Explain what is wrong with the statement. If 0 = f (x) = g(x) and g(x) dx diverges then by the comparison test so f(x)dx diverges. x O If 0

Answer: im not really sure but is it 605

Step-by-step explanation:

11•11•15/3

The hawk will catch its prey after 4 minutes, at an altitude of 48 feet.

Let t be the time it takes for the hawk to catch its prey.

During this time, the prey will have traveled a distance of 12t, since it moves at a rate of 12 feet per minute.

The hawk descends at a rate of 18 feet per minute, so during this same time, it will have descended a distance of 18t.

The altitude of the hawk after descending for time t is therefore 120 - 18t.

For the hawk to catch its prey, it must descend to the same altitude as the prey, so we set 120 - 18t = 12t and solve for t:

120 - 18t = 12t

120 = 30t

t = 4

So it takes the hawk 4 minutes to catch its prey.

To find the altitude at which they meet, we can substitute t = 4 into either of the expressions we found for altitude. Using 120 - 18t, we get:

altitude = 120 - 18t = 120 - 18(4) = 48

Therefore, the hawk will catch its prey after 4 minutes, at an altitude of 48 feet.

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Answer:

Step-by-step explanation:

Given the profit function P(x) = -6x² +288x -3162, you want to find the value of x and the value of P(x) corresponding to maximum profit.

The vertex of the parabola described by ax²+bx+c lies on the line of symmetry:

  x = -b/(2a)

This will be the value of x that is a maximum when a < 0.

The value of the function at that point can be found by evaluating the quadratic expression for the value of x just found.

Maximum profit is had when ...

  x = -(288)/(2(-6)) = 24

That maximum profit is ...

  P(24) = (-6(24) +288)(24) -3162 = 144(24) -3162 = 294

For maximum profit, 24 tables should be made per day. The maximum profit is $294 per day.

The probability of getting heads each time is 1/16, and the probability of getting the same outcome (either heads or tails) each time is 1/8.

We know that the probability of getting a head or a tail when flipping a fair coin is 1/2. Let us use this fact to answer the given questions. The probability it will land the same way each time:

The probability of getting heads each time is (1/2) × (1/2) × (1/2) × (1/2) = 1/16.

The probability of getting tails each time is also 1/16.

Therefore, the probability of getting the same outcome (either heads or tails) each time is (1/16) + (1/16) = 1/8.

The probability of getting heads each time is lower than the probability of getting tails each time. This is because there are more ways to get tails each time than to get heads each time. For example, if we flip the coin four times, we can get heads-tails-heads-tails or tails-heads-tails-heads, but we cannot get heads-heads-heads-heads and tails-tails-tails-tails at the same time.

Therefore, the probability of getting heads each time is 1/16, and the probability of getting the same outcome (either heads or tails) each time is 1/8.

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Answer:

\(18 + \sqrt[12]{2} \)

= 34.97056

Answer:

steps below

Step-by-step explanation:

5th level of Pascal triangle: 1,5,10,10,5,1

(1+2x)⁵ = 1*1⁵*(2x)⁰+5*1⁴*2x+10*1³*(2x)²+10*1²*(2x)³+5*1¹(2x)⁴+1*1⁰*(2x)⁵

           = 1 + 10x + 40x² + 80x³ + 80x⁴ + 32x⁵   .. (1)

(1-2x)⁵ =  1  - 10x + 40x² - 80x³  + 80x⁴ - 32x⁵  .. (2)

(1)+(2): (1+2x)⁵ + (1-2x)⁵ = 160x⁴ + 80x² +2

a + bx + cx ?? suppose it's ax⁴ + bx² + cx, if you have other set up.. adjust by yourself

a = 160,    b = 80,    c = 2

The one crate will indeed be enough to ship the 25,000 boxes with dimensions 10 cm x 10 cm x 20 cm.

The volume of a box is obtained by multiplying three measurements: length, width and height. The three measurements must be expressed in the same unit of measurement, whether in millimeters, centimeters or meters.

