What is the value of x?
Triangle B C D. Angle B is 91 degrees, angle C is 33 degrees, and angle D is x degrees.
56°
66°
124°
236°

The marginal probability distribution of Y1, the number of married executives among the three selected for promotion, needs to be found. Additionally, the conditional probabilities P(Y1 = 1 | Y2 = 2) and P(Y3 = 1 | Y2 = 1) need to be determined.

Finally, a comparison needs to be made between the marginal distribution derived in part (a) and the hypergeometric distribution with N = 9, n = 3, and r = 3.

(a) To find the marginal probability distribution of Y1, we need the joint probability distribution of Y1, Y2, and Y3. Once we have the joint distribution, we can sum the probabilities for each value of Y1 to obtain its marginal distribution.

(b) To find P(Y1 = 1 | Y2 = 2), we need to determine the conditional probability of Y1 being equal to 1 given that Y2 is equal to 2. This can be calculated using the joint probability distribution and applying the definition of conditional probability.

(c) To find P(Y3 = 1 | Y2 = 1), we need to determine the conditional probability of Y3 being equal to 1 given that Y2 is equal to 1. Again, this can be calculated using the joint probability distribution and the definition of conditional probability.

(d) To compare the marginal distribution derived in part (a) with the hypergeometric distribution with N = 9, n = 3, and r = 3, we need to calculate the probabilities of Y1 = 0, Y1 = 1, Y1 = 2, and Y1 = 3 using both distributions. The hypergeometric distribution represents the probability of getting a specific number of successes (married executives) in a sample of a specific size (3) from a population of a specific size (9) with a specific number of successes (3).

By comparing the probabilities obtained from the marginal distribution and the hypergeometric distribution, we can analyze the agreement or discrepancy between the two distributions.

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Answer:

28125

Step-by-step explanation:

The \(n\)th term of your geometric sequence is \(9\cdot5^{n-1}\). This means that the 6th term is \(9\cdot5^{6-1}=28125\).

Answer:

x=8 or x=-2

Step-by-step explanation:

x²-16=6x

x²-6x-16=0

x²-8x+2x-16=0

x(x-8)+2(x-8)=0

(x-8)(x+2)=0

either,. or.

x-8=0 x+2=0

x=8 x=-2

The graph represented is obtained to be a graph of exponential function that is Option C: \(f(x) = e^x\).

What is an exponential function?

The formula for an exponential function is \(f(x) = a^x\), where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The graph is a curved shape that starts from the point (0,1) and moves upwards as x approaches infinity.

This shape is characteristic of the exponential function.

Also, the function passes through the point (0,1), which is the value of \(e^0\).

Option A f(x) = ln x is the logarithmic function, and its graph is a mirror image of the exponential function.

The graph of the logarithmic function moves towards negative infinity as x approaches 0.

Option B f(x) = ex is also a linear function, It has a graph which form a straight line.

Option D f(x) = log x is also a logarithmic function, but its graph moves towards positive infinity as x approaches infinity, which is not the case for the given graph.

Therefore, the correct answer is \(f(x) = e^x\).

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both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.

China is using the comparative advantage perspective in regards to not trading silk with Germany in exchange for automobiles. According to the theory of comparative advantage, a country should specialize in producing and exporting the goods or services that they can produce more efficiently or at a lower opportunity cost compared to other goods and services.

In this case, China has a comparative advantage in producing silk and a comparative disadvantage in producing automobiles compared to Germany, which has a comparative advantage in producing automobiles and a comparative disadvantage in producing silk.

Hence, both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.

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Answer:6

Step-by-step explanation:

Answer:

d = 6

Step-by-step explanation:

The common difference d of the arithmetic sequence is

d = a₂ - a₁ = 10 - 4 = 6

Given the function:

The graph is attached below:

• The period of the function, T = π-(-2π)=3π.

Thus, the function has been graphed to show at least one full period, the x and y-axes are also clearly labeled above.

We will have the following:

***Explanation***

We have that absolute value is used in order to obtain magnitudes, and since magnitudes are positive those are the values we are going to obtain.

Now, for example:

|5| = 5

|-5| = 5

|420| = 420

|-69| = 69

|342| = 342

|-23| = 23

This is the nature of the absolute value, it gives us the positive value and thus the magnitude (In other words it removes the "direction" the value had.)

