The lines intersect to form a rectangular prism, therefore the plane that is parallel to EFG is BCD. option D
How to find similar objects?We should know that in plane geometry, parallel lines do not intersect and intersecting lines form angles at the points of intersection.
To determine the similarity of the lines, Let us consider the following lines
From the rectangular prism
EF//AB
BC//FG
GH//CD
AD//EH
Each of the lines lies on opposite side of the rectangular prism.
Also, quadrilateral ABCD ≡ Quadrilateral EFGH
In conclusion, the plane that is parallel to EFG is BCD.
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What is the surface area of the figure below?
Round to the nearest whole number.
Answer:
8583.7
Step-by-step explanation:
10 x 2.54=25.4cm
25.4cm/2= radius
4/3 x 22/7 x (12.7x12.7x12.7)=8583.70019=8583.7
the new york rangers have won 55.1% of their games so far this season. suppose they play seven games against the new york islanders this season. what is the probability that the rangers end up winning the majority of their games against the islanders this season (assuming that the win percentage stays the same)?
There is a 42.3% chance that the Rangers will win a majority of their seven games against the Islanders, assuming their win percentage stays the same.
According to given information :We can use the binomial distribution to calculate the probability of the Rangers winning a majority of their games against the Islanders, given their win percentage of 55.1%. Let's denote the probability of the Rangers winning a single game against the Islanders as p.
Since the Rangers and Islanders play seven games against each other, the number of games the Rangers win against the Islanders follows a binomial distribution with parameters n = 7 and p = 0.551.
To find the probability that the Rangers win a majority of these seven games, we need to sum the probabilities of all possible outcomes where they win four or more games. We can use the binomial probability formula to calculate each of these individual probabilities and then sum them up:
P(Rangers win 4 or more games) = P(Rangers win 4 games) + P(Rangers win 5 games) + P(Rangers win 6 games) + P(Rangers win 7 games)
\(= (7 choose 4) * 0.551^4 * (1 - 0.551)^3 + (7 choose 5) * 0.551 ^ 5 * (1 - 0.551)^2 + (7 choose 6) * 0.551^6 * (1 - 0.551) + (7 choose 7) * 0.551^7\)
Using a binomial calculator or a spreadsheet, we can evaluate this expression and find that:
P(Rangers win a majority of their games against the Islanders) = 0.423
Therefore, there is a 42.3% chance that the Rangers will win a majority of their seven games against the Islanders, assuming their win percentage stays the same.
What is Binomial Distribution ?The Binomial distribution is a discrete probability distribution that describes the probability of obtaining a certain number of successes in a fixed number of independent trials, where each trial can have only two outcomes (e.g., success or failure).
The distribution is defined by two parameters: the number of trials n and the probability of success in each trial p. The distribution gives the probability of obtaining k successes in n trials, where k can range from 0 to n.
The formula for the probability mass function of the Binomial distribution is:
\(P(k) = (n choose k) * p^k * (1 - p)^n-k\)
where (n choose k) is the binomial coefficient, which gives the number of ways to choose k items from a set of n items. The formula can be used to calculate the probability of obtaining k successes in n trials, given a fixed probability of success p.
The Binomial distribution is used in many areas of statistics, including quality control, epidemiology, and finance, among others. It is also a fundamental building block for more complex statistical models, such as the Poisson distribution and the normal distribution.
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Assume that when human resource managors are randomly soleciod, 65\% say job applicants should follow up within two woeks. If 9 haman resource managers are randomly selociad, find the probablify that exactly 4 of them say fob applicants should follow up within two weeks. The probabity is (Round to four decimal places as nooded.)
The probability that exactly 4 of the randomly selected HR managers say job applicants should follow up within two weeks is approximately 0.049.
To solve this problem, we can use the binomial probability formula. The formula for the probability of exactly k successes in n trials is:
P(X = k) = (nCk) * p^k * (1 - p)^(n - k)
Where:
P(X = k) is the probability of exactly k successes
n is the number of trials
k is the number of successes
p is the probability of success in a single trial
In this case, we have:
n = 9 (number of HR managers)
k = 4 (number of HR managers who say job applicants should follow up within two weeks)
p = 0.65 (probability of success)
Using the formula, we can calculate the probability:
P(X = 4) = (9C4) * (0.65)^4 * (1 - 0.65)^(9 - 4)
Calculating the values:
(9C4) = 9! / (4! * (9 - 4)!) = 9! / (4! * 5!) = 126
(0.65)^4 ≈ 0.179
(1 - 0.65)^(9 - 4) ≈ 0.022
P(X = 4) ≈ 126 * 0.179 * 0.022 ≈ 0.049
Therefore, the probability that exactly 4 of the randomly selected HR managers say job applicants should follow up within two weeks is approximately 0.049.
