copy machine can print 480 copies every 4 minutes. A teacher printed 720
copies. How long did it take to print?

Answer:

3

Step-by-step explanation:

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Hameed, Waheed, and Saeed will each receive 240 rupees as their proportionate share of the profit of 715 rupees, which is distributed in the ratios of 5:4:3.

A profit of 715 rupees will be split amongst Hameed, Waheed, and Saeed in the proportion of 5:4:3. Hameed, Waheed, and Saeed will each receive 240, 240, and 235 rupees respectively for this. The total amount of the profit is divided among the three in the following proportion: 5:4:3, with Hameed receiving 5 of the total of 14 parts, Waheed receiving 4 of the total of 14 parts, and Saeed receiving 3 of the total of 14 parts. In this manner, the 715 rupee profit is divided into three equal parts and the three of them will get equal shares of the profit. This is the most fair way of dividing the profit among the three of them.

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2(10v - 5) + 5v + 5v =

= 20v - 10 + 5v + 5v =

= 20v + 5v + 5v - 10 = 30v - 10 ← the end

The volume of the composite figure with cone and hemisphere is 628 cubic inches

The given composite figure has a cone and hemisphere

Volume of cone =1/3πr²h

h is height of cone and r is radius of cone

h = 14 in and r is 5 in

Volume of cone = 1/3×3.14×5²×14

= 1/3×3.14×25×14

=1099/3 cubic inches

=366.3 cubic inches

Volume of hemisphere = (2/3)πr³

=2×3.14×5³/3

=785/3

=261.6 cubic inches

Total volume = 366.3 cubic inches + 261.6 cubic inches

=628 cubic inches

Hence, the volume of the composite figure with cone and hemisphere is 628 cubic inches

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The value of the digit 5 in the tenths place of 3.545 is 100 times the value of the digit 5 in the thousandths place.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Evan has a bag of apples that weighs 3.545 pounds.

The value of the digit 5 in the tenths place of 3.545 is 0.500

The value of the digit 5 in the thousandths place of 3.545 is  0.005

Take the ratio of both values:

tenths place value/thousandths place value =  0.500/0.005

tenths place value/thousandths place value =  100

tenths place value = 100(thousandths place value)

Thus, the value of the digit 5 in the tenths place of 3.545 is 100 times the value of the digit 5 in the thousandths place.

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The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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Let's simplify step-by-step.

6+4h+3

Combine Like Terms:

=6+4h+3

=(4h)+(6+3)

=4h+9

Answer:

=4h+9

Answer:

-72!!!!!!!!

Step-by-step explanation:

Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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Answer:

A:the polynomial is a trinomial

The conditional probability of passing the second test, given that the student passed the first test, is approximately 0.857 or 85.7%.

The random variable X represents the outcome of the first test, where it takes on a value of 1 if the student passes and 0 if the student fails.

Similarly, the random variable Y represents the outcome of the second test, taking on a value of 1 if the student passes and 0 if the student fails. Given that the joint probability of passing both tests is 0.6, we can interpret this as the probability of X=1 and Y=1.

The marginal probability of failing the first test is 0.3, which can be represented as P(X=0). To find the conditional probability of passing the second test, given that the student passed the first test, we use the formula \(P(Y=1 | X=1) = P(X=1 and Y=1) / P(X=1).\)

Since we know that \(P(X=1 and Y=1) = 0.6, and P(X=1) = 1 - P(X=0) = 1 - 0.3 = 0.7\), we can substitute these values into the formula:
\(P(Y=1 | X=1) = 0.6 / 0.7\)

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The conditional probability of passing the second test, given that the student passed the first test, is approximately 0.8571 or 85.71%.

The conditional probability of passing the second test, given that the student passed the first test, can be calculated using the formula for conditional probability:

P(Y=1 | X=1) = P(X=1 and Y=1) / P(X=1)

We are given that the joint probability of passing both tests is 0.6, which means P(X=1 and Y=1) = 0.6.

To find P(X=1), we need to use the marginal probability of failing the first test, which is given as 0.3. Since the marginal probability of passing the first test is the complement of failing the first test (i.e., 1 - 0.3 = 0.7), we can say P(X=1) = 0.7.

Now we can substitute these values into the conditional probability formula:

P(Y=1 | X=1) = 0.6 / 0.7

Simplifying this expression, we have:

P(Y=1 | X=1) = 0.8571

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Answer: C 3(6+5)

3 multiplied by the sum or (6+5)

To generate a figure containing the curves y = 1.5*sin(x) and y = x in MATLAB using the linspace and plot commands, you can follow the steps below:

matlab

% Set the range of x values

x = linspace(0, 2.5, 100);

% Calculate y values for each curve

y1 = 1.5*sin(x);

y2 = x;

% Plot the curves

plot(x, y1, 'b', x, y2, 'r')

% Add labels and title

xlabel('x')

ylabel('y')

title('Curves: y = 1.5*sin(x) and y = x')

% Add a legend

legend('y = 1.5*sin(x)', 'y = x')

% Display the grid

grid on

In this code, we use linspace to create a range of x values from 0 to 2.5 with 100 points. Then, we calculate the corresponding y values for each curve using the equations y1 = 1.5*sin(x) and y2 = x. We use the plot command to plot the curves, with 'b' and 'r' specifying the colors of the curves. Next, we add labels, title, and a legend to the graph. Finally, we display the grid.

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The correct sample space for this random experiment is:
{BG, GB, BBG, BGB, GBB, GGB, GBG, GG} where B represents a boy and G represents a girl.

To find the correct sample space:

The first two outcomes, BG and GB, represent the couple having one boy and one girl in their first two children, respectively.

The next three outcomes, BBG, BGB, and GBB, represent the couple having two boys and a girl, a boy, a girl and a boy, and a girl and two boys, respectively, before having at least one boy and one girl.

The last three outcomes, GGB, GBG, and GG, represent the couple having two girls and a boy, a girl, a boy and two girls, and three girls, respectively, before having at least one boy and one girl

The sample space includes all possible combinations of children that the couple can have, including having only one boy or one girl, or having up to three children but stopping after they have one boy and one girl.

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Answer:

0.076 or 4.409 try both its one of those two

Step-by-step explanation:

Answer:

1029 minutes or 17.15 hours

Step-by-step explanation:

25+0.06M=86.74

0.06M=61.74

M=61.74/0.06=1029

Answer:

102 beads will be used for each necklace.

Step-by-step explanation:

3,264/32=102

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

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Answer:

$7.70

Step-by-step explanation:

140x5=700

70= well 70

700+70=770

770/100+7.7

7.7 in money is 7 dollars and 70 cents

:)

Answer:

x=-3+27

Step-by-step explanation:

True average percentage of organic matter in such soil is different from 3%.

What is Statistics?

Statistics is the study of data collection, analysis, presentation, and interpretation. Much of the early push for the subject of statistics came from government demands for census data as well as information about a range of economic operations.

Solution:

We are given that the values of the sample mean and sample standard deviation are 2.481 and 1.611 respectively.

Suppose we know the population distribution is normal, we have to test the hypothesis that does this data suggest that the true average percentage of organic matter in such soil is something other than 3%.

Let μ = true average percentage of organic matter in such soil

SO, Null Hypothesis : μ = 3%   {means that the true average percentage of organic matter in such soil is equal to 3%}

Alternate Hypothesis  : μ ≠ 3%   {means that the true average percentage of organic matter in such soil is different than 3%}

The test statistics that will be used here is One-sample t test statistics because we don't know about the population standard deviation;

TS = (0.02481 - 0.03)/(0.01611)/√30

TS = 4.6% (approx)

Therefore, we conclude that the true average percentage of organic matter in such soil is different from 3%.

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A polynomial function of degree n has at most n real zeros and at most n - 1 turning points.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

A polynomial function

Now,

Because of the Fundamental Theorem of Algebra states that a polynomial function of degree n has exactly n complex roots (or zeros), some of which may be repeated or non-real. The number of real roots is equal to or less than the number of complex roots.

A turning point is a point where the graph of the polynomial function changes direction from increasing to decreasing or vice versa. The number of turning points is equal to or less than one less than the degree of the polynomial function. This is because each turning point corresponds to a change in the sign of the first derivative of the function, and the first derivative is a polynomial function of degree n - 1.

Therefore, by the function the answer will be n - 1.

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Answer:

Vase volume is 452.16 in³

Step-by-step explanation:

The question asks for the volume of a cylinder of radius r and height h.  The relevant formula is V = (pi)(r)^2*h

With h = 9 in and r = 4 in, that max volume (of water) is

V = (3.14)(4 in)^2*(9 in) = 452.`16 in³

Probability of rolling an odd number is 3/6 (outcomes are 1, 3, and 5), which simplifies to 1/2. Hi! I'd be happy to help you with those probabilities. Given that a fair die is rolled and the sample space is (1, 2, 3, 4, 5, 6), the probabilities are as follows:

1. P(4): Probability of rolling a 4 is 1/6 (since there's only 1 outcome out of 6 possible outcomes).

2. P(Less than 5): Probability of rolling a number less than 5 is 4/6 (1, 2, 3, and 4 are the outcomes) which simplifies to 2/3.

3. P(Greater than 4): Probability of rolling a number greater than 4 is 2/6 (outcomes are 5 and 6), which simplifies to 1/3.

4. P(Greater than 0): Since all numbers in the sample space are greater than 0, the probability is 6/6, which equals 1.

5. P(8): There's no outcome of 8 in the sample space, so the probability is 0.

6. P(Odd number): Probability of rolling an odd number is 3/6 (outcomes are 1, 3, and 5), which simplifies to 1/2.

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Answer:Irrational,2/9,22/100 11/50, Irrational, No Fraction Given, Perfect Square, Non-Perfect Square

Step-by-step explanation:Best fit options for each question.

Answer:  Ordinary Interest Method (360 Days)

Calculating Simple Interest using 360 days per year in time.

Time = Exact Number of Days

360

Since banks commonly use the ordinary interest method, it is known as the bankers rule.

Step-by-step explanation:

Answer:

2x^3 + 12x^2 + x - 12 - 3c is the most simplified version. hope this helps

Step-by-step explanation:

- Zombie