if we repeatedly toss a balanced coin, then, in the long run, it will come up heads about half the time. but what is the probability that such a coin will come up heads exactly half the time in 16 tosses

Answer:

to calculate the circumference of a circle is to multiply the diameter of the circle with π (pi). the circumference can be calculated by multiplying 2 x radius with π ( pi ) (π=3.14)

I believe it will help you

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability of getting at least 2 fours is the sum of the probabilities of getting exactly 2, 3, 4, or 5 fours:

P(X ≥ 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5)

Using the binomial formula, we can calculate each of these probabilities:

P(X=k) = (n choose k) p^k (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from n distinct items.

P(X=2) = (5 choose 2) (1/6)² (5/6)³ = 0.1608

P(X=3) = (5 choose 3) (1/6)³ (5/6)² = 0.0322

P(X=4) = (5 choose 4) (1/6)⁴ (5/6)¹ = 0.0013

P(X=5) = (5 choose 5) (1/6)⁵ (5/6)⁰ = 0.00003

Therefore,

P(X ≥ 2) = 0.1608 + 0.0322 + 0.0013 + 0.00003 = 0.1943

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

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Answer:

D. Cost

It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.

Step-by-step explanation:

Please mark brainliest I hope this helps.

Answer:

D the cost

Step-by-step explanation:

cause the costs always go on the y axis

Answer:

21

Step-by-step explanation:

Answer:

3: P'= (6, 5)  Q'= (11, 3)  R'= (3, 11)

4: P'= (-8, -1)  Q'=(-3, -3)  R'= (-12, 5)

Step-by-step explanation:

The question is the explanation basically. Just move the points 6 units right and 5 units up for 3, and move the points 8 units left and 1 unit down for 4.

(I hope that the two questions are called 3 and 4, and it isn't "36 units right" or "4.8 units left)

The Expected value of M is 65

The Standard error of M is 5

Given,

The sample score, n = 9

The Standard deviation, σ = 15

Population mean, μ = 65

Then,

The Expected value of M = μ

∴ The Expected value of M = 65

The Standard error of M = σ/\(\sqrt{n}\)

                                          \(=\frac{15}{\sqrt{9} } \\\\=\frac{15}{3} \\=5\)

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Assuming the angle made by a vector refers to the angle it makes with the positive horizontal axis, take the dot product of u with the vector (1, 0), and recall that

a • b = ||a|| ||b|| cos(θ)

where θ is the angle made by the vectors a and b. Then

u • (1, 0) = ||u|| ||(1, 0)|| cos(θ)

We have

u • (1, 0) = 5×1 + 8×0 = 5

||u|| = √(5² + 8²) = √89

||(1, 0)|| = √(1² + 0²) = √1 = 1

so that

5 = √89 cos(θ)

cos(θ) = 5 / √89

θ = arccos(5 / √89) ≈ 57.99°

The equation of line 1 is y = (-2/3)x + 5.

The equation of line 2 is y = (-2/3)x.

The graph is shown below.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Line 1:

y = (-2/3)x + 5 ____(1)

m = -2/3

y-intercept = 5

Line 2:

It is parallel to line 1 so,

m = -2/3

y-intercept = 0

The equation of line 2 is

y = -2/3x ______(2)

We will make the graph for equations (1) and (2) as shown below.

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To estimate the standard deviation using the range rule of thumb, we need to find the range of the data set and divide it by 4.

In this case, the range is the difference between the highest and lowest heights, which is cm. Dividing by 4 gives us an estimate of the standard deviation of cm.
Comparing this estimate to the actual standard deviation of cm calculated from the data set, we can see that the estimate is off by quite a bit. This suggests that the range rule of thumb is not a very accurate method for estimating standard deviation.
In fact, the range rule of thumb is only accurate for data sets that are roughly bell-shaped and symmetrical, which may not be the case for body measurements. To get a more accurate estimate of standard deviation, we would need to use a more sophisticated statistical method.
Overall, the result suggests that we need to be cautious when using the range rule of thumb to estimate standard deviation, especially when working with data that is not well-behaved or that has outliers.

To estimate the standard deviation (s) using the range rule of thumb with body measurements, we first need the range of the heights of males provided in the dataset. Unfortunately, the low and high values in centimeters were not included in the question. However, I can explain the process step by step, and you can plug in the correct values to determine the accuracy of the estimate.
Step 1: Calculate the range
Range = High value (in cm) - Low value (in cm)
Step 2: Apply the range rule of thumb
Estimated standard deviation (s) = Range / 4
Step 3: Compare the estimated standard deviation to the given standard deviation (in cm)
Compare the estimated s value from Step 2 to the given standard deviation of cm (again, the value was not provided in the question).
Step 4: Determine the accuracy of the estimate
If the difference between the estimated s and the given standard deviation is within the specified cm (not provided in the question), then the estimate is considered accurate.
By following these steps and inputting the correct values, you can determine whether the range rule of thumb provides an accurate estimate for the standard deviation (s) of male heights in the body measurements dataset.

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The range rule of thumb provides a rough estimate of the standard deviation of data. By comparing the estimated and actual standard deviations, we can determine the accuracy of this rule for the given data set. If the estimated standard deviation is within n cm of the actual one, the estimate is considered accurate.

The range rule of thumb is a rule that provides a rough estimate of the standard deviation of a set of data. We can find it by dividing the range of the data (the difference between the largest and smallest data values) by 4. Thus, if the lowest height is cm and the highest is cm, then the estimated standard deviation ' would be ( − ) / 4.

Comparing this estimated standard deviation ' to the actual standard deviation calculated using the heights can provide a rough idea of how well the range rule of thumb works for this data set. If ' is within cm of , then the estimate can be considered accurate. If not, it suggests that the range rule of thumb may not provide a very accurate estimate for this particular data set.

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Answer:

Step-by-step explanation:

If a fair die is rolled 4 times, what is the probability, rounded to the nearest

Answer:

x = 5, x = 3

Step-by-step explanation:

Hello!

For the equation (x-5)(7x - 21) = 0, we can use the zero-product property to solve the equation.

The zero product property states that for factors when multiplied equal to 0, you can set each factor to 0 and solve for the variable inside.

Using this property, we can say:

The solutions are x = 5, and x = 3.

The average rate of change of the function from x₁ = 1 to x₂ = 6 is 4.

Function is f(x)= x² - 3x + 8.

We have to find the average rate of change of the function from x₁ to x₂ where x₁ = 1 and x₂ = 6.

We will use the following formula to calculate the average rate of change of the function:

avg. rate of change of the function = (f(x₂) - f(x₁)) / (x₂ - x₁).

Now, we will find the value of f(x₁) as follows :

f(x₁) = x₁² - 3x₁ + 8f(x₁) = 1² - 3(1) + 8f(x₁) = 1 - 3 + 8f(x₁) = 6.

Now, we will find the value of f(x₂) as follows:

f(x₂) = x₂² - 3x₂ + 8f(x₂) = 6² - 3(6) + 8f(x₂) = 36 - 18 + 8f(x₂) = 26.

Now, we will substitute the value of f(x₁), f(x₂), x₁ and x₂ in the formula of average rate of change of the function.

Average rate of change of the function = (f(x₂) - f(x₁)) / (x₂ - x₁)avg. rate of change of the function = (26 - 6) / (6 - 1)avg. rate of change of the function = 20 / 5avg.

rate of change of the function = 4

Hence, the average rate of change of the function from x₁ = 1 to x₂ = 6 is 4.

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Answer:

36°

Step-by-step explanation:

108°+ 108°+ 2x+ 2x =360°

4x +216° = 360°

4x= 360°- 216°

Just X= 144°/4

=36°

2x= 2(36)

= 72°

Answer:

3.2

Step-by-step explanation:

Find the area of the full circle:

Area = pi x r^2

Area = 3.14 x 17^2

Area = 907.46 square units

A full circle is 360 degrees. The sector is 120degrees.

Multiply the area of the circle by the sector degrees/ full circle degrees

907.46 x 120/360 = 302.486 square units round off as needed.

Answer:

289/3\(\pi\) m² or 302.6400923... m²

Step-by-step explanation:

These type of questions are very simple, you just have to know how to approach them properly. I'll give you the general structure using this as an example for your understanding.

The general structure goes like this:

Area of a circle is \(\pi r^{2}\), so \(\pi\)×17² = 289\(\pi\) m²

The angle is 120° out of 360°, think of a sector as the percentage of the area of the circle.

120/360 = 1/3

1/3 × 289\(\pi\) = 289/3\(\pi\) m² or 302.6400923... m²

The angle 0° lies on the positive x-axis, also known as the initial side. The terminal side of the angle coincides with the initial side, so it does not fall within any particular quadrant.

Angles are measured counterclockwise from the positive x-axis in the Cartesian coordinate system. The point 0° is an extraordinary case since it begins from the positive x-hub itself. An angle's initial and terminal sides overlap when it begins on the positive x-axis.

Therefore, the angle's initial and terminal sides are aligned with the positive x-axis at 0 degrees. Consequently, the angle's terminal side does not lie within any particular quadrant or axis.

To picture it, envision a point beginning from the beginning (0, 0) and moving along the positive x-hub without heading in a different path. It does not enter any of the quadrants because it is always on the positive x-axis.

As a result, there is no specific quadrant for the terminal side of the angle 0°, which is on the positive x-axis.

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Answer:

148              

Step-by-step explanation:

The triangle are similar because the angle measurements are the same.  

180-51-34 = 95

180-95-51 = 34

If we match up the corresponding sides we see that the side with 45 corresponds to the side with 36.  Now we need to find the scale factor.

Let s = the scale factor

45s = 36  Divide both sides by 45

s = .8

This means that the corresponding length of the triangle on the right is .8 of the triangle on the left.

The corresponding side to x is 79, so 79 x .8 = 63.2.  Now that we know the three sides we can add them together to find the perimeter.

63.2 + 36 + 48.8 = 148

Answer:

Perimeter = 147.9

hope this helps!

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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The expression for the length of the sail is x = 7( tan 50° ).

According to the given question.

The sail of a boat is in the shape of a right triangle.

And, the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.

Now, the side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side

And, the side which we do not know the length to will be the opposite side because it is opposite from where the angle is.  

So, we have the the measure of the adjacent side and the angle of the tip. And we have to find the expression for the length of the sail.

Let the length of the sail be x meters.

Now, in the given right angled triangle

We can say that

tan A = Opposite side/Adjacent side

⇒ tan 50° = x/7

⇒ x = 7( tan 50° )

Hence, the expression for the length of the sail is x = 7( tan 50° ).

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Answer:

0, 6

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

3*3=9

3*4=12

Answer: 3/4

Step-by-step explanation:

9/12 divide by 3/3= 4/3

$580 = 100%

$1 = 100% ÷ 580

$464 = (100% ÷ 580) × 464

= 80%

Therefore,

percentage discount = 100% - 80%

= 20%

i hope my solution helps :))

Based on the table, a relationship which best predicts the end behavior of the graph of f(x) include the following: C. as, x → ∞, f(x) → –∞, And as x → –∞, f(x) → ∞.

In Mathematics and Geometry, a function f(x) is generally considered as an odd function if the following condition holds for all x-values (both positive x-values and negative x-values) in the domain of function f(x):

-f(x) = f(-x) - f (x) = f(-x)

This ultimately implies that, the larger the x-values or independent values (domain) is, the smaller would be the y-values or output values (range). On the other hand (conversely), the smaller the x-values or independent values (domain) is, the larger would be the y-values or output values (range);

x → ∞, f(x) → –∞, And as x → –∞, f(x) → ∞.

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we know that

speed = distance/time

speed = dx/dt

Let x = the distance from the base of the ladder to the base of the wall

y = the distance from the tip of the ladder to the base of the wall, we have:

x^2+y^2 = 13^2

y^2=13^2-12^2 = 169 - 144 = 25 => y = 5 ft

2x dx/dt + 2y dy/dt = 0

2*5* dx/dt + 2*5*(-4) = 0

10 dx/dt = 40

dx/dt = (40/10) ft/sec

dx/dt = 4 ft/sec

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Stan's average speed for the total trip is 55 miles per hour.

Given,

Stan drove 300 miles in 5 hours 20 minutes

Again, Stan drove 360 miles in 6 hours 40 minutes

To find,

Stan's average speed in miles per hour for the total trip

Solution

We can start the problem by calculating the total distance and the total time for the trip. Then we can use the formula for average speed which is;

Average speed = Total distance / Total time

First, let's calculate the total distance covered by Stan in the entire trip;

Total distance covered = 300 + 360= 660 miles

Now, let's calculate the total time taken by Stan in the entire trip;

Total time taken = 5 hours 20 minutes + 6 hours 40 minutes= 12 hours

Now, let's use the formula for average speed and calculate the average speed for the entire trip;

Average speed = Total distance / Total time= 660 / 12= 55 miles per hour

Therefore, Stan's average speed for the total trip is 55 miles per hour.

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Answer:

108

Step-by-step explanation:

divide 9 by 2, you get 4.5. multiply that by 24 and you get your answer.

Answer:

1100

Step-by-step explanation:

I just guessed!

Answer:

2.

Step-by-step explanation:

1+1=2

Answer:

1+1=2

Step-by-step explanation:

Hope this helps :D

Answer:

-1/2

Step-by-step explanation:

m=y2-y1/x2-x1

-12-(-4)=(-8)

0-(-16)=16

-8/16

-8/16=(-1/2)

hope this helps :3

if it did pls mark brainliest

Answer:

y=-2x-36

Step-by-step explanation:

I hope this helps!