Given lines
�
,
�
,
l,m,and
�
n are parallel and cut by two transversal lines, find the value of
�
x. Round your answer to the nearest tenth if necessary.

Answer:

7

Step-by-step explanation:

7/12 of 12

7/12 × 12

7/1 × 1

= 7

Answer:

The answer for M should be 28 because 28 plus 4 is 32 and if you take 5 away from it it will be 27 so M equals 28 ( I hope this helps. )

To find the probability P(x ≤ 1) using the Poisson formula, we need to use the given value of λ, which is 4.

The Poisson formula is P(x) = (e^(-λ) * λ^x) / x!, where e is Euler's number (approximately 2.71828), and x! denotes the factorial of x.

To find P(x ≤ 1), we need to calculate P(x=0) and P(x=1), and then add these probabilities together.

1. Calculate P(x=0):
  P(x=0) = (e^(-4) * 4^0) / 0! = (e^(-4) * 1) / 1 = e^(-4)

2. Calculate P(x=1):
  P(x=1) = (e^(-4) * 4^1) / 1! = (e^(-4) * 4) / 1 = 4e^(-4)

3. Add the probabilities together:
  P(x ≤ 1) = P(x=0) + P(x=1) = e^(-4) + 4e^(-4)

Now, let's calculate the value of P(x ≤ 1) using the given formula:

P(x ≤ 1) = e^(-4) + 4e^(-4)

Using a calculator, we find that P(x ≤ 1) is approximately 0.0183 (rounded to four decimal places).

The short answer is that P(x ≤ 1) is approximately 0.0183.

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The Poisson probability of P(x≤1) when λ=4 is calculated by finding the Poisson probabilities of x=0 and x=1, then adding them together. The end result, rounded to four decimal places, is 0.0916.

The question requires us to use the Poisson formula to find the probability P(x≤1) when λ=4. We interpret this as finding the combined probabilities of x being 0 or 1 in a Poisson distribution with a mean of 4. The Poisson distribution is a discrete probability distribution expressing the probability of a given number of events occurring in a fixed interval of time or space. Since we need to calculate P(x≤1), we'll calculate P(X = 0) and P(X = 1) separately and then sum these results.

Remember, the Poisson Probability formula is given by P(X = k) = (λ^k * e^-λ) / k!. Where λ is the average rate of value, k is the number of occurrences and 'e' is the base of natural logarithms approximately equals to 2.71828.

Using the Poisson Probability Distribution Function:

Summing these values: P(x≤1) = P(X = 0) + P(X = 1) = 0.0183 + 0.0733 = 0.0916 (Rounded to four decimal places).

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Answer:

12

Step-by-step explanation:

You go to the point a1,2 ant take out the cross that intersects there. you then find the determinant

[12 24 ]

[-4 -7 ]

12(-7) - (-4)(24)

-84-(-96)

-84+96=12

I hope this helps, not sure what the whole question or the directions where but this is what i got from what you gave me. good luck!

Answer:

\(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\)

Step-by-step explanation:

Integrate v(t) with respect to time

\(\displaystyle \int(3t^3+30t^2+5)\,dt\\\\=\frac{3}{4}t^4+10t^3+5t+C\)

Plug-in initial condition to get C

\(\displaystyle s(0)=\frac{3}{4}(0)^3+10(0)^3+5(0)+C\\\\3=C\)

Thus, the position function is \(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\) given the velocity function and initial condition.

The mean of the sampling distribution of mean sleep duration time for college students is 8.13.

The sampling distribution of the mean is a probability distribution that shows all possible sample means that can be obtained from a population. When we take a sample of size n from a population, calculate the mean of that sample, and repeat this process many times, we obtain a sampling distribution of the mean. The mean of this distribution is called the expected value of the sample mean, and it represents the average value of all possible sample means.

In this question, the population mean and standard deviation of sleep duration among college students are given as 8.13 and 1.87, respectively. We are asked to find the mean of the sampling distribution of the mean for a simple random sample of size 64.

The mean of the sampling distribution of the mean is equal to the population mean, which is 8.13 in this case. This means that if we take many simple random samples of size 64 from this population, calculate the mean of each sample, and plot these means on a histogram, the distribution of these means will be centered around 8.13.

The mean of the sampling distribution of the mean sleep duration time for college students can be calculated using the formula:

Sampling distribution mean = Population mean = 8.13

Therefore, the mean of the sampling distribution of mean sleep duration time for college students is 8.13.

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There will be infinite number of states and paths when the state space is (x,y) as the state space (i.e., a set of possible locations for the robot) consists of all possible positions (x, y) in the plane.

The collection of every possible setup for a system is its state space. It is a common abstraction in the study of artificial intelligence and game theory because it can be used to reason about the behavior of a specific system. A state space is typically introduced into a system description without being given any thought to its precise physical meaning. However, it is well known that choosing an appropriate state space representation makes it simpler for us to comprehend or control a system's property.

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Answer:

its true

Step-by-step explanation:

Answer:

8.14

Step-by-step explanation:

Ok.So to do this, you have to know the Pytharomean Theroem.If you do not know how,then that is totally ok.I will tell.So the theroem has a formula.

Down below is a image showing the variables.

Now the hypotenuse is c.And b and a are the legs.

So we can put evaluses in the formula(formula:a^2 + b^2 = c):

(6.0)^2 + (5.5)^2 = c^2

36 + 30.25=c^2

66.25=c^2

8.14 = c

So 8.14 is the anwser!

Hoped it helped!

Answer:

y = x - 1

Step-by-step explanation:

The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

The decision of which city to choose for the study involves tradeoffs. The first city allows for a wide range of class sizes, providing a comprehensive analysis of the relationship between class size and academic performance. However, the smaller sample size limits generalizability.



The second city offers a larger sample size, increasing generalizability, but with a narrower range of class sizes. Researchers should consider their specific research objectives, available resources, and constraints. If the goal is to assess the impact of extreme variations in class size, the first city is suitable. If obtaining highly generalizable results is paramount, the second city, despite the narrower range, should be chosen.



Therefore, The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

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Given :

Suppose there are 1200 pencils in 30 jars with an equal number of pencils per jar.

To Find :

Expression to show how to find the number of pencils per jar.

Solution :

Let, number of pencil per jar is x.

We know that when objects are equally distributed we should use divide to get our desired answer.

\(x = \dfrac{1200}{30}\\\\x = 40\)

Therefore, number of pencil per jar is 40.

Answer:

Hi The Answer is A.

Step-by-step explanation:

The Answer is A Because of the funter travel of the X.

x*y=z

Hope This Helps.

:)

My name is John henry.

Answer:

3rd one and last one

Step-by-step explanation:

First one:

4 × 3 × 4 = 48

Second one:

1 × 2 × 4 = 8

Third one:

2 × 3 × 5 = 30

Fourth one:

2 × 5 × 4 = 40

Fifth one:

2 × 2 × 4 = 16

Process of elimination:

The first one is itself greater than 47 units³, so this is definitely not one of the two;

A combination of the fourth prism and the smallest one as the second will give a volume of 48 units³, which is greater than 47 so this prism is also not one of the two we are looking for;

This leaves the second, third and fifth;

The second and third sum to 38, which is less than 42 so it is not the correct combination;

Similarly, the second and last gives only 24 so it is not the correct combination;

This leaves the only remaining option of the third and fifth;

30 + 16 = 46, which confirms this to be the correct combination.

The length of ZY, to the nearest tenth, is 12.4 units.

In triangle XYZ, we are given that angle Y is a right angle (90 degrees) and angle X is 34 degrees. We are also given that angle ZWY is 60 degrees and the length of XW is 7.2.

To find the length of ZY, we can use the trigonometric relationship between the sides and angles in a right triangle.

In right triangle XYZ, we can consider triangle ZWY as a right triangle with angle ZWY as one of its acute angles.

Since angle ZWY is 60 degrees, the other acute angle in triangle ZWY is 180 - 90 - 60 = 30 degrees.

