What is 70% of 900
Pls answer quickly

The F-test is used to compare two population variances and determine if they are significantly different from each other. When conducting an F-test, the null hypothesis states that the two population variances are equal, and the alternative hypothesis states that the variances are different.

In the given diagram, the F-statistic is calculated as 1.919 with a p-value of 0.063. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (2) is the correct answer.

The Levene's test is used to determine if the variances of two populations are equal or not. If the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variances are equal. In the given diagram, the Levene's test statistic is calculated as 0.42 with a p-value of 0.74. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (4) is incorrect.

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Answer:

Step-by-step explanation:

(a) Probability that a randomly selected is 9.68%; (b) 29.12% will receive the tax break; (c) Minimum and the maximum starting salaries are 35,679.71 and 4,320.29. (d) 6.3% of the total number of students.

a) P(X>30,400) = P(Z>(30,400-20,000)/8,000)

                          = 1-P(Z<1.3)

                          = 0.0968

                         = 9.68%

b) P(X<15600) = P(Z<(15600-20000)/8000)

                        = 29.12%

c) Maximum of the starting salaries of the middle 95% is

                     (x - 20,000)/8,000 = 1,96

                                                  x  = 35,679.71

Minimum of the starting salaries of the middle 95% is

                      (x - 20,000)/8,000 = -1,96

                                                   x = 4,320.29

d) P(X>32,240) = 1-P(Z<(32,240-20,000)/8,000)

                         = 0.063

Therefore, the 189 represents 6.3% of the total number of students, means that the total number is 3,000.

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To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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Answer:

705 ft.

Step-by-step explanation:

330+225+150= 705 ft.

If you meant into the ocean floor, that is 2.3 feet deep on average. In miles, the drill ended at 0.13352273 miles.

The required answer is a non-decreasing function f, even if it is not necessarily continuous.

To prove that a non-decreasing function f is Riemann integrable on any finite interval, the fact that any bounded non-decreasing function is Riemann integrable.

step-by-step explanation:

1. Start by considering a non-decreasing function f defined on a closed and bounded interval [a, b].
2. Since f is non-decreasing, its values can only increase or remain constant as the input increases.
3. Now, let's define a partition P of the interval [a, b]. A partition is a collection of subintervals that cover the interval [a, b].
4. For each subinterval [x_i, x_(i+1)] in the partition P,  the difference f(x_(i+1)) - f(x_i).
5. Since f is non-decreasing, the difference f(x_(i+1)) - f(x_i) will be non-negative or zero for every subinterval in the partition.
6. Next, we calculate the upper sum U(P,f) and lower sum L(P,f) for the partition P. The upper sum is the sum of the products of the lengths of the subintervals and the supremum of f on each subinterval. The lower sum is the sum of the products of the lengths of the subintervals and the infimum of f on each subinterval.
7. By considering different partitions, we can observe that the upper sums U(P,f) are non-decreasing, and the lower sums L(P,f) are non-increasing.
8. Since f is bounded on the closed and bounded interval [a, b], the upper sums U(P,f) are bounded above, and the lower sums L(P,f) are bounded below.
9. By the completeness property of the real numbers, the sequence of upper sums U(P,f) converges to a limit, denoted by U, and the sequence of lower sums L(P,f) converges to a limit, denoted by L.
10. If U = L, then the function f is Riemann integrable on the interval [a, b], and the common value U = L is called the Riemann integral of f on [a, b].

Therefore, that a non-decreasing function f, even if it is not necessarily continuous, is Riemann integrable on any finite interval.

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The given expression is sec cot csc tan.

To find the simplest form of this expression, let's break down each trigonometric function:

1. sec(theta) is equal to 1/cos(theta).
2. cot(theta) is equal to 1/tan(theta), which is the same as cos(theta)/sin(theta).
3. csc(theta) is equal to 1/sin(theta).
4. tan(theta) is equal to sin(theta)/cos(theta).

Now, substituting these values into the original expression, we get:

sec cot csc tan = (1/cos(theta)) * (cos(theta)/sin(theta)) * (1/sin(theta)) * (sin(theta)/cos(theta))

We can simplify this expression by canceling out common factors. The cos(theta) in the numerator of the second term and the denominator of the fourth term cancel out, as do the sin(theta) in the denominator of the second term and the numerator of the third term.

After canceling out these common factors, we are left with:

sec cot csc tan = 1/sin(theta)

So, the simplest form of the expression sec cot csc tan is 1/sin(theta).

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What is the simplest form of the expression below? cot(theta) cos(theta)/sin(theta)*tan(theta) divided by sin(theta)/cos(theta) tan(theta)

Answer:

it is D.... PERIODT

Step-by-step explanation:

Answer:

The correct answer is - Ben is 8.

Since Ben is 4 times older than Ishaan, but also we know the fact that Ben is 6 years older than Ishaan, that leaves us with only one number as the possible solution, the number 8.

In order to get to the result we should find a number that multiplied by four and summed up with six, gives the same result.

4 x 2 = 8

2 + 6 = 8

Knowing now that the age of Ben is 8, we can also conclude that the number used for multiplying and summing, 2, is the number that represents the age of Ishaan.

Step-by-step explanation:

a. The cost of tuition at the college in 2017 is $15,000.

b. The annual percentage rate at which the tuition grows is 7%.

c. Assuming the same growth rate before and after 2017, the tuition in 2000 was $10,000.

d. The tuition in 2010 was $12,754.

e. The tuition when you graduate from high school will depend on the specific year of graduation and can be calculated using the given function.

a. The cost of tuition in 2017 can be found by substituting x = 0 into the function f(x) = 15. (1.07)*, resulting in f(0) = 15. Therefore, the tuition cost in 2017 is $15,000.

b. The annual percentage rate of tuition growth can be determined from the given function. In the expression (1.07), the coefficient 1 represents 100%, and the exponent 0.07 represents 7%. Therefore, the tuition grows at an annual rate of 7%.

c. To find the tuition in 2000, we need to calculate the number of years from 2000 to 2017 and substitute it into the function. The difference between 2017 and 2000 is 17 years. Substituting x = -17 into the function f(x) = 15. (1.07)* gives f(-17) = 10. Therefore, the tuition in 2000 was $10,000.

d. Similar to the previous calculation, we need to find the number of years from 2010 to 2017 and substitute it into the function. The difference is 7 years, so substituting x = -7 into f(x) = 15. (1.07)* gives f(-7) = 12.754. Thus, the tuition in 2010 was $12,754.

e. To determine the tuition when you graduate from high school, you need to know the specific year of your graduation. You can substitute the number of years since 2017 into the function f(x) = 15. (1.07)* to calculate the corresponding tuition cost.

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The Six Sigma process is a quality management approach that aims to reduce the number of defects in a process by identifying and eliminating the causes of variation. True.

It is a data-driven approach that seeks to improve the quality of products or services by reducing variability and increasing process efficiency.

One of the defining characteristics of the Six Sigma process is that it requires the specification limits to be set at least six standard deviations away from the mean of the process.

This means that the process is designed to produce products or services that are within the specifications with a high degree of certainty, as the chances of the output falling outside of the specification limits are very low.

The Six Sigma approach involves several steps, including defining the problem, measuring the process, analyzing the data, improving the process, and controlling the process.

It is a rigorous approach that requires the involvement of all levels of the organization and relies on statistical tools and techniques to identify and eliminate the causes of variation in the process.

The Six Sigma process has been widely adopted by many organizations in various industries, including manufacturing, healthcare, finance, and services, to improve their processes, reduce defects, and increase customer satisfaction.

It has proven to be an effective approach for improving the quality of products and services, reducing costs, and increasing profitability.

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Answer:

250 dollars per month.

Step-by-step explanation:

We first need to subtract the amount of money her parents are giving her.

12000-3000=9000.

Since she is saving money every month for 3 years we have to multiply 3×12=36 months.

We than need to divide how much money she needs by the amount of months she has to get it.

9000÷36=250

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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Answer:

The third one

Step-by-step explanation:

50 Fifty 3 three . and 20 twenty 3three hundreths

Answer:

hello im sorry im in middle school

Step-by-step explanation:

i cant answere this

Answer:

1. 11

2. 5.65685...~ 5.7

3. 4.2426...~ 4.2

4. .75

Step-by-step explanation:

1.) 11*11=121

2.) 5*5=25, 6*6=36

So the answer is between 5 and 6. It is closer to 6^2 than 5^2. I used a calculator to figure out the exact answer.

3.) 54/3=18, 4^2=16, 5^2=25

It is closer to 4^2 than 5^2. about 2/9 off (between the two answers). 4.242...

4.) 9/16= .5625. √.5625= .75

Hope this helps:) Have a good day!

If your height is 5 feet 3 inches and your weight is 120 pounds, then the BMI is 21.23

To calculate your Body Mass Index (BMI), use the following formula:

BMI = weight in kilograms / (height in meters)²

First, convert your height to meters :

5 feet 3 inches = 63 inches

63 inches = 160.02 cm

160.02 cm = 1.6002 meters

Next, convert your weight to kilograms :

120 pounds = 54.43 kg

Now, plug in these values to calculate your BMI:

BMI = 54.43 kg / (1.6002 meters)²

Divide the terms

BMI = 21.23

Therefore, your BMI is approximately 21.23

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Answer:

abscissa and ordinate

Step-by-step explanation:

The first number of an ordered pair will represent the x-axis value.

What this is called is the abscissa

The second number of an ordered pair will represent the y-axis value

What this is called is the ordinate

Answer: X coordinate

Step-by-step explanation: You have a graph an on the left is the X coordinate and on the right is called the Y coordinate.

Answer:

Step-by-step explanation:

Use integrals to find the area between the curves.

Unbounded area

Using integration by substitution, 7g(9)dx is found to be equal to 65/2. The limits of integration are changed to match those of the original integral.

We can use integration by substitution to solve this problem.

Let u = x - 3, then du/dx = 1 and dx = du.

Substituting these into the integral, we get:

7 g(9)dx = 7 g(u+3)du

Now we need to find the limits of integration in terms of u.

When x = 7, u = 4 and when x = 10, u = 7.

Substituting these limits, we get:

7 g(9)dx = 7∫[4,7] g(u+3)du

Next, we need to change the limits of integration to match the limits of the original integral.

When u = 4, x = 7 and when u = 7, x = 10.

Therefore, we can write:

7 g(9)dx = 7∫[4,7] g(u+3)du = 10∫[1,4] g(x)dx

We know that 10 g(x)dx = 13/4, so we can write:

7 g(9)dx = 10∫[1,4] g(x)dx = 10(13/4) = 65/2

Therefore, 7 g(9)dx = 65/2.

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Answer:

There are 292 sunny days a year in Yucca Manor

Step-by-step explanation:

80 x 365

--------------           =          292

100                                

The probability of getting two red counters is 27.77%, the probability of getting two blue counters is 20.38%, and the probability of getting one of each color is 51.38%.

Given that Tina has two bags of counters, Bag A and Bag B, and there are 5 red counters and 3 blue counters in bag A, while there are 4 red counters and 5 blue counters in bag B, to determine, if Tina takes at random a counter from each bag, the probability of obtaining each counter, the following calculation must be made:

Therefore, the probability of getting two red counters is 27.77%, the probability of getting two blue counters is 20.38%, and the probability of getting one of each color is 51.38%.

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By dividing the angle of rotation by the duration of one rotation, the angular velocity of the Earth around its axis can be determined. The time it takes the Earth to complete one full rotation, which is equivalent to 360 degrees or 2 radians, is roughly 24 hours.

Angle change divided by time change equals angular velocity (v), as follows:

ω = θ / t

We can substitute the following values into the equation since the Earth completes one rotation every 24 hours:2 radians each day equals.

By multiplying by 3600 (the amount of seconds in an hour), we may convert the time from hours to seconds:

2 radians are equal to (24 hours * 3600 seconds/hour)

Condensing the equation:

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Answer:

A. (2,4)

Step-by-step explanation:

The true statement of the right triangle is as follows:

tan 27° = y / x

cos 63° = y / 15

sin 63° = x / 15

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Base on the position of the angles, trigonometric ratios can be used to find the sides of the right triangle as follows:

Therefore,

tan 27 = opposite / adjacent

Hence,

tan 27° = y / x

cos 63 = adjacent  / hypotenuse

cos 63° = y / 15

sin 63 = opposite / hypotenuse

sin 63° = x / 15

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The explicit rule for the sequence using subscript notation is \(a_n=2000\times1.2^{n-1}\) .

It is given that sequence is G.P

In G.P 2nd and 4th is given by

 \(a_2=ar\)      ...(1)      and              \(a_4=ar^3\)  ...(2)

We have given \(a_2=2400 , a_4=3456\)

Putting in equation (1) and (2) , we get

       \(2400=ar\)    ...(3)          and           \(3456=ar^3\)      ...(4)

On dividing equation (3) by equation (4) , we get

        \(\frac{2400}{3456} =\frac{ar}{ar^3} \\\\\\ 0.6944=\frac{1}{r^2}\\\\r^2=1.44 \\r=1.2\)

First term will be given by

       \(a_1=a_2 r^{1-2}\\\\a_1=2400r^{-1}\\\\a_1=\frac{2400}{1.2} \\\\a_1=2000\)

Nth term is given by

\(a_n=a_1r^{n-1}\\a_n=2000\times1.2^{n-1}\)

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Answer:

If real GDP in a particular year is $80 billion and nominal GDP is $240 billion, the GDP price index for that year is: 300.

Step-by-step explanation:

To calculate a 90% confidence interval in RStudio, we would use a z* value of 1.644854, which we can find using the qnorm() function with a confidence level of 0.9.

To calculate a 90% confidence interval, we need to find the critical value (z*) that corresponds to a confidence level of 90%. In RStudio, we can use the qnorm() function to find the z* value.

The qnorm() function takes two arguments: the first argument is the desired confidence level, expressed as a decimal (in this case, 0.9 for a 90% confidence level); the second argument is the mean, which is typically the sample mean in the case of a confidence interval.

To find the value of z* for a 90% confidence interval, we can use the following code in RStudio:

qnorm(0.95)

The output of this code will be 1.644854, which is the value of z* for a 90% confidence interval. We can then use this value to calculate the upper and lower bounds of the confidence interval using the formula:

Upper bound = sample mean + (z* x standard error of the mean)

Lower bound = sample mean - (z* x standard error of the mean)

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Answer:

B. a group of data points around a value

Step-by-step explanation:

A cluster in math is when data is clustered or assembled around one particular value.

Answer:

90?

Step-by-step explanation:

Im not sure how I did this, but i hope it helped!