PLS HElP ITS FOR IXL
Write an algebraic expression
f is j decreased by 207

mode is the data that occurs most often in a data

Answer:

10g/cm^3

Step-by-step explanation:

Density is calculated by dividing the mass over volume.  

d = m/v ( where d is density,

              m is mass and

              v is volume).

In this question, the value for  volume is unknown as we were only given length.

STEP 1:

so we find volume first by using the length of side given.

Volume of a cube = (length of side )^3

volume = (2cm)^3 , volume = 2cm x 2cm x 2cm = 8cm^3

STEP 2:

we put the value for volume into the density formula'

d = mass / volume

d = 80g / 8cm^3

d = 10g/cm^3

To find the probabilities, we will use the conditional probability formula:

P(A ∩ B) = 0.66 * 0.51

= 0.3366.

P(A' ∩ B) = P(A') * P(B | A')

= 0.34 * 0.27

= 0.0918.

P(B) = 0.3366 + 0.0918

= 0.4284.

P(A | B) = P(A ∩ B) / P(B). P(A | B)

= 0.7851.

1. P(A ∩ B): We need to find the probability of events A and B occurring together. Since we are given P(A) and P(B | A), we can calculate P(A ∩ B) using the formula P(A ∩ B) = P(A) * P(B | A).
  P(A ∩ B) = 0.66 * 0.51 = 0.3366.

2. P(A' ∩ B): We need to find the probability of event A' (not A) and B occurring together. Since we are given P(B | A') and P(A'), we can calculate P(A' ∩ B) using the formula P(A' ∩ B) = P(A') * P(B | A').
  To find P(A'), we subtract P(A) from 1: P(A') = 1 - P(A) = 1 - 0.66 = 0.34.
  P(A' ∩ B) = P(A') * P(B | A') = 0.34 * 0.27 = 0.0918.

3. P(B): We need to find the probability of event B occurring. We can use the Law of Total Probability: P(B) = P(A ∩ B) + P(A' ∩ B).
  P(B) = 0.3366 + 0.0918 = 0.4284.

4. P(A | B): We need to find the probability of event A occurring given that B has occurred. Using the conditional probability formula, P(A | B) = P(A ∩ B) / P(B).
  P(A | B) = 0.3366 / 0.4284 = 0.7851.

To summarize:
- P(A ∩ B) = 0.3366
- P(A' ∩ B) = 0.0918
- P(B) = 0.4284
- P(A | B) = 0.7851.

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The probabilities are as follows, P(B) = 0.5032 and P(A | B) = 0.6686. To find the requested probabilities, we can use the conditional probability formula: P(A | B) = P(A and B) / P(B)

Let's calculate each probability step by step:
1. P(B and A): This represents the probability of both events B and A happening simultaneously. Since P(B | A) = 0.51, we can use this value along with P(A) = 0.66 to calculate P(B and A):
P(B and A) = P(B | A) * P(A) = 0.51 * 0.66 = 0.3366
2. P(B and A complement): This represents the probability of event B happening while A does not happen. We can use P(B | A complement) = 1 - P(B | A) = 1 - 0.51 = 0.49 to calculate P(B and A complement):
P(B and A complement) = P(B | A complement) * (1 - P(A)) = 0.49 * (1 - 0.66) = 0.1666
3. P(B): This represents the probability of event B happening. We can calculate this using the law of total probability:
P(B) = P(B and A) + P(B and A complement) = 0.3366 + 0.1666 = 0.5032
4. P(A complement): This represents the probability of event A not happening. We can calculate this by subtracting P(A) from 1:
P(A complement) = 1 - P(A) = 1 - 0.66 = 0.34
5. P(B | A complement): This represents the probability of event B happening given that event A does not happen. We are given that P(B | A complement) = 0.27, so no further calculation is needed.
Now, we can find the remaining probability:
6. P(A | B): This represents the probability of event A happening given that event B happens. We can calculate this using the conditional probability formula:
P(A | B) = P(A and B) / P(B) = 0.3366 / 0.5032 = 0.6686

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Probability that the survey will show a greater percentage of senior citizens voter is 0.24 .

Given,

In one state, 52% of the voters are senior citizens, and 48% are adults. In a second state, 47% of the  voters are senior citizen, and 53% are adults. Suppose a simple random sample of 100 voters are

surveyed from each state.

