7-\(7=\frac{w}{4} -10\)

The first option in the second row, Option(C) represents the data.

In order to solve the problem,

First, we need to arrange the numbers in ascending order.

4, 7, 8, 10, 11, 13, 15, 15, 22, 28

Median = 11+13/2

            = 12

From the first range ( 4,7,8,10,11 ) , we can find Q1 also known as first quartile where Q1 = 8 ( middle-most number).

Similarly, from the second range ( 13,15,15,22,28 ) , we can find Q2 also known as third quartile where Q3 = 15 (middle-most number ).

Now, for the box plot,

We need to draw a number line from 0 to 32.

Next, we need to draw a box from Q1 to Q3 with a vertical line through the median.

Next, we put dots above 4 and 28 since our numbers start from 4 and end with 28.

Finally we join the dots and the box plot with a straight line.

Hence, option C is the correct choice.

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The following statements are true or false: a. False b. True c. True.

T-distribution, also known as Student's t-distribution, is a probability distribution that is used in statistical inference for calculating confidence intervals and performing hypothesis tests on small sample sizes. It is similar to the standard normal distribution, but it has heavier tails, which means that it has more probability in the tails and less in the center compared to the normal distribution.

Here,

(a) False. When comparing means of two samples, we need to consider the distribution of the difference in means, which follows a t-distribution rather than a normal distribution. The normal model can be used if the sample sizes are large enough (n1 and n2 both greater than or equal to 30), but this is not the case when n2 is only 40.

(b) True. As the degrees of freedom increase, the T distribution approaches normality. The T distribution becomes closer and closer to the normal distribution as the sample size increases.

(c) True. When the sample sizes of the two groups being compared are equal, we can use a pooled standard error to estimate the standard error of the difference between means. This involves combining the variance estimates from each group into a single estimate of the variance of the population, which allows for a more precise estimate of the standard error of the difference between means.

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7Y=-1X

Step-by-step explanation:

Ya me la pusieron a mi y soy muy bueno en matemáticas

Answer:

x = 1; y = 3

Step-by-step explanation:

Get the unknowns on one side of the equal sign and the known numbers on the other:

EQUATION 1: y = 2x + 1 (subtract 2x from both sides)

y -2x = 1

EQUATION 2: y = 6 -3x (add 3x to both sides)

y + 3x = 6

Now we have two simultaneous equations:

y -2x = 1

y + 3x = 6

subtraction gives -5x = -5 so x = 1

Substitute x = 1 into one of the original equations to find y.

y + 3x = 6 becomes y + 3 = 6, so y = 3

After w weeks, the expression for the total cost of games is 250 + 4000w.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1.

As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.

Linear expressions are what the two expressions are. One variable raised to the power of one makes up a linear expression.

250 + 1000g.

Where: g(w) = 4w.

250 + 1000(4w).

250 + 4000w.

Therefore, number of games produced in w weeks is 250 + 4000w.

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Answer:

320.

Step-by-step explanation:

272 = x - 0.15x     where x is the regular price

0.85x = 272

x = 272/0.85

= 320.

The answer is either 2 cups or slightly more than 2 cups of fluid to rehydrate himself.

Rehydration means replenishing the fluids and electrolytes lost from the body due to various reasons, such as sweating during exercise, diarrhea, vomiting, fever, etc.

It is important to maintain proper hydration levels to keep the body functioning properly.

Here we have

Bert goes to the gym and works out strenuously for about 45 minutes. after his exercise session, he weighs himself and notices that he has lost a pound.  

It is recommended to drink about 16-20 ounces (2-2.5 cups) of fluid for every pound lost during exercise.

Since Bert lost one pound during his workout, he should drink about 16-20 ounces (2-2.5 cups) of fluid to rehydrate his body.

Therefore,

The answer is either 2 cups or slightly more than 2 cups of fluid to rehydrate himself.

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Answer:

I think D but im not sure

Step-by-step explanation:

Answer: D. The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.

Step-by-step explanation: Because it is a linear function it needs to fluctuate so by using process of elimination D is the only answer that would look like a linear function by having that curved line we are looking for in a function.

Answer:

2km

Step-by-step explanation:

100000cm=1km

200000cm=

\( \frac{200000}{100000} km\)

=2km

Answer:

I answered this already in your last question, it is 6 1/6

Step-by-step explanation:

hope it helps

Answer:

option C is correct.

hope this answer helps you dear..... take care and may u have a great day ahead!

Answer:

x=10

Step-by-step explanation:

It's a 90 degree angle.

90-60=30

30=the remaining angle, 3x

x=30/3, or 10

Hope I helped!

Answer:

0

Step-by-step explanation:

pretty sure don't trust me though

The molar volume of ethane at 300 K and 200 atm, calculated using the Van der Waals equation of state, is approximately 0.109 L/mol.

