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Answer:

A. 20.5

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc. For example, If the intercepted arc is 11 then the Inscribed angle is 1/2 or 5.5! hope this helps ya!

The probability that all 11 tests will be positive is 0.8007

The probability that at least one test will be negative is 0.1993

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

p = 0.98

n = 11

The probability that all 11 tests will be positive is

P = pⁿ

So, we have

P = 0.98¹¹

Evaluate

P = 0.8007

Here, we use

P = 1 - P(No negative)

So, we have

P = 1 - 0.8007

Evaluate

P = 0.1993

Hence, the probability is 0.1993

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The 90% confidence interval for the mean number of hours a student studies per week is approximately (16.62, 21.38) hours. This means that we can be 90% confident that the true mean falls within this interval.

To construct the confidence interval, we can use the formula:

CI = X ± Z * (σ/√n),

where CI represents the confidence interval, X is the sample mean, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

Given that the sample mean is 19 hours (X, the population standard deviation is 33 hours (σ), and the sample size is 53 (n), we can proceed with calculating the confidence interval.

Using a Z-score corresponding to a 90% confidence level (which is approximately 1.645), the formula becomes:

CI = 19 ± 1.645 * (33/√53).

Calculating the values:

CI = 19 ± 1.645 * (33/√53) ≈ 19 ± 2.88.

Rounding to two decimal places, the 90% confidence interval for the mean number of hours a student studies per week is approximately (16.62, 21.38) hours. This interval suggests that we can be 90% confident that the true mean number of hours falls within this range.

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The function that includes -4 in its range is the first option.

The range of a function is the set of the possible outputs of said function.

Here, the one that has -4 in its range is the first one:

\(y = \sqrt{x} - 5\)

Notice that when evaluating this in x = 1, we get:

\(y = \sqrt{1} - 5 = 1 - 5 = -4\)

So -4 is on the range of this function.

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Answer:

Domain = -6 ≤ x ≤ 6   Range = -1 ≤ y ≤ 3

Step-by-step explanation:

The domain is the interval on the x-axis and the range is the interval on the y-axis.

Answer:  H

Step-by-step explanation:

The rule for a graph to be a function is if there are not 2 points that have the same x.

You can do a vertical line test. If you held up a vertical line(line that goes straight up and down) to both of these curves, across the entire curves(everywhere).  The curves do not hit that vertical line 2 or more times.  

Since both curves pass the vertical line test.  They are both functions.

Answer:

The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

Step-by-step explanation:

have a great day

There are two ways to find the median, depending on what situation it is.

The first, is to simply arrange the number set into proper numerical format (least to greatest), then count from both sides towards the middle to find the median or middle number.

The latter, is when we have a number set that has an equal amount of numbers. For this, we would again, arrange it into proper numerical format, and the count from both sides up. However, there will be two numbers at the middle. So, what we do, is that we have to add them up and then divide by 2 since there are only those two numbers at the middle. Once, the numbers are added up and divided by 2, you will get the resulting median.

Example: Find the median of the data set below.

1,2,3,4,5,6,7,8,9,9

There are 10 numbers in this data set.

It's already been arranged into proper numerical format.

So, all we have to do is, find the two middle numbers and then add them up and divide.

The two numbers at the middle are: 5 and 6.

Add them up.

5 + 6 = 11

Divide by 2.

11/2 = 5.5

Thus, the median of the data set is 5.5

Answer:

rise is 20 and run is 5 so slope is 4.

I think the slope y-intercept is -5

Answer:

10.50$

Step-by-step explanation:

you divide the amount he makes (335$) by the hour (32) and get the hourly $ he makes

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

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"0" was the gift tax in 2018.

Gift taxes are paid by either the giver or the recipient?

A gift tax is not present. There is no gift tax because gifts up to $15,000 are tax-free.

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Answer:

where's the figure??

Step-by-step explanation:

i think this question is incomplete

Answer:

150< x ≤ 250

Step-by-step explanation:

Couldn't be bothered

Answer:

3 : 5, 4: 5

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Therefore, lengths of the legs of right triangle would be 3x and 4x

By Pythagoras Theorem:

\( {hyp}^{2} = {(3x)}^{2} + {(4x)}^{2} \\ = 9 {x}^{2} + 16 {x}^{2} \\ = 25 {x}^{2} \\ hyp = \sqrt{25 {x}^{2} } \\ hyp = 5x \\ \\ ratios \: of each \: leg \: to \: the \: hypotenuse \\ \frac{3x}{5x} = 3 : 5 \\ \\ \frac{4x}{5x} = 4 : 5\)

The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

A numerical expression is characterized as the assortment of numbers factors and works by utilizing operations like expansion, deduction, multiplication, and division.

