match each terminology with its corresponding definition prompt 1producer surplus answer for prompt 1 producer surplus the point where the supply and demand curve intersect each other. prompt 2equilibrium answer for prompt 2 equilibrium the point where the supply and demand curve intersect each other. prompt 3consumer surplus answer for prompt 3 consumer surplus prompt 4the total energy used answer for prompt 4 the total energy used

Answer:

B 2 m

Step-by-step explanation:

2 cm and 2 mm are way to small they are less than the size of a cell phone

2 km is way to large it is larger than a car

Answer:

b. angles 1 and 8

Step-by-step explanation:

alternate exterior angles theorm

Step-by-step explanation:

\( \frac{ \cot(x) - 1 }{ \cot(x) + 1} \\ \cot(x) = \frac{1}{ \tan(x) } \\ (\frac{1}{ \tan(x) } - 1) \div ( \frac{1}{ \tan(x) + 1} ) \\ multiply \: though \: by \: \tan(x) \\ \tan(x) \times ( \frac{1}{ \tan(x) } - 1 ) \div \tan(x) \times ( \frac{1}{ \tan(x) } + 1) \\ = 1 - \tan(x) \div 1 + \tan(x) \\ \frac{ \cot(x) - 1}{ \cot(x) + 1 } = \frac{1 - \tan(x) }{1 + \tan(x) } \)

a) About 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

b) About 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

c) The estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

To answer these questions, we'll use the properties of the normal distribution and the given mean and standard deviation.

(a) To find the percentage of test takers who earn a score less than 500 on the GRE Chemistry test, we need to calculate the cumulative probability up to the score 500.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (500 - 694) / 112

z-score ≈ -1.732

Now, we look up the cumulative probability for a z-score of -1.732 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.0416 or 4.16%.

So, about 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

(b) To find the proportion of test takers who earn a score greater than or equal to 900, we need to calculate the cumulative probability from 900 to positive infinity.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (900 - 694) / 112

z-score ≈ 1.839

Now, we look up the cumulative probability for a z-score of 1.839 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.9664 or 96.64%.

So, about 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

(c) To estimate the score at the 99th percentile on the GRE Chemistry test, we need to find the value that separates the lowest 99% of the scores from the highest 1%.

We use the z-score formula to find the z-score corresponding to the 99th percentile:

z-score = invNorm(0.99)

z-score ≈ 2.326

Now, we use the z-score to find the score corresponding to the 99th percentile:

X = mean + (z-score * standard deviation)

X = 694 + (2.326 * 112)

X ≈ 694 + 260.512

X ≈ 954.512

So, the estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

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Answer:

6

Step-by-step explanation:

Answer:

Left question- B

Right- D

Step-by-step explanation:

Left- 85÷5 is 17

Right- A cube has 6 sides and so 126 ÷6= 21

Answer:

17

42

Step-by-step explanation:

1st question:  P (A) = 1/5 · 85 = 17

2nd question: P (1 or 2) = 1/6 + 1/6 = 2/6 or 1/3;   1/3 · 126 = 42

Answer:

No Solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

Using regression, the exponential equation that models the data is \(f(t) = 11404.727 \times 0.870^{ (t-7)\)rounded to three decimal places.

Therefore, there were approximately 451 people in the arena 35 minutes after the event ended, approximately 126 people in the arena 52 minutes after the event ended, and approximately 10637 people in the arena at the exact moment the event ended (rounded to the nearest whole number).

Using a regression tool, we can find an exponential equation that models the data:\(f(t) = 11404.727 \times 0.870^{(t-7),\) rounded to three decimal places.

To find the number of people in the arena at a given time t, we can simply substitute t into the equation and evaluate f(t).

So, to answer the questions:

At t = 35 minutes: f(35) ≈ 451 people

At t = 52 minutes: f(52) ≈ 126 people

At the exact moment the event ended (t = 0 minutes): f(0) ≈ 10637 people (rounded to the nearest whole number).

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Answer:

the answer is A.

Step-by-step explanation:

Depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To plot an ordered pair starting from the origin and moving 0.25, we need both an x-coordinate and a y-coordinate.

We are starting from the origin (0, 0), we can apply the movement of 0.25 to either the x-axis or the y-axis.

If we move 0.25 units on the x-axis, the x-coordinate of the ordered pair would be 0.25, and the y-coordinate would remain 0 since there is no movement on the y-axis. Therefore, the ordered pair would be (0.25, 0).

Similarly, if we move 0.25 units on the y-axis, the x-coordinate would remain 0 since there is no movement on the x-axis, and the y-coordinate of the ordered pair would be 0.25. In this case, the ordered pair would be (0, 0.25).

So, depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

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Answer:

y + 7 = 1/2 ( x + 6 )

Step-by-step explanation:

y - y1 = m(x - x1)

Answer: I do not have enough information to solve this equation

Step-by-step explanation:

I do not have enough information to solve this equation

Answer:

I can help a little y = the part your trying to find or the x which is the same thing so y = [x - 3] + 2 sorry I wasn't mush help.

