4. A one-year membership in a video rental club costs $10. Members pay $1.25 per video rental. You spend $45 in one year. How many videos did you rent?

how do u solve this????

Answer:

The answer is "Option C"

Step-by-step explanation:

Given:

\(r= 30 \ cm\\\\\theta =60^{\circ}\)

Using formula:

\(\frac{A}{\theta}=\frac{\pi r^2}{2\pi}\\\\\frac{A}{\theta}=\frac{\pi r^2}{2}\\\\A=\frac{r^2\times \theta}{2}\)

Answer:

C is the correct answer due to two-step inequality process

Step-by-step explanation:

Your inequality is: 5a + 18 < -27

First,  you must remember that the < or > shall not be shaded in.

You could automatically eliminate answer A.

Now you need to do two-step inequalities which is the same thing as two-step equations but with an inequality sign.

5a + 18 < -27

5a < -27-18

5a < -45

**Now, here's something important: If you are multiplying with negatives while dealing with inequalities you must switch the sign to its opposite.

-9 > a

You need to find a number line that has numbers less than -9. It could be -10, -11, -12, -122, etc.

C is the correct answer.

The linear system Ax = b is called homogeneous if b = 0; otherwise, it is called inhomogeneous. When all of the constant terms in a system of linear equations are zero, the system is said to be homogeneous. The related homogeneous system of a nonhomogeneous system is obtained by setting the constant term in each equation equal to zero.

There is always one solution, the zero vector, to a homogeneous system. A homogeneous system that has undergone a row operation maintains its homogeneity. It is significant to notice that we frequently exclude the final column of constant terms when representing a homogeneous system as a matrix since row operations would not change that column. So, rather than using an augmented matrix, we employ a standard matrix. There could be no specific solution and an empty solution set in the nonhomogeneous system. In a nonhomogeneous linear system of n equations in n variables, the origin is not always present at the intersection of the solution sets. Although an infinite intersection is still theoretically possible, a single point is still the most likely scenario for the intersection. But, there is also the chance of an empty intersection, which has no solution, as might occur, for instance, when intersecting two parallel lines.

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The cook still needs 24 kilograms of beans to complete the recipe. The cook has a total of 2 bags of beans, each containing 7 kilograms of beans.

Therefore, the total weight of the beans he has is 2 * 7 = 14 kilograms.

To find out how many more kilograms of beans he needs, we can subtract the weight of the beans he has from the total amount he needs. Therefore:

Amount of beans the cook needs - Amount of beans the cook has = Amount of beans he still needs

Substituting the values we get:

38 - 14 = 24

Therefore, the cook still needs 24 kilograms of beans to complete the recipe.

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Step-by-step explanation:

ANSWER: DAB

Answer:

What is the length of EF: 12

What is the length of BC: 8

Step-by-step explanation:

Since there congruent shapes the line segments are gonna be the same lengths.

Answer:

Step-by-step explanation:

If the figures are congruent then BA and FE are equal. You only know this by the shape.

Answer:

a - 8^2

b-2^8

c-4^2

d-2^4

Answer:

The first on the left is the last one on the right, the second on the left is the second on the right, the third on the left is the third on the right, and the fourth on the left is the first on the right. Hope this helps.

Step-by-step explanation:

The recursive definition is a formula that gives the nth term of the sequence as a function of one or more of the preceding terms of the sequence. Recursive definitions are used in mathematics to define sequences of numbers, where each term of the sequence is a function of one or more of the preceding terms of the sequence.

A recursive definition of the sequence {4,8,16,32,64,....} is given by the formula T(n) = 2T(n-1) with T(1) = 4. This formula states that each term in the sequence is double the preceding term. That is, to find the nth term of the sequence, we find the (n-1)st term of the sequence and multiply it by 2.

The recursive definition of a sequence is a formula that gives the nth term of the sequence as a function of one or more of the preceding terms of the sequence. Recursive definitions typically consist of two parts: a formula for the first term (or first few terms) of the sequence and a formula for each subsequent term that depends on one or more preceding terms.