Knowing that the volume of the box is:

Length x Width x Height = 10 cm x 10 cm x 20 cm = 2000 cm³

So calculate the total volume :

Total volume = Volume of one box x Number of boxes = 2000 cm³ x 25,000 = 50,000,000 cm³

Calculate the volume of the shipping crate:

Length x Width x Height = 3 m x 3 m x 7 m = 63 m³

Converting the volume of the shipping in m to cm:

63 m³ x 1,000,000 cm³/m³ = 63,000,000 cm³

Therefore, one crate will indeed be enough to ship the 25,000 boxes with dimensions 10 cm x 10 cm x 20 cm.

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The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Travis ate 1/12 of the whole cake the next day

A fraction represents a part of a whole. In this case, the whole cake represents the whole, and the part that was eaten represents the fraction. When we say that 3/4 of the cake was eaten, it means that out of the whole cake, 3/4 or three-fourths of the cake was consumed.

Travis ate 1/3 of the remaining cake the next day.

This means that after 3/4 of the cake was eaten, there was 1/4 of the cake remaining. Travis ate 1/3 of that remaining 1/4 of the cake, which can be written as

=> 1/3 x 1/4.

To simplify this fraction, we multiply the numerators (1 x 1) and the denominators (3 x 4), giving us 1/12.

We can write this fraction as a percentage, which is 8.33%. To summarize, fractions are used to represent parts of a whole, and in this case, Travis ate 1/12 or 8.33% of the whole cake the next day.

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Answer: (2) Square root of 90

Step-by-step explanation:

After you rotate it counterclockwise around the origin by 90 degrees, the point would be (-2,7). Since you translate it down by 2, it would then be (-2,5). The points (-2,5) and the original point (7,2) would form the hypotenuse of a right triangle and you can use the Pythagorean Theorem to find the length of the hypotenuse. The length is 9 units, the height is 3 units.

\(3^2+9^2=c^2\\ 9+81=c^2\\ 90=c^2\\ \sqrt{90}=c\)

Answer:

SAS

Step-by-step explanation:

If the value of the euro was $1.30 last week and during last week the euro depreciated by 5 percent, the value of the euro today is $1.235.

If the euro was worth $1.30 last week and depreciated by 5%, we can calculate the new value by multiplying the original value by (1 - depreciation rate).

Mathematically, the new value of the euro can be calculated as follows:

New Value = Original Value * (1 - Depreciation Rate)

New Value = $1.30 * (1 - 0.05)

New Value = $1.30 * 0.95

New Value = $1.235

Therefore, the value of the euro today is $1.235.

Depreciation is a term used to describe the decline in the value of a currency relative to another currency or to a basket of currencies. It can occur due to various reasons, such as changes in interest rates, inflation rates, political instability, or economic growth.

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Answer:

1<2<3<4<14<22<30<38<co

Step-by-step explanation:

The ability of the normal distribution to approximate the binomial distribution under appropriate conditions justifies the use of the normal distribution for the sampling distribution of the proportion.

A sampling distribution is a statistical probability distribution derived from a larger number of samples gathered from a certain population. The sampling distribution of a particular population is the distribution of frequencies of a range of possible outcomes for a population statistic.

A population is the whole pool from which a statistical sample is selected in statistics. A population can be defined as a large group of people, things, events, medical visits, or measures. A population can thus be defined as an aggregate observation of persons linked by a common trait.