Considering that;

The expression is,

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

Presently, We can place x and y in the above expression as;

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

⇒ [- 5/(- 2 - 1) ] (- 4) - [-5×-2 + (- 3)]/(- 1)

⇒ [ - 5/ - 3 ] (- 4) - [10 - 3]/(- 1)

⇒ - 20/3 + 7

⇒ 1/3

In this way, The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

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The area under a Normal curve depends on the interval being considered and the parameters of the Normal distribution, such as its mean and standard deviation.

To determine which of the given intervals corresponds to the smallest area under a Normal curve, we need to consider the properties of the Normal distribution. The Normal distribution is a symmetric bell-shaped curve that is completely determined by its mean and standard deviation. The mean, denoted by µ, is the center of the curve, while the standard deviation, denoted by σ, determines the spread of the curve.

Option b) µ to µ + 3σ corresponds to the interval that covers almost all the area under a Normal curve, as about 99.7% of the area lies within three standard deviations of the mean. Therefore, this option cannot correspond to the smallest area under a Normal curve.

Option a) Q1 to Q3 and option d) µ - σ to Q3 both cover more area than option c) Q1 to µ + 2σ. The interval Q1 to Q3 covers the entire middle 50% of the distribution, while the interval µ - σ to Q3 covers at least 50% of the distribution, as almost all the area lies within three standard deviations of the mean. Therefore, option c) Q1 to µ + 2σ corresponds to the smallest area under a Normal curve.

In summary, the interval corresponding to the smallest area under a Normal curve is option c) Q1 to µ + 2σ.

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Answer:

P V = N R T      ideal gas equation

V2 / V1 = T2 / T1       dividing equations

V2 = 397 cm^3 * (220 / 515) = 170 cm^3

The solutions to the equation 2cos(x) - 1 = 0 on the interval [0, 2π) are x = π/3 and x = 5π/3.

To solve the equation 2cos(x) - 1 = 0 on the interval [0, 2π), we will isolate the cosine term and find the values of x that satisfy the equation.

First, let's add 1 to both sides of the equation:

2cos(x) = 1

Next, divide both sides by 2:

cos(x) = 1/2

To determine the solutions in the given interval, we need to find the angles whose cosine is equal to 1/2. One such angle is π/3, which satisfies the equation.

Additionally, the cosine function has a period of 2π, so we can find another solution by adding 2π to π/3, which gives us 5π/3.

Therefore, the solutions to the equation 2cos(x) - 1 = 0 on the interval [0, 2π) are x = π/3 and x = 5π/3.

In summary, we solved the equation 2cos(x) - 1 = 0 by isolating the cosine term and finding the angles whose cosine is equal to 1/2. The solutions in the interval [0, 2π) are x = π/3 and x = 5π/3.

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Answer:

yes

Step-by-step explanation:

28/4 = 7 teams

1 is left without a team

The equation of a circle with center (a, b) and radius r is:

(x - a)^2 + (y - b)^2 = r^2

(x, y) represents any point on the circle

A circle is described as a shape consisting of all points in a plane that are at a given distance from a given point, the center.

The properties of the circle are as follows:

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Using trigonometric identity, cos(A-B) is:

\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

If sin A = 1/3 and A terminates in Quadrant 1. All trigonometric functions in Quadrant 1  are positive

sin A = 1/3 (sine = opposite/hypotenuse)

adjacent = √(3² - 1²)

               = √8 units

cosine = adjacent/hypotenuse. Thus,

\(cos A = \frac{\sqrt{8} }{3}\)

If cos B = 2/3 and B terminates in Quadrant 4.

opposite = √(3² - 2²)

                = √5

In  Quadrant 4, sine is negative. Thus:

\(sin B = \frac{\sqrt{5} }{3}\)

We have:

cos(A-B) = cosA CosB + sinA sinB

\(cos (A-B) = \frac{\sqrt{8} }{3} * \frac{2}{3} + \left \frac{1}{3} * \frac{\sqrt{5} }{3}\)