To calculate the molar volume, we need to solve the cubic equation obtained from the expanded Van der Waals equation of state:

V^3 - (b + pRT)V^2 + (pa)V - pab = 0

Given the values of a = 5.5088 L^2 atm mol^(-2) and b = 0.065144 L mol^(-1) for ethane gas, and the temperature T = 300 K and pressure p = 200 atm, we can substitute these values into the cubic equation.

Substituting the values into the equation, we have:

V^3 - (0.065144 + (200)(0.0821)(300))V^2 + (5.5088)(200)V - (200)(0.065144)(5.5088) = 0

Solving this cubic equation, we find that one of the roots corresponds to the molar volume of ethane at the given conditions, which is approximately 0.109 L/mol.

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\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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The mean is $53,459.70, midrange is $52,716, median is $53,216, and mode is  $50,968 in the given data set of college tuitions.

The "Top 10" list of the annual tuition amounts of the most expensive colleges in a country provides information about the upper end of the college tuition spectrum. It represents the highest tuition rates among all the colleges in the country for a specific year.

Analyzing the specific tuition amounts in the list, we can calculate various measures of central tendency to further understand the distribution of college tuitions across the country.

Mean: To find the mean, we sum up all the tuition amounts and divide by the number of values. The sum of the tuitions is $54,464 + $50,968 + $52,518 + $53,753 + $53,560 + $52,872 + $53,661 + $50,968 + $52,905 + $53,918 = $534,597. Dividing by 10 (the number of values), the mean is $534,597 / 10 = $53,459.70 (rounded to the nearest cent).

Midrange: The midrange is the average of the highest and lowest values in the data set. In this case, the highest value is $54,464 and the lowest value is $50,968. Therefore, the midrange is ($54,464 + $50,968) / 2 = $52,716.

Median: To find the median, we arrange the tuition amounts in ascending order and find the middle value. Since there are 10 values, the middle two values are $52,872 and $53,560. Taking the average of these two values, the median is ($52,872 + $53,560) / 2 = $53,216.

To find the mode of a data set, we need to determine the value(s) that appear most frequently. In the given data set:

$54,464, $50,968, $52,518, $53,753, $53,560, $52,872, $53,661, $50,968, $52,905, $53,918

The mode is the value that occurs most frequently. In this case, we can see that the value $50,968$ appears twice, which is more frequently than any other value in the data set.

Therefore, the mode of the given data set is $50,968.

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Answer:

Step-by-step explanation:

If AB is parallel to CD and there is a transversal cutting through both (as there is, although it is not named here), then by the definition of corresponding angles, angles 1 and 5 are corresponding and are therefore, congruent. If angle 1 measures 120 then so does angle 5. Learn these...they're very important and are prevalent in triangle stuff in geometry!!!

Answer:

4 yards

Step-by-step explanation:

The volume of a rectangular prism is length*width*height.

Let's set the missing height as "x".

Then, we find this equation:9*10*x=360

90x=360

x=4

Therefore, the height of this rectangular prism is 4 yards.

Feel free to tell me if I did anything wrong! :)

Answer: $2.44

Step-by-step explanation: ur just gonna do 0$.82 + $1.62 = $2.44

THERES UR ANSWER.........!!!!!!!!!!!!!

We can conclude that the students did not have any time left to work on homework.

The duration of Mr. K's math class is 1 and 1/4 hours, or 5/4 hours.

We need to determine how much time is left for the kids to do their assignment after working on problems on the board for 55 minutes and 11/12 hours. To achieve this, we must take the time spent solving issues out of the overall class time:

Total class time = 5/4 hours

Time spent on working problems = 55 minutes + 11/12 hours

= (55/60) hours + (11/12) hours

= (11/12 + 55/60) hours

= (11/12 + 11/12) hours

= (22/12) hours

= (11/6) hours

Overall class time minus the amount of time spent solving problems equals the amount of time remaining for homework.

= 5/4 hours - 11/6 hours

= (15/12) hours - (22/12) hours

= (-7/12) hours

We can infer that the kids ran out of time to finish their homework because the response is illogical because we cannot have negative time.

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The 1930s was a period of significant change in the U.S. entertainment industry, with the emergence of new technologies and the development of new forms of media. Here are some of the key changes that took place:

Overall, the 1930s was a period of significant change in the U.S. entertainment industry, with the rise of new technologies and the emergence of new forms of media leading to the development of new genres and changing audience preferences.

Therefore, the correct answer is (B) No, she needs 1/2 cup more.

To determine if Patricia has enough rice cereal for her recipe, we need to calculate the total amount of rice cereal she has after all her actions and compare it to the 3 cups required for the cereal clusters.

Initially, Patricia had 5 cups of rice cereal. She used 3 cups to make granola bars, leaving her with 2 cups. She then borrowed 0.5 cup from her friend, which brings her total to 2.5 cups.

Finally, she needs 3 cups of rice cereal for the cereal clusters recipe. Since she only has 2.5 cups, she does not have enough rice cereal and needs to get more. Therefore, the correct answer is B) No, she needs 1/2 cup more.

