Elizabeth is going to flip a fair coin 100 times what is the best prediction for tube number of times that the coin will land tails up?

Step-by-step explanation:

6x + 21y = 103

-6x + 23y = 51

The signs of the x coefficients are opposite.  So adding the equations will eliminate the x terms.

44y = 154

y = 3.5

Combining the equations will remove the x terms because the x coefficients have inverse signs. The solution to the given system of linear equations is x = 4.92 and y = 3.5.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

Here is a system of linear equations:

⇒ 6x + 21y = 103

⇒ -6x + 23y = 51

Inverse signs can be seen in the x coefficients. The x terms will therefore be removed after adding the equations.

⇒ 44y = 154

⇒ y = 3.5

Substitute the value of y = 3.5 in the equation 6x + 21y = 103

⇒ 6x + 21(3.5) = 103

⇒ 6x + 73.50 = 103

⇒ 6x = 103 - 73.50

⇒ 6x = 29.50

⇒ x = 4.92

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The probability that a randomly selected point inside a triangle with side lengths 5, 12, and 13 has a distance from the nearest vertex of the triangle less than 2 is approximately 0.4286, or 42.86%.

To find the probability, we can consider the triangle with side lengths 5, 12, and 13 as a right triangle, where the side length 13 represents the hypotenuse. Let's assume the vertices of the triangle are A, B, and C, with AB = 5, AC = 12, and BC = 13.

First, we calculate the area of the triangle using Heron's formula, which gives us √(s(s-a)(s-b)(s-c)), where s is the semiperimeter of the triangle and a, b, and c are the side lengths. In this case, s = (5+12+13)/2 = 15.

Using the formula, the area of the triangle is \(\sqrt{15(15-5)(15-12)(15-13)} = \sqrt{15 \cdot 10 \cdot 3 \cdot 2} = \sqrt{900} = 30\).

Now, let's consider the smaller triangle formed by the original triangle's vertices and a point P inside it. To calculate the probability, we need to find the area of the region where the distance from P to the nearest vertex is less than 2.

If we draw circles centered at each of the vertices A, B, and C with radius 2, the area enclosed by these circles within the triangle represents the region we are interested in.

Calculating the areas of these circles, we find that each circle has an area of 4π. Since there are three circles, the total area of the enclosed region is 3 × 4π = 12π.

Therefore, the probability that a randomly selected point inside the triangle has a distance from the nearest vertex less than 2 is given by (12π / 30) = (2π / 5), which is approximately 0.4286 or 42.86%.

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Answer:

#4

Step-by-step explanation:

The volume of Prism A:

LxBxH

=6x5x1

=30

The volume of Prism B:

LxBxH

=6x2x2

=24

30+24=54

Step 1: Suppose, for the sake of contradiction, that there are integers A and B such that A2 = 3B2 + 2015. Let N = A2. Then, N ≡ 1 (mod 3).

Step 2: By the Legendre symbol, since (2015/5) = (5/2015) = -1 and (2015/67) = (67/2015) = -1, we know that there is no integer k such that k2 ≡ 2015 (mod 335).

Step 3: Let's consider A2 = 3B2 + 2015 (mod 335). This can be written as A2 ≡ 195 (mod 335), which can be further simplified to N ≡ 1 (mod 5) and N ≡ 3 (mod 67).

Step 4: However, since (2015/5) = -1, it follows that N ≡ 4 (mod 5) is a contradiction.

Therefore, there are no integers A, B such that A2 = 3B2 + 2015.

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Answer:

DJthresh

ugh yet the wasn't Hagel

Answer: Question # 9: About 17.5 m

Question # 8: 20 m

Step-by-step explanation:

To find the hypotenuse for both figures you have to "add the squares of the other sides, then after that, take their square root.

For # 9 You would add 9² + 15² = 306, √306 = 17.492... so about 14.5

For # 8 the equation would be 16² + 12² = 400, √400 = 20

*Mic Drop*

Answer:

144 cm²

Step-by-step explanation:

There are five total sides to the triangular prism. The formula for the area of a rectangle is length · width. The formula for the area of a triangle is 1/2 base · height.

10 · 4 = 40

6 · 4 = 24

8 · 4 = 32

1/2(6 · 8) = 48/2 = 24

1/2(6 · 8) = 48/2 = 24

Add the surface area for each side to get the total surface area.

