Identify the angle relationship of each pair of angles

Answer:

-36

Step-by-step explanation:

3*-12=-36

Answer: -36

Step-by-step explanation:

The probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

Given that the laptop is usable, we need to assess the probability that it has been tested. Let T stand for the laptop's testing event and F stand for the laptop's functioning event. The probability of T given F is what we are looking for next, or P(T|F).

The Bayes theorem can be used to determine P(T|F):

P(T|F) = P(F|T) * P(T) / P(F)

where P(F|T) is the probability that a laptop will be tested (which is 0.95), P(T) is the likelihood that a laptop will be tested, and P(F) is the likelihood that a laptop will be functional (which is the total of the likelihoods of being functional and defective, i.e., 0.95 + 0.05 = 1).

Using the conditional probability formula, we can determine P(F|T):

P(F|T) = P(F and T) / P(T)

Since 95% of the laptops produced are tested and determined to be functional, we know that the probability of a laptop being functional and tested is 0.95.

Therefore:

P(F|T) = 0.95 / 0.95 = 1

Substituting into Bayes' theorem:

P(T|F) = 1 * 0.95 / 1 = 0.95

Therefore, the probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

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Answer:

So if you have a 165 so the 5 is half of 10 so the 6 will got up but if you have 133 the three is lower then 5 so it would round down

Step-by-step explanation:

Answer:

Y=1/3(x-1)*2-4

Step-by-step explanation:

jus look at the answer bra

Answer:

12

Step-by-step explanation:

1:2:4

let josh=1x

james=2x

john=4x

josh has nine sweets less than john

4x-1x=9

3x=9

x=3

john's sweet=4x

4(3)=12

Answer:

6 and 16

Step-by-step explanation:

→ Find the most recurring number in sequence A

6

→ Find the most recurring number in sequence B

16

After solving the given expression the values for x will be equal to x = 1 and x = 13.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The given equation is,

(x - 7)² = 36

x - 7 = √36

x = ±6

Then the values for x will be,

x1 = 6 + 7 = 17

x2 = -6 + 7 = -1

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Answer:7/8

Step-by-step explanation:edededededededededededed

On solving the provided question we can say that the rectangular form of the equation is y = -1

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Ф = \(\pi\)/2

y = - 1

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X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.

A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.

The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.

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To answer this problem, we must utilize the information provided to calculate the number of round trips Spencer takes every week. Spencer commutes a total of 16 miles each week,

which translates to 8 miles to work and 8 miles home. We also know that he lives around a quarter mile from his employment.  the number of round trips Spencer takes every week. Spencer commutes a total of 16 miles each week, Thus we can create an equation to calculate the number of round trips he takes 8 = (4/5) * n where n is the number of trips Spencer takes. To find n, we can cross-multiply: 8 * 5 = 4 * n n = 20/4 n = 5 As a result,Spencer lives 4/5 mile. In one week, he commutes a total of 16 miles to and from work.  Spencer makes five round journeys to and from work each week.

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The total fluid force exerted on each vertically oriented porthole with a 3 ft diameter and a center located 50 ft underwater is approximately 28,274 pounds. The fluid force on a horizontally oriented porthole under 50 ft of water is also approximately 28,274 pounds.

The pressure at a given depth in a fluid is given by the equation P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth.

In this case, the depth of the vertically oriented porthole is 50 ft. We assume the density of water to be approximately 62.4 pounds per cubic foot, and the acceleration due to gravity is approximately 32.2 ft/s². Plugging these values into the equation, we can calculate the pressure at the depth of the porthole:

P = (62.4 lb/ft³) * (32.2 ft/s²) * (50 ft) = 100,080 lb/ft²

To find the fluid force exerted on the porthole, we need to multiply the pressure by the area of the porthole. The area of circle is given by the formula A = πr², where r is the radius of the circle. In this case, the radius is half the diameter, which is 1.5 ft. Thus, the area of the porthole is:

A = π * (1.5 ft)² = 7.07 ft²

Now, we can calculate the fluid force:

Fluid Force = Pressure * Area = 100,080 lb/ft² * 7.07 ft² ≈ 28,274 lb

Therefore, the total fluid force exerted on each vertically oriented porthole is approximately 28,274 pounds.

For the horizontally oriented porthole under 50 ft of water, the fluid force would be the same as the vertically oriented porthole.  Hence, the fluid force on the horizontally oriented porthole is also approximately 28,274 pounds.

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In this scenario, Firm B has the competitive advantage over Firm A. The reservation price represents the maximum price that a consumer is willing to pay for a product.

