Find m_ABD and mZCBD given m ABC = 77º. A (3x + 22) D 16 (5x - 17) B C mZ ABD |° and mZCBD​

Answer:

30

Step-by-step explanation:

1L=1000

6L=?

6×1000= 6000ML

a soup can hold 200ML

6000/200

= 30

Step-by-step explanation:

Jaden has made a total of 6000 ML (6 L x 1000 ML/L = 6000 ML) of corn soup.

To find out how many bowls he can fill, we need to divide the total amount of soup by the amount of soup that can fit in one bowl.

6000 ML ÷ 200 ML/bowl = 30 bowls

Therefore, Jaden can fill 30 bowls with his 6 L of corn soup.

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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Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

three tries so your demonater is 3, 1 chance so numerator 1

Answer:

Option B will be your answer

Step-by-step explanation:

hope it helps you

have a great day!!!

Answer:

y=3/5x+3

Step-by-step explanation:

y-y1=m(x-x1)

y-0=3/5(x-(-5))

y-0=3/5(x+5)

y=3/5x+15/5

y=3/5x+3

The statement "defects are additive in a multi-step manufacturing process" is generally false.

It depends on the type of defects and the specific manufacturing process. In general, defects are not necessarily additive in a multi-step manufacturing process.

Some defects may be additive, meaning that they can accumulate or worsen as the manufacturing process progresses. For example, if a part is slightly out of tolerance in one step of the process, subsequent steps may exacerbate the deviation, leading to a larger defect in the final product.

On the other hand, some defects may be independent or even compensatory, meaning that they do not accumulate or cancel each other out as the process progresses. For example, if one step of the process introduces a defect in one dimension of a part, another step may correct the defect in another dimension, resulting in a final product that meets specifications.

Therefore, the statement "defects are additive in a multi-step manufacturing process" is generally false, as it depends on the specific types of defects and the manufacturing process being considered.

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The statement "defects are additive in a multi-step manufacturing process" is generally false.

It depends on the type of defects and the specific manufacturing process. In general, defects are not necessarily additive in a multi-step manufacturing process.

Some defects may be additive, meaning that they can accumulate or worsen as the manufacturing process progresses. For example, if a part is slightly out of tolerance in one step of the process, subsequent steps may exacerbate the deviation, leading to a larger defect in the final product.

On the other hand, some defects may be independent or even compensatory, meaning that they do not accumulate or cancel each other out as the process progresses. For example, if one step of the process introduces a defect in one dimension of a part, another step may correct the defect in another dimension, resulting in a final product that meets specifications.

Therefore, the statement "defects are additive in a multi-step manufacturing process" is generally false, as it depends on the specific types of defects and the manufacturing process being considered.

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To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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When a nonlinear system of equations contains one linear function that touches the quadratic function at its maximum, then the system has one solution

A system of equations is considered nonlinear if it contains at least one nonlinear equation. One linear function in a nonlinear system of equations touches the quadratic function at maximum. It illustrates one solution.

The given system of equation is presented as follows;

Linear function: f(x) = mx + c

Quadratic function: f(x) = ax² + bx + c

It should be noted that given that the linear function touches the quadratic function at maximum we have;

ax² + bx + c = 0

Therefore, if a nonlinear system of equations contains one linear function that touches the quadratic function at its maximum has one solution.

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Answer:

3 1/4

Step-by-step explanation:

HOPE THIS HELPED!!!!!! <3

The total cost incurred per month for renting apartment 3 is $2,150 and the apartment with the highest total cost per month is apartment 4, so the answer is 4.

To find the total cost incurred per month if Ryan rents apartment 3, we need to calculate the monthly rent and the commuting cost:

Monthly rent for apartment 3 = $2,000

Commuting cost for apartment 3 = 10 hours/month × $15/hour = $150

Total cost incurred per month for apartment 3 = $2,000 + $150 = $2,150

Therefore, the answer is C) $2,150.

