If f(x) = x2, and
g(x) = x - 1, then
f(g(x)) = ?

In hypothesis testing, a Type 1 error occurs when we reject a null hypothesis that's actually true. In other words, we conclude that there's a significant effect or difference when there is not one. The probability of making a Type 1 error is denoted by the symbol alpha( α).

A Type 2 error, on the other hand, occurs when we fail to reject a null hypothesis that's actually false. In other words, we conclude that there's no significant effect or difference when there actually is one. The probability of making a Type 2 error is denoted by the symbol beta( β).

In general, Type 1 errors are considered more serious than Type 2 errors because they lead to false positive results and can have negative consequences, similar as making incorrect opinions or wasting coffers. still, the inflexibility of the consequences depends on the specific situation.

The chances of Type 1 and Type 2 errors are related to the significance position( α) and the power( 1- β) of the hypothesis test, independently. The significance position( α) is the probability of making a Type 1 error and is generally set at 0.05 or 0.01. .

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A compound event is any event combining two or more simple events.

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

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

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Answer:

The height of the tree to the nearest foot is 75.

Step-by-step explanation:

The height is opposite the angle of elevation, and the 45 ft distance to the tree is adjacent to it.

tangent = opposite/adjacent

\(\frac{tan(59)}{1} = \frac{h}{45}\)

h = tan(59) * 45

h ≈ 74.89

To the nearest foot, 74.89 is 75 ft.

The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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The multiplicative inverse for √2-i = 1/(√2+1) and  The multiplicative inverse is √2+1 = 1/(√2-1)

Given Data

For√2+i

the real part is  is √2 and the imaginary part is i

The multiplicative inverse is √2+1 = 1/(√2-1)

rationalising the denominator we have

= 1/√2-1 * √2-1/√2-1

= √2-1/(√2-1)*(√2-1)

= √2-1/(2-√2-√2+1)

= √2-1/(-2√2+3)

For√2-i

the real part is  is √2 and the imaginary part is -i

The multiplicative inverse is √2-1 = 1/(√2+1)

Rationalising the denominator we have

= 1/√2+1 * √2+1/√2+1

= √2+1/(√2+1)*(√2+1)

= √2+1/(2+√2+√2+1)

= √2+1/(2√2+3)

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Answer:

85.71 %

Step-by-step explanation:

26-14=12

12/14= 0.8571

0.8571x100= 85.71

Answer:

A change from 14 to 26 represents a positive change (increase) of 85.7142857143%

Step-by-step explanation:

Use the formula:

New - Old / Old x 100%

In other words, new(26) minus old(14) divided by old(14) time 100%

14 is the old value and 26 is the new value. In this case we have a positive change (increase) of 85.7142857143 percent because the new value is greater than the old value.

The true statement is option AB ≅ DE  

Congruent angles are angles that have the same measure or size. In other words, if two angles are congruent, they have the same angle degree measure, and the sides of one angle can be mapped onto the sides of the other angle by a rigid transformation, such as a rotation or a translation.

Here we have

Angle AFB is congruent to angle DFE,

it means that they have the same measure or size.

Therefore, the following must be true:

The angles AFB and DFE have the same degree measure.

The corresponding sides of the angles AFB and DFE are proportional to each other.

The corresponding vertices A and D, B and E, and F and F are collinear and form parallel lines or line segments.

In other words, if two angles are congruent, then they have the same size and shape, and their sides and vertices are proportional and collinear.

Hence,

The true statement is option AB ≅ DE  

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Complete Questioni is given below

To make noodles, you will need flour, water, and a rolling pin.

Noodles are a versatile dish that can be enjoyed in various cuisines. To make noodles, start by combining flour and water in a mixing bowl. Knead the dough until it becomes smooth and elastic. Then, cover the dough and let it rest for about 30 minutes. After resting, divide the dough into small portions and roll each portion into a thin sheet using a rolling pin. Next, fold the sheet into a loose cylinder and cut it into thin strips to form the noodles. Boil a pot of water, add the noodles, and cook them until they become tender. Drain the noodles and rinse them with cold water to stop the cooking process. Finally, the noodles are ready to be used in your favorite noodle dish.

the process of making noodles by experimenting with different flavors, such as adding herbs or spices to the dough. You can also try making different types of noodles, like egg noodles or rice noodles, by substituting different types of flour. The cooking time may vary depending on the thickness of the noodles, so adjust accordingly to achieve the desired texture. Noodles are a versatile ingredient that can be stir-fried, used in soups, or served cold in salads. Get creative with your noodle dishes and enjoy the delicious flavors and textures they offer.