Answer:

B

Step by Step Answer:

If you translate the above equation across the y-axis you will get:

\(y = - |x - 3|\)

Distribute the negative sign into the absolute value bars and get:

\(y = |x + 3| \)

Answer:

Step-by-step explanation:

Using provided formula and filling in the variables:

z = \(\frac{(0.6-0.7)-(0)}{\sqrt{\frac{0.615782*0.384218}{88}+\frac{0.615782*0.384218}{82} }}\)

Filling in in calculator:

z ≈ -1.34

the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis

To determine if there is evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans, we can perform a hypothesis test. Let p1 be the proportion of Democrats who believe in the conspiracy theory, and p2 be the proportion of Republicans who believe in the conspiracy theory.

Let's set up the hypotheses:

Null hypothesis (H0): p1 - p2 = 0 (There is no difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

Alternative hypothesis (Ha): p1 - p2 ≠ 0 (There is a difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

We will use a two-sample proportion test to test these hypotheses. The test statistic for this test is given by:

\(\[ Z = \frac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})(\frac{1}{n_1}+\frac{1}{n_2})}} \]\)

where:

- \(\( \hat{p}_1 \)\) and \(\( \hat{p}_2 \)\) are the sample proportions of Democrats and Republicans who believe in the conspiracy theory, respectively.

- n₁ and n₂ are the sample sizes of Democrats and Republicans, respectively.

- \(\( \hat{p} \)\) is the overall proportion of belief in the conspiracy theory, calculated as the total number of believers divided by the total sample size.

The p-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true.

Given the sample data:

Democrats: n₁ = 788 and \(\( \hat{p}_1 = \frac{137}{788} \)\)

Republicans: n₂ = 866 and \(\( \hat{p}_2 = \frac{105}{866} \)\)

Let's calculate the test statistic and the p-value:

Step 1: Calculate \(\( \hat{p} \)\):

Total number of believers = 137 + 105 = 242

Total sample size = 788 + 866 = 1654

\(\( \hat{p} = \frac{242}{1654} \)\)

Step 2: Calculate the test statistic (Z):

\(\[ Z = \frac{\frac{137}{788} - \frac{105}{866}}{\sqrt{\frac{242}{1654} \cdot \left(1 - \frac{242}{1654}\right) \cdot \left(\frac{1}{788} + \frac{1}{866}\right)}} \]\)

≈ -1.258

Step 3: Calculate the p-value using the standard normal distribution table for a two-tailed test.

To calculate the p-value, we need to find the probability that a standard normal distribution is less than or greater than the absolute value of the test statistic. Since the alternative hypothesis is two-sided (p1 ≠ p2), we will calculate the p-value as twice the probability of the test statistic being greater than the absolute value of the calculated z-value.

Using a standard normal distribution table or a statistical software, we find that the p-value is approximately 0.208.

Conclusion:

Since the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis. There is insufficient evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans.

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Answer:

3.75

Step-by-step explanation:

Answer: 3.75

Step-by-step explanation: 3/4=.75 so add 3 and you get 3.73

Answer: The sprinkler can cover is 450 square feet.

Step-by-step explanation: The area covered by a circle is given by the formula:

A = πr^2

where A is the area and r is the radius.

In this case, the radius is given as 12 feet, so we can calculate the area covered by the sprinkler as:

A = π(12 ft)^2

A = 144π square feet

We can use the approximation π ≈ 3.14 to estimate the area covered:

A ≈ 144 x 3.14

A ≈ 452.16 square feet

Therefore, the closest choice to the area of lawn that the sprinkler can cover is 450 square feet.

The required answer is the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

Explanation:-

a. Economic order quantity (EOQ) is defined as the optimal quantity of inventory to be ordered each time to reduce the total annual inventory costs.

It is calculated as follows: EOQ = sqrt(2DS/H)

Where, D = Annual demand = 100 x 52 = 5200S = Order cost = $57 per order H = Annual holding cost = 0.30 x 10.75 = $3.23 per bag per year .Therefore, EOQ = sqrt(2 x 5200 x 57 / 3.23) = 234 bags. The average time between orders (TBO) can be calculated using the formula: TBO = EOQ / D = 234 / 100 = 2.34 weeks ≈ 2 weeks (rounded to nearest whole number).

Hence, the EOQ is 234 bags and the average time between orders is 2 weeks (approx).b. R is the reorder point, which is the inventory level at which an order should be placed to avoid a stockout.

It can be calculated using the formula:R = dL + zσL

Where,d = Demand per day = 100 / 5 = 20L = Lead time = 1 week (5 working days) = 5 day

z = z-value for 92% cycle-service level = 1.75 (from standard normal table)σL = Standard deviation of lead time demand = σ / sqrt(L) = 16 / sqrt(5) = 7.14 (approx)

Therefore,R = 20 x 5 + 1.75 x 7.14 = 119.2 ≈ 120 bags

Hence, the reorder point R should be 120 bags.c. An inventory withdraw of 10 bags was just made. Is it time to reorder?The current inventory level is 310 bags, which is greater than the reorder point of 120 bags. Since there are no open orders or backorders, it is not time to reorder.d. The store currently uses a lot size of 500 bags (i.e., Q = 500).What is the annual holding cost of this policy.

