During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.

What is the median of the data? *

The phase that is not a part of the planning process for both statistical and non-statistical sampling is determining the sample size.

Determining the sample size is an essential step in statistical sampling, as it involves calculating the number of observations needed to ensure statistical validity. However, in non-statistical sampling, the focus is on selecting specific cases or items for examination based on subjective criteria, rather than relying on statistical principles or sample size calculations. Instead, non-statistical sampling emphasizes judgment and expert knowledge to choose representative samples. By excluding the determination of sample size, non-statistical sampling allows for greater flexibility and adaptability in the sampling process, enabling a more tailored approach to the specific objectives of the study or investigation.

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The relation which is a function is f ( x ) = | x |

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

y = | x |   be equation (1)

Now , relation is a function if and only if there exists one value in the range for every domain value.

So , when x = { -1 , -2 , 0 , 1 , 2 }

The values of y are = {  1 , 2 , 0 , 1 , 2 }

The modulus function always returns a positive value

Hence , the function is y = | x |  and the graph is plotted

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Answer:

Cost increase= $1,156

New model cost= $35,156

Step-by-step explanation:

Giving the following information:

The next model of a sports car will cost 3.4% more than the current model. The current model costs 34,000.

Cost increase= 34,000*0.034

Cost increase= $1,156

New model cost= 34,000 + 1,156

New model cost= $35,156

The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

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The probability that a student will complete the exam in more than 60 minutes but less than 90 minutes is 0.8099 (to 4 decimal places).

The probability of a student completing the exam in more than 60 minutes but less than 90 minutes can be calculated using the cumulative probability distribution formula. The cumulative probability of a random variable X is given by P(X≤x)=F(x).

In this case, let F(x) represent the cumulative probability of a student completing the exam in more than 60 minutes but less than 90 minutes.

F(x) = P(60<x<90) = P(X<90) - P(X<60)

Using the cumulative probability distribution formula, we can calculate P(X<90) and P(X<60).

P(X<90) = 0.9686

P(X<60) = 0.1587

Substituting these values in the equation:

F(x) = P(60<x<90) = 0.9686 - 0.1587 = 0.8099

Therefore, the probability that a student will complete the exam in more than 60 minutes but less than 90 minutes is 0.8099 (to 4 decimal places).

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The best estimate of the difference between the medians of the post-test and pre-test scores can be determined by comparing the positions of the medians on the box plots.

To estimate the difference between the medians of the post-test and pre-test scores, we need to examine the positions of the medians on the box plots. The median is represented by the line or bar inside the box.

1. Identify the median of the pre-test scores:

  Look for the line or bar inside the box that represents the median of the pre-test scores. Note its value.

2. Identify the median of the post-test scores:

  Similarly, find the line or bar inside the box that represents the median of the post-test scores. Note its value.

3. Calculate the difference:

  Subtract the value of the pre-test median from the value of the post-test median. The result represents the estimated difference between the medians of the two tests.

By comparing the positions of the medians on the box plots and calculating their difference, we can obtain the best estimate of the difference between the medians of the post-test and pre-test scores. It is important to note that this estimation assumes that the box plots accurately represent the data distribution and that there are no outliers affecting the medians.

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Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.

According to the question,

We have the following information:

Chris invested $5,500. The investment had a simple interest rate of 3.5%. And he plans to leave the investment alone for 12 years.

Now, we know that the following formula is used to find the simple interest on an investment:

Interest = principal*rate*time/100

Principal = $5500

Rate = 3.5

Time = 12 years

Interest = (5500*3.5*12)/100

Interest = $2310

Now, the total amount in his account will be:

5500+2310

$7810

Hence, Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.

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Answer:

the answer is B

Step-by-step explanation:

Answer: A. y = 5x -7

Step-by-step explanation:

Y - 5x = -7

+ 5x + 5x

Y = 5x - 7

**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.

Answer:

1 1/3 x 1/2 = 4/3 x 1/2 =4/6 =2/3 cups is this right

Step-by-step explanation:

He will need 12 sq. inches of Paper for each rhombus.