A recursive definition of the sequence {4,8,16,32,64,....} can be obtained using the formula T(n) = 2T(n-1) with T(1) = 4. To find the nth term of the sequence, we find the (n-1)st term of the sequence and multiply it by 2. For example, T(2) = 2T(1) = 2(4) = 8, T(3) = 2T(2) = 2(8) = 16, and so on. Hence, the recursive definition of the sequence {4,8,16,32,64,....} is given by T(n) = 2T(n-1) with T(1) = 4.

:The recursive definition is a formula that gives the nth term of the sequence as a function of one or more of the preceding terms of the sequence. Recursive definitions are used in mathematics to define sequences of numbers, where each term of the sequence is a function of one or more of the preceding terms of the sequence.

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Step-by-step explanation:

y = 28

plz mark my answer as brainlist plzzzz vote me also .....

Answer:

y=28

Step-by-step explanation:

2/7=0.2857

so,  

8/y=0.2857

y=8/0.2857    

y=28

How to find the bearing between two points?

Let's assume that:

Then, if the man moves 12 km due west and then 12 km due south, the new position is:

( 0km - 12km, 0km - 12km) = (-12 km, -12km)

This lies just in the middle of the third quadrant, so we have 90° per quadrant plus half of that:

90° + 90° + 45° = 225°

This is the angle measured from the positive x-axis, which is the east.

If we consider the negative x-axis, which is the west, the angle would be:

θ = 45°

This means that the bearing is 45° south of west.

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Answer:

3^(2x+1)

Step-by-step explanation: srry if am wrong and am probally wrong.

Answer 1:

\(y = \frac{9}{5} - \frac{6x}{5}\)

Answer 2:

\(y = 3 - \frac{8(x+7)}{7}\)

Note:

User stated an explanation was not needed.

In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.

In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.

The linear regression equation is given as:

y = b0 + b1 * x

Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable

In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.

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The height of the plane PA is given as; 1591 ft

There are different trigonometric ratios such as;

cos θ = adjacent/hypotenuse

sin θ = opposite/hypotenuse

tan θ = opposite/adjacent

Now, looking at the given image showing plane and bridge indicated by lines, we can use one of the trigonometric ratios to get the height of the plane PA as;

PA/3000 = tan B

now angle B = 28 degrees from alternate angles postulate. Thus;

PA/3000 = tan 28

PA = 3000 * tan 28

PA = 3000 * 0.5317

PA = 1591 ft

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\(tan 28^o = \frac{PA}{3000}\)

tan 28° · 3000= PA

(use a scientific calculator)

1595.128= PA

height = 1595

Pinot Noir wines were evaluated by a panel of eight judges. The judges are assumed to be a random selection from all possible judges. The objective is to analyze the data from the evaluations

To analyze the data, we would consider the evaluations of the three Pinot Noir wines by the eight judges. This information allows us to assess the preferences and opinions of the panel regarding the wines. We can examine various aspects such as the average ratings, individual judge's scores, and any patterns or trends that emerge from the evaluations.

By analyzing the data, we can determine the level of agreement among the judges, identify any variations in their ratings, and gain insights into the overall quality and preference of the wines. Additionally, we can explore statistical techniques to summarize the data, such as calculating mean scores, standard deviations, and conducting hypothesis tests to compare the wines or assess the reliability of the judges' evaluations.

Overall, the evaluation by a random panel of judges provides an opportunity to understand the characteristics and perceived quality of the three Pinot Noir wines based on the judgments of the selected panel.

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Answer: 4,500 i got this answer

:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.8million/400

\(18 * 10 ^{-1} *10^{6}*10^{-2} /4\)

=4.5*10^3

=4.5*1000

=4500

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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a) The sales during year 0 are 300 units.

It will take approximately 0.2877 years, or about 3.45 months, for sales to reach 500 units.

(a) To find the sales during year 0, we need to evaluate the function S(x) at x = 0.

Substituting x = 0 into the function \(S(x) = 1,100 - 800e^{(-x)},\) we have:

\(S(0) = 1,100 - 800e^{(-0)\)

= 1,00 - 800(1)

= 1,100 - 800

= 300

Therefore, the sales during year 0 are 300 units.

(b) To determine the number of years it will take for sales to reach 500 units, we need to solve the equation S(x) = 500.

