortly after the poll is taken, it is disclosed that the incumbent had an extramarital affair. A new poll finds that 50% of the 1030 polled now favor the incumbent.

Let p_1 = population proportion of people who favor the incumbent in the first poll

p_2 = population proportion of people who favor the incumbent in the second poll

So, Null Hypothesis, H_0 : p_1\geq p_2      {means that his support has increased or remained same after the second poll}

Alternate Hypothesis, H_0 : p_1 < p_2    {means that his support has decreased after the second poll}

The test statistics that would be used here is Two-sample z test for proportions;

where, \hat p_1 = sample proportion of people who favor the incumbent in first poll = 54%

\hat p_1 = sample proportion of people who favor the incumbent in second poll = 50%

n_1 = sample of people in first poll = 600

n_2 = sample of people in second poll = 1030

So, the test statistics  = 1.561

        Hence, the value of z test statistics is 1.561.