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determine whether the random variable x is discrete or continuous. explain. let x represent the amount of rain that fell in spring
The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.
In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.
On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.
In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.
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The complete question is:
Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.
A. Continuous, because x is a random variable that cannot be counted.
B. Discrete, because x is a random variable that can be counted.
Write and Solve an equation to determine the missing dimension of the prism with a volume of 160cm. Height is missing the numbers given are 10cm and 2cm
At 1am the temperature is 12f. If the temperature steadily decreases 2f per hour then the temperature at 8pm is
TRUE/FALSE.We can use the normal distribution to approximate the sampling distribution of the average (x ¯) for a small sample (n<30) even if our sample has clear outliers.
The given statement, "We can use the normal distribution to approximate the sampling distribution of the average (\(\bar X\)) for a small sample (n<30) even if our sample has clear outliers." is false.
What is sample distribution?Several random samples of a predetermined size are taken from the same population to generate a sampling distribution, which is a sort of probability distribution. You can better understand how a sample statistic fluctuates from sample to sample by using these distributions.
The given statement is false because when the sample size is small (n < 30) and the data have clear outliers, the normal distribution may not be a suitable approximation for the sampling distribution of the average (\(\bar X\)). In such cases, the presence of outliers can significantly affect the distribution, causing it to deviate from a normal distribution.
For small samples with outliers, it is generally recommended to use alternative methods or non-parametric tests that do not assume a specific distribution. These methods take into account the non-normal nature of the data and provide more robust and reliable results.
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Plz help due tomorrow
Answer: $21000
Step-by-step explanation:
By uwing option A, the salesperson will make (40 × $21) = $840.
Let the amount of sales that is needed for the week to be thesame as option A be x. Therefore,
4% of x = $840
4% × x = $840
0.04x = $840
x = $840/0.04
x= $21000
The salesperson need to sell $21,000 worth of sales
Write an equation of the parabola in vertex form.
(-2, 6)
(-1,3)
The equation of parabola in vertex form is y=-3(x+2)^2+6
What is parabola and equation of parabola in vertex form?
Parabola is equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
The equation of parabola in vertex form is
y=a(x-h)^2+k
Given the vertex (-2,6) and (-1,3)
h=-2 and k=6
y=a〖(x+2)〗^2+6
To find the value of a at vertex (-1,3)
Put y = 3 and x = -1
3=a(-1+2)^2+6
3=a+6
a=-3
The equation of parabola is given by y=-3(x+2)^2+6
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What is negative 8.64 divided by negative 0.024
Answer:
360.
Positive answer, as negatives divided by negatives are positives.
Answer:
negative 8.64 divided by negative 0.024 = 360
Step-by-step explanation:
a positive ÷ by a negative = a negative
a negative ÷ by a positive = a negative
a positive ÷ by a positive = a positive
a negative ÷ negative = a positive
---
hope this helps :)
A rectangular rug measures 9 feet by 6 feet. The rug has two
nonoverlapping yellow circles that each have a diameter of 3 feet. The
part of the rug not covered by the circles is blue.
What percent of the rug is blue? HELP HELP
DO NOT ANSWER “ DOWNLOAD HERE” STOP DOING THAT I ACTUALLY NEED HELP
Answer:
54%
Step-by-step explanation:
Answer:
74%
Step-by-step explanation:
Trust me
Which set of coordinate pairs do NOT represent a linear function?
(−4, −12), (−3, −10), (−2, −8), (−1, −6)
(−4, −17), (−3, −10), (−2, 5), (−1, 2)
(1, −7), (2, −10), (3, −13), (4, −16)
(1, 1), (2, 4), (3, 7), (4, 10)
Answer:
(-4, -17), (-3, -10), (-2,5), (-1,2)
All the coordinates are represent linear function.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The coordinates are,
⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)
⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)
⇒ (1, -7), (2, -10), (3, -13), (4, -16)
⇒ (1, 1), (2, 4), (3, 7), (4, 10)
Now,
We know that;
A relation between a set of inputs having exactly one output each is called a linear function.
Clearly, All the coordinate have exactly one output for every input.
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Work out this question:
-26−(−22)
Answer:
_4
Step-by-step explanation:
As we know,-and -is plus (+) so it becomes -26+22 and then ans will come -4 as 26 has greater sign
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below. A. The statement is true. B. The statement is false. A sampling distribution is normal only if n≥30. C. The statement is false. A sampling distribution is normal if either n≥30 or the population. D. The statement is false. A sampling distribution is never normal.
A sampling distribution is normal only if the population is normal. This statement is false because A sampling distribution is normal only if n≥30.