Setting S(x) = 500 in the function\(S(x) = 1,100 - 800e^{(-x)\), we have:

\(500 = 1,100 - 800e^{(-x)}\)

Subtracting 1,100 from both sides:

\(-600 = -800e^{(-x)}\)

Dividing both sides by -800:

\(0.75 = e^{(-x)\)

To solve for x, we take the natural logarithm of both sides:

\(ln(0.75) = ln(e^{(-x)})\)

Using the property of logarithms \((ln(e^a) = a),\) we have:

ln(0.75) = -x

Rearranging the equation:

x = -ln(0.75)

Using a calculator, we find:

x ≈ 0.2877.

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The question is whether the variances for Accord and Camry prices can be assumed to be equal at a 5% level of significance. This involves conducting a statistical test to compare the variances.

To determine if the variances for Accord and Camry prices are equal, a statistical test can be performed. One commonly used test is the F-test, which compares the ratio of variances. The null hypothesis states that the variances are equal, while the alternative hypothesis states that the variances are not equal.

To conduct the test, the prices of the Accord and Camry can be collected as samples. Using data analysis tools in Excel, the appropriate test of variances (e.g., F-test) can be applied to compare the variances of the two samples. The resulting p-value will indicate the statistical significance of the test.

If the p-value is less than the chosen significance level (in this case, 5%), we would reject the null hypothesis and conclude that the variances are not equal. On the other hand, if the p-value is greater than or equal to the significance level, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a difference in variances.

In summary, by conducting the appropriate test of variances (such as the F-test) using data analysis tools in Excel, we can determine if the variances for Accord and Camry prices can be assumed to be equal at a 5% level of significance.

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At the 5% level of significance the variances for Accord and Camry prices are [not] equal. To determine that we can start by assuming the variances for Accord and Camry prices are equal. To do this, we can perform a hypothesis test using the appropriate test of variances.

The null hypothesis, denoted as H0, states that the variances of Accord and Camry prices are equal. The alternative hypothesis, denoted as Ha, states that the variances are not equal.
To perform the test using data analysis in Excel, you can follow these steps:
1. Organize your data: Prepare two separate columns for Accord prices and Camry prices.
2. Open Excel and go to the "Data" tab.
3. Click on "Data Analysis" (if you don't see this option, you may need to enable the Data Analysis ToolPak).
4. Select "Variance" from the list of analysis tools and click "OK".
5. In the "Input Range" field, select the range of data for Accord prices.
6. In the "Alpha" field, enter the significance level of 0.05 for the 5% level.
7. Check the "Labels" box if your data has column labels.
8. In the "Output Range" field, select where you want the test results to appear.
9. Repeat steps 5-8 for the Camry prices.
10. Analyze the output: Look for the test statistic and p-value associated with the variances. The test statistic is typically denoted as F and the p-value will indicate the level of significance.
11. Make a decision: If the p-value is less than the significance level (0.05), reject the null hypothesis and conclude that the variances are not equal. If the p-value is greater than the significance level, fail to reject the null hypothesis and conclude that the variances are equal.

To write the complete decision statement, you could say:
"At the 5% level of significance, based on the data analysis using the appropriate test of variances in Excel, the p-value is [insert p-value]. Since the p-value is [less than/greater than] the significance level of 0.05, we [reject/fail to reject] the null hypothesis. Therefore, we conclude that the variances for Accord and Camry prices are [not] equal."

Please note that the actual steps in Excel may vary depending on the version you are using, but the general process remains the same.

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To calculate a rate, divide the change in the quantity by the corresponding change in the unit of time.

Calculating a rate involves determining the amount of change in a quantity per unit of time. It is commonly expressed as a ratio or a fraction. The formula for calculating a rate is:

Rate = Change in Quantity / Change in Time

Determine the quantity involved: Identify the specific quantity that you want to measure, such as distance, speed, flow, or growth.

Determine the corresponding unit of time: Identify the unit of time over which the quantity is changing, such as seconds, hours, days, or years.

Measure the initial and final values: Take measurements or obtain data for the initial and final values of the quantity of interest.