She then borrows 0.5 cup, so she now has 2 + 0.5 = 2.5 cups.

needs 3 - 2.5 = 0.5 cups more.

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Answer:

It's not "wrong", per se, it just didn't quite include the info that your teacher wanted! I personally would have said "Rotate 180 degrees about F", so I think that may be it.

Let me know if this helped by hitting the thanks button/marking brainliest! If not, please comment and I'll get back to you ASAP.

The answers to the multiple-choice questions are as follows:

Converse: C. If you are not awake, then you are in class.

Inverse: OB. If you are not in class, then you are awake.

Contrapositive: OC. If you are awake, then you are not in class.

The converse, inverse, and contrapositive of the given statement "If you are in class, then you are not awake" are as follows:

Converse: If you are not awake, then you are in class.

The converse swaps the positions of the hypothesis and conclusion.

Inverse: If you are not in class, then you are awake.

The inverse negates both the hypothesis and the conclusion.

Contrapositive: If you are awake, then you are not in class.

The contrapositive negates both the hypothesis and the conclusion and swaps their positions.

Therefore, the answers to the multiple-choice questions are as follows:

Converse: C. If you are not awake, then you are in class.

The converse statement reflects the swapped positions of being awake and being in class.

Inverse: OB. If you are not in class, then you are awake.

The inverse statement reflects the negation of both being in class and being awake.  

Contrapositive: OC. If you are awake, then you are not in class.

The contrapositive statement reflects the negation of both being in class and being awake, while swapping their positions.

Note: The provided option "You are not in place or you are not awake" does not correspond to any of the converse, inverse, or contrapositive statements.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

d = 380 units

Step-by-step explanation:

Find the absolute value of the difference of the 2 numbers, that is

d = | - 235 - 145 | = | - 380 | = | 380 | = 380

or

d = | 145 - (- 235) | = | 145 + 235 | = | 380 | = 380

The average mark that Sally need on the next two tests to have an average of 80 for all of the tests is 88.

Since the average mark on the first 4 tests Sally took was 76. The total marks will be:

= 76 × 4

= 304

Since she wants an average of 80 on 6 test, the total will be:

= 80 × 6

= 480

Therefore, the average needed in the two tests will be:

= (480 - 304) / 2

= 88

The average is 88.

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The solution for x in the equation given as x² = 1/4 is (b) x = ±1/2

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

An equation

The equation as poorly stated in the question is represented as

x2=14

When written properly

We have the following representation

x² = 1/4

Solving further, we need to take the square root of both sides of the equation

So, we have the following representation

√x² = ±√1/4

Evaluate the exponents on the left-hand side

So, we have the following representation

x = ±√1/4

Evaluate the exponents on the right-hand side

So, we have the following representation

x = ±1/2

Hence, the solution is (b) x = ±1/2

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Trigonometric identities are mathematical equations that involve trigonometric functions such as sine, cosine, tangent, and their reciprocals. They are true for all values of the variables involved. The following are some examples of trigonometric identities:

1. Pythagorean Identity: sin²θ + cos²θ = 1. This identity relates the values of sine and cosine of an angle with the unit circle.

2. Even-Odd Identities: sin(-θ) = -sin(θ) and cos(-θ) = cos(θ). These identities show that the sine function is an odd function and the cosine function is an even function.

3. Co-function Identities: sin(π/2 - θ) = cos(θ) and cos(π/2 - θ) = sin(θ). These identities relate the values of sine and cosine of complementary angles.

4. Double-Angle Identities: sin(2θ) = 2sin(θ)cos(θ) and cos(2θ) = cos²(θ) - sin²(θ). These identities are used to simplify trigonometric expressions that involve double angles.

5. Half-Angle Identities: sin(θ/2) = ±√[(1-cos(θ))/2] and cos(θ/2) = ±√[(1+cos(θ))/2]. These identities are used to find the values of sine and cosine of half-angles.

All of the above-mentioned equations are trigonometric identities. They are fundamental to solving trigonometric problems and are used extensively in mathematics, engineering, and science.
To determine which of the following are trigonometric identities, you should compare each given equation to known trigonometric identities. These identities are mathematical relationships between the trigonometric functions, such as sine, cosine, and tangent. Here's a step-by-step process:

1. Write down the known trigonometric identities, such as the Pythagorean identities: sin^2(x) + cos^2(x) = 1, 1 + tan^2(x) = sec^2(x), and 1 + cot^2(x) = csc^2(x).
2. Compare each equation in the list to these known identities.
3. Check if the given equations can be simplified or manipulated to match the known identities.
4. Mark the equations that match the known identities as trigonometric identities.

By following this process, you can identify which equations in the list are trigonometric identities.

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Answer:

because there is 1 arc on both meaning they are congruent

Step-by-step explanation:

Answer:

5 Hours

Step-by-step explanation: