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What is required for a probability distribution to be considered binomial?

I NEED EXPLANATION

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Answer:

\(\frac{\sqrt{3} }{2}\)

Step-by-step explanation:

edge 2020

The value of sin(80) cos(20°) - cos(80°) sin(20°)= √3/2

Trigonometry the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations.

Given:

sin(80) cos(20°) - cos(80°) sin(20°)

Using Trigonometric identity

sin ( A- B) = sin A cos B - cos A sin B

So, sin(80) cos(20°) - cos(80°) sin(20°)

= sin (80 - 20)

= sin 60

= √3/2

Hence,  sin(80) cos(20°) - cos(80°) sin(20°)= √3/2

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Answer:

It is not rational

Step-by-step explanation:

Given

\(\sqrt 3 * 2.8\)

Required

Rational or Irrational

\(\sqrt 3 * 2.8\)

\(\sqrt 3 =1.73205\)

So, we have:

\(\sqrt 3 * 2.8 = 1.73205 * 2.8\)

\(\sqrt 3 * 2.8 = 4.84974\)

The result of the product: 4.84974  is not rational because it can not be represented as a fraction of two integers.

Answer:

Answer: 2

Step-by-step explanation:

\( \frac{2}{3} (4 \frac{1}{6} - \frac{7}{6} ) \\ \)

express the mixed fraction into proper fraction:

\( { \boxed{4 \frac{1}{6} = \frac{(6 \times 4) + 1}{6} = \frac{25}{6} }}\)

then solve simplify:

\( = \frac{2}{3} ( \frac{25}{6} - \frac{7}{6} ) \\ \)

solve the bracket:

\( = \frac{2}{3} ( \frac{25 - 7}{6} ) \\ \\ = \frac{2}{3} ( 3)\)

then simplify:

\( = \frac{2 \times 3}{3} \\ \\ = 2\)

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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Answer:

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Step-by-step explanation:

Given the data:

3 5 6 7 7 8 8 8 9 9 9 10 102

Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102

The interquartile range (IQR) for the data:

IQR = Q3 - Q1

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 26.3

Correcting error in the data:

3 5 6 7 7 8 8 8 9 9 9 10 10.2

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 2.04

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Answer:

If each tile has a number from 0 thru 9 then the possible outcomes for each tile are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

The given situation can be written in an algebraic way.

If pathos age is a, and Yamir age is b. You have:

Yamir is twice as old as pato:

b = 2a

in three years, the sum of their ages will be 30:

(b + 3) + (a + 3) = 30

replace the b = 2a into the last equation, and solve for a, just as follow:

2a + 3 + a + 3 = 30 simplify like terms left side

3a + 6 = 30 subtract 6 both sides

3a = 30 - 6

3a = 24 divide by 3 both sides

a = 24/3

a = 8

Hence, the age of Pato is 8 years old.

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer: D.

hope this helps

The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

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Answer:1

Step-by-step explanation:

Answer:

The solution is 1,300-1,900

Step-by-step explanation:

Simply put:

The standard deviation is 100. Because the range is 3 standard deviations, you add and subtract 300 from 1,600 instead of the normal 100.

So,

1,600 - 300 = 1,300

1,600 + 300 = 1,900

So, your answer is the third option: Between 1,300 and 1,900

The correct answer is 1,300 - 1,900.

Answer:

The domain of f is equal to x = log8 x.

Step-by-step explanation:

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

260,000

Step-by-step explanation:

Answer:256.73 hope this helps!

Step-by-step explanation:

Answer:

\(1590.6cm {}^{3} \)

Step-by-step explanation:

\(volume \: of \: a \: cone \: v = \frac{1}{3}\pi \: r {}^{2} h \\ radius = \frac{diameter}{2} = \frac{15}{2} = 7.5 \\ v = \frac{1}{3} \times 3.42 \times (7.5) {}^{2} \times 27 \\ v = \frac{3.142 \times 7.5 \times 7.5 \times 27}{3} \\ v = \frac{4771.9125}{3} = 1590.6375 \\ v = 1590.6cm {}^{3} (approximatly) \\ please \: rate \: and \: mark \: brainliest\)

Answer:

139284 238

Step-by-step explanation:

Using the concept of correlation, it is found that a strong positive correlation is expected between these two variables.

In this problem, the older the car, the more it should have traveled, that is, the higher the read on the odometer, hence, there is a direct proportional relationship, which means that the variables have a strong positive correlation.

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Answer: $54,742.75

Step-by-step explanation:

Each year you need to multiply the employee's current salary by 4% (in decimal form this is 0.04). Then you add the result to their current salary.

Year 1

40000 * 0.04 = 1600

40000 + 1600 = 41600

Year 2

41600 * 0.04 = 1664

41600+ 1664 = 43264

Year 3

43264 * 0.04 = 1730.56

43264+ 1730.56 = 44994.56

Year 4

44994.56 * 0.04 = 1799.78

44994.56+ 1799.78 = 46794.34

Year 5

46794.34 * 0.04 = 1871.77

46794.34+ 1871.77 = 48666.11

Year 6

48666.11 * 0.04 = 1946.64

48666.11+ 1946.64 = 50612.75

Year 7

50612.75 * 0.04 = 2024.51

50612.75+ 2024.51 = 52637.26

Year 8

52637.26 * 0.04 = 2105.49

52637.26+ 2105.49 = 54742.75

4 units, 6.93 units, 9.801 units, and 6.93 units are the missing lengths.

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle. Triangles are the focus of trigonometry, or more specifically, the connection between a right-angled triangle's angles and sides. A triangle has three sides: Hypotenuse, Adjacent, and Opposite. Trigonometric Ratio refers to the ratio between these sides based on the angle between them.

Here,

cos 60°=b/8

0.5=b/8

b=4 units

sin 60°=p/8

0.866*8=p

p=6.93 units

sin 45°=6.93/h

h=6.93/0.707

h=9.801 units

cos 45°=b/9.801

0.707*9.801=b

b=6.93 units

The missing lengths are 4 units, 6.93 units, 9.801 units and 6.93 units.

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We want to find the best prediction of the average number of hours a person spends at work every week if that person spends an average of 10 hours on recreational activities every week.

We will construct a line that adapts to the system by simple linear regression, and then we will find the x-value that makes the line take y=10.

First, we have the data:

We remember that in a simple regression model, we want to write an equation of the form:

where:

And the Sx, Sy and Sxx are the sums over all the x-values, the y-values and the multiplication of the x-values and y-values (respectively).

We will find those values:

Also, we have:

And applying the formula, having in mind that n=13, we get:

And, for alpha:

This means that the linear regression equation will be:

For finding the x-value that will have 10 hours of recreational activities, we replace the 10 value on y, and clear out the variable x:

And thus,

This means that when a person works 65 hours approximately, he will have 10 hours of recreational activities every week.

The transformation of g(x) to h(x) is (c) The graph of h is the graph of g vertically shifted down 5 units.

From the question, we have the following parameters that can be used in our computation:

The functions g(x) and h(x)

In the graph, we can see that

g(x) =x² is transformed to obtain function  h(x) = g(x) - 5.

So, we have

Vertical Difference = 0 - 5

Evaluate

Vertical Difference = -5

This means that the transformation of g(x) to h(x) is g(x) is shifted down 5 unit to h(x).

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Answer:

-4/2

Step-by-step explanation:

rise over run

goes down -4 "rises"

moves over 2 runs

Answer:

Permutation

Step-by-step explanation:

The term to describe the given statement is permutation.

When defining permutation, certain keywords such as order does matter and arrangement are used to describe permutation.

Take for instance:

The arrangement of 3 boys on a seat

Ways 4 friends can sit to take photographs

...are examples of permutation

Permutation of r objects in n distinct objects is calculated as:

\(^nP_r = \frac{n!}{(n -r)!}\)

According to trigonometric identities, the given expression is equivalent to the sine of the sum of the angles involved.

In this case those angles are x and 2x. It means that the expression is sin(x+2x) which is the same as sin(3x).

The correct answer is the third choice.