A higher reservation price indicates that consumers perceive more value in the product and are willing to pay a higher price for it.

Since Firm B's laptop has a reservation price of $1,200, compared to Firm A's reservation price of $1,000, it implies that consumers are willing to pay more for Firm B's laptop. This indicates that Firm B's laptop is perceived as having a higher value or quality by consumers.

Given that both firms produce the laptop at the same total cost, Firm B's higher reservation price indicates that it can potentially charge a higher price for its laptop while still remaining competitive in the market. This gives Firm B a competitive advantage over Firm A, as it has the opportunity to generate higher profits per unit sold or capture a larger market share by offering a product with a higher perceived value.

It's worth noting that other factors, such as marketing strategies, product features, brand reputation, and customer preferences, can also influence the competitive advantage between the two firms. However, based on the given information regarding the reservation prices, Firm B appears to have the competitive advantage in terms of consumer willingness to pay a higher price for its laptop.

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Step-by-step explanation:

the correct answer is option a 6a-7

In summary, the study employs a distribution, which is not explicitly mentioned, to model the 3-day flood volume, and it could be assumed that a normal distribution is used based on the values of the parameters provided. The parameters are μ = 12, σ = 6, and θ = 39, which represent the mean, standard deviation, and threshold value, respectively.

The distribution that is employed to model x, the 3-day flood volume, with a value of 108 m3, is not mentioned in your question.

However, given the values of the parameters provided, which are μ = 12, σ = 6, and θ = 39, it is possible to assume that a normal distribution might be used.

A normal distribution is a continuous probability distribution that is symmetric, bell-shaped, and characterized by two parameters, which are the mean (μ) and the standard deviation (σ).

The mean represents the central tendency of the distribution, while the standard deviation measures the spread or variability of the distribution.

Therefore, if the 3-day flood volume follows a normal distribution with a mean of 12 and a standard deviation of 6, it means that the most probable values of the flood volume are around 12, and the values become less probable as they deviate from 12.

The value of θ = 39 is not a parameter of the normal distribution.

However, it could represent a threshold value or a cutoff point beyond which the 3-day flood volume is considered to be hazardous or damaging.

In other words, if the volume exceeds 39 m3, it could have severe consequences such as flooding, erosion, or property damage.

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Answer:

1

Step-by-Step Explanation:

30° and 60° are angles of one of the standard triangles

sin (30°) = 1/2

cos(30°) = √3/2

sin(60°) = √3/2

cos(60°) = 1/2

So,

sin(60°) · cos(30°) + sin(30°) · cos(60°)

= (√3/2)(√3/2) + (1/2)(1/2) = 3/4 + 1/4

= 1

One of the conventional triangles' angles is 30 degrees and 60 degrees.

sin (30)= 1/2

cos (30)= √3/2

sin (60)= √3/2

cos (60)= 1/2

So, Sin (60)・cos (30) + sin (30) ・cos (60)

The addition of KN and IK is 1.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We have been given the number line of G H I J K L M N O

We need to find the addition; KN + IK

KN = 3

IK = -2

Then KN + IK = 3 - 2

KN + IK = 1

Therefore, the addition of KN and IK is 1.

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Answer:

Step-by-step explanation:

15*2=30

30/2=10

10 pizzas will evenly divide between 15 ppl and give each 2 slices with no extras.

Total number of pizzas will they order will be 10.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Here, it is given that :

A group of 15 people are ordering pizza each person wants 2 slices and each pizza has 3 slices.

Now, 15 person will eat = 15 x 2 = 30 slices of pizza

To Find the number of pizza divide total slice of pizza people wanted with slice per pizza :

number of pizza = 30/3 = 10 pizza.

Therefore, total number of pizzas will they order will be 10.

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The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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========================================================

Explanation:

Let L = 4x-2 be the length and W = 2x+1 be the width. The order of L and W doesn't matter.

The goal is to find the area = L*W

We could simply say L*W = (4x-2)*(2x+1) and be done. Though I have a feeling your teacher wants you to expand that out.

Let's do so

(4x-2)*(2x+1)

L(2x+1) .... replace "4x-2" with L

2xL + L .... distributive property

2x( L ) + 1( L )

2x( 4x-2 ) + 1(4x - 2) .... L replaced with 4x-2

2x*4x + 2x*(-2) + 1*4x + 1*(-2) .... distributive property twice more

8x^2 - 4x + 4x - 2

8x^2 - 2 is the final answer

Side note: you can use the FOIL rule or the box method as two alternatives to get the same answer.