Answer:

alam nio ba filipino talaga ako hahahah

Answer:

The answer is the. 848 is the anns

Answer:

20 cm²

Step-by-step explanation:

1/2 ( 5 x 8 ) = 1/2 ( 40 ) = 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

The missing image is attached below.

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Answer:

45

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

0.5+1.1+1.7+2.3+2.9+3.5+4.1+4.7+5.3+5.9+6.5+7.1+7.7+8.3+8.9+9.5+10.1+10.7+11.3+11.9

Step-by-step explanation:

tell me if this isn't 20 terms

Answer:

\(S_{20}\) = 124

Step-by-step explanation:

The sum to n terms of an arithmetic series is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 0.5 and d = a₂ - a₁ = 1.1 - 0.5 = 0.6 , then

\(S_{20}\) = \(\frac{20}{2}\) [ (2 × 0.5) + (19 × 0.6) ]

     = 10 (1 + 11.4 )

     = 10 × 12.4

     = 124

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

12 in^2

Step-by-step explanation:

A = l*w

   = 2in * 6 in

  = 12 in^2

Answer:

Area = 12 in.²

Step-by-step explanation:

Area = length × width

Where w = 2 and L = 6

So,

Area = 2 × 6

Area = 12 in.²

Answer:

A. 13/15​

B. 13/10​

C. 22/21

D. ​−3/20​

Step-by-step explanation:

Just make the denominators equal to each other and solve. Ask your teacher for extra help

Answer:

6ft

Step-by-step explanation:

5.94 rounded up is 6

Answer:

6 feet

Step-by-step explanation:

If you round to the nearest foot, then You want to take the number before that one, and if it is above 5, then you can round the foot to the next number

Step-by-step explanation:

here ya go m8, will this work

Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

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Answer:

the question says 9 added to (2×t)

2×t

added to 9

9+(2×t)

Step-by-step explanation:

1 more time solve and answer is ready

Answer:

128π in.² ≈ 402.1 in.²

Step-by-step explanation:

The rod can be cut into two equal sized pieces in different ways, so there are different answers to this question. I assume the question is asking when the rod's length is cut in half, so now there are two rods, each one being a cylinder with 4 inch height.

We need the area of the original rod and then add two more base areas.

C = 8π in.

r = 4 in.

total surface area = lateral area + 4 × area of base

SA = 8 in. × 8π in. + 4 × π × (4 in.)²

SA = 64π in.² + 64π in.²

SA = 128π in.² ≈ 402.1 in.²

Answer:

401.9

Step-by-step explanation:

I got this question wrong on my quiz

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

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

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

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

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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

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

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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The pοpuIatiοns οf the rabbits after 10 years is 12908.

Percentage is defined as the hundredth part οf a number.

An equatiοn is a fοrmuIa in mathematics that expresses the equaIity οf twο expressiοns by cοnnecting them with the equaIs sign (=). The wοrd equatiοn and its cοgnates in οther Ianguages may have subtIy different meanings; fοr exampIe, in French, an équatiοn is defined as cοntaining οne οr mοre variabIes, whereas in EngIish, an equatiοn is any weII-fοrmed fοrmuIa cοnsisting οf twο expressiοns Iinked by an equaIs sign.

The currecnt pοpuIatiοn οf rabbits is 6004 cand they are increasing at the rate οf 8% per year.

Sο, they are increasing expοnentiaIIy

After 10 years pοpuIatiοns wiII be

The pοpuIatiοn οf rabits are increasing at the rate οf 8% per year

\(6004(1.08)^{10} =12908\)

Hence, the pοpulation οf rabbits after 10 years is 12908.

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Answer: the letter a

...........

Step-by-step explanation:

the question is phrased incorrectly.

the "can" is the problem.

they "can" lie on 3 different planes, even if they are on the same line.

but what 3 points always do in 3-dimensional geometry : they define 1 plane, if they are not on the same line.

it is the minimum of needed information to define a plane : 3 points not on the same line. because they create a triangle, which is a 2- dimensional shape representing its own plane in a 3- dimensional world.

similar to 2-dimensional and 3- dimensional geometry, any 2 points (if they are not identical on the same dot) define 1 line.