Given: 6 inches tall and 4 inches wide.

so, Length of the diagonals are 6 and 4 inches respectively.

Refer to figure.

The two diagonals cuts the rhombus into four equal parts, so

Area of one rhombus = 4 x (area of 1 part of the rhombus)

Now,

Area of 1 part of the rhombus = \(\frac{1}{2}\) x 3 x 2

                                                  = 3 sq. inches

Area of one rhombus = 4 x 3 = 12 sq. inches

Hence, 12 sq. inches of Paper is needed for each rhombus.

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The paper required for each rhombus needs to have an area of 12 sq. inches.

Due to the fact that it is a quadrilateral with two pairs of parallel sides, a rhombus can be considered a particular parallelogram. A rhombus also has equal sides on all four sides, exactly like a square. Because of this, it is often referred to as a tilted square.

Rhombus diagonals d1 and d2 are used to calculate the area of a rhombus, A = 1/2 × d1 × d2.

In the question, we are given that Juan is making a model out of rhombi, where each rhombus will be connected to the one before it, and they are 6 inches tall and 4 inches wide.

We are asked for the paper required for each rhombus.

The diagonals of each of the given rhombus are, d1 = 6 inches, and d2 = 4 inches.

Thus, the area of each rhombus = 1/2 × d1 × d2 = 1/2 × 6 × 4 sq. inches = 12 sq. inches.

Thus, the paper required for each rhombus needs to have an area of 12 sq. inches.

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Answer:

1 is 25% of 4, so 75% decrease

Step-by-step explanation:

The linear inequality to represent the number of seashell is w ≥ 14 and the graph is attached below

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These values could be numerical or algebraic or a combination of both.

In this problem, Ernest needs at least 14 seashells and he plans to glue 30 seashells on the wall.

An inequality to represent this will be

w ≥ 14

The reason why we are using greater than or equal to sign in this problem is that we need "at least" 14 seashells or more than seashells on the wall.

b)

Kindly find attached below the inequality below.

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We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.

Certainly! Here's an example:

Simplify the expression: \((16x^4)^(-1/2)\)

We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:

\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)

Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):

\(16^(-1/2) = 1/16^(1/2) = 1/4\)

Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):

\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)

Substituting these simplifications back into the original expression, we get:

\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)

Therefore, the simplified expression is \(1/(4x^2).\)

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To change the weight of kilograms into pounds, multiply the weight in kilograms by 2.2

According to the conversion systems, 1 kg = 2.2046 lbs

To facilitate conversion on a pen-paper basis we cannot use 2.2046 whole.

Hence we generally consider 1 k = 2.2 pounds.

The symbol for pounds is lbs and for kilograms is kg.

Now, 1 kg is 2.2 lbs

2 kg = 1 kg + 1 kg

= 2.2 lbs + 2.2 lbs

= 4.4lbs = 2 X 2.2

3 kg = 1 kg + 2 kg

= 2.2 lbs + 4.4 lbs

= 6.6 lbs. = 3 X 2.2

Hence we can see that for all these numbers we can multiply 2.2 to the given weight in kg to get the pounds form.

Hence we need to multiply 2.2

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Answer:

C. 35+5x=90

Step-by-step explanation:

to find x they must add to 90 degrees

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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Answer:

a) is the correct answer

Let x be the volume of the 14% HCl solution and y the volume of the 19% HCl solution, in mililiters.

Since the total volume (in mililiters) of the mix should be 330, then:

The total amount of HCl on the first mix is (14/100), on the second mix is (19/100)y and on the final mix, is (17/100)(330). Then:

Isolate x from the first equation and substitute the resulting expression into the second one. Then, solve for y and go back to the first equation with the value of y to find the value of x:

Therefore, 132 ml of 14% HCl solution and 198 ml of 19% HCl solution are needed to create 330 ml of 17% HCl solution.

Answer:

A

Step-by-step explanation:

The angles are on a opposite side of the the transversal.