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The manufacturer can take corrective actions to maintain the quality of the dustless chalk and ensure it meets the desired density standards.

It seems part of your message got cut off. However, I can still provide some general information about quality control programs and how they can be used to monitor chalk density.

In quality control programs, the manufacturer uses statistical methods to monitor and ensure the consistency and quality of the products they produce.

One common technique used is Statistical Process Control (SPC). SPC involves taking samples from the production process at regular intervals and analyzing them to identify any variations or abnormalities.

To monitor chalk density, the manufacturer can take 24 different subgroups of chalk samples, each subgroup consisting of "n" samples. The sample standard deviation calculated for each subgroup can be used to estimate the variation in chalk density within each subgroup.

The manufacturer can then use control charts to track the process over time. Control charts display the sample means and control limits, which are calculated based on the sample standard deviations.

By comparing the sample means with the control limits, the manufacturer can identify when the process is out of control or when there are significant variations in chalk density.

If the process goes out of control or if there are consistent deviations in chalk density.

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The second area was translated 1 unit right and 6 units down to form the third exhibit area.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.

Translation is the movement of a point either up, down, left or right.

Given the translation (x,y)→(x+1,y+6). Hence:

The second area was translated 1 unit right and 6 units down to form the third exhibit area.

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Answer:

One-sample t-test on paired data.

Step-by-step explanation:

Here, two different measures or reading were obtained for the two treatment (fluoride vanish) and the control (no fluoride vanish). However, this two measurement were obtained from each of the observations or subjects, hence why it is called one sample t-test on paired data. This would allow the effectiveness of the floiride vanish treatment on each the subjects teeth as we'll have two different data (fluoride vanish treatment) and control treatment on each the subjects employed for the study.

Answer:

\( \frac{20}{24} = \frac{22}{x + 22} \\ 24 \times 22 = 20x + 20 \times 22 \\ 20x = 4 \times 22 \\ x = 88 \div 20 = 4.4\)

a) The expected number of calls in one hour is 60.

b) The probability of three calls in a five-minute period is approximately 0.1404.

c) The probability of no calls in a five-minute period is approximately 0.0067.

a. The expected number of calls in one hour can be calculated by multiplying the rate of calls per minute by the number of minutes in an hour:

Expected number of calls in one hour = 1 call/minute x 60 minutes/hour = 60 calls/hour

Therefore, the expected number of calls in one hour is 60.

b. The number of calls in a five-minute period follows a Poisson distribution with a mean of λ = (1 call/minute) x (5 minutes) = 5. The probability of three calls in a five-minute period can be calculated using the Poisson probability formula:

P(X = 3) = (e^(-λ) * λ^3) / 3!

where X is the number of calls in a five-minute period.

P(X = 3) = (e^(-5) * 5^3) / 3! = 0.1404 (rounded to 4 decimals)

Therefore, the probability of three calls in a five-minute period is approximately 0.1404.

c. The probability of no calls in a five-minute period can also be calculated using the Poisson probability formula with λ = 5:

P(X = 0) = (e^(-λ) * λ^0) / 0! = e^(-5) = 0.0067 (rounded to 4 decimals)

Therefore, the probability of no calls in a five-minute period is approximately 0.0067.

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Answer:

Step-by-step explanation:

x= -b/2a = -64/2(-16) = 2

showing that the object will reach its highest point at 2 seconds

x≥ 0 , everthing to the right of the y-axis

y≥ 0 , everthing above the x-axis

So far you are in quadrant I of the x-y plane

y ≤ 3 , everthing from the above, but also below the horizontal line y = 3

lastly y ≤ -x + 5

sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line

My diagram has a simple trapezoid consisting of a

rectangle with a right-angled triangle attached

now our Objective Function is

C = -5x + 3y , which is a line with slope 5/3

letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.