So,

Mean Difference in number of  republican  in both states = 0.52  - 0.47  = 0.05

standard deviation   =   √ ((0.52)(0.48)/100 + (0.47)(0.53)/100 )

=  0.0706

Z score  = ( Value - mean ) / SD

Difference should be less than 0 for greater percentage of Republican voters in the second  state than in the first state

Hence Value =  0  

=>Z =  ( 0 - 0.05)/ 0.0706  

=> Z  = -0.708

From Z score table -0.708 refers to 0.24

Hence 0.24 is the probability that the survey will show a greater percentage of senior citizens voters in the second state than in the first state .

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Answer:

B

Step-by-step explanation:

It has two or more terms.

The value of a/b is  \(\sqrt{6}\) / 2

The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.

Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.

According to the question:-

Side of an equilateral triangle equals a/3.

Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].

Hexagonal side equals b / 6.

The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2 

= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]

So

sqrt (3) / 36 a2 = sqrt (3) / 24 b2

So

A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]

a^2 / b^2 = [ 36 / 24 ]

a^2/ b^2 = 3/2

A/ B = Sqrt(3) / Sqrt(2)

=Sqrt(6) / 2

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a.

= (5x)² - 3 = 25x² - 3

- 5f(x) = 5(x² - 3) = 5x² - 15

b.

- f(x - 2) = (x - 2)² - 3 = x² - 4x + 1

- f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

a. To calculate f(5x), we substitute 5x into the function f(x) and simplify the expression.

  f(5x) = (5x)² - 3 = 25x² - 3

  To calculate 5f(x), we multiply the function f(x) by 5.

  5f(x) = 5(x² - 3) = 5x² - 15

b. To calculate f(x - 2), we substitute (x - 2) into the function f(x) and simplify the expression.

  f(x - 2) = (x - 2)² - 3 = x² - 4x + 4 - 3 = x² - 4x + 1

  To calculate f(x) - f(2), we evaluate f(x) and f(2) separately and then find their difference.

  f(x) = x² - 3

  f(2) = 2² - 3 = 4 - 3 = 1

  f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

For the difference quotient of f(x) = -7x² - 5x + 9, we can calculate it as follows:

Difference quotient = [f(x + h) - f(x)] / h

Expanding the function and substituting into the difference quotient formula, we have:

[f(x + h) - f(x)] / h = [-7(x + h)² - 5(x + h) + 9 - (-7x² - 5x + 9)] / h

Simplifying and expanding further:

= [-7(x² + 2hx + h²) - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-7x² - 14hx - 7h² - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-14hx - 7h² - 5h] / h

= -14x - 7h - 5

The difference quotient of f(x) = -7x² - 5x + 9 is -14x - 7h - 5.

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Answer

a^1=-2,5

a^n=a×a^n-1

A food that contains 20 grams of carbohydrates, 8 grams of protein, and 5 grams of fat provides approximately 157 calories.

To calculate the total calories provided by the food, we need to determine the calories contributed by each macronutrient and sum them up. Carbohydrates and proteins provide 4 calories per gram, while fat provides 9 calories per gram.

For carbohydrates: 20 grams * 4 calories/gram = 80 calories

For protein: 8 grams * 4 calories/gram = 32 calories

For fat: 5 grams * 9 calories/gram = 45 calories

Adding up the calories from each macronutrient, we have:

80 calories (carbohydrates) + 32 calories (protein) + 45 calories (fat) = 157 calories.

Therefore, a food containing 20 grams of carbohydrates, 8 grams of protein, and 5 grams of fat provides approximately 157 calories.

It's important to note that this calculation is an estimate and does not take into account other factors such as fiber content or specific types of fats. Additionally, there may be small rounding errors in the calculation.

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Step-by-step explanation:

7/8, 1/4 is equal to 2/8 so just add 2/8 and 5/8 together

Answer:

c = 45h + 30

Step-by-step explanation

Hi! You know that you are trying to find the value of c, so you are going to set that as what would be your y value.

Now you know that you have to pay $30 as a fee no matter what, so you need to make sure that there is $30 attached to the equation without it being multiplied by anything.

Next, you know that it is $45 per hour, so you are going to multiply 45*h, where h is the number of hours the electrician works.

Hope this helps!

Answer:

I think the answer to this question is the last multiple choice answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

between one and 6

Step-by-step explanation:

musrbe the answer

Answer:

Just plot one point on (0, 5) and the other one on (6, 8)

Step-by-step explanation:

You just plot (0, 5) then you go 1 up and 8 to the right and plot another point there.

Hope it helps!

There are 64 ways to choose a single class representative.

To find the total number of ways to choose a single class representative, we add the number of students in each college: 18 students from the College of Liberal Arts and Social Sciences, 19 students from the College of Education, and 27 students from the College of Science and Health.

This gives us a total of 18 + 19 + 27 = 64 students. To choose a single class representative, we can choose any one of these 64 students, so there are 64 ways to choose a single class representative.