To find the apartment that has the highest total cost per month, we need to calculate the total cost for each apartment by adding the monthly rent and commuting cost:

Apartment 1: $1,500 + 40 hours/month × $15/hour = $2,100

Apartment 2: $1,750 + 20 hours/month × $15/hour = $2,050

Apartment 3: $2,000 + 10 hours/month × $15/hour = $2,150

Apartment 4: $2,210 + 4 hours/month × $15/hour = $2,270

Apartment 5: $2,250 + 1 hour/month × $15/hour = $2,265

Therefore, the apartment with the highest total cost per month is apartment 4, so the answer is C) 4.

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Answer:

44 units² or 44 units squared

There really isn't a preference of units, like inches or meters, so you can add that in.

Step-by-step explanation:

Haha, this is what we're doing in class!

Okay, so the formula for a trapezoid is A= ½ (b1+b2) h

14= b1

8= b2

Add them... You get 22. Multiply that by the height, which is 4. You should get 88. Then divide by 2. You should get 44.

Here's some helpful notes:

I hope this was helpful!

Since the researcher is merely observing and comparing existing groups without any manipulation or intervention, this study is classified as an observational study.

In an observational study, the researcher observes and collects data on existing groups or individuals without intervening or manipulating any variables. In this case, the researcher selected two groups of grocery shoppers (one group shopping at a health food supermarket and the other at a neighborhood grocery store) and observed their food costs over a month. The researcher did not control or manipulate any factors or assign participants to specific groups.

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Answer: the answer is -32

Step-by-step explanation: multiply -2 by itself 5 separate times.

Answer:

-32

Step-by-step explanation:

-2×-2×-2×-2×-2=4×4×-2

=-32

Answer: 7/4.

Step-by-step explanation: To find the slope of a line, one must use the formula (y2-y1)/(x2-x1). In this case y2 is 2, y1 is -5, x2 is 4, and x1 is 0. We can plug this into the equation to get 7/4.

Answer:

33 chocolates

Step-by-step explanation:

3 chocolates times 5 days = 15 chocolates

48 chocolates minus 15 chocolates = 33 chocolates

The angle between the vectors a and b is approximately 48 degrees.

To find the angle between two vectors a and b, we can use the formula:

cos θ = (a · b) / (|a| |b|)

where a · b is the dot product of a and b, and |a| and |b| are the magnitudes of a and b, respectively.

First, let's find the dot product of a and b:

a · b = (i)(4) + (2j)(0) + (-2k)(-3) = 4 + 6 = 10

Next, let's find the magnitudes of a and b:

|a| = √(1^2 + 2^2 + (-2)^2) = √9 = 3

|b| = √(4^2 + 0^2 + (-3)^2) = √25 = 5

Substituting these values into the formula for cos θ, we get:

cos θ = 10 / (3 * 5) = 2/3

To find the angle θ, we can take the inverse cosine (cos^-1) of 2/3:

θ = cos^-1(2/3) = 48.19 degrees

Therefore, the angle between the vectors a and b is approximately 48 degrees.

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Answer: multiple of sum 2+5

Step-by-step explanation:

18/9=2

45/9=5

2+5=7

18+45=63

63/7=9

2+5

Answer:

C?

Step-by-step explanation:

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

-------------------

Use slope equation:

Substitute coordinates and solve for n:

The probability of that the first 40 feet in a roll contain no flaws is ≈ .3012

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Θ = μ = \(\frac{100 foot}{3 flaws}\)

a ) We assume that the length until the first flaw follows an exponential distribution.

Probability density function of exponential distribution:

f(x) = \(\frac{1}{Θ} e^{\frac{-x}{Θ} } = \frac{1}{100/3}e^{-x/(100/3)} = \frac{3}{100}e^{-3x/100}\)

The first 40 feet in a roll of 100 feet contain no flaws if the first flaw occurs after 40 feet.

The probability is the integral over the corresponding interval:

the further calculation has been shown in fig. attached

since equation was not possible to write here

b) We assume that the length until the first flaw follows an exponential distribution.

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Answer:

85%

Step-by-step explanation:

900-6000 divided by 6000

multiply your answer by 100

that will give you your answer

We have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10.

To quantify the probability of each event, we can define the following events:

Then, the probability of event A is 1/5, since 1 in every 5 units of product A is defective. Similarly, the probability of event B is 1/10, since 1 in every 10 units of product B is defective.

Now, let's consider a scenario where the company receives an order for 100 units of products, with 60 units of product A and 40 units of product B. The company wants to determine the probability of the following events:

To calculate the probability of event C, we need to consider the probability of selecting a defective unit from product A and from product B, and the proportion of each product in the order. Since the order has 60 units of product A and 40 units of product B, the probability of selecting a unit of product A is 60/100 = 3/5, and the probability of selecting a unit of product B is 40/100 = 2/5.

Using the probabilities of event A and event B, we can calculate the probability of selecting a defective unit from product A or from product B as follows:

Therefore, the probability of event C can be calculated as follows:

P(C) = P(A) * P(A in order) + P(B) * P(B in order)

= (1/5 * 3/5) + (1/10 * 2/5)

= 3/25

So the probability of selecting a defective unit from the order is 3/25.

To calculate the probability of event D, we can use the complement rule, which states that the probability of an event and its complement (i.e., the event not happening) add up to 1. Therefore, the probability of event D can be calculated as follows:

P(D) = 1 - P(C)

= 1 - 3/25

= 22/25

So the probability of selecting a unit from the order at random and finding that it is not defective is 22/25.

In summary, we have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10. We have also calculated the probability of two other events (event C and event D) in a scenario where a manufacturing company produces two types of products, with different probabilities of defects, and receives an order with a certain proportion of each product.

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Using the inequality, the school will need $ 146 in order for each student to have a hamburger

If this is the inequality:

124 + x ≥ 270

1) deduct 124 from both sides

124 + x - 124 ≥ 270 - 124

x ≥ 146

x can be 146 and below because the inequality sign states x is less than or equal to 146.

The school needs an additional maximum amount of 146 in order for each student to have a hamburger.

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The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

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Answer:

  x = 2.5

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is 360°.

  120° +55° +65° +40° +(32x)° = 360°

  32x = 80 . . . . . divide by °, subtract 280

  x = 2.5 . . . . . . divide by 32

There are 24 possible four-letter sequences using the letters b, r, j, and w once each.

To find out how many four-letter sequences are possible using the letters b, r, j, and w once each, we can use the formula for permutations of n objects taken r at a time, which is:

P(n,r) = n! / (n-r)!

In this case, n = 4 (since there are 4 letters to choose from) and r = 4 (since we want to choose all 4 letters). So we can plug in these values and simplify:

P(4,4) = 4! / (4-4)!
P(4,4) = 4! / 0!
P(4,4) = 4 x 3 x 2 x 1 / 1
P(4,4) = 24

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The sampling variability can be reduced by increasing the sample size. Hence, it is essential to ensure that a large enough sample size is used to obtain reliable estimates of population parameters.

Parameter and statistic: Parameter is a value that describes the population, while statistic is a value that describes a sample.

Parameters are usually represented using Greek letters, while statistics are usually represented using Roman letters. In other words, a parameter is a population characteristic, whereas a statistic is a sample characteristic.

P and p hat: P represents the true proportion of a population with a particular attribute, while p hat represents the proportion of a sample with that attribute. P hat is an estimate of the true proportion p, which may differ from the actual proportion due to sampling error.

Sampling variability: Sampling variability is the variation in sample statistics that occurs from sample to sample. It is the result of the fact that different samples of the same size drawn from the same population will produce different estimates of the population parameter due to random sampling error. The sampling variability can be reduced by increasing the sample size. Hence, it is essential to ensure that a large enough sample size is used to obtain reliable estimates of population parameters.

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