\(cos (A-B) = \frac{2\sqrt{8} }{9} + \left\frac{\sqrt{5} }{9}\)

\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)

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Answer:

40 correct and 80 incorrect

Step-by-step explanation:

40*4=160

80*2=160

Answer: 40 Correct and 80 Incorrect

Step-by-step explanation: Every answer she gets correct, she can afford to get 2 answer wrong meaning the number of incorrect answers must be twice the amount of correct. 40(4)=160 80(-2)=160 which evens out to zero

Answer:

\(\displaystyle (y + 2) = -\frac{1}{3}\, (x - 9)\).

Equivalently:

\(\displaystyle (y - 2) = -\frac{1}{3}\, (x + 3)\).

Step-by-step explanation:

Let \((x_{1},\, y_{1})\) and \((x_{2}\, y_{2})\) denote the coordinates of two points in the plane. If \(x_{1} \ne x_{2}\) (i.e., the two points aren't on the same vertical line,) the slope of the line that goes through the two points would be:

\(\begin{aligned} m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\end{aligned}\).

In this question, \(x_{1} = 9\) and \(y_{1} = (-2)\) (for \((9,\, -2)\)) while \(x_{2} = (-3)\) and \(y_{2} = 2\) (for \((-3,\, 2)\).) Given that \(x_{1} \ne x_{2}\), the slope of the line that goes through these two points would be:

\(\begin{aligned} m &= \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \\ &= \frac{2 - (-2)}{(-3) - 9} \\ &= -\frac{1}{3}\end{aligned}\)

If a line in a plane is of slope \(m\) and goes through the point \((x_{0},\, y_{0})\), the point-slope equation of this line would be:

\((y - y_{0}) = m\, (x - x_{0})\).

The slope of this line is \(m = (-1/3)\). If the point \((9,\, -2)\) is chosen as \((x_{0},\, y_{0})\) (\(x_{0} = 9\) and \(y_{0} = (-2)\),) then the point-slope equation of this line would be:

\((y - (-2)) = (-1/3)\, (x - 9)\).

Simplify to obtain:

\(\displaystyle (y + 2) = -\frac{1}{3}\, (x - 9)\).

Similarly, if the point \((-3,\, 2)\) is chosen as \((x_{0},\, y_{0})\), the point-slope equation of this would be:

\(\displaystyle (y - 2) = -\frac{1}{3}\, (x + 3)\).

To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

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The 90% confidence interval for the average speed of all the cars passing through the intersection is (41.29, 42.71) miles per hour.

To calculate the confidence interval, we can use the formula:

Confidence interval = Sample mean ± (Critical value * Standard error)

Given that the sample mean is 42 miles per hour and the standard deviation is 4.2 miles per hour, we need to determine the critical value and the standard error.

Since we have a sample size of 85, we can use the t-distribution with (n-1) degrees of freedom to find the critical value. With a 90% confidence level, the corresponding critical value for a two-tailed test is approximately 1.66.

The standard error is calculated as the standard deviation divided by the square root of the sample size:

Standard error = (Standard deviation) / √(Sample size)

Standard error = 4.2 / √85 ≈ 0.456

Now we can plug in the values into the confidence interval formula:

Confidence interval = 42 ± (1.66 * 0.456)

Confidence interval ≈ (41.29, 42.71)

Therefore, the 90% confidence interval for the average speed of all the cars passing through the intersection is (41.29, 42.71) miles per hour.

Based on the given data and calculations, we can conclude that with 90% confidence, the average speed of all the cars passing through the intersection falls within the range of 41.29 to 42.71 miles per hour.

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Sally has a desktop costing less than $1000.

Based on the given ordered pair chart, the individuals who have desktops are:

Michael: (Desktop, 1200)

Harry: (Desktop, 800)

George: (Desktop, 800)

Sally: (Desktop, 700)

Out of these four individuals, only Sally has a desktop costing less than $1000 (specifically $700).

Therefore, one person (Sally) has a desktop costing less than $1000.

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Answer:

JKM AND GHK

Step-by-step explanation:

THE SUM OF THE TWO ANGLES IS 180°

_______________________________

Hey!!

The supplementary angles are <IHK and < IHF

Supplementary angles are those angles which is exactly 180 degree.

Hope it helps..