An undergraduate psychology course only gives the grades of A, B, C, or F. The department has determined that there should be 20% A's given, 30% B's given, 40% C's, and 10% F's given as final grades for the course. For the spring 2021 semester, 400 students took the course and 100 students received A's, 100 students received B's, 150 students received C's and 50 students received F's, so those are my observed frequencies. We want to do a Chi-square Multinomial Goodness of Fit test to see if our grading guidelines match up with what is actually happening. What is the expected frequency for the grade of C category? Round your answer to the tenths position.

The values of the sequence defined by the formula aₙ = crⁿ⁻¹ - d are c = 7, r = 2, and d = 7.

A sequence is defined as an arrangement of numbers in a particular order.

Given aₙ = crⁿ⁻¹ - d, then;

c - d = 0...(1)

cr - d = 7...(2)

cr² - d = 21...(3)

from equal (1), c = d so that equation (2) becomes;

cr - c = 7 and;

c = 7/(r - 1)...(4)

put 7/(r - 1) for c and d in equation (3);

7/(r - 1)(r²) - 7/(r - 1) = 21

7r² - 7 = 21(r - 1)

7r² - 21r + 14 = 0

r² - 3r + 2 = 0

by factorization;

r = 1 or r = 2

denominator in equation (4) will be zero if r = 1, so we put 2 for r in equation (4) to get c;

c = 7/(2- 1)

c = 7.

Therefore, values of the sequence defined by the formula aₙ = crⁿ⁻¹ - d are c = 7, r = 2, and d = 7.

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Answer:

A. 24cm and 26cm

Step-by-step explanation:

Pythagorean theorem.
A^2+B^2=C^2

10^2+24^2=26^2

The other options plugged into this formula would make a false statement.

There are 64 boards in the stack.

To find the number of boards in the stack, we need to divide the total height of the stack by the thickness of each board.

Since each board is 3/8 of an inch thick, we can write:

Number of boards = Total height of stack ÷ Thickness of each board

Number of boards = 24 inches ÷ (3/8) inches

Number of boards = 24 inches × (8/3)

Number of boards = 64

Therefore, there are 64 boards in the stack.

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Given:

The given circle graph shows the number of hours a college student spends studying each subject.

To find:

Which subject gets 30% of the students study time?

Solution:

From the given circle graph, we get study time of following subjects:

Art = 10 hr

P.E. = 6 hr

History = 13 hr

English = 5 hr

Math = 9 hr

Total study time is:

\(10+6+13+5+9=43\ hr\)

30% of 43 hr is:

\(43\times \dfrac{30}{100}=12.9\)

\(43\times \dfrac{30}{100}\approx 13 \hr\)

It means 30% of 43 hr is about 13 hr.

Since study time of History is 13 hr, therefore History gets 30% of the students study time.

Hence, the correct option is C.

A cargo ship left port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling station along a path described by a vector with components 〈14, 23〉. The characteristics of the vector representing the path of the ship are "components: 〈7, 11.5〉, magnitude: 13.46".

After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station. The distance between A and the fueling station is x units.

Then, the distance between B and the fueling station is 2x units.AB = 2x units. The fueling station is located at 〈14, 23〉. And A is located at (0, 0)Now we can calculate the distance between A and the fueling station using the distance formula.= √[(14 - 0)² + (23 - 0)²]= √(196 + 529)= √725= 26.92 approx.

After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station. The distance between A and the fueling station is 26.92 units. Then, the distance between B and the fueling station is 2 × 26.92 = 53.85 units.

Now we can calculate the vector AB using the below formula: AB = OB - OAwhere, OA = (0, 0)OB = (7, 11.5)

So, AB = OB - OA= (7, 11.5) - (0, 0)= (7, 11.5)

Magnitude of vector AB = √(7² + 11.5²)= √(49 + 132.25)= √181.25= 13.46 approx.

So, the correct answer is "components: 〈7, 11.5〉, magnitude: 13.46".

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Answer:

60 degrees

Explanation:

Given three adjacent and congruent angles that form a line as illustrated in the diagram below:

Let each of the angles = x

The sum of angles on a line = 180 degrees.

Therefore:

Each of the angles measures 60 degrees.

We were given that:

At equilibrium, we have:

Belgium and Great Britain both experienced industrialization, which led to significant economic and social changes. However, a notable difference between the two is the timing and pace of their industrialization processes.

Both Belgium and Great Britain underwent industrialization during the 19th century, transitioning from predominantly agrarian societies to industrial economies. This transformation involved the mechanization of production, the growth of factories, and the emergence of new industries. Both countries experienced a shift from rural to urban areas, an increase in population, and the rise of a working class. One significant difference between Belgium and Great Britain's industrialization was the timing and pace of their processes. Great Britain is widely regarded as the birthplace of the Industrial Revolution, with industrialization taking off in the late 18th century. The country quickly became a global leader in industrial production and innovation. On the other hand, Belgium's industrialization occurred slightly later, gaining momentum in the mid-19th century. Despite the time lag, Belgium experienced a rapid industrialization process, fueled by factors such as its geographical location, availability of natural resources, and strong transportation network. While both countries saw the development of similar industries like textiles, iron, and coal mining, Great Britain's industrialization had a more profound and widespread impact on a global scale due to its early start and technological advancements. However, Belgium's industrialization played a crucial role in transforming the country into an industrial powerhouse within Europe. In summary, Belgium and Great Britain shared similarities in terms of experiencing industrialization and its associated changes. However, the notable difference lies in the timing and pace of their industrialization processes, with Great Britain leading the way in the Industrial Revolution and Belgium following suit with a slightly delayed but rapid industrialization period.

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Answer:

There are 8 legs for every 4 ears.

There are 2 legs for every 1 ear.

Step-by-step explanation:

The pig and the mouse have a total of 4 ears.

We can count to see that there are 8 legs for every 4 ears.

We want to find a ratio of legs to ears that is equivalent to 8:4

Answer:

D. If you go through all the equations they all come out true beside this one. With this one Alisha pays $1,480 which is less than $1,500

Answer:

y-11=-2(x+1) and 2x+5y=10

Step-by-step explanation:

Without specific data on the number of students who prefer each option, we cannot calculate the probability.

To determine the probability that a student prefers the zoo or the water park, we need to know the total number of students and the number of students who prefer each option. Without this information, it is not possible to calculate the probability accurately.

To calculate the probability, we would need to divide the number of students who prefer the zoo or the water park by the total number of students. For example, if there are 50 students in total and 30 prefer the zoo and 20 prefer the water park, the probability would be:

P(prefer zoo or water park) = (30 + 20) / 50 = 50 / 50 = 1

However, without specific data on the number of students who prefer each option, we cannot calculate the probability.

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The shaded area is 0.0808, the area between z = -0.34 and z = 1.3 is approximately 0.9032 - 0.3665 = 0.5367.

Draw a standard normal curve and shade the area indicated. Then find the area of the shaded region. For this problem, we need to shade the area to the left of z = -1.4 on a standard normal curve.

Using a standard normal table, we can find that the area to the left of z = -1.4 is approximately 0.0808. Therefore, the shaded area is 0.0808. Draw a standard normal curve and shade the area indicated. Then find the area of the shaded region.

To solve this problem, we need to shade the area between z = -0.34 and z = 1.3 on a standard normal curve. Using a standard normal table, we can find that the area to the left of z = -0.34 is approximately 0.3665, and the area to the left of z = 1.3 is approximately 0.9032. Therefore, the area between z = -0.34 and z = 1.3 is approximately 0.9032 - 0.3665 = 0.5367.

Find the z-Score such that the area to the right of the z-score is 0.483. To find the z-score that corresponds to an area of 0.483 to the right of it on a standard normal curve, we need to look up the value in a standard normal table.

The area to the left of the z-score will be 1 - 0.483 = 0.517. Looking up this value in the standard normal table, we find that the corresponding z-score is approximately 0.05.

Find the Z-scores that separate the middle 92% of the data from the area in the tails of the standard normal distribution. We need to find the z-scores that correspond to the 4% area in the tails of the standard normal distribution.

Since the standard normal distribution is symmetric, each tail will have an area of 2%. Using a standard normal table, we can find that the z-score that corresponds to an area of 0.02 to the right of it is approximately 2.05. Therefore, the z-scores that separate the middle 92% of the data from the area in the tails are -2.05 and 2.05.

Find the value of Z0.20. It is not clear what is meant by "Z0.20". If this is meant to represent the z-score that corresponds to an area of 0.20 to the right of it on a standard normal curve, we can proceed as follows.

The area to the left of the z-score will be 1 - 0.20 = 0.80. Looking up this value in a standard normal table, we find that the corresponding z-score is approximately 0.84.

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Answer:

my answer would be

Step-by-step explanation:

(6, -2)       is this what you are looking for?

Answer:

subtract 6 from both sides

I got it right so it must be right :)

Answer:

The first step would be to subtract 6 from both sides.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

$323

Step-by-step explanation:

70% of 190 is 133

133 + 190 = 323

The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.

The z score formula is given by;`z = (x - μ) / σ`

Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.

The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`

The value of z is 1.

To find the area in the right tail, use the standard normal distribution table.

The table value for z = 1.0 is 0.8413.

Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

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Yes, Seeta is right  a  takes puzzle in 3 minutes 45 seconds time

3 x 60 = 180 + 45 = 225 seconds.

Seeta's time. 7 x 60 = 420 + 28 = 448 seconds. Nina's time.

if you times the 448 by 2 it =224.

Yes, Seeta is right.

Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the longer term.

Time is a quantity that is a part of several measurements that are used to compare the length of events or the gaps between them,  to match how long they last, to order events, and to live how quickly things change in the real world or in our conscious experience.  together with the three spatial dimensions, time is usually referred to as a fourth dimension.

Time has long been an important topic of study in philosophy, theology, and science, but scholars haven't been able to define it in a way that is applicable to all of these disciplines without becoming circular. Nevertheless, numerous industries and business domains.

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Step-by-step explanation:

this study is about bullying cases to our school, we all thanks to support and guide us to do this research,

with the help of our group members and the leader to finish this research

b

Answer:

384 dog

Step-by-step explanation:

4*12= 48*8 is 384

Answer:

(3) 5m+ 105 = 180

Step-by-step explanation:

180 - 105 = 5m

The standard form of the given equation  \(x^2+y^2-18x+8y+5=0\) will be given as  \((x-9^2)+(y+4)^2=(2\sqrt{23} )^2\)

The general form of the equation of the circle is given  as

\((x-h)^2+(y-k)^2=r^2\)

We have the equation

\(x^2+y^2-18x+8y+5=0\)

By adding 81 and 16 on both sides

\(x^2-18x+81+y^2+8y+16=-5+81+16\)

\((x-9)^2+(y+4)^2=92\)

\((x-9)^2+(y+4)^2=(2\sqrt{23})^2\)

Thus the standard form of the given equation  \(x^2+y^2-18x+8y+5=0\) will be given as  \((x-9^2)+(y+4)^2=(2\sqrt{23} )^2\)

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Answer:

x-9, y+4, & 92

Step-by-step explanation:

i did it

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer:

75%

Step-by-step explanation:

The answer is 75% because each point/dot, represents 25% of the data.  Below 345 meters are 3 points, therefore 3 * 25% = 75%.

Approximately 75% of the buildings are no taller than 345 meters for the box-and-whisker plot.

A box and whisker plot (also known as a box plot) depicts a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.

The box-and-whisker plot represents the heights (in meters) of the tallest buildings in Chicago.

We can see that all three of the data points that are less than or equal to 345 meters are included in the lower half of the box-and-whisker plot, which represents the range from the minimum to the median height.

This means 3 × 25% = 75%.

So, we can estimate that approximately 50% of the buildings are no taller than 345 meters.

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Answer:

8 of 10 free throws

Step-by-step explanation:

10/15 is .6666667 or about 67%

But 8/10 is .8 or 80%

80% > 60%

Using the law of cosines, it is found that the measure of angle Y is of 64º.

The problem is incomplete, hence we research it on a search engine, and we have that we have a triangle in which:

The law of cosines states that we can find the side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

In which:

For this problem, the parameters are given as follows:

a = 12, b = 17, c = 16, C = Y.

Hence:

c² = a² + b² - 2abcos(Y)

16² = 12² + 17² - 2(12)(17)cos(Y)

408cos(Y) = 177

cos(Y) = 177/408

Y = arccos(177/408)

Y = 64º.

The measure of angle Y is of 64º.

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