40 + 24 + 32 + 24 + 24 = 144 cm²

Answer:

The bird moves faster

Step-by-step explanation:

Here, we want to get which of the two moves faster

This is a matter of speed

14,000 to km would be;

14,000/0.62 = 22,581 km

There is a rest of 8 hours per day

So 16 hours is used in moving

for 90 days, the total

time spent moving is 16(90) = 1,440 hours

So, the speed is generally

distance/time = 22.581/1,440 = 15.68215 km/h

For the person

100 minutes is same as 60 + 40 minutes

= 1 hour + 40/60

40/60 = 2/3 = 0.667

So the total

time is 1.667 hours

The speed is thus;

20/1.667 = 12 km/h

Comparing the two speeds, we can see that the bird moves faster

In this exercise we have to identify who has the highest speed, for this it will be necessary to use the definition of distance, in this way we have:

The bird moves faster

Then from the velocity we find that:

\(16(90) = 1,440 hours\\ 14,000/0.62 = 22,581 km\)

So, the speed is generally, can be caculated as:

\(distance/time = 22.581/1,440 = 15.68215 km/h\)

\(20/1.667 = 12 km/h \)

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To find the area of B:

divide B into section like the attached figure:

the area of triangle 1 = 0.5 * 1 * 5 = 2.5 square units

the area of triangle 2 = 0.5 * 2 * 2 = 2 square units

the area of triangle 4 = 0.5 * 2 * 2 = 2 square units

the are of rectangle 3 = 3 * 4 = 12

so, the area of Figure B = 2.5 + 2 + 2 + 12 = 18.5 squre units

To find the area of A

We can divide the area into two shapes

square and triangle

i will attach a figure for good explanation :

so, the area of the square = 3 * 3 = 9 square units

and the area of the triangle = 0.5 * base * height = 0.5 * 1 * 3 = 1.5 square units

So, the area of A = 9 + 1.5 = 10.5 square units.

4x-3y =36

Move the constant to the left by adding its opposite to both sides

4x-3y-36=36-36

The sum of two opposites equals 0

Answer: 4x-3y-36=0

PLEASE MARK ME AS BRAINLIEST

Answer: Dome Fuji, in Antarctica, is the coldest place in the world with a record low of –92 degrees.

Step-by-step explanation:

The formula for y in terms of x when x and y are in direct proportion is y = x/4.

The formula connecting x and y when x and y are in inverse proportion is xy = 400.

When two variables x and y increase or decrease at the same pace, they are said to be in direct proportion. The ratio of x to y is hence constant.

Given that x = 40 and y = 10 when x and y are in direct proportion, we can write:

x/y = 40/10

Simplifying the ratio gives:

x/y = 4

To find a formula for y in terms of x, we can manipulate the above equation to isolate y:

x/y = 4

y/x = 1/4 (dividing both sides by x)

y = x/4

When two variables x and y have an inverse relationship, their product is said to be constant. So that xy = k, where k is a constant, y reduces as x grows and vice versa.

Given that x = 40 and y = 10 when x and y are in inverse proportion, we can write:

xy = k

Substituting the values of x and y gives:

40 × 10 = k

k = 400

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The experimental probability of selecting card A is 5/30, or 1/6.

In this scenario, the total number of trials is 30, and the number of successes (selecting card A) is 5. Therefore, the experimental probability of selecting card A is 5/30, or 1/6.

In this experiment, a card is randomly selected from a bag and then put back in the bag 30 times. The bag contains six cards labeled A through F. After the 30 trials, the number of times card A was selected is 5. Therefore, the experimental probability of selecting card A is 5/30, or 1/6. This is calculated by dividing the number of successes (selecting card A) by the total number of trials (30). This means that, if the experiment is repeated, card A would be selected approximately one out of every six times.

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The evolution of the function call (things '(11 -2 31)) is as follows:

(things '(11 -2 31)) -> (things '(-2 31)) -> (things '(31)) -> (things '()) -> '() the final result of the given call is '().

The given function is a recursive function called "things" that takes a list as input. It checks if the list is empty (null), and if so, it returns an empty list. Otherwise, it checks if the first element of the list (car x) is greater than 10. If it is, it adds 1 to the first element and recursively calls the "things" function on the rest of the list (cdr x). If the first element is not greater than 10, it subtracts 1 from the first element and recursively calls the "things" function on the rest of the list. The function then returns the result.

Now, let's see the evolution resulting from the call (things '(11 -2 31)):

1. (things '(11 -2 31))

  Since the list is not empty, we move to the next if statement.

  The first element (car x) is 11, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(-2 31)).

2. (things '(-2 31))

  Again, the list is not empty.

  The first element (car x) is -2, which is not greater than 10, so we subtract 1 from it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '(31)).

3. (things '(31))

  The list is still not empty.

  The first element (car x) is 31, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.

