A factory uses 50 milligrams of red coloring powder in one batch of candle wax

how many batches of candle wax can it make with 25 grams of red coloring powder

a. Null distribution is expected to be centered at the hypothesized proportion, which is 0.25.

b. Null distribution is expected to be centered at 25.

a. If you are using a proportion as your statistic, you expect the null distribution to be centered at the hypothesized proportion, which is 0.25 in this case.

b. If you are using a count as your statistic, you expect the null distribution to be centered at the expected count, which is np under the null hypothesis, where n is the sample size and p is the hypothesized proportion. In this case, np = 100 * 0.25 = 25.

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A testable prediction of what will happen under a specific set of conditions is known as a hypothesis.

A hypothesis is a tentative explanation or prediction about a phenomenon or relationship between variables, based on limited evidence or prior knowledge. It is often formulated as a statement that can be tested through research or experimentation.

A hypothesis typically includes an independent variable (the variable that is being manipulated or studied) and a dependent variable (the variable that is being measured or observed). The hypothesis also includes a prediction about how the independent variable will affect the dependent variable.

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Since, we have a transversal cutting parallel lines, the ∠1 and ∠4 and ∠5 and ∠8 are congruent  by vertical angles theorem.

The angles opposite each other when two lines cross are vertically opposite angles.

In other words, vertical angles are a pair of opposite angles formed by intersecting lines.

Vertically opposite angles are congruent.

∠1≅∠4 (vertically opposite angles)

∠5 ≅∠8(vertically opposite angles)

Therefore, ∠1≅∠4  and ∠5 ≅∠8 by vertical angle theorem

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Answer:

es la b) Oscar es más bajos que todos

Step-by-step explanation:

espero y te ayude

To receive a score on this portion of the final assessment, students should form groups with 1 to 3 members.

The question specifies that groups of 4 members or larger will receive a zero score on this portion of the final assessment. This requirement is set by the Committee on the Status of Endang.

The purpose of this restriction may be to encourage collaboration and ensure fair evaluation by limiting the group size to a manageable number. By restricting group sizes to 1-3 members, it promotes individual and small group participation, allowing each student to actively contribute to the assessment.

The Committee on the Status of Endang likely established this rule to maintain the integrity of the assessment process and prevent potential issues that may arise from larger groups, such as unequal distribution of work, lack of participation, or excessive collaboration. By setting a maximum group size, the committee aims to ensure fairness and maintain the academic standards of the assessment.

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Answer:

  D) A″ (3, 2), B″ (3, 0), C″ (−1, 0), D″ (−1, 2)

Step-by-step explanation:

You want the coordinates of points A", B", C", D" after A(-5, 1), B(-5, 3), C(-1, 3), and D(-1, 1) have been translated by <2, -3> and reflected across the origin.

The translation transformation is given in the problem statement:

  (x, y) ⇒ (x +2, y -3)

The reflection transformation is ...

  (x, y) ⇒ (-x, -y) . . . . . . . reflection across the origin

The composition of these transformations is ...

  (x, y) ⇒ (-(x +2), -(y -3))

  (x, y) ⇒ (-x-2, -y+3)

Using this transformation on the given points, we find ...

  A(-5, 1) ⇒ A"(-(-5)-2, -1+3) = A"(3, 2)

  B(-5, 3) ⇒ B"(-(-5)-2, -3+3) = B"(3, 0)

  C(-1, 3) ⇒ C"(-(-1)-2, -3+3) = C"(-1, 0)

  D(-1, 1) ⇒ D"(-(-1)-2, -1+3) = D"(-1, 2)

Answer:

n(menang) = 6

n(seluruh) = 20

P(menang) = n(menang)/n(seluruh) = 6/20 = 3/10 atau 0,3 atau 30%

In linear equation, The quarts of yellow paint mixed with 6 quarts of red paint should be, 4.

What in mathematics is a linear equation?

the number of quarts of yellow paint should be mixed with 6 quarts of red paint.

According to question

As, 3 quarts of red paint is mixed with 2 quarts of yellow paint

So, 6 quarts of red paint is mixed with

                                6/3  *   2 = 4 quarts of yellow paint

Thus, the quarts of yellow paint mixed with 6 quarts of red paint should be, 4.

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Answer:

\(x = -\frac{15}{2}\)

Step-by-step explanation:

Hello!

The formula for the AOS is given to you, and you simply have to plug in the information given by the equation.

Equation of a Parabola (Standard): \(y = ax^2 + bx + c\)

Comparing it to our equation:

Plug it in to the AOS formula:

You only have to input 15 in to the correct box since the negative sign is already placed for you.

Answer:

17 hours

Step-by-step explanation:

total cost = fee + cost per hour * hours

100 = 15 + 5h

Subtract 15 from each side

100-15 = 5h

85 = 5h

Divide by 5

85/5 = 5h/5

17 =h

Answer:

Kim rent the bike for 17 hours.

Step-by-step explanation:

h=hours

15 + 5h = 100

Subtract 15 on both sides.

5h = 85

Divide 5 on both sides.

h = 17

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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We can solve the given system of equations to find how many grams of fat are in each when two eggs and two pieces of bacon have a total of 22 grams of fat and two eggs and four pieces of bacon have a total of 32 grams of fat.

Step-by-step explanation:

Let's consider that each piece of bacon has "x" grams of fat and each egg has "y" grams of fat.

From the given information, we can form two equations as follows:

Equation 1: 2x + 2y = 22 (when two eggs and two pieces of bacon have a total of 22 grams of fat)

Equation 2: 4x + 2y = 32  (when two eggs and four pieces of bacon have a total of 32 grams of fat)

To solve for "x" and "y", let's perform elimination by multiplying Equation 1 by (-2) and adding it to Equation 2.

-4x - 4y = -44  (multiply Equation 1 by -2)
+ 4x + 2y = 32  (Equation 2)

-2y = -12

y = 6

Substitute the value of "y" in Equation 1 or 2 to solve for "x":

2x + 2y = 22

2x + 2(6) = 22

2x = 10

x = 5

Therefore, each piece of bacon has 5 grams of fat and each egg has 6 grams of fat.

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Answer:

y=5x

please see the attached picture..

Hope it helps...

Good luck on your assignment.....

Y is proportional to x

☆ Remove the proportional sign

y = k x

if k = 5

y = 5x

The money in the account will be $252.

For simple interest, use the formula:

I = Prt

where I stands for interest earned, P for principle (amount paid in the beginning), r for yearly interest rate (in decimal form), and t for the time in years.

P equals $200, r equals 0.052, and t equals 5. With these values entered into the formula, we obtain:

I = Prt = ($200)(0.052)(5) = $52

The account will thus have $52 in interest after 5 years. After five years, we add the interest to the principal to determine the account's total balance:

Total = $200 + $52 = $252

Therefore, after five years, the account will have $252.

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Answer:

-2,2

Step-by-step explanation:

x^2-4-0

(x+2)(x-2)

x+2=0

x=-2

x-2=0

x=2

Answer:

there were 91,487.414 gallons of water in the tank before the leak.

Step-by-step explanation:

To find out the number of gallons of water that was in the tank before the leak, you can use the following equation:

Number of gallons before the leak = Number of gallons after the leak + Number of gallons leaked

Plugging in the values given in the problem, we get:

Number of gallons before the leak = 91,468 gallons + 19.414 gallons

Solving this equation gives us:

Number of gallons before the leak = 91,487.414 gallons

So there were 91,487.414 gallons of water in the tank before the leak.

Answer:

your did too?

Step-by-step explanation:

Answer:

there are 3 girls and 4 boys in the family. The girl has 3 sisters and 3 brothers.

Step-by-step explanation:

If there are 4 girls and 3 boys than the girl has 3 sisters and 3 brothers.

the boy has 4 sisters and 2 brothers. 2 is half of 4.

Answer:

Step-by-step explanation:

Answer:

y=3-2x

any more help just ask :)

The value of x is 10

Similar shapes are enlargements of each other using a scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

The ratio of the corresponding sides of similar shapes is equal.

Therefore :

18+8x/3x-2 = 14/4

4(18+8x) = 14(3x-2)

72+32x = 42x - 28

collect like terms

42x- 32x = 72+28

10x = 100

divide both sides by 10

x = 100/10

x= 10

therefore the value of x is 10

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System of Equations

Let

x = Number of laptops

y = Number of tablets

There are 30 salespeople and the business wants to assign one device to each one of them, thus:

x + y = 30

Each laptop cost $515 and each tablet cost $285. The business has $11,080 to spend in the new equipment, thus:

515x + 285y = 11,080

The system of equations that models the problem is:

x + y = 30

515x + 285y = 11,080

Answer:

110 billion or 1.10x10^8 to the nearest 10th.

Step-by-step explanation:

The population, P, that results from a constant yearly increase from a starting value (S) at a rate (R, as a decimal)) for x years is given by the expression:

    P(x) = S*e^(1+R)x

    P(40) = (35x10^6)*(1.03)^40

    P(40) = (35x10^6)*(1.03)^40

     P(40) = (35x10^6)*3.26

     P(40) = 1.14x10^8

The popultion will be 114,000,000  [114 billion or 1.14x10^8)

110 billion or 1.10x10^8 to the nearest 10th.

Given that matrix A is symmetric and matrix B is skew symmetric, we need to determine the missing entries in each matrix.

To do this, we can use the properties of symmetric and skew symmetric matrices. In addition, we need to evaluate the given statements regarding the matrices A and B.

For the missing entries in matrix A, we observe that it is symmetric. This means that the entries below the main diagonal are the same as the entries above the main diagonal. For example, if A = [a b c; d e f; g h i], then b = d, c = g, and f = h. We can use this property to find the missing entries in matrix A.

For the missing entries in matrix B, we observe that it is skew symmetric. This means that the entries on the main diagonal are zero, and the entries below the main diagonal are the negatives of the entries above the main diagonal. For example, if B = [0 -x -y; x 0 -z; y z 0], then x = -x, y = -y, and z = -z. We can use this property to find the missing entries in matrix B.

Regarding the statements:

(a) (A + B)(A - B) = A² - B² is true. By expanding both sides, we can verify that the equation holds using the properties of symmetric and skew symmetric matrices.

(b) If AB = 0 and A is invertible, it does not necessarily mean that B = 0. This statement is false. A counterexample would be if A is an invertible matrix and B is the zero matrix. In this case, AB = A(0) = 0, but B is not equal to the zero matrix. Therefore, the statement is not true in general.

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Answer:

Location.

Explanation:

A point has no physical properties of any sort, so 2 would automatically be out of the question. A point on a number line is represented by a dot, and the location of whatever object you're representing as the dot will be where the dot goes. Therefore, the answer is Location.

Hope this helped!

Answer:

She Flipped the symbol

Step-by-step explanation:

Please don't cry. I will explain it to you. Just please don't cry.

She multiplied correctly. But in her end result, she flipped the symbol.

You only flip symbols when multiplying or dividing by a negative number.

I hope this helps! Please don't cry :)

Answer:

you call 911

Step-by-step explanation:

i hope you are doing ok

Answer:

9-1-1 I am pretty sure 0///0

Step-by-step explanation:

am I wrong I-