The p-value (0.0251) is greater than the significance level (0.02), we fail to reject the null hypothesis. There is not sufficient evidence at the 0.02 level to dispute the company's claim.

To determine if there is sufficient evidence to dispute the company's claim, we can set up the following hypotheses:

Null hypothesis (H₀): The proportion of chips that fail in the first 1000 hours is equal to 49%.

Alternative hypothesis (H₁): The proportion of chips that fail in the first 1000 hours is not equal to 49%.

In symbols:

H₀: p = 0.49

H₁: p ≠ 0.49

Where:

p represents the true proportion of chips that fail in the first 1000 hours.

The significance level is given as 0.02, which means we want to test the hypotheses at a 2% level of significance.

Now, let's perform a hypothesis test using the provided sample data.

Given that the sample size is 1300 and the proportion of chips that fail in the first 1000 hours is found to be 46%, we can calculate the test statistic and p-value using the binomial distribution.

The test statistic follows an approximate standard normal distribution when the sample size is large. To calculate the test statistic, we need to compute the standard error (SE) of the sample proportion:

SE = √((p * (1 - p)) / n)

where n is the sample size.

SE = √((0.49 * (1 - 0.49)) / 1300)

≈ 0.0134

We can now calculate the test statistic (Z-score):

Z = (p sample - p) / SE

where p sample is the sample proportion and p is the proportion specified in the null hypothesis.

Z = (0.46 - 0.49) / 0.0134

≈ -2.2388

Using the standard normal distribution table or a statistical calculator, we find that the p-value corresponding to Z = -2.2388 is approximately 0.0251 (two-tailed test).

Since the p-value (0.0251) is greater than the significance level (0.02), we fail to reject the null hypothesis. There is not sufficient evidence at the 0.02 level to dispute the company's claim.

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The complete question is:

A sample of 1300 computer chips revealed that 46% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that 49% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to dispute the company's claim? State the null and alternative hypotheses for the above scenario.

Answer:

10%

The increase of her score would be 7 so 7 over 70 which would = to .10 and .10 as a percent is 10%.

Answer:

independent:x

Dependent:y

Range:5

Step-by-step explanation:

At this level all you need to know is x is independent y is dependent and range is max minus min.

The time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days

What is decay constant?

Decay constant k = ln(2) / half life

= ln(2) / 27.8

= 0.024933 day⁻¹

For first order decay:

ln(M / M₀)  = -kt

where M is mass remaining at time t and  M₀ is initial mass.

ln(0.700/5/75) = -0.024933 * t

Time, t = 99.4 days

Hence, time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days.

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Answer:

I can help you on question 4, and the only 2 I saw was <ZAY and <WAZ. I hope I at least helped with that one.

Step-by-step explanation:

Yes, you are correct that the order of the element gH in G/H trivially divides the order of g in G.

To prove this, note that the order of g in G is the smallest positive integer n such that g^n = e (the identity element of G). Therefore, if we consider the elements in the coset gH, we have (gH)^n = g^nH = eH, since H is normal in G.

This means that the order of gH in G/H is the smallest positive integer k such that (gH)^k = eH. But we know that (gH)^k = g^kH, so this means that the order of gH divides the order of g in G.

Therefore, we have shown that the order of gH in G/H divides the order of g in G, as desired.

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Answer:

  Emille's soccer team

Step-by-step explanation:

You want to know the higher win/loss ratio of Emille's 9/12 or Grant's 10/15.

One way to compare the fractions is to subtract one from the other:

  9/12 -10/15 = (9·15 -12·10)/(12·15) = (135 -120)/(12·15) = 1/12

This is a positive number, so the fraction 9/12 is higher.

Emille's team's win/loss ratio is higher because subtracting the win/loss ratio of Grant's team gives a positive result.

__

Additional comment

Grant's team's ratio reduces to 2/3, which can be expressed as 8/12. This is clearly lower than 9/12.

There are different consecutive ways that the flowers can be planted:

3,9,15,21 and so on.

Numbers that follow each other in a regular counting order or pattern are called consecutive numbers. They are written sequentially, where the difference between the numbers is fixed and no number in between is skipped.

Given that:

Roses plants in 1st, 2nd, row are:

3,9 ,.....

Since difference between consecutive terms is same:

It is an AP

We have to find number of row in the flower bed:

Lets assume there are n rows in the flowers bed.

We know that:

    aₙ = a + (n-1)d

and d = 9-3 = 6

Therefore, the next numbers can be:

3,9,15 ,21 ......

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