Describe at least two events where the probability is 0.

Answer: height = 7.96 cm

Step-by-step explanation:

Height = volume / πr^2

h = 100 / π*2^2

h = 7.96 cm

Answer:

6912cm³

Step-by-step explanation:

volume is equal to length multiplied by width multiplied by height so if we multiply the three it will give us a volume of 6912cm³

Answer:

a) 6912 cm³

b) 192 cm³

Explanation:

Volume of rectangular prism = Length × Width × Height

Part A

Here Volume: 32 × 72 × 3 = 6912 cm³

∴ The volume of the chocolate slab is 6912 cm³.

Part B

total volume ÷ total students = 6912 ÷ 36 = 192 cm²

Each student receives 192 cm³ of chocolate.

Answer:

\(percentage = \frac{56}{145} \times 100\)

56/145×100

0.386...×100

38.6%

Answer:

A.2 Hours.

B.2 Inches.

Step-by-step explanation:

Its easy,

A. 8 inches = 4 hours, 4 inches = .... hours

4 inches = 8 ÷ 2

Hours: 4 hours ÷ 2 = 2 hours

B. 8 inches = 4 hours, .... inches = 1 hour

1 hour = 4 ÷ 4

Inches: 8 inches ÷ 4 = 2 inches.

Answer:

270 degrees

Step-by-step explanation:

Description: This lesson will explain that of the 360 degree full rotation of a circle, 3/4 of a rotation is 270 degrees.

To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%

Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%

Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.

The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%

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There are four degrees of freedom for the chi-square goodness-of-fit test in this study. So, correct option is B.

For a chi-square goodness-of-fit test in the context of testing the fairness of a spinner with five sections, the number of degrees of freedom can be determined by subtracting 1 from the number of categories being tested.

In this case, since the spinner has five sections, there are five categories. Therefore, the degrees of freedom for the chi-square goodness-of-fit test would be:

Degrees of freedom = Number of categories - 1

= 5 - 1

= 4

Degrees of freedom represent the number of values in the final calculation of the chi-square test statistic that are free to vary. It determines the critical values and the distribution of the test statistic.

In the case of the chi-square goodness-of-fit test, the test compares the observed frequencies in each category with the expected frequencies under the assumption of fairness. By comparing these frequencies, the test determines if there is a significant deviation from the expected distribution, indicating unfairness in the spinner.

So, correct option is B.

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The percent of cans that weigh 860 grams or less is equal to the area under the normal distribution curve from -∞ to -2, which is 0.0026.

The percent of cans that weigh 860 grams or less is 0.0026. This can be calculated using the formula for the z-score of a particular value, which is given by (x-μ)/σ, where x is the value, μ is the mean, and σ is the standard deviation. In this case, the z-score is (860-1000)/50, which equals -2. Therefore, the percent of cans that weigh 860 grams or less is equal to the area under the normal distribution curve from -∞ to -2, which is 0.0026.

The formula for calculating the percentage of cans with a weight of 860 grams or less is P(X ≤ 860) = P(Z ≤ (860 - 1000)/50) = P(Z ≤ -2.4).

To calculate the percentage, we need to use the standard normal table. According to the table, P(Z ≤ -2.4) = 0.0026. This means that 0.0026 or 0.26% of the cans weigh 860 grams or less.

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To find the constant and thus determine the thermal conductivity of the sample from the experimental data of the temperature difference between the sample and the water bath as a function of time.

We need to plot the temperature difference (delta T) versus time. The functional form of the temperature difference is typically an exponential decay function, as the temperature of the sample approaches the temperature of the water bath.

A plot of temperature difference versus time will show an exponential decay curve. We can fit this curve to a function of the form:

delta T = delta T0 * exp(-kt)

where delta T0 is the initial temperature difference at time t=0, k is the constant we need to find, and t is the time.

By fitting this curve to the experimental data, we can obtain the value of k, which can then be used to calculate the thermal conductivity of the sample, assuming we know the other quantities such as the specific heat of the sample and the dimensions of the sample.

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Answer:

Student A

Step-by-step explanation:

Student a median: 33

Student b median: 32

student a

the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution

Answer:

A

Step-by-step explanation:

I think a cuz b=1 and c=7 and if c and b were negative -1>-7 which is correct

Answer: Yes, because 4 + 5 > 8

Step-by-step explanation: The sum of 4 + 5 must be more than 8 to be a triangle

Answer:

The answer is A) Yes, because 4 + 5 > 8

Step-by-step explanation:

I got it right loves <3

Answer: C

Step-by-step explanation:

Since we are looking at a vertical and horizontal line, we can eliminate B and D. A and C would both be correct, but the most accurate description would be C. x=-2 and y=5 are perpendicular lines. Since one is horizontal and the other is vertical, it makes a perfect 90°.

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

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The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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The solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

To solve the given differential equation y''(t) = 1 - t^17 with the initial condition y(1) = 12, we can integrate the equation twice.