Calculate the change in quantity: Subtract the initial value from the final value to find the change in the quantity.

Calculate the change in time: Subtract the initial time from the final time to find the change in the unit of time.

Divide the change in quantity by the change in time: Divide the change in the quantity by the corresponding change in the unit of time.

Simplify or round the rate if necessary: Depending on the context and desired level of precision, simplify or round the rate to an appropriate number of decimal places or significant figures.

By following these steps and applying the formula, you can calculate a rate accurately.

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Answer:

The correct option is -

Yes, because the Expected value is 1 and not negative which would imply that there is a chance of winning.

Step-by-step explanation:

Given - A bag contains 10 blue marbles, 3 yellow marbles, and 12 orange marbles. If a blue marble is drawn you win $10. If a yellow marble is drawn you win $15. if an orange marble is drawn you lose $10. it cost $1 to play.

To find - Should you play the game?

Formula used -

Expected value , E[x] = ∑x p(x)

where p(x) is the probability.

Proof -

Given that,

Total blue marbles in a bag = 10

Total yellow marbles in a bag = 3

Total orange marbles in a bag = 12

So,

Total number of marbles in a bag = 10 + 3 + 12 = 25

Now,

Probability of getting blue marble = \(\frac{10}{25}\)

Probability of getting yellow marble = \(\frac{3}{25}\)

Probability of getting orange marble = \(\frac{12}{25}\)

So,

Expected value , E[x] = ∑x p(x)

                                   = (10)( \(\frac{10}{25}\)) + (15)(\(\frac{3}{25}\)) + (-10)(\(\frac{12}{25}\))

                                   = \(\frac{100}{25} + \frac{45}{25} - \frac{120}{25}\)

                                   = \(\frac{100 + 45 - 120}{25}\)

                                   = \(\frac{25}{25}\)

                                   = 1

So,

Expected value = 1

So,

The correct option is -

Yes, because the Expected value is 1 and not negative which would imply that there is a chance of winning.

Answer:

6 elephants + 15 tigers

Step-by-step explanation:

(Im assuming that the animals are meant to be variables)

X = elephants, y = tigers

2x + 15y + 4x

Combine like terms: 2x + 4x +15y

Simplify: 6x + 15y

Answer:14.42

How to get it:Use Pythagorean Theorem to solve this problem. Since a squared plus b squared =c squared and we have an and c we can work backwards. Start by squaring 17 (17x17) which would be 289. Then do 9 squared (9x9) to get 81. Subtract 289-81 to get 208, square root this for your answer 14.4222 round to 14.42. You can check this by doing 14.4222 squared plus 9 squared then square root it and you should get approximately, but not exactly 17.

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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Answer:

4 batches

Step-by-step explanation:

1/3=2/6, 2/3=4/6

Answer: = 3 acres per day

Showing Work

This is a fraction equal to

3 acres ÷ 1 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

3 acres ÷ 1

__________

1 days ÷ 1

=

3 acres

_____

1 day

=

3 acres

______

day

= 3 acres per day

The manufacturer estimates that about 1% of the light bulbs are defective. We can solve for the probability of defective bulbs using the binomial probability distribution formula. A package of 10 lightbulbs is taken randomly from the shipment. We have to find the probability that at most 1 lightbulb in a package of 10 lightbulbs is defective.The probability that a single light bulb in the package is defective is 0.01. The probability that in a package of 10 lightbulbs, at most 1 light bulb is defective is 0.9043.

So, the probability that a single light bulb in the package is not defective is (1-0.01) = 0.99.

Probability of at most one defective light bulb in a package of 10 lightbulbs:

P(X ≤ 1) = P(X = 0) + P(X = 1)

= (10C0 × 0.01⁰ × 0.99¹⁰) + (10C1 × 0.01¹ × 0.99⁹)

= (1 × 1 × 0.99¹⁰) + (10 × 0.01 × 0.99⁹)

= 0.9043 (approx.)

The probability that in a package of 10 lightbulbs, at most 1 light bulb is defective is 0.9043 (approx.).

Thus, the probability that in a package of 10 lightbulbs, at most 1 light bulb is defective is 0.9043.

This has been calculated using the binomial probability distribution formula.

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