  The recursive call is (things '()).

4. (things '())

  The list is now empty, so the function returns an empty list.

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Answer:

Step-by-step explanation:

x/4 - 3 = 0

x/4 = 3

x = 12

Answer:

12

Step-by-step explanation:

x/4-3 =0 /×4

x - 12 =0

x=12

Answer:

1)

a. 5.29 cm

b. 17.8 m

c. 9.75 in

d. 12 cm

e. 8.31 ft

f. 25.46 m

Step-by-step explanation:

Have a good day :)

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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Answer:

Im not really sure, how many equations do you need? Do you one whole equation or 2?

The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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Answer:

same bud

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

Here, we want to find the value of x

mathematically, the mean is the sum of the numbers divided by the count of the numbers

The count of the numbers is 5

So we have;

(16 + 14 + x + 23 + 20)/5 = 18

73 + x = 5(18)

73 + x = 90

x = 90-73

x = 17

Answer:

c. 36 people

pls mrk me brainliest

Answer:

The answer would indeed be C. 36 people.

To determine the number of people who went to the Harlem Globetrotters game, we divide the total amount spent ($137.50) by the cost per ticket ($27.50). The result indicates that five people went to the game.

If the tickets for the Harlem Globetrotters game cost $27.50 per person, and you spent a total of $137.50, we can calculate the number of people who attended the game by dividing the total amount spent by the cost per ticket.
Dividing $137.50 by $27.50 gives us 5. Therefore, the answer is that five people went to the Harlem Globetrotters game.
This calculation works because we are essentially finding the number of times $27.50 can be divided into $137.50. Since each person requires one ticket, the number of people who attended the game corresponds to the number of times the ticket price can be evenly divided into the total amount spent.

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Therefore, the dimensions of the kennel are 3.5 feet by 9 feet.

In mathematics, area is a measure of the amount of space inside a two-dimensional shape, such as a rectangle, circle, triangle, or polygon. It is expressed in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²). Knowing the area of a shape can be useful in many real-world situations, such as calculating the amount of paint needed to cover a wall, determining the size of a piece of land, or estimating the amount of material needed for a construction project.

Here,

Let the length of the kennel be L and the width be W. Since we are using 25 feet of fence material, the total length of fencing we need is:

2L + W = 25 - 9 = 16

We also know that one side of the kennel is 9 feet long, so we can substitute W = 9 into the equation above to get:

2L + 9 = 16

Subtracting 9 from both sides gives:

2L = 7

Dividing by 2 gives:

L = 3.5

So the length of the kennel is 3.5 feet and the width is 16 - 2(3.5) = 9 feet.

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Answer:

\(\boxed{f^{-1}(x)=\sqrt[7]{\frac{y}{36}}}\)

Step-by-step explanation:

The inverse of the function satisfies the following:

\(f(a)=b \qquad \Rightarrow \qquad f^{-1}(b)=a\)

Given the expression:

\(f(x)=36x^7\)

The inverse function can be calculated with the next steps:

\(\begin{aligned}f(x)=36x^7 & \rightarrow y=36x^7 \\ &= \frac{y}{36}=x^7 \\ &= \sqrt[7]{\frac{y}{36}}=x \\& \therefore f^{-1}(x)= \sqrt[7]{\frac{y}{36}}\end{aligned}\)

\(\text{-B$\mathfrak{randon}$VN}\)

The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

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When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

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The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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The correct decision in a hypothesis test when the data produces a t-statistic that is in the critical region is to reject the null hypothesis.

This is because a t-statics in the critical region indicates that the differences between the sample mean and the population mean are statistically significant. This means that the data indicates that the null hypothesis is wrong and that the alternative hypothesis is true. In a hypothesis test, the null hypothesis is what the researcher is trying to disprove. It is the general statement that suggests that there is no difference between the sample mean and the population mean. The alternative hypothesis is what the researcher is attempting to prove. It suggests that there is a difference between the sample mean and the population mean. Therefore, when the data produces a t-statistic that is in the critical region, it indicates that the alternative hypothesis is true. When a t-statistic is in the critical region, it means that the result is statistically significant. This means that the differences between the sample mean and the population mean are unlikely to have occurred by chance and that the alternative hypothesis is likely to be true. Therefore, when the data produces a t-statistic that is in the critical region, the correct decision is to reject the null hypothesis and accept the alternative hypothesis.

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Step 1: Simplify both sides of the equation.

Step 2: Subtract 1/3x from both sides.

Step 3: Add 7 to both sides.

Step 4: Multiply both sides by 6.

Answer:

x=18