Integrating the equation once will give us y'(t):

y'(t) = ∫(1 - t^17) dt

y'(t) = t - (1/18)t^18 + C₁

Now, we need to apply the initial condition y(1) = 12 to determine the value of the constant C₁:

12 = 1 - (1/18) + C₁

C₁ = 12 + (1/18) - 1

C₁ = 217/18

Next, we integrate y'(t) to find y(t):

y(t) = ∫(t - (1/18)t^18 + 217/18) dt

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + C₂

Finally, we apply the initial condition y(1) = 12 to determine the value of the constant C₂:

12 = (1/2) - (1/342) + (217/18) + C₂

C₂ = 12 - (1/2) + (1/342) - (217/18)

C₂ = (20619 - 1 + 6 - 819)/(342)

C₂ = 19805/342

Therefore, the solution to the differential equation y''(t) = 1 - t^17 with initial condition y(1) = 12 is:

y(t) = (1/2)t^2 - (1/342)t^19 + (217/18)t + (19805/342)

None of the provided options (a, b, c, d) match the correct solution.

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Answer: 3 buses

Step-by-step explanation:

a group of students and teachers are going on a field trip. one ninth of the group will fit on 1/3 of a school bus how many buses are needed to transport the entire group

1/9g = 1/3b

We want to find g, so we multiply each side through by 9

g = 9/3b

Simplify:

g = 3b, so we need 3 buses

The overstatement of ending inventory will result in an understatement of COGS and an overstatement of gross profit for 2018. This, in turn, can impact the accuracy of financial statements and potentially misrepresent the profitability of the company.

If ABC overstates its ending inventory for 2018, it will have a direct impact on the reported amount of cost of goods sold (COGS) for that year.

The COGS is calculated using the following formula:

COGS = Beginning Inventory + Purchases - Ending Inventory

If the ending inventory is overstated, it means that its reported value is higher than the actual value. As a result, the COGS calculation will be affected in two ways:

Overstated Ending Inventory: Since the ending inventory is overstated, the value used in the COGS calculation will be higher than it should be.

This will lead to a lower COGS because the inflated ending inventory value will reduce the amount of inventory that is considered "sold" during the year.

Increased Gross Profit: Since COGS is deducted from net sales to calculate gross profit, a lower COGS due to the overstated ending inventory will result in an increased gross profit. Gross profit is calculated as:

Gross Profit = Net Sales - COGS

Overall, the overstatement of ending inventory will result in an understatement of COGS and an overstatement of gross profit for 2018. This, in turn, can impact the accuracy of financial statements and potentially misrepresent the profitability of the company.

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We need to calculate the z-score and then use a z-table to find the proportion of scores smaller than X = 35 in the normal distribution with a mean (µ) of 40 and a standard deviation (σ) of 10.
The z-score formula is: z = (X - µ) / σ

For X = 35, µ = 40, and σ = 10, the z-score is:
z = (35 - 40) / 10 = -0.5

Now, you need to look up the z-score (-0.5) in a z-table, which gives you the proportion of scores smaller than X = 35. The value associated with a z-score of -0.5 is 0.3085.
So, the correct answer is: a. 0.3085

Now, we can use the standard normal distribution table or a calculator with a normal distribution function. We know that the mean of the distribution is 40 and the standard deviation is 10. We want to find the proportion of scores that are smaller than X = 35.

First, we need to standardize the value of 35 using the formula:

z = (X - µ) / Ï

where X is the value we want to standardize, µ is the mean, and Ï is the standard deviation.

Plugging in the values we have:

z = (35 - 40) / 10 = -0.5

This means that a score of 35 is 0.5 standard deviations below the mean.

Next, we can use the standard normal distribution table or a calculator to find the proportion of scores that are smaller than z = -0.5. Using the table or calculator, we find that this proportion is 0.3085.

Therefore, the answer is (a) 0.3085.

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The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.

First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.

Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.

Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:

1/2 = 3/6

x/6

Now we need to find the value of x that makes the sum of the fractions equal to 19/3:

3/6 + x/6 = 19/3

To solve for x, we can multiply both sides by 6:

3 + x = 38/3

Then, we can subtract 3 from both sides:

x = 29/3

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The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

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Answer:$2.65

Step-by-step explanation: enjoy

Answer:

Step-by-step explanation:

not sure 2

Answer: 0.85 kilograms

Step-by-step explanation:

Tthe given algebraic fraction is simplified as follows:

\(`3x + 9 (x + 2)(x + 4) / 2(x + 2)(x + 4) = 3(x + 3) / (x + 2)`\)

a) Given algebraic fraction is \(`x²+5x+6/3x+9`\).

We can simplify the above given algebraic fraction as follows:

To factorize the numerator, we can find the factors of the numerator.

The factors of 6 that add up to 5 are 2 and 3.

Therefore, \(x² + 5x + 6 = (x + 2)(x + 3)\)

So, the given algebraic fraction is simplified as follows:

\(`x²+5x+6/3x+9= (x + 2)(x + 3) / 3(x + 3) \\= (x + 2) / 3`b)\)

Given algebraic fraction is\(`3x+9 x²+6x+8/2x²+10x+8`.\)

We can simplify the above given algebraic fraction as follows:

To factorize the numerator, we can find the factors of the numerator.

The factors of 8 that add up to 6 are 2 and 4.

Therefore, \(x² + 6x + 8 = (x + 2)(x + 4)\)

So, the given algebraic fraction is simplified as follows:

\(`3x + 9 (x + 2)(x + 4) / 2(x + 2)(x + 4) = 3(x + 3) / (x + 2)`\)

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Answer: 4 breaks

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

64÷16=4 breaks

Hope this helps :>

Poisson distribution is the measure to summarize the information contained in a probability distribution in a single parameter.

Poisson distribution gives the probability of an event occurring a certain number of times (k) within a specified time period.

It is denoted by λ , which is the mean number of events.

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The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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