Evaluate this expression. 28 500 x 0.069 1- (1 + 0.069)^-9 Write your answer to 2 decimal places. 2389.27 b. 186 476.60 4355.77 d. 696.59

The solution is, The equation can be represented by 2 ÷ 0.5  = 4

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

from the given diagram we get,

there are 2 box dividing into 1/2 parts.

i.e. The equation can be represented by 2 ÷ 0.5

                                                                    = 4

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We would reject the null hypothesis in favor of the alternative hypothesis.

The null hypothesis (H0) is that the average number of classes per quarter for students is 2 or less. The alternative hypothesis (Ha) is that the average number of classes per quarter for students is greater than 2. We can express this as:

H0: μ ≤ 2 (mean number of classes per quarter)

Ha: μ > 2

Where μ represents the population mean. This hypothesis is based on the instructor's belief that students take more than 2 classes on average.

The significance level (alpha) is given as 0.01, which means that if the p-value of the test is less than 0.01, we would reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

y = - 5x

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = - 10 when x = 2 , then

- 10 = 2k ( divide both sides by 2 )

- 5 = k

y = - 5x ← equation of variation

Answer: 10 Slices

Step-by-step explanation:

10 slices of cheese is about $0.24 a slice.

12 Slices of cheese is about $0.26 a slice.

So 10 slices is the better deal.

The sum of the two Santa models is 24.

Given is math is a bit different at the north pole and a problem is shown in the image.

We can assume the three variables as : [x], [y] and [z]. So, we can write the equations as -

3x = 21                  ........ Eq[1]

y + z = 16              ........ Eq[2]

x + y - z = - 1          ........ Eq[3]

Now, it is given that -

3x = 21

x = 21/3

x = 7

and

y + z = 16

y = 16 - z

So, we can write the equation as -

x + y - z = - 1

7 + 16 - z - z = - 1

23 - 2z = - 1

2z = 24

z = 12

So, we can write -

[z] + [z] = 12 + 12 = 24

Therefore, the sum of the two Santa models is 24.

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Answer:

(3,1)

Step-by-step explanation:

Answer:

If csc = 29/21, then the reciprocal of this is equal to the sine of the angle. So,

sin = 21/29.

Since cosine is less than 0, then the angle must be in the second or third quadrant, which means that the sine of the angle must be positive. So,

sin = 21/29, and cos = -√(1 - sin^2) = -√(1 - (21/29)^2)

Next, we can find the tangent by taking the ratio of sine to cosine:

tan = sin / cos = 21/29 / -√(1 - (21/29)^2) = -21/√(841 - 441)

Finally, we can find the cotangent by taking the reciprocal of the tangent:

cot = 1 / tan = -√(841 - 441) / 21

So, the remaining trigonometric functions are:

sin = 21/29

cos = -√(1 - (21/29)^2)

tan = -21/√(841 - 441)

cot = -√(841 - 441) / 21

The value of angle 1 , angle 2 and angle 3 are 60°, 30° and 60° respectively

A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.

An hexagon is a six sided polygon. This means that;

The sum of angle in an hexagon = (6-2)180 = 180× 4 = 720

Therefore each angle in the hexagon = 720/6 = 120°

The angles are equally bisected

therefore, angle 3 = 120/2 = 60°

angle 1 = 180-(60+60)

= 180-120 = 60°

angle 2 = 180-(90+60)

= 180-150

= 30°

therefore the value of angle 1 , angle 2 and angle 3 are 60°, 30° and 60° respectively

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Answer: (a) Refer to picture attached

(b) Probability that randomly selected student in class 1 prefers comedies is 42%

(c) Probability that randomly selected student in class 2 prefers action movies is 29%

Step-by-step explanation: Please refer to the picture attached for the required two-way table.

For the first class, that is class 1, you need to calculate the probability that a randomly selected student prefers comedies. A probability can be expressed as follows;

P(comedies) = Number of required events / Number of possible outcomes

P(comedies) = 13/31

P(comedies) = 0.419354

Therefore the probability that a student selected randomly from Ms Peter's first class prefers comedies is 0.4193 (approximately 0.42) or 42%.

For the second class, that is class 2, you need to calculate the probability that a randomly selected student prefers action movies. The probability thus is expressed as;

P(Action) = Number of required events / Number of possible outcomes

P(Action) = 9/31

P(Action) = 0.290322

Therefore the probability that a student randomly selected from Ms Peter's second class prefers action movies is approximately 0.29 or 29%.

Answer:

The reciprocal of 2 is 1/2

The reciprocal of 6/11 is 11/6

1st and 2nd pictures are for finding area and 3rd picture is for finding perimeter

hope you understood well and if not and you can ask again

360 grms of 6kg

answer,

first convert 6kg into grms.

6kg = 6000grms.

now,

360 grms of 6kg= (360/6000)×100•/•

= 6 •/•

When making a confidence interval for the population mean using the t procedures, the degrees of freedom for the t distribution are n-1. Therefore, the correct option is B.

A confidence interval is a range of values that has a specific degree of confidence in a statistic. It is an interval estimate that is associated with a specific level of reliability or confidence. This range is expressed in the form of an interval or range, and it includes an upper and lower bound. Confidence intervals are calculated using a data point that is unknown, such as the population mean.

