Which one of the following is a two-point form equation for the line (x, y, z) = (3, 2, -3)+(-2,2,-5). A (x, y, z) = (1 - t)(3,2, -3) + t(1,4,-8) B. (x, y, z) = (-2,2,-5) + t(3,2,-3) C (x, y, z) = (1 - t)(-2,2,-5) + t(3, 2, -3) D. (x, y, z) = (1 - t)(3, 2, -3) + t(-2,2,-5) E. (x, y, z) = (1 - t)(3,2, -3) + t(-5,0,-2) Reset Selection

The theoretical probability of rolling a number less than 2 is 1/6.

The theory underlying probability is called theoretical probability. It is not necessary to do an experiment in order to calculate the likelihood of an event using theoretical probability. Instead, we should be aware of the circumstances in order to determine the likelihood that an event will occur. The ratio between the number of favorable events and the total number of conceivable outcomes is known as the theoretical probability.

Number of favorable outcomes divided by Number of potential outcomes equals Probability of Event P(E).

The total number of outcomes that can be obtained when a six sided dice is rolled is:

1, 2, 3, 4, 5, 6 = 6 outcomes.

The probability of a number less than 2 is:

P (less than 2) = number of outcomes less than 2 / total outcomes

P (less than 2) = 1 /6

Hence, the theoretical probability of rolling a number less than 2 is 1/6.

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The distance from the point s(2,2,3) to the plane 2x+y+2z=4 is 3√3.


To calculate the distance, we need to solve for the point on the plane that is closest to the given point. We can do this by setting up a system of equations with the two equations being the equation of the plane and the equation of the line connecting the point to the plane.

The equation of the plane is 2x+y+2z=4 and the equation of the line connecting the point to the plane is x=2, y=2, z=3. Setting up the system of equations and solving, we get x=2, y=2 and z=2. Therefore, the point on the plane closest to the given point is (2,2,2).

Now, we can calculate the distance between the given point and the point on the plane. The distance is the length of the line connecting the two points, which is 3√3. Therefore, the distance from the point s(2,2,3) to the plane 2x+y+2z=4 is 3√3.

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Answer:

y=10(3/4)^x

10 and 3/4

Step-by-step explanation:

a) The value for the mean quiz is obtained as 15.25.

b) To get a mean score of 16 the score that Kirk should get in the upcoming quiz is 19.

What is mean?

In statistics, in addition to the mode and median, the mean is one of the metrics of central tendency. Simply put, the mean is the average of the values in the given collection. It indicates that values in a particular data collection are distributed equally. The three most frequently employed metrics of central tendency are the mean, median, and mode.

a) To find the mean quiz score, we add up the four scores and divide by 4 -

Mean = (15 + 14 + 16 + 16) / 4 = 15.25

Therefore, Kirk's mean quiz score is 15.25.

b) Let's call the score Kirk needs to get on the next quiz "x".

We know that Kirk's mean quiz score after the fifth quiz must be 16. So we can set up the following equation -

(15 + 14 + 16 + 16 + x) / 5 = 16

Now we can solve for x using the equation -

61 + x = 80

x = 19

Therefore, Kirk needs to get a score of 19 on the next quiz to have a mean quiz score of 16 points.

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Answer:

awdsadaw

Step-by-step explanation:

awdasdaw

Answer:

x=3

Step-by-step explanation:

Answer:

a) 15.52mm

b) 25.8275mm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left side of the curve. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, that is, the area to the right side of the curve.

A) What wing-span has an area of 0.1005 on it left side under the standard normal curve?

This is X when Z has a pvalue of 0.1005. So it is X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.28 = \frac{X - 20}{3.5}\)

\(X - 20 = -1.28*3.5\)

\(X = 15.52\)

This wing-span is 15.52mm.

B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?

This is X when Z has a pvalue of 1 - 0.0480 = 0.9520. So this is X when Z = 1.665.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.665 = \frac{X - 20}{3.5}\)

\(X - 20 = 1.665*3.5\)

\(X = 25.8275\)

This wing-span is 25.8275mm.

Answer:

the slope is 3 3 .

Step-by-step explanation:

Answer:

\(y=2x-1\)

Step-by-step explanation:

From the question we are told that

equation has a solution (-3,7)

Generally which means solution pass this point

Mathematically solving for slope and intercept

     \(y=mx +b\)

     \(7=m(3) +b\)

     \(b=7-3m\)

Generally we assume a slope as slope intercept pair a numerous

     \(m=2\)

Mathematically solving

     \(b=7-3m\)

     \(b =7-3(2)\)

     \(b =1\)

Giving the equation to be

     \(y=2x-1\)

To prove the given trigonometric identity: \(cot(x+y) = )\frac{(cot(x)cot(y) - 1) }{(cot(x) + cot(y)}\), we can use the definition of cotangent and some trigonometric identities.

Recall that \(cot(x) = \frac{1}{tanx}\) and \(tan(x) = \frac{sin(x)}{cos(x)}\).
First, let's find the\(tan(x+y)\)using the angle sum formula for tangent:
\(tan(x+y)=\frac{(tan(x) + tan(y))}{ (1 - tan(x)tan(y))}\)
Now, substitute cot(x) and cot(y) using the definition of cotangent:
\(tan(x+y) =\frac{ (1/cot(x) + (1/cot(y)}{(1 - (1/cot(x))(1/cot(y))}\)
To simplify the expression, find the common denominator for the numerators:
\(tan(x+y) = \frac{ (cot(x)cot(y) + cot(x) + cot(y)) }{cot(x)cot(y) - 1}\)
Now, take the reciprocal of both sides to get \(cot(x+y)\)
\(cot(x+y) =\frac{ (cot(x)cot(y) - 1)}{ (cot(x) + cot(y))}\)
So, we have proven that \(cot(x+y) = \frac{ (cot(x)cot(y) - 1)}{ (cot(x)cot(y) - 1)}\)

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Given:

Ratio of tulips to roses = 2:1

Total number of flowers = 18

To find:

The number of tulips.

Solution:

Let the number of tulips and roses are 2x and x respectively.

According to the question,

\(2x+x=18\)

\(3x=18\)

Divide both sides by 3.

\(x=\dfrac{18}{3}\)

\(x=6\)

Now,

Number of tulips \(=2(6)\)

                           \(=12\)

Therefore, the number of tulips is 12.

Answer:

Adjacent angles.

Step-by-step explanation:

a and b are next to each other on a straight line.

A chronic cough and chest pain that Henry has developed as he worked for the restoration of old buildings due to exposure to volatile organic compounds asbestos ammonia are symptoms of an illness called Silicosis.

Silicosis is a long-term lung disease generated by inhaling large amounts of crystalline silica dust, generally over many years. Silica is a substance naturally formed in certain types of stone, rock, sand and clay. Working with these materials may develop a very fine dust which can be easily inhaled.

This illness generates when a construction worker breathes in silica particles, that can penetrate into the lungs and cause inflammation and scarring. In most cases, treatment for silicosis is focused at alleviating the symptoms, such as a chronic cough, shortness of breath, and chest pain.

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When giving a sales presentation based on performance statements and charts,trend analysis,outperformance,volatility,consistency,historical and relative  Performance observations may a registered representative.

When giving a sales presentation based on performance statements and charts, a registered representative may make the following observations:

Trend Analysis: The representative may analyze the trend of performance over time, noting if it is consistently improving, declining, or fluctuating.

Outperformance: The representative may highlight instances where the investment or product being presented has outperformed relevant benchmarks or competitors.

Volatility and Risk: The representative may comment on the volatility or risk associated with the investment based on the performance statements and charts.

Consistency: The representative may note if the investment's performance has been consistent over time or if there are periods of significant fluctuations.

Historical Performance: The representative may discuss the investment's historical performance, comparing it to previous periods or market conditions.

Relative Performance: The representative may compare the investment's performance to similar investments or industry averages.

The observations made by a registered representative should be based on accurate and reliable data, and any claims or statements should comply with relevant regulations and disclosures.

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Answer:

80

Step-by-step explanation:

Because, when you subtract 180 to 100 and you get 80

When multiplying fractions, multiply the numerator (top number), then the denominator (bottom number), and finally reduce to the lowest term if necessary.

Fractions are subsets of wholes. They are made up of a numerator (the number on top) and a denominator (the number on the bottom). The numerator represents the number of parts, while the denominator represents the total number of available parts.

To multiply two fractions, follow these three simple steps:

Step 1: Multiply the numerators of each fraction by themselves (the numbers on top). The answer's numerator is the result.

Step 2: Add the denominators of each fraction together (the numbers on the bottom). The answer's denominator is the result.

Step 3: Simplify or reduce your response.

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Answer:

Metric

"Metric" means a unit, or measurement.

Hope this helps, have an awesome day! ♣

Can I have brainliest?

Answer:

c) 27.9

Step-by-step explanation:

Since MN is the midsegment ,

MN = (AB + CD)/2

21.1 = (AB + 14.3)/2

21.1*2 = AB + 14.2

AB = 42.2 - 14.2

AB = 27.9

Answer:

C

Step-by-step explanation:

the midsegment is equal to half the sum of the parallel bases, that is

\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )

\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )

AB + 14.3 = 42.2 ( subtract 14.3 from both sides )

AB = 27.9 cm

Answer:

the correct answer choice would be choice C. or 2√2

Step-by-step explanation:

I have the same assignment in odyssey and other brainly user helped me solve this answer :)

have a nice day!

-cherry  

Answer:

2√2

Hello, the answer to your question would be the above.

Please disregard the user who stated otherwise, the assignment does not ask for a decimal, it only asks for the geometric mean.

Hope this helps.

Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft

The situation forms a right angle triangle.

Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.

Therefore, the height of the kite form the ground can be found as follows;

sin 33° = opposite / hypotenuse

sin 33° = h / 75

cross multiply

h = 75 × sin 33

h = 40.8479276261

h = 40.84

The height of kite from ground = 40.847 + 3.5  = 44.3479276261 = 44.85 ft

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Answer:

44.35

Step-by-step explanation:

i did it

Answer:

y = 4

Step-by-step explanation:

y - 1 = √y + 5

(y - 1)² = y + 5 (Square both sides)

y² - 2y + 1 = y + 5 (Expand left side)

y² - 3y - 4 = 0 (Subtract y and 5 from both sides)

(y + 1) (y - 4) = 0 (Factor)

y = -1, 4 (Use ZPP)

When we check y = -1 we see that it is not a solution so the answer is y = 4.

Answer:

is 58

Step-by-step explanation:

Answer: there are 2 answers

Step-by-step explanation:  

They are equal, and thus, the triangle is a right triangle. ... When the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.

Answer: 8 hours

Step-by-step explanation:  240 mph ÷ 30 = 8 hours

\(a.(x - 4)(x - 9) = x {}^{2} - 9x - 4x - 36 = x {}^{2} - 3x - 36\)

Answer:

Daniel will save $1.18

Step-by-step explanation:

First, find the cost of the name-brand flour with the coupon:

Subtract 1.44 from the original price of 9.12:

9.12 - 1.44

= 7.68

So, the price of the name-brand flour with the coupon is $7.68

Now, find how much he will save by finding the difference between this price and the price of the store brand flour:

8.86 - 7.68

= 1.18

So, Daniel will save $1.18

2.5 + 3 = 5.5 total speed

7miles / 5.5 mph = 1.27 hours

Answer:

1.27 hours

Step-by-step explanation:

The first step in this process would be adding both rates of Leila and Han together. We know Leila walks at 2.5 miles per hour and Han at 3 miles per hour.

\(2.5 + 3 = 5.5\)

We got our sum as 5.5, so now we must complete Step 2, which is the final step. We must divide 7 by 5.5.

\(7 / 5.5 = 1.2727...\)

1.2727 ≈ 1.27

the answer to the Question is 1.27 hours.

The evidence does not strongly support the claim that women with above-average looks earn significantly more than women with average looks.

To understand the findings, we need to discuss a few key concepts. First, let's clarify the null hypothesis (H0) and the alternative hypothesis (H1). In this case, the null hypothesis states that there is no relationship between physical appearance and income (β2 = 0), while the alternative hypothesis suggests that there is a relationship (β2 ≠ 0).

In this scenario, the one-sided p-value of 0.272 means that there is a 27.2% chance of observing a relationship between physical appearance and income as strong or stronger than what was found in the study, purely by chance, if there is actually no relationship (β2 = 0). Since this p-value is relatively high (greater than the commonly used threshold of 0.05), it implies weak evidence against the null hypothesis.

Therefore, based on the given information, the evidence does not provide sufficient statistical support to reject the null hypothesis that there is no relationship between physical appearance and income (H0: β2 = 0).

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