Annual ordering cost. Without calculating the EOQ, how can you conclude the lot size is too large?Annual ordering cost = (D / Q) x S = (5200 / 500) x 57 = $592.80 per year.

Annual holding cost = Q / 2 x H = 500 / 2 x 0.30 x 10.75 = $806.25 per year. Total annual inventory cost = Annual ordering cost + Annual holding cost= $592.80 + $806.25 = $1,399.05Without calculating the EOQ, we can conclude that the lot size is too large if the annual holding cost exceeds the annual ordering cost.

In this case, the annual holding cost of $806.25 is greater than the annual ordering cost of $592.80, indicating that the lot size of 500 bags is too large.e.

The annual cost saved by shifting from the 500-bag lot size to the EOQ can be calculated as follows:Total cost at Q = 500 bags = $1,399.05Total cost at Q = EOQ = Annual ordering cost + Annual holding cost= (D / EOQ) x S + EOQ / 2 x H= (5200 / 234) x 57 + 234 / 2 x 0.30 x 10.75= $245.45 + $93.68= $339.13

Annual cost saved = Total cost at Q = 500 bags - Total cost at Q = EOQ= $1,399.05 - $339.13= $1,059.92

Hence, the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

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Answer: \(\frac{5}1}\) or 5

Step-by-step explanation:

Gradient = \(\frac{y_{2}-y_{1}} {x_{2}-x_{1}}\\\) where;

\((x_{1},y_{1} )\) is the first point, that is A in this question and

\((x_{2} ,y_{2} )\)is the second point, that is B in this question.
Therefore, \(y_{2} -y_{1}\)=5

                  \(x_{2}- x_{1}\)=1

So, the gradient = \(\frac{5}{1}\) or 5

Step-by-step explanation:

Area of each of the ends    pi r^2   there are TWO

  TWO x  pi ( 7^2)   = 98 pi     in^2

SIDE area is   circumference ( pi * d )   *   height ( 2)

        Side =  pi ( 7x2) * 2   = 28 pi   in^2

Total  =  98 pi  +  28 pi  =  126 pi     in^2      <=====exact answer

                                       = 395.84    in^2      <===== approx answer

The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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Answer:

1) Option C is correct.

Difference should be 0.

2) Option D is correct.

The cutoff t-scores are -2.262, 2.262.

t < -2.262, t > 2.262

3) Option A is correct.

The variance = (135/10) = 13.5

Step-by-step explanation:

1) For any hypothesis test, the first step is usually to define the null and alternative hypothesis.

In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

For this test, the counselling psychologist wants to check if there is a difference, whether positive or negative between the procrastination times before and after attending the workshop.

So, the appropriate parameter to compute would be the difference in procrastination times before and after the workshop.

Then the null hypothesis would be that the difference between these two times is 0.

Alternative hypothesis would be that there is no difference between the two times.

Mathematically, if the difference between the two times is p.

The null hypothesis is represented as

H₀: p = 0

The alternative hypothesis is represented as

Hₐ: p ≠ 0

Hence, it is evident that the comparison population would be the difference scores being 0.

b) This test aims to test whether there's a negative or positive difference in the scores before and after the workshop.

So, the test will be in both directions. The cut off t-score indicating the rejection regions would be found using the significance level provided (0.05) and the degree of freedom.

degree of freedom = df = n - 1 = 10 - 1 = 9

t(9, 0.05) = ± 2.2622 (from the t-distribution tables)

c) Variance is an average of the squared deviations from the mean.

Mathematically, estimate of the population variance is given as

Variance = σ² = [Σ(x - xbar)²/N]

Where Σ(x - xbar)² = square of the deviations from the mean = 135

N = Sample Size = 135

So, variance = (135/10) = 13.5

Hope this Helps!!!

Answer:

B = (5, -2)

Step-by-step explanation:

(- 3 + x) / 2 = 1

-3+x = 1*2

x = 2+3

x = 5

(-6+y)/2=-4

-6+y = - 4*2

y = - 8 + 6

y = - 2

Answer:

28.26

Step-by-step explanation:

A = area of a sector

π = 3.14

r = 9

θ = 40

A=πr²*θ/360=3.14*81*40/360=28.26

Answer:

A. 12 + (-9)

Step-by-step explanation:

adding 8 to 4 is 12 and 9 remains as it is.

Answer:

Hey! Ok so the answer is B. Geometric

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 5 gives the next term.

Hope you have a great day! I'm Eve btw Hoped this helped and consider marking this brainiest thanks so much if you do!

Answer:

f(0)=1

Step-by-step explanation:

The question asks us to find f(0). We want to find what f(x), or y is, when x is equal to 0.

f(x)=3^x

Therefore, we can substitute 0 in for x.

f(0)=3^0

Evaluate the exponent, 3^0.

Any number raised to the power of zero is equal to 1.

f(0)=1

Answer:

1

Step-by-step explanation:

f(0) = 3^0

f(0) = 1

anything to the 0th power = 1