1
What is the circumference of this circle? Use 3.14 for TT.
12 cm​

Answer:

76.2 cm

Step-by-step explanation:

If you convert, said inches, it wouldn't be an exact number, but it would equal 76.2.

Answer: yes by SSS

hit the like button if it is correct :D

Test cases for decision coverage are developed to ensure that the true or false outcome of each decision number point is tested at least once.

To achieve decision coverage, we need to create test cases that cover all possible outcomes of each decision point.

Each test case should exercise both the true and false branches of the decision. Here are some example test cases in the format [x, y]:

1. [true, false]: Test the decision point with the true outcome and then with the false outcome.
2. [false, true]: Test the decision point with the false outcome and then with the true outcome.
3. [true, true]: Test the decision point with both outcomes being true.
4. [false, false]: Test the decision point with both outcomes being false.
5. [true]: Test the decision point with only the true outcome.
6. [false]: Test the decision point with only the false outcome.

By developing and executing these test cases, we ensure that we have covered all possible outcomes of each decision point, thus achieving decision coverage.

This helps uncover any potential issues or inconsistencies in the decision-making logic.

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Answer:1st and 3rd

Step-by-step explanation:

Answer: (-4, -2) and (-13, 0)

Used a calculator

Answer:

56

Step-by-step explanation:

We can mark the blue cars as x, so now, we have 9:7, and 72:x, we can use cross multiplication to get the value of x, 72*7 = 9x, which we can simplify into 504 = 9x, and can divide both sides by 9 to get 56 = x.

Hope it helped!

The probability that the total sum of all rolls does not exceed 375 is approximately 0.7165

Assuming the die is a fair six-sided die, the possible outcomes for each roll are numbers 1 through 6, each with a probability of 1/6.

Let X be the total sum of all rolls. Then X follows a discrete uniform distribution with parameters n = 104 (number of rolls) and a = 1 (minimum value of each roll). The expected value of X is:

E(X) = n × (a + b) / 2 = 104 × (1 + 6) / 2 = 365

The variance of X is

Var(X) = n × (b - a + 1)^2 / 12 = 104 × 6^2 / 12 = 312

The standard deviation of X is

SD(X) = sqrt(Var(X)) = sqrt(312) = 17.67

To calculate the probability that the total sum of all rolls does not exceed 375, we need to calculate the cumulative distribution function (CDF) of X and evaluate it at 375

P(X <= 375) = F(375)

where F(x) = P(X <= x) is the CDF of X.

Using the normal approximation to the binomial distribution, we can approximate X as a normal distribution with mean E(X) = 365 and standard deviation SD(X) = 17.67

Z = (X - E(X)) / SD(X)

Z follows a standard normal distribution with mean 0 and standard deviation 1.

P(X <= 375) = P(Z <= (375 - E(X)) / SD(X))

= P(Z <= (375 - 365) / 17.67)

= P(Z <= 0.566)

Using a standard normal distribution table or a calculator, we can find that P(Z <= 0.566) is approximately 0.7165.

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The given question is incomplete, the complete question is :

A die is continuously rolled 104 times. what is the probability that the total sum of all rolls does not exceed 375 ?

(2, 1,985.5) is not a solution of the equation y = 2200(0.95)x.

What is solution of an equation?

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Consider, the given equation

y = 2200(0.95)x

And the point given is, (2, 1985.5).

From this x = 2, y = 1985.5

Plug x = 2 in the above equation,

y = 2200(0.95)(2)

y = 4180 ≠ 1985.5

Hence, the given point (2, 1985.5) is not a solution to the equation

y = 2200(0.95)x.

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Answer:

B

Step-by-step explanation:

Hi,

2πr is the formula for circumference, you know your diameter is 4cm and radius is half of the diameter, so your radius is 2cm.

To find the circumference, you have to multiply 2 by 2 and pie. 2 x 2 is 4. So 4 times pie. B is your correct answer.

I hope this helps :)

The cost function C(x) for using the moving firm can be expressed as :C(x) = 45 + 40x

In this equation, x represents the number of hours of service provided by the moving firm. The flat fee of $45 is added to the product of $40 per hour and the number of hours (x) to calculate the total cost in dollars.

Let's break down the cost function in more detail.

In the problem, the moving firm charges a flat fee of $45. This flat fee is a fixed cost that the customer incurs regardless of the number of hours of service provided.In addition to the flat fee, the moving firm charges $40 per hour of service. This is the variable cost that