Now, we can use the trigonometric ratios to find the length of ZY. In this case, we will use the tangent function because we have the opposite and adjacent sides.

tan(angle ZWY) = opposite/adjacent

tan(60 degrees) = ZY/XW

We can rearrange the equation to solve for ZY:

ZY = XW * tan(60 degrees)

Plugging in the values, we have:

ZY = 7.2 * tan(60 degrees)

Using a scientific calculator or trigonometric table, we find that tan(60 degrees) is approximately 1.732.

ZY = 7.2 * 1.732

ZY ≈ 12.3984

Rounding to the nearest tenth, the length of ZY is approximately 12.4.

Therefore, the length of ZY, to the nearest tenth, is 12.4 units.

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Answer: \(\mathrm{Axis\:interception\:points\:of}\:4n+3:\quad \mathrm{X\:Intercepts}:\:\left(-\frac{3}{4},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:3\right)\)

\(\mathrm{Slope\:of\:}4n+3:\quad m=4\)

Answer:

4(3x-y)

Step-by-step explanation:

Given:

\(\displaystyle \large{3(3x-y)-(y-3x)}\)

To factor this kind of expression, first, find the common factor.

\(\displaystyle \large{3(3x-y)-(-3x+y)}\\\displaystyle \large{3(3x-y)+(3x-y)}\)

Notice that in the expression, we have both same (3x-y). Therefore, (3x-y) is our factor.

Let u = 3x-y

\(\displaystyle \large{3u+u}\\\displaystyle \large{4u}\)

Change u back to 3x-y:

\(\displaystyle \large{4(3x-y)}\)

Therefore, the factored expression is 4(3x-y).

Answer:

volume of a cylinder = \(\pi r^2h\) (where r is the radius and h is the height)

diameter = \(2r\)  (where r is the radius)

A)  volume of Cup A = \(\pi \times 5^2\times20=500\pi \textsf{ cm}^3\)

B) Assuming the volume of the punch bowl is \(\dfrac{130000}{3}\pi \textsf{ cm}^3\)

\(\implies \dfrac{130000}{3}\pi \div 500\pi=\dfrac{260}{3}=87 \textsf{ (nearest whole number)}\)

C)  volume of Cup B = \(\pi \times 10^2\times20=2000\pi\textsf{ cm}^3\)

D)  Assuming the volume of the punch bowl is \(\dfrac{130000}{3}\pi \textsf{ cm}^3\)

\(\implies \dfrac{130000}{3}\pi \div 2000\pi=\dfrac{65}{3}=22 \textsf{ (nearest whole number)}\)

#1

Diameter=10cm

\(\\ \rm\Rrightarrow V=\pi r^2h\)

\(\\ \rm\Rrightarrow V=\pi 25(20)\)

\(\\ \rm\Rrightarrow V=500\pi cm^3\)

#2

Total cups:-

#3

\(\\ \rm\Rrightarrow V=\pi 100(20)\)

\(\\ \rm\Rrightarrow V=2000\pi cm^3\)

#4

Total cups

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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The angles of the triangle are 30°,40° and 110°. The biggest angle is 110°

Given that,

A triangle has one angle that is 30° in size. The other two angles have a 4:11 ratio.

We have to find how big are those two angles, exactly.

We know that according to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. A triangle is made up of three sides and three angles, one at each vertex.

Let 4:11 be

4x and 11x

We get,

30+4x+11x=180°

30+15x=180°

15x=180-30

15x=150

x=150/15

x=10

The angles will get,

4x=4×10=40

11x=11×10=110

Therefore, The angles of the triangle are 30°,40° and 110°.

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The circle at -6 is closed because the inequality does not include the possibility of y being equal to -6.

Inequality refers to a situation in which there is a difference or disparity between two or more things, usually in terms of value, opportunity, or outcome. Inequality can take many forms, including social, economic, and political inequality.

by the question.

the solution set of the inequality 1/2y < -3

Graph the solution set of the inequality 1/2y &lt; -3 - 1

To solve the inequality 1/2y < -3, we can begin by isolating the variable y on one side of the inequality:

1/2y < -3

Multiplying both sides by 2 yields:

y < -6

So, the solution set of the inequality is all real numbers y that are less than -6.