On my diagram that looks like (5,0)

The central idea of this passage is; - The Grimms' first collection of tales was a cultural study intended for a scholarly audience. Option D

This is further explained below.

Generally,  The Grimm brothers presented an oppressed and frightened young man who was left for dead in the woods by his brothers in their 1812 fairy tale. In exchange for seven years of protection from death, he gladly dons the devil's green cloak and vows never to shave or bathe again.

In conclusion, The most important point that should be taken away from this paragraph is that the Grimms' first collection of fairy tales was a cultural study that was aimed at an academic audience. The  Option D.

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Answer:

D: The Grimms’ first collection of tales was a cultural study intended for a scholarly audience.

If there will be 6 cheese sections that are 3 1/3 inches long and 5 vegetable sections that are 4 3/8 inches long, the length of the giant sandwich is 41.875 inches.

To find the total length of the sandwich, we need to add the lengths of all the cheese and vegetable sections together.

First, we need to convert the mixed number 3 1/3 to an improper fraction:

3 1/3 = (3 x 3 + 1)/3 = 10/3

Similarly, we need to convert 4 3/8 to an improper fraction:

4 3/8 = (4 x 8 + 3)/8 = 35/8

Now we can calculate the total length of the sandwich by multiplying the length of each section by the number of sections and adding them together:

Total length = (6 x 10/3) + (5 x 35/8)

= 20 + 21.875

= 41.875 inches

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Among the options provided, the correct statement regarding multiple regression analysis is: b) Multiple regression analysis establishes a cause and effect relationship.

Multiple regression analysis is a statistical technique used to examine the relationship between a dependent variable and multiple independent variables. It aims to determine the extent to which the independent variables predict or explain the variation in the dependent variable.

However, it is important to note that multiple regression analysis alone cannot establish a cause and effect relationship between variables. While it can identify associations and quantify the strength of relationships, establishing causality typically requires additional evidence from experimental designs or other rigorous methods.

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a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

I think it's 6.9282032302755

The null hypothesis is that the population mean of female "like" ratings of male dates is equal to 6.00, and the alternative hypothesis is that it is less than 6.00. A one-tailed t-test will be used to test the hypothesis.

H0: μ = 6.00

Ha: μ < 6.00

The test statistic is calculated using the formula:

t = (x - μ) / (s / sqrt(n))

Substituting the given values, we get:

t = (5.88 - 6.00) / (2.06 / sqrt(195)) = -1.64

The degrees of freedom are n-1 = 194. Using a t-distribution table, the P-value is found to be 0.051.

Since the P-value (0.051) is greater than the significance level (0.05), we fail to reject the null hypothesis. There is not enough evidence to suggest that the population mean of female "like" ratings of male dates is less than 6.00 at a significance level of 0.05.

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The race result will not be disqualified due to an illegal wind.

In order to determine whether the wind velocity during the race was legal, we need to compare the wind velocity w to the legal wind speed limit of 5 km/hr. In this case, the wind velocity is given as 5ij km/h, which is purely vertical wind. The direction of the wind is not relevant in this case, since the race is run in the direction of the vector v, which is a purely horizontal direction. Since the wind velocity w is purely vertical and the race is run in a purely horizontal direction, the wind velocity w has no effect on the race result. Therefore, the race result will not be disqualified due to an illegal wind.

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Answer:

obviously our breathe is lighter than a feather but the strongest man can't hold for 5 minutes.

Answer:

breathe

Step-by-step explanation:

breathe. air is light but even the strongest man can't hold for 5 minutes

Answer:

3

Step-by-step explanation:

Answer:

50$<x<$100

Step-by-step explanation:

more then 50$ is x>$50

les then $100 is x<$100

x> means x is bigger then...

x< means x is smaller then...

Answer:

Undefined.

Step-by-step explanation:

Slope is the Rise/Run of a straight line.  Run is the change in the value of y for a change in x.  The graph shows all values are possible for y even when there is zero change in x.  All Values/0 = Undefined.