If the underlying population is normally distributed, the sampling distribution (such as the sample mean distribution, also known as the xbar distribution) is also normally distributed. Even though the population is not normally distributed, the x(bar) distribution is approximately normal if n > 30, due to the central limit theorem. Some textbooks may use values above 30, but after a certain threshold the x(bar) distribution is effectively "normal".
Option B is close, but misses the normal population part. n > 30 is not necessary if we know the population is normal.
A sampling distribution is the probability distribution of a statistic obtained from a large number of samples drawn from a particular population. The sampling distribution for a given population is the frequency distribution of a range of different outcomes that can occur in the population.
In statistics, a population is the entire basin from which a statistical sample is drawn. A population can refer to an entire population of people, objects, events, hospital visits, or measurements. Thus, a population can be said to be a global observation of subjects grouped by common characteristics.
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At a coffee shop, the first 100 customers’ orders were as follows…
Find the probability a customer ordered a hot drink, given that they ordered a large.
In right triangle XYZ, ∠Z is a right angle, m∠Y=16∘, and XZ=7. sin16∘≈0.276 cos16∘≈0.961 tan16∘≈0.287. What is the measurement of YZ?
Answer: 24.4
Step-by-step explanation:
So lets review a bit about sine, cosine, and tangent.
Look at attachment below
Okay so we have the opposite side of the triangle and are trying to find the length of the adjacent side. The only trig expression that contains both opposite and adjacent is tangent. The equation goes
tanX = opposite(XZ)/adjacent (YZ)
we know what X is X = 16
and we know what opposite is opposite = 7
so now the equation looks like
tan16 = 7/adjacent
and in the question it says that tan16 = 0.287 so lets plug that in
0.287 = 7/adjacent
0.287adjacent = 7
adjacent = 7/0.287
adjacent = 24.4
YZ = 24.4
The value of the function g(x) is –2 when x = -5 and is 5.7 when x = 6. What is
the equation for the function g (2)?
Answer: the equation of function g(x) is y=0.7 x+ 1.5
Step-by-step explanation: The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).
The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).
The equation of function g(x) that passes through (-5,-2) and (6,5.7) is
Need help ASAP for math thank youu
Answer:
X is 6
Step-by-step explanation:
The reson X is 6 is that if you removed the 3 and layed the side with x it would be alittle bit smaller than 5 making it 6.
A typical person begins to lose consciousness if subjected to accelerations greater than about 5 g(49.0 m/s^2) for more than a few seconds. Suppose a 3.00×10^4−kg manned spaceship's engine has an exhaust speed of 2.50×10^3 m/s. What maximum burn rate ∣ΔM/Δt∣ could the engine reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness?
The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.
Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.
Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.
Let the mass of the spaceship be m and the exhaust speed of the engine be v.
Using the formula for the thrust of a rocket,
T = (mv)e
After substituting the given values into the formula for thrust, we get:
T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N
Therefore, the acceleration produced by the engine, a is given by the formula below:
F = ma
Therefore,
a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²
The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,
x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s
Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.
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NEED ASAP!
A person of interest has been identified by the police.
The person is 6 miles away from A(-2, 9.9).
The person is 10 miles away from B(-8, -4.7)
The person is 9 miles away from C(-12, 4)
Use the information from towers, A, B, and C to find the appropriate location of the person of interest.
A. The person is at about (2, 1)
B. The person is at about (-3,4)
C. The person is at about (4, -3)
D. The person is at about (5, -4))
A person of interest has been identified by the police, the appropriate location of the person of interest is D(5, -4). Therefore, option D is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let (x, y) be the coordinates of the person of interest. Then, we can set up three equations based on the distances between the person and the three known locations:
√((x-(-2))²+(y-9.9)²)=6
√((x-(-8))²+(-(-4.7))²)=10
√((x -(-12))²+(y-4)²)=9
Squaring both sides of each equation and simplifying, we get:
(x+2)²+(y-9.9)²=36
(x+8)²+(y+4.7)²=100
(x+12)²+(y-4)²=81
Expanding the squared terms and simplifying, we get a system of three linear equations in two variables:
x²+4x+y²-19.8y=4
x²+16x+y²+9.4y=52.59
x²+24x+y²-8y=21
We can solve this system of equations to find the values of x and y that satisfy all three equations.
y = (-11.94 + 6x)/19.8
Substituting this expression for y into the first equation, we get a quadratic equation in x:
x²+4x+((-11.94+6x)/19.8)²-19.8((-11.94+6x)/19.8)-4=0
Simplifying and solving for x, we get:
x=-0.217 or x=5.184
Substituting these values of x into the expression for y, we get:
y=1.283 or y=-3.772
So, x=5 and y=-4
Therefore, option D is the correct answer.
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0
с
z←
85⁰
D
Work out the three-figure bearing of D from C.
Answer:
095
Step-by-step explanation:
You want the bearing from C to D, given that the bearing from D to C is 85° west of north.
BearingThe bearing from C to D will be the opposite of the bearing from D to C.
Bearing is measured clockwise from north, so the bearing shown from D to C is -85°. Its opposite is found by adding 180°.
180° +(-85°) = 95°
The 3-digit bearing of D from C is 095.
i need help with this srsly
Step-by-step explanation:
5×2=10
2x-2y=2y
2y+3=5x
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
18 kg 30 kg
Answer:
The answer is 3/5
Step-by-step explanation:
The ratio of two numbers, say x and y is:
x:y or x/y.
Hence, the ratio 18kg 30kg will be:
18kg/30kg = 18/30
In simplest form:
18/30 = 3/5
while virtually all time series exhibit _______ a random component, not all time series exhibit other components.
In contrast to the fact that almost all time series contain a random component, certain time series do not.
A TIME SERIES IS WHAT?
A time series is a group of observations of clearly defined data points produced over time via repeated measurements. A time series would include, for instance, calculating the amount of retail sales for each month of the year. This is due to the well defined and regular measurement of sales income at uniformly spaced intervals. Time series data are not those that are irregularly or once collected.
Three parts can be separated out of a time series observation: the trend (long-term direction), the seasonal (systematic, calendar-related motions), and the irregular (unsystematic, short term fluctuations).
In mathematics, a time series is a collection of data points that have been indexed chronologically.
A time series is typically a sequence that was recorded at a number of evenly spaced points in time.
It is therefore a set of discrete-time data.
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Factor the following expression using the GCF :
2dr-4r
Answer:
2r(d-2)
Step-by-step explanation:
Answer:
The answer is I don't know
Anyone help me solve for y.
Answer:
y = - 4
Step-by-step explanation:
Given
y = 2x + ( - 2) , that is
y = 2x - 2 ← substitute x = - 1
y = 2(- 1) - 2 = - 2 - 2 = - 4
This is confirmed by the point (- 1, - 4 ) on the graph
Giveng(x) is the inverse of f(x), andf(-4)= 9, what is the value of:8(9) – 3f (-4)?
It is given that the function g(x) is the inverse of f(x) so it follows:
\(g(x)=f^{-1}(x)\)It is given that f(-4)=9 so it follows:
\(\begin{gathered} f(-4)=9 \\ f^{-1}f(-4)=f^{-1}(9) \\ -4=g(9) \end{gathered}\)So the value of g(9)-3f(-4) is given by:
\(\begin{gathered} g(9)-3f(-4)=-4-3(9) \\ =-4-27 \\ =-31 \end{gathered}\)Hence the value is -31.
Which set of ordered pairs represents y as a function of x?
O {(1,5), (2,5), (3,4), (1,4)}
O {(7,8), 6,2), (3,2), (6,7)}
{(0,9), (2,8), (3,5), (1,8)}
o {(7,3), (2,6), (1,4), (2,8)}
Answer:
(2,8), (3,5),
Step-by-step explanation:
I WILL GIVE YOU BRAINLY PLSS
pls help me with 11 and 12
Nathan is raising money for a bike-a-thon. His aunt pledged $10 plus $1.75 for every mile
he bikes. On the day of the bike-a-thon, Nathan biked 10 ¼ miles.
11.Which expression represents the amount of money Nathan will collect from his aunt?
A. 10 + 1.75
B. 10 + 1.75 + 10.25
C. 10 + 1.75(10.25)
D. 11.75(10.25)
12. How much money will Nathan collect from his Aunt?
PLSS SHOW YOUR WORK PLSS
Answer:
11. C
Step-by-step explanation:
11.
y=1.75x+10
y=1.75(10.25)+10
So it's number C.
12.
y=1.75(10.25)+10
y=27.9375
He will collect $27.94
This is rounded.
Generate a plan and describe the steps needed to solve the equation.
Answer:
Step-by-step explanation:
1. Identify the equation and its variables.
The equation can be any type of equation, such as a linear equation, quadratic equation, or polynomial equation. Identify the variables in the equation and label them.
2. Find a strategy for solving the equation.
Depending on the type of equation, there are various strategies for solving the equation. For example, a linear equation can be solved using the addition-subtraction method, a quadratic equation can be solved using the quadratic formula, and a polynomial equation can be solved using the synthetic division method.
3. Use the strategy to solve the equation.
Follow the steps of the chosen strategy to solve the equation. This may involve expanding the equation, factoring, or rearranging the equation.
4. Check the solution.
Once the equation is solved, check the solution by plugging the answer back into the equation and verifying that it works.
5. Review and summarize the steps.
Review the steps taken to solve the equation and summarize them in a few sentences. This will help with understanding and remembering the steps.