To graph the solution set on a number line, we can draw a closed circle at -6 and shade to the left of it, indicating that all values to the left of -6 are solutions to the inequality. The graph would look like this:

<=======o----------------------

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Answer:

21.10 minutes

Step-by-step explanation:

6.75+7.1+7.25=21.10

The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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The correct statements regarding the sum of \(1 + \sqrt{25}\) are given by:

Rational numbers are numbers that can be represented by fractions, such as integers and terminating or repeating decimals.

In this problem, we have the sum of two terms, one and the square root of 25, both of which are rational, as:

Hence the correct options are:

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The university administration should not trust the results from this study as it did not take a random sample.

The appropriate question to ask in order to assess the evidence provided by the sample data is, "How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?"

This is because the sample data shows a difference of 0.09, so we want to find out how likely it is to observe a difference of this size or greater, given that there is no actual difference between the GPA of male and female scholarship athletes.
Based on the investigation that the professor conducted which revealed that the study was given to all of the athletes on the basketball teams exclusively, the university administration should not trust the results from this study.

This is because the study was not taken from a random sample of scholarship athletes, meaning that the sample did not accurately reflect the population. If the sample does not accurately reflect the population, then the results may be biased and should not be trusted.

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Answer:

Regina writes the expression y +9.3/4

Using The commutative property

a + b = b + a

= 9.3/4  + y

= (9.3/4) + y

Step-by-step explanation:

Regina writes the expression y +9.3/4

Using The commutative property

a + b = b + a

= 9.1/4  + y

= (9.1/4) + y

The length of the diagonal of this square is 11 and option 4 is the correct answer.

A diagonal line is a line segment that joins two of a shape's vertices when there isn't already an edge between them. It doesn't go directly above, below, or across. The diagonals are always in the form of a straight line. In other terms, a diagonal is a line that passes through the vertex of a polygon or polyhedron and links its opposing corners.

Given that, x is the length of the diagonal of the square.

Also, x² = 132

The value of x is:

x = √132

x = 11.48

Hence, the length of the diagonal of this square is 11 and option 4 is the correct answer.

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Answer:

Then 1/2 or  30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.

Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point

Step-by-step explanation:

Linda walks in a straight line at 2 miles/hour

then after t ( hours time) she is    2 (m/h) * t   = d (L)

for Tom running at 6 m/h starting one hour later to cover the same distance d(L)

d(L)  =  6 m/h * ( t - 1 )    then:

2 (m/h) * t   =   6 m/h * ( t - 1 )

2*t  =  6*t - 6

4*t = 6

t = 6/4

t =  1,5 h

Checking that result.

we see that in 1,5 hours Linda has covered  2* 1,5  = 3 miles

and  in 0.5 hours  Tom covered the same distance  0,5 * 6 = 3 miles

NOTE: Remember that tom started one hour later.

Then 1/2 or  30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.

b)  In this case

d(T) = 6* ( t - 1 )       must be equal  to  twice of the Linda distance

d(L)  = 2 * 2 * t

6*t - 6  =  4*t

2*t  =  6

t  = 3

To check it

in 3 hours   Linda had covered  3 * 2  =  6 miles

in 2 hours   Tom had covered   2 * 6  =  12 miles

The probability of event C or event D occurring is 1, or 100%.

To find the probability of the events C or D occurring, we need to consider the following formula:

P(C or D) = P(C) + P(D) - P(C and D)

Given that C and D are mutually exclusive events, which means they cannot occur at the same time, the probability of their intersection, P(C and D), is 0.

Therefore, we can simplify the formula as:

P(C or D) = P(C) + P(D)

Substituting the given values, we have:

P(C or D) = 2/5 + 3/5

Combining the fractions, we get:

P(C or D) = 5/5

Simplifying further, we have:

P(C or D) = 1

Therefore, the probability of event C or event D occurring is 1, or 100%.

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