Answer:

12 wrestlers

Step-by-step explanation:

First you do 135-75=60 to find the cost he payed for just the wrestlers

then each wrestlers cost 5 dollar so you do 60/5 to get a total of 12 wrestlers

Answer:12

Step-by-step explanation:

Answer:

Martha will have to pay approximately $51,354.24 in 8 years for her loan.

Step-by-step explanation:

$35,790(1 + 0.062/12)^(12*8) A ≈ $51,354.24

Martha will have to pay approximately $53,686.74 in 8 years.

To calculate the total amount Martha will have to pay in 8 years, we can use the formula for compound interest:

A = \(P(1 + r/n)^{nt}\)

Where:

A = the future value of the loan/total amount to be paid

P = the principal amount (initial loan amount) = $35,790

r = the annual interest rate (as a decimal) = 6.2% = 0.062

n = the number of times interest is compounded per year = 12 (monthly compounding)

t = the number of years = 8

Now, let's substitute the values into the formula and calculate the total amount to be paid (A):

A = 35790(1 + 0.062/12)⁹⁶

A = 35790(1.00516666667)⁹⁶

A ≈ 35790 * 1.4995397

A ≈ 53,686.74

So, Martha will have to pay approximately $53,686.74 in 8 years.

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Answer: C

Step-by-step explanation:

Mistook the last one for different type of math apologies...

I just answered in the comments.

The correct answer is option C.

Answer:

Social Darwinism provided an ideological justification for the social inequalities that capitalism had brought with it: these would result from the hereditary inferiority of the poor and the hereditary excellence of the richer classes, which are best enjoyed under a laissez-faire system. Applied to peoples and races, it became a justification for racism and imperialism.

As can be seen, social Darwinism is a retrograde political and philosophical stance, which considered different ethnic or national groups as different in terms of capacity or development possibilities. Therefore, since this position has been regarded as false, social Darwinism has no justification in our time.

The transformation, as we can see, entailed a 90° anticlockwise rotation of the original triangle ABC. As a result, the direction and degree of rotation employed to make the image is 90° anticlockwise.

A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.

ABC Triangle: (-2,-7), (3,-2), (2,-10)

A'B'C' Triangle: (2,-7), (-3,-2), (10,-2)

It should be noted that each vertex of ABC corresponds to a vertex of A'B'C' in the following way:

A(-2,-7) corresponds to A' (2,-7)

B(3,-2) corresponds to B' (-3,-2)

C(2,-10) corresponds to C' (10,-2)

The transformation, as we can see, entailed a 90° anticlockwise rotation of the original triangle ABC. As a result, the direction and degree of rotation employed to make the image is 90° anticlockwise.

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Answer: The first one 90 degrees counterclockwise

Step-by-step explanation: Because when you take the coordinate for each on and use the formula for the 270 degrees since 90 degrees counterclockwise is equal to 270 degrees clockwise you use the formula and that should give you the answer, or you can just look at the graph and tell.

P.S Also I know this is absolutely correct because I took the test and got a 100 and I hope this helps you in the future to understand a question similar without any help, good luck and I hope you have a wonderful day or night :)

Answer:

Step-by-step explanation:

f(x)=4x+1

g(x) = x^2-5

(f*g)(x) = 4x^3+x^2-20x-5

Based on the calculations on this arithmetic sequence, the value of the first term is equal to -8.

An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Given the following data:

Tenth term (a₁₀) = 30.

Common difference = 2.

Substituting the given parameters into the formula, we have;

10 =  a₁ + (10 - 1)2

10 =  a₁ + (9)2

10 =  a₁ + 18

a₁ = 10 - 18

First term, a₁ = -8.

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factor 20 out of 20cx*3 =540y*3

so you get 20(cx*3=540y*3) if that is what you are looking for

Step-by-step explanation:

as this is total 90°angle

68°+x = 90 °

x = 90°-68°

x = 22 °

also

68° + 22 ° = 90 °

Answer:

90 - 68 = 22

the whole angle is 90

if we substract 68 from 90 , we will get the answer.

Answer:

A - 8:1

Step-by-step explanation:

2/5:1/20

cross multiply

40:5

8:1

Answer:

8:1

Step-by-step explanation: