8.
1
The true conditional statement, "If - (m_ABC) = m_ABD, then m ZABC = 2(m_ABD)."
2
illustrates which property of equality?
O Addition Property of Equality
O Subtraction Property of Equality
O Multiplication Property of Equality
O Division Property of Equality

Answer : 5

Step-by-step explanation:

The largest integer is 10.

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero.

Let the three integers be a,b, and c.

Given that, the sums of each distinct pair of integers are 6, 8, and 18, therefore,

a + b = 6                   (1)

b + c = 8                   (2)

c + a = 18                  (3)

Subtract equation (1) from equation (2):

c - a = 2

Add the above equation and equation (3):

2c = 20

c = 10

Substitute c = 10 into equation (3):

10 + a = 18

a = 8

Substitute a = 8 into equation (1):

8 + b = 6

b = -2

Therefore, the three integers are 8, -2, 10.

Hence, the largest integer is 10.

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Answer:

600

Step-by-step explanation:

There are different ways to approach this question, but one possible method is to conduct a one-sample t-test using the formula t = (M - μ) / (s / sqrt(n)), where M is the sample mean, μ is the population mean (null hypothesis), s is the sample standard deviation, and n is the sample size. With the given information, the t-value is (1.6 - 0) / (0.8 / sqrt(16)) = 8.

The degrees of freedom is n - 1 = 15. Using a t-table or a calculator, the p-value for a one-tailed test with 15 degrees of freedom and a t-value of 8 is much smaller than .05 (e.g., < .0005). Therefore, we can reject the null hypothesis and conclude that women find a sense of humor to be important in a long-term relationship at a .05 level of significance. The correct answer is b.

Test 2 is associated with smaller critical values. The critical values for a t-test depend on the level of significance, the degrees of freedom, and whether the test is one-tailed or two-tailed. In general, a smaller level of significance or a larger sample size leads to smaller critical values (i.e., it becomes easier to reject the null hypothesis). Since Test 2 has a larger sample size than Test 1, it is more likely to detect a significant effect (i.e., have a smaller Type II error rate), and therefore requires smaller critical values to achieve a .05 level of significance. The correct answer is b.

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The measure of angle x is 77 degrees.

We have two angles given: 65 degrees and 38 degrees. Let's call the measure of angle x as "x".

From the information, we have the measure of the missing angle of the angles in a triangle are 38°, 65° and x. Then we can set up an equation:

x + 65 + 38 = 180 (the sum of the measures of the angles in a triangle is 180)

Simplifying this equation, we get:

x + 103 = 180

x = 77

Therefore, the measure of angle x is 77 degrees.

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Complete question

Find the measure of the missing angle of the angles in a triangle are 38°, 65° and x.

Answer:

C

Step-by-step explanation:

A<B<D do not make sense

2i

−4

+3i

=

5

2

i

Step-by-step explanation:

i think it helps

Answer:

\(\frac{6}{25}\) - \(\frac{8}{25}\) i

Step-by-step explanation:

Assuming you mean

\(\frac{2i}{-4+3i}\)

To simplify, rationalise the denominator

Multiply the numerator/ denominator by the conjugate of the denominator

The conjugate of - 4 + 3i is - 4 - 3i , then

= \(\frac{2i(-4-3i)}{(-4+3i)(-4-3i)}\) ← expand numerator and denominator

= \(\frac{-8i-6i^2}{16-9i^2}\) [ note that i² = - 1 ]

= \(\frac{-8i+6}{16+9}\)

= \(\frac{6-8i}{25}\)

= \(\frac{6}{25}\) - \(\frac{8}{25}\) i ← in standard form

It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

The most accurate interpretation of the given confidence interval is as follows:

We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.

This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.

Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

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To factor quadratics with leading coefficients other than 1, you can follow these steps:

Check your factoring by expanding the factored form to see if it simplifies back to the original quadratic equation.

Remember that factoring quadratics with leading coefficients other than 1 may involve more complex algebraic techniques, and in some cases, the quadratic equation may not factor easily. In such cases, you can resort to using the quadratic formula to find the roots of the equation.

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The cost of each ticket for the basket ball game is 8 dollars.

Given that, for the first home basketball game, 652 tickets were sold for a total revenue of $5216.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Cost of each ticket = Total revenue/Number of tickets

Cost of each ticket = 5216/652

Cost of each ticket = $8

Therefore, the cost of each ticket for the basket ball game is 8 dollars.

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True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.

Given:

X ~ Exponential(λ), with mean 1 (λ = 1)

Y ~ Uniform(0, X), for 0 < y < x

To find the joint PDF, we first need to express the PDFs of X and Y.

PDF of X:

fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)

PDF of Y:

fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])

Now, we can find the joint PDF by multiplying these individual PDFs:

fx.x (x, y) = fX(x) * fY(y|x)

Substituting the PDFs:

fx.x (x, y) = (λ * exp(-λx)) * (1 / x)

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x

Therefore, the fully specified joint PDF of X and Y is:

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

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The product of the expression in scientific notation is expressed as 6.45 * 10^-9

The standard scientific notation is expressed as:

A * 10^n

A is any value between 1 and 10

n is any integer

Given the product

(4.3 x 10-7)(1.5 x 10-3)

= (4.3 * 1.5)(10^-7 * 10^-3)
= 64.5 * 10^-10
= 6.45 * 10^-9

Hence the product of the expression in scientific notation is expressed as 6.45 * 10^-9

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If simplify it would be -15 + 12i

Answer:

If the X in the middle is shown as multiplication, then the answer is -15 + 12i

EQUATION: (6 + 2iX6 - 21)

STEP 1:

SPLIT UP THE COMMON FACTORS

STEP 2:

SOLVE AS SHOWN

STEP 3:

ADD EVERYTHING TOGETHER

The probability that the two they choose will consist of each of their favorite flavors is equals to the 0.001282.

We have logan and john have a jelly bean collection. Total number of jelly bean flavors that they have = 40

They randomly select two flavors. We assume that they have different favourite flavours. That is they choose two beans of their favourite flavours.

Therefore, total number of ways to choose 2 jelly beans out of total 40 jelly beans = ⁴⁰C₂

= 40!/2!( 40 - 2)!

= 40!/38!2!

= 40×39/2

= 20 × 39 = 780

Total number of ways to choose exactly 2 jelly beans which consists their favourite flavours

= ²C₂ = 1

So, the probability that the two they choose will consist of each of their favorite flavors = total no. of favourable outcomes/total possible outcomes

= 1/780

= 0.00128205128

Hence, required probability is 0.001282.

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Answer:

8.5

Step-by-step explanation:

Answer:

it's going to be 8.5 for the answer

a) The 90% confidence interval for the population mean is approximately (21.52, 23.48).

b) The 95% confidence interval for the population mean is approximately (21.322, 23.678).

c) The 99% confidence interval for the population mean is approximately (20.926, 24.074).

To develop confidence intervals for the population mean, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

where the standard error is equal to the sample standard deviation divided by the square root of the sample size.

a) For a 90% confidence interval, we need to find the critical value corresponding to a confidence level of 90%. The critical value can be obtained from the t-distribution table with (n-1) degrees of freedom. Since the sample size is 56, the degrees of freedom is 56-1 = 55.

From the t-distribution table, the critical value for a 90% confidence interval with 55 degrees of freedom is approximately 1.671.

The standard error can be calculated as:

Standard Error = sample standard deviation / sqrt(sample size)

Standard Error = 4.4 / sqrt(56)

Standard Error ≈ 0.5882

Now we can calculate the confidence interval:

Confidence Interval = 22.5 ± (1.671 * 0.5882)

Confidence Interval = 22.5 ± 0.9816

Confidence Interval ≈ (21.52, 23.48)

b) For a 95% confidence interval, the critical value for 55 degrees of freedom is approximately 2.004 (obtained from the t-distribution table).

Standard Error = 4.4 / sqrt(56) ≈ 0.5882

Confidence Interval = 22.5 ± (2.004 * 0.5882)

Confidence Interval = 22.5 ± 1.178

Confidence Interval ≈ (21.322, 23.678)

c) For a 99% confidence interval, the critical value for 55 degrees of freedom is approximately 2.678 (obtained from the t-distribution table).

Standard Error = 4.4 / sqrt(56) ≈ 0.5882

Confidence Interval = 22.5 ± (2.678 * 0.5882)

Confidence Interval = 22.5 ± 1.574

Confidence Interval ≈ (20.926, 24.074)

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Answer:

The length of the side DE is approximately 541.3 feet long.

Step-by-step explanation:

There is a trigonometry law called the law of sines, which states the sine of an angle divided by its opposite side is equivalent to the sine of all the other angles in that right triangle divided by its corresponding opposite side. You can use this law to help you solve for x. By applying the law of sines, you'll get that \(\frac{sin(90^{o})}{x} =\frac{sin(10^{o})}{94}\) ⇒ \(\frac{x}{sin(90^{o})} =\frac{94}{sin(10^{o})}\) ⇒ \(x = \frac{94*sin(90^{o})}{sin(10^o)}\) ⇒ \(x=541.3ft.\)

The equivalent expression to the given fraction is, \(\frac{x+3}{x}\).

What is simplifying an expression?

Expression reduction To reduce an expression, it must be given in its most basic form. Using addition or subtraction, we collect (combine) similar phrases to do this. Any number of comparable terms can be added or removed. The word "likely terms" refers to terms that do not share the same variables.

Given:

Start fraction x over x minus 3 end fraction divided by start fraction x squared over x squared minus 9 end fraction.

Convert the above into mathematical expression,

⇒

\(\frac{(\frac{x}{x-3} )}{(\frac{x^2}{x^2-9} )}\)

Using: \(\frac{(\frac{a}{b} )}{(\frac{c}{d} )} = \frac{a}{b} (\frac{d}{c})\)

The above expression becomes,

\(\frac{x}{x-3}(\frac{x^2-9}{x^2})\)

Simplifying,

Here, x^2 - 9 = (x - 3)(x + 3)

⇒

\(= \frac{1}{x-3}(\frac{(x-3)(x+3)}{x} \\= \frac{x+3}{x}\)

Hence, the simplified form of the given expression is, .\(\frac{x+3}{x}\)

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Answer: B, C, D, & E

Answer:

The answer is 0.12

Answer:0.12

Step-by-step explanation:

Please brainliest! :D

Step-by-step explanation:

In a parallelogram, opposite sides are equal and parallel. Therefore,

QT = PS = 3y ...(1)

PT + TR = PS

y + 2x + 1 = 3x + 9

2x - y = 4 .....(2)

PR = QT = 3y

PR = SQ = 3x + 9 ....(3)

From equations (1) and (3), we can see that:

3y = 3x + 9

y = x + 3

Substitute this value of y in equation (2):

2x - (x + 3) = 4

x = 7

To find the value of y, we can substitute x = 7 in equation (2):

2(7) - y = 4

y = 10

Therefore, x = 7 and y = 10.

To find the lateral and surface area of a rectangular prism with dimensions of 15 cm, 8 cm, and 9.2 cm, we need to use the formulas for lateral area and surface area. The surface area of the rectangular prism is 668.8 cm².

The lateral area is the sum of the areas of the four sides of the prism. Since the sides of the prism are all rectangles, we can use the formula for the area of a rectangle, which is length times width. The length and width of the four sides are:
- 15 cm by 8 cm
- 15 cm by 9.2 cm
- 8 cm by 9.2 cm
- 8 cm by 9.2 cm

Adding up the areas of these four rectangles, we get:
15 cm x 8 cm + 15 cm x 9.2 cm + 8 cm x 9.2 cm + 8 cm x 9.2 cm = 428.8 cm²
So the lateral area of the rectangular prism is 428.8 cm².
To find the surface area, we need to add the area of the top and bottom faces of the prism to the lateral area. The area of each face is simply the length times the width. So:

- Top face: 15 cm x 8 cm = 120 cm²
- Bottom face: 15 cm x 8 cm = 120 cm²
Adding the lateral area to the top and bottom faces, we get:
428.8 cm² + 120 cm² + 120 cm² = 668.8 cm²

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Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

The mathematical method of handling imprecise or subjective information is fuzzy logic.What is the mathematical method of handling imprecise or subjective information?The mathematical method of handling imprecise or subjective information is fuzzy logic. It is a form of reasoning that allows for the management of approximate, subjective, or ambiguous information to be carried out using a mathematical model. It is a soft computing technique that uses artificial intelligence to model uncertainty and imprecision in data. Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

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Answer:

fhjunghkolghjkolipjhbvghkli

Answer:

Step-by-step explanation:

Answer:

A or the first answer is correct

Step-by-step explanation:

3650 - 2000 = 1650

1650 / (divided by) 150 = 11

you can also check your work by doing 150 *(times) 11 = 1650

1650 + 2000 = 3650

Answer:

One is wrong so double check

Step-by-step explanation:

The first factor of the expression has a degree of 2.

The second factor has a degree of 3.

The third factor has a degree of 2.

The product has a degree of 7.

\((a^{2} ) (2a^{3} )(a^{2}-8a+9)\)

The given expression of this problem is:

The degree of an expression is deduct by the exponent of each power.

So, the first factor of the expression has a degree of 2, because that's the exponent.

The second factor has a degree of 3.

The third factor has a degree of 2.

Now, to know the degree of the product, we have to solve the expression, and see what is the degree of the resulting polynomial expression:

\((a^{2})(2a^{3})(a^{2} -8a+9)\)

\(2a^{5} (a^{2} -8a+9)\)\(\\2a^{7} -16a^{6}+18a^{5}\)

so, as you can see, the product has a degree of 7.

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