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Answer:

No. of children Frequency

0. 5

1. 7

2. 11

3. 5

4. 6

5 3

6 3

The percentage chart for - Male: Yes (30) | No (50)
- Female: Yes (6) | No (6) is :
- Male: Yes (32.61%) | No (54.35%)
- Female: Yes (6.52%) | No (6.52%)

To convert the data into percentages and construct charts, follow these steps:

Step 1: Calculate the total number of respondents.
Total respondents = 92 (30 males liked + 50 males disliked + 6 females liked + 6 females disliked)

Step 2: Calculate the percentages for each category.
- Males who liked the product: (30/92) * 100 = 32.61%
- Males who disliked the product: (50/92) * 100 = 54.35%
- Females who liked the product: (6/92) * 100 = 6.52%
- Females who disliked the product: (6/92) * 100 = 6.52%

Step 3: Construct a count chart and a percentage chart.
Count chart:
- Male: Yes (30) | No (50)
- Female: Yes (6) | No (6)

Percentage chart:
- Male: Yes (32.61%) | No (54.35%)
- Female: Yes (6.52%) | No (6.52%)

Step 4: Discuss what each chart conveys visually and how they may lead to different interpretations of the data.
The count chart visually shows the raw number of respondents in each category, which may give a sense of the overall sample distribution. However, it may not provide clear insights into the relative proportions of each group.

On the other hand, the percentage chart provides a clearer picture of the proportion of respondents in each category, allowing for easier comparisons. For example, it's evident that a higher percentage of males disliked the product compared to those who liked it, while the female respondents were evenly split in their opinions.

In summary, the count chart may be helpful for understanding the distribution of raw data, while the percentage chart is better for comparing proportions and identifying trends in the data.

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Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position

We know that r × t = d

r = rate of speed

t = time

d = distance

For the motor boat

9 × t = d = rate × time

For the tour boat

27 × (t - 2) = d = rate × time

When they both cover the same distance in the same amount of time, they will eventually cross paths.

They both cover the same d-mile distance, so:

9 ×t = 27 × (t - 2)

Simplify to get:

9 × t = 27 × t - 54

18 t = 54

t = 3

The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.

The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

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The probability P(Z < -1.06) is approximately 0.142. The probability P(Z > 2.386) is about 0.008. The probability P(-0.777 < Z < 0.777) is approximately 0.456.

The probability P(X < 9.8) ≈ 0.211. The probability P(X > 10.2) =  = 0.212. The probability P(X < 9.8 or X > 10.2) = 0.423.

To locate the distribution of X and the indicated possibilities for the given instances, we need to use the residences of the everyday distribution. Given that the populace has a median (μ) of 10 and a widespread deviation (σ) of 2.5, we will continue as follows:

a. N = 7, P(X < 9):

For a pattern size of seven, the distribution of X follows a normal distribution with the equal mean (10) however a trendy deviation of σ/sqrt(n) = 2.5/\(\sqrt{7}\) ≈ 0.944.

To discover P(X < nine), we need to standardize the cost of 9 with the use of the Z-rating formula: Z = (X - μ) / σ.

Substituting the values, we get Z = (9 - 10) / 0.944 ≈ -1.06.

Using a standard regular distribution table or calculator, we are able to locate that the chance P(Z < -1.06) is approximately 0.142.

B. N = 12, P(X > 11.5):

For a sample length of 12, the distribution of X follows a regular distribution with the same suggestion (10) but a well-known deviation of σ/\(\sqrt{n}\) = 2.5/\(\sqrt{12}\) ≈ 0.7217.

To discover P(X > 11.5), we standardize the value of 11.5 for the usage of the Z-rating method: Z = (X - μ) / σ.

Substituting the values, we get Z = (11.5 - 10) / 0.7217 ≈ 2.386.

Using a trendy everyday distribution table or calculator, we will locate that the chance P(Z > 2.386) is about 0.008.

C. N = 15, P(9.5 < X < 10.25):

For a sample size of 15, the distribution of X follows a normal distribution with identical implies (10) however a popular deviation of σ/sqrt(n) = 2.5/\(\sqrt{15}\)≈ 0.6455.

To discover P(9.5 < X < 10.25), we need to standardize the values using the Z-score components.

Z1 = (9.5 - 10) / 0.6455 ≈ -0.777, and Z2 = (10.25 - 10) / 0.6455 ≈ 0.777.