The formula for a confidence interval:   X ± (t) (s / √n)

Here, the value of t refers to the t-distribution value that corresponds to the level of significance α/2 and n is the sample size. Degrees of freedom (df) are defined as the sample size minus one, as represented by the formula: n-1

Hence, when making a confidence interval for the population mean using the t procedures, the degrees of freedom for the t distribution are: B) n-1. This is because the degrees of freedom are calculated by subtracting 1 from the sample size (n).

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Answer:

7 Days

Step-by-step explanation:

Miles cost:

$0.10 * 200 = $20

Daily Cost

Her budget at this point is $330 because $350 - $20 (the miles)

$330 / 42.72  = Roughly 7.72

Therefore Zoey can drive for 7 days before her budget runs out.

the number of people who do not watch any of the channels was 80 people.

Given the sets A = {c, a, r, e, t} and B = {a, e, i, o, u}, represent the union set (A U B). To find the union set, just join the elements of the two given sets. We have to be careful to include elements that are repeated in both sets only once.

Knowing that:

To calculate the total number of people who watch at least one of the channels:

\(Total = G + R - (G R)\\Total = 300 + 270 - 150\\Total = 420\)

The total number of people is 500, so:

\(Number of people who do not watch any channel = 500 - 420\\Number of people who do not watch any channel = 80\)

Therefore, there are 80 people who do not watch any of the channels.

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Answer:

it is 27/50 is already in simplist form

Step-by-step explanation:

brainliest plzzzz

Answer:

3.791666 in decimals.

91/24 in fraction form.

Step-by-step explanation:

Hope it helps.

Answer:

sorry I can

Step-by-step explanation:

why wala pa kame jan sorry wait kalang

The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Explanation:

The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).

When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.

In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).

Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).

The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.

The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.

The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.

Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

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Answer:

No

Step-by-step explanation

Drawing quadrilateral ABCD (in picture), I tried to prove that the triangles ABD CDB were congruent, proving that the quadrilateral was a parallelogram, however, with the terms you just described, it is impossible prove that the triangles were congruent as SSA is not a valid congruence postulate. Therefore, ABCD does not have to be a parallelogram.

Answer:

y=1/2x+8

Step-by-step explanation:

The slopes will be the same but the y-intercept will be different. I graphed out which equation will pass through (4,10) and also be parallel to y=1/2x-8.

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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Answer:8.95

Step-by-step explanation:can’t guarentee But that’s what I got

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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The test value for determining linear correlation between age and systolic blood pressure is the correlation coefficient, commonly denoted as "r."

To calculate the correlation coefficient, we need to use a statistical method such as Pearson's correlation coefficient. This coefficient measures the strength and direction of the linear relationship between two variables. In this case, the variables are age and systolic blood pressure.

By applying the formula for Pearson's correlation coefficient, we can find the test value. First, we calculate the mean of both age and systolic blood pressure. The mean age is (38+41+45+48+51+53+57+61+65)/9 = 52.33, and the mean systolic blood pressure is (116+120+123+131+142+145+148+150+152)/9 = 137.89.

Next, we calculate the sum of the products of the deviations from the mean for both age and systolic blood pressure. Using these values, we find the numerator of the correlation coefficient formula. Similarly, we calculate the sum of the squared deviations from the mean for both age and systolic blood pressure, which gives us the denominators for the formula.

Plugging in the values and performing the necessary calculations, we arrive at the correlation coefficient. The value of the correlation coefficient ranges from -1 to 1, where a value close to 1 indicates a strong positive linear relationship, a value close to -1 indicates a strong negative linear relationship, and a value close to 0 indicates a weak or no linear relationship.

Therefore, the test value for determining the linear correlation between age and systolic blood pressure is the correlation coefficient, which quantifies the strength and direction of the linear relationship between the two variables.

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The test statistic for a Z-test is the Z-statistic, which has the standard normal distribution under the null hypothesis

A test statistic shows how closely your data’s distribution fits the distribution anticipated by the statistical test’s null hypothesis. The frequency with which each observation happens is defined by the distribution of data, which may be represented by its central tendency and variance around that central tendency.

Z= (x – y)/(x2/n1 + y2/n2) is the formula for calculating the test statistic when comparing two population means. To compute the statistic, we must first compute the sample means (x and y) and standard deviations (x and y) for each sample independently. In statistics, there are many different types of tests, such as the t-test, Z-test, chi-square test, anova test, binomial test, one sample median test, and so on. If parametric tests are applied,

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the approximate area of the base of the paint can is 53.5 square centimeters.by using Volume formula is Base Area × Height

To find the approximate area of the base of the paint can, we can use the formula for the volume of a cylinder:

Volume = Base Area × Height

We are given the volume (535 cubic centimeters) and the height (10 cm). We need to solve for the Base Area. Rearranging the formula to solve for Base Area, we get:

Base Area = Volume ÷ Height

Now, substitute the given values:

Base Area = 535 cubic centimeters ÷ 10 cm

Base Area ≈ 53.5 square centimeters

So, the approximate area of the base of the paint can is 53.5 square centimeters.

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The approximate area of the base of the can is 53.5 square centimeters

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

Volume = 535 cubic centimeters of paint

Height of container = 10 cm

The area of the base of the can is calculated as

Base area = Volume/Height

Substitute the known values in the above equation, so, we have the following representation

Base area = 535/10

Evaluate

Base area = 53.5

Hence, the base area is 53.5 square centimeters

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