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The chi-square test for homogeneity is used if he wants to determine if the distributions are the same.

What is the chi-square test?

Chi-square is a statistical test that looks at how categorical variables from a random sample differ from one another to see if the expected and actual findings match together well.  It is a contrast of two sets of statistical data. Karl Pearson developed this test in 1900 for the analysis and distribution of categorical data.

Here,

We have to determine for which situations should the chi-square test for homogeneity be used.

We concluded from the given option that:

A researcher is trying to determine if salaries for men and women in the tech industry have the same distribution.

He surveys a random sample of men and women in the industry and records the distribution of salaries for each gender.

He wants to determine if the distributions are the same.

Hence, the chi-square test for homogeneity is used if he wants to determine if the distributions are the same.

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Answer:

989 in^2

Step-by-step explanation:

The surface area of the larger cube is

SA = 5 s^2  because she will stain all the sides but the bottom one

SA = 5 * 11^2 = 5*121 = 605

The surface area of the smaller cube is

SA = 6s^2 since she will stain all sides

SA = 6* 8^2 =6*64 =384

Add both surface areas together

605+384

989

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

Answer:

C. 66°

Step-by-step explanation:

Given:

m∠FAB = 48°,

m∠ECB = 18°,

Required:

m∠ABC

SOLUTION:

∠CHB ≅ ∠FAB (alternate interior angles theorem)

m∠CHB = ∠FAB

m∠CHB = 48° (substitution)

m∠CHB + m∠ECB + m∠CBH = 180° (sum of angles in a ∆)

48° + 18° + m∠CBH = 180° (substitution)

66° + m∠CBH = 180°

Subtract 66° from each side

m∠CBH = 180° - 66°

m∠CBH = 114°

Thus,

m∠CBH + m∠ABC = 180° (Linear pair)

114° + m∠ABC = 180° (substitution)

Subtract 114° from both sides

m∠ABC = 180° - 114°

m∠ABC = 66°

The angle m∠ABC will be equal to 66° the correct answer is option C.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Given:

m∠FAB = 48°,

m∠ECB = 18°,

Required:

m∠ABC

The angle ABC will be calculated as follows:-

∠CHB ≅ ∠FAB (alternate interior angles theorem)

m∠CHB = ∠FAB

m∠CHB = 48° (substitution)

m∠CHB + m∠ECB + m∠CBH = 180° (sum of angles in a ∆)

48° + 18° + m∠CBH = 180° (substitution)

66° + m∠CBH = 180°

Subtract 66° from each side

m∠CBH = 180° - 66°

m∠CBH = 114°

Thus,

m∠CBH + m∠ABC = 180° (Linear pair)

114° + m∠ABC = 180° (substitution)

Subtract 114° from both sides

m∠ABC = 180° - 114°

m∠ABC = 66°

Therefore the angle m∠ABC will be equal to 66° the correct answer is option C.

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There are significant differences between the two classes in terms of their semester grades, with Class A having higher extreme values, a wider quartile range, and a larger overall range compared to Class B.

When comparing the two classes' semester grades, we can observe some noticeable differences in their performance.  To begin, let's examine the extreme values of the grades. The highest and lowest grades in each class highlight the range of abilities among students. In Class A, the extreme values are higher than those in Class B, indicating that the top-performing students in Class A outperformed their counterparts in Class B.

Next, let's analyze the quartiles, which divide the data into four equal parts. The first quartile (Q1) represents the 25th percentile, the second quartile (Q2) is the median, and the third quartile (Q3) is the 75th percentile. Comparing the medians of both classes reveals that Class A has a higher median grade than Class B, suggesting that the overall performance of students in Class A is superior to that of Class B.

Now, let's compare the different types of ranges to get a better understanding of the variability in each class's grades. The interquartile range (IQR), which measures the difference between Q1 and Q3, can help us determine the spread of the middle 50% of grades. If Class A has a larger IQR than Class B, this indicates a wider variation in the middle 50% of students' performance in Class A as opposed to Class B.

After analyzing the semester grades of the two classes, it is clear that they have different distributions. The extreme values in Class A are higher than those in Class B, with Class A having a maximum grade of 98 while Class B only had a maximum grade of 90. On the other hand, the minimum grade in Class B was 60, whereas in Class A it was 65. The quartiles also differ between the two classes, with Class A having a wider range between the first and third quartiles. The median grade in Class A was 84, while in Class B it was 78. Additionally, the range in Class A was larger than that in Class B, with the former having a range of 33 while the latter had a range of 30.

In conclusion, by evaluating the extreme values, quartiles, medians, and different types of ranges, we can gather essential information about the semester grades of the two classes. From this analysis, it appears that Class A has generally better performance, with higher extreme values and a higher median grade, though it is essential to also consider variations in the middle 50% of students' grades when making a comprehensive comparison.

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The critical point (1, -1) represents a relative minimum of f(x, y) with a value of -1/3 and (1, -1) is the only extremum or relative maximum of the function.

To find the relative maximum and minimum values of the function f(x, y) = (\(x^3\))/3 + 2xy +\(y^2\) - 3x + 1, we need to analyze its critical points and classify them using the second partial derivative test.

To find the critical points, we need to compute the partial derivatives of f with respect to x and y and set them equal to zero:

∂f/∂x = \(x^2\) + 2y - 3 = 0

∂f/∂y = 2x + 2y = 0

Solving these equations simultaneously, we find x = 1 and y = -1.

Thus, the critical point is (1, -1).

Next, we need to compute the second partial derivatives and evaluate them at the critical point:

∂²f/∂x² = 2

∂²f/∂y² = 2

∂²f/∂x∂y = 2

Now, we can use the second partial derivative test to classify the critical point.

The discriminant D = (∂²f/∂x²) × (∂²f/∂y²) - \(\left(\frac{{\partial^2 f}}{{\partial x \partial y}}\right)^2\) = (2)(2) - \((2)^2\) = 0.

Since D = 0, the test is inconclusive.

To determine the nature of the critical point, we can examine the function near the critical point.

Evaluating f at the critical point (1, -1), we find f(1, -1) = \((1^3)\)/3 + 2(1)(-1) + \((-1)^2\) - 3(1) + 1 = -1/3.

Hence, the critical point (1, -1) represents a relative minimum of f(x, y) with a value of -1/3.

There are no other critical points to consider, so we can conclude that (1, -1) is the only extremum of the function.

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Answer:

w = 33/4 or  8 1/4

Step-by-step explanation:

-2w + 15= -3/2

Solve for w

Multiply each side by 2

-4w + 30 = -3

Subtract 30 from each side

-4w + 30 -30 = -3-30

-4w = -33

Divide by -4

-4w/-4 = -33/-4

w = 33/4

w = 8 1/4

Answer:

Step-by-step explanation:

Answer:

draw a strait line and if it doesn't touch another dot it is a function

Step-by-step explanation:

Answer: Vertical line test

Step-by-step explanation:

Look at one of the graphs you have a question about. Then take a vertical line and place it on the graph. If the graph is a function, then no matter where on the graph you place the vertical line, the graph should only cross the vertical line once.

Answer:

Family a got 120kg, b got 240 kg and c got 120 kg

Step-by-step explanation:

Given that 480kg of rice is shared by families a, b, c. let these alphabets represent the amount received by each family.

a + b + c = 480

Given that B receives twice as much as a, c receives half of b then,

b = 2a and

c = 1/2 b = b/2

from b = 2a,

a = b/2

substituting into the first equation

b/2 + b + b/2 = 480

b + b = 480

2b = 480

b = 480/2

= 240 kg

a = c = b/2

hence a = c = 240/2 = 120kg

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Therefore, the options "it is usually shown on the horizontal axis of a scatter diagram" and "it is usually shown on the vertical axis of a scatter diagram" could both be true, depending on the preference of the researcher or the convention used in a particular field or context.

Neither of the variables is considered as the dependent variable in a correlation analysis. Correlation refers to the strength of the relationship between two variables, without implying a cause-and-effect relationship or assigning one variable as the independent or dependent variable. Therefore, the options "in a cause and effect relationship, it is the effect" and "in a cause and effect relationship, it is the cause" are not applicable.

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The domain of a function is the set of possible input value, the function can take.

The domain is [0,10]

The given parameters are:

\(Flat\ Fee = 15.25\)

\(Rate = 3.45\)

So, the function f(x) is:

\(f(x) = Flat\ Fee + Rate \times x\)

\(f(x) = 15.25 + 3.45 \times x\)

\(f(x) = 15.25 + 3.45x\)

Because x represents the number of orders, the value of x cannot be negative.

The teacher budgets $49.75.

This means that: f(x) = 49.75

So, we have:

\(49.75 = 15.25 + 3.45x\)

Collect like terms

\(49.75 - 15.25 = 3.45x\)

\(34.5 = 3.45x\)

Divide both sides by 3.45

\(10 = x\)

Rewrite as

\(x = 10\)

Hence, the domain is [0,10]

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these numbers can’t go into each other so therefore the answer is not possible