Using a widespread ordinary distribution desk or calculator, we can locate that P(-0.777 < Z < 0.777) is approximately 0.456.

D. N = 100, P(X < 9.8 or X > 10.2):

For a sample size of 100, the distribution of X follows a regular distribution with the equal implies (10) however a general deviation of σ/sqrt(n) = 2.5/\(\sqrt{100}\) = 0.25.

To find P(X < 9.8 or X > 10.2), we need to calculate the probabilities for each person's case and subtract them from 1.

P(X < 9.8) = P(Z < (9.8 - 10) / 0.25) ≈ P(Z < -0.8) ≈ 0.211.

P(X > 10.2) = P(Z > (10.2 - 10) / 0.25) ≈ P(Z < -0.8) ≈ 1 - P(Z < 0.8) ≈ 1 - 0.788 = 0.212.

Therefore, P(X < 9.8 or X > 10.2) ≈ P(X < 9.8) + P(X > 10.2) ≈ 0.211 + 0.212 = 0.423.

Remember to consult a trendy everyday distribution desk or use a calculator to locate the possibilities associated with the Z-scores.

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Answer:  equation is   y = √3x + 4

To find the equation of the tangent line to the astroid at the given point, we need to find the slope of the tangent line and then use the point-slope form of a line.

First, let's differentiate the equation of the astroid with respect to x to find the derivative dy/dx:

(x^(2))^(1/3) (y^(2))^(1/3) = 4

Taking the derivative of both sides with respect to x:

(1/3)(x^(2))^(-2/3) (2x) (y^(2))^(1/3) + (x^(2))^(1/3) (1/3)(y^(2))^(-2/3) (2y) dy/dx = 0

Simplifying:

(2/3) (x^(2))^(-2/3) (xy^(2))^(1/3) + (2/3) (x^(2))^(1/3) (y^(2))^(-2/3) (dy/dx) = 0

Now we can substitute the x and y coordinates of the given point (-3√3, 1) into the derivative equation to find the slope:

(2/3) ((-3√3)^(2))^(-2/3) ((-3√3)(1^(2)))^(1/3) + (2/3) ((-3√3)^(2))^(1/3) (1^(2))^(-2/3) (dy/dx) = 0

Simplifying further:

(2/3) (9√3)^(-2/3) (-3√3)(1)^(1/3) + (2/3) (9√3)^(1/3) (dy/dx) = 0

(2/3) (1/(9√3)^(2/3) (-3√3) + (2/3) (9√3)^(1/3) (dy/dx) = 0

(2/3) (1/(9√3)^(2/3) (-3√3) + (2/3) (9√3)^(1/3) (dy/dx) = 0

(2/3) (-3√3/(9√3)) + (2/3) (9√3)^(1/3) (dy/dx) = 0

-2/9 + (2/3) (9√3)^(1/3) (dy/dx) = 0

Now, solve for dy/dx:

(2/3) (9√3)^(1/3) (dy/dx) = 2/9

(dy/dx) = (2/9) / [(2/3) (9√3)^(1/3)]

(dy/dx) = 1 / (√3)

Now that we have the slope, we can use the point-slope form of a line to find the equation of the tangent line. The point-slope form is given by:

y - y₁ = m(x - x₁)

Substituting the values of the given point (-3√3, 1) and the slope (√3) into the equation, we get:

y - 1 = (√3)(x + 3√3)

Simplifying:

y - 1 = √3x + 3

y = √3x + 4

Therefore, the equation of the tangent

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Answer: C. 0.8p

Step-by-step explanation:

Since Darien is discounting the prices by 20%, the new price will be 80% of the original price, or 0.8 times the original price

Answer:

hey buddy

do u rember me its me manisha

The probability of guessing exactly 3 correct responses on a test consisting of 30 questions is approximately 0.0785 or 7.85%.

To find the probability of guessing exactly 3 correct responses on a test with 30 questions, we'll use the binomial probability formula. The terms you mentioned are:

- Probability (P) of guessing correctly = 1/5 (since there are 5 multiple choice options and only one is correct)
- Probability (Q) of guessing incorrectly = 4/5 (since 4 out of 5 options are incorrect)
- Number of questions (n) = 30
- Number of correct guesses (k) = 3

Now, we apply the binomial probability formula:

P(X=k) = C(n, k) * P^k * Q^(n-k)

P(X=3) = C(30, 3) * (1/5)³ * (4/5)²⁷

C(30, 3) represents the number of combinations of 30 questions taken 3 at a time:

C(30, 3) = 30! / (3! * (30-3)!) = 4,060

Plug the numbers back into the formula:

P(X=3) = 4,060 * (1/5)³ * (4/5)²⁷ ≈ 0.0785

The probability of guessing exactly 3 correct responses on the test is approximately 0.0785 or 7.85%.

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A z-score of z = 2.00 indicates a position in a distribution that is located two standard deviation above the mean.

In statistics, a z-score represents the number of standard deviations an observation or data point is away from the mean of a distribution. It is a measure of how far a particular value deviates from the average value in terms of standard deviation units.

A z-score of 2.00 indicates that the observation is two standard deviations above the mean. This means that the value is relatively high compared to the average value in the distribution. It suggests that the observation is relatively rare or extreme, as it is located in the upper tail of the distribution.

To better understand the position of the z-score in the distribution, we can refer to the standard normal distribution, also known as the Z-distribution. In the standard normal distribution, the mean is 0 and the standard deviation is 1. A z-score of 2.00 corresponds to a point that is two standard deviations above the mean.

The standard normal distribution is symmetric, bell-shaped, and follows a specific pattern. Approximately 95% of the data falls within two standard deviations from the mean in a normal distribution. Therefore, if the data follows a normal distribution, a z-score of 2.00 indicates that the observation is in the top 2.5% of the distribution.

In practical terms, if we have a dataset with a known mean and standard deviation, and we find a data point with a z-score of 2.00, it suggests that the value is relatively high compared to the average and is considered statistically significant or unusual.

It's important to note that the interpretation of a z-score may vary depending on the specific context and the characteristics of the dataset. Additionally, z-scores are useful for comparing observations across different distributions or standardizing data to a common scale.

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Answer:

\(5x+40=2\)

Step-by-step explanation:

Using the distributive property:

\(5(x+8)=2\)

\((5*x) + (5*8)\)

\(5x+40=2\)

Answer:

5x + 40 = 2

Step-by-step explanation:

5(x + 8) = 2

5x + 40 = 2

5x = -38

x = -7.6

Best of Luck!

Answer:

29

Step-by-step explanation:3(2x1+3)-4(1-3)+3x2

Answer: 40º

Step-by-step explanation:

To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.

The trigonometric function that relates opposite and adjacent sides is tangent.

\(tan=\frac{opposite}{adjacent}\)

\(tan=\frac{21}{25}\)

\(tan^-^1=40\)

Answer:

D

Step-by-step explanation:

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option B is correct. To give a margin of error within in estimating a population proportion with 99% confidence, the formula for calculating sample size is:n = (z² * p * q) / E²

Where:n = Sample sizeZ = Confidence intervalP = Estimated proportionQ = (1 - P)E = Margin of errorAs we have to calculate the sample size, we rearrange the above formula and get:n = (z² * p * q) / E²Given: E = 0.01, Z = 2.576 (for 99% confidence interval)

Now, we need to estimate the proportion of the population (p). If we don't have any estimates or data, we can assume 0.5 for p, which gives the maximum sample size. Therefore:p = 0.5q = 1 - p = 1 - 0.5 = 0.5n = (z² * p * q) / E²n = (2.576² * 0.5 * 0.5) / 0.01²n = 663.85Rounding the value up to the nearest integer, the sample size needed to give a margin of error within in estimating a population proportion with 99% confidence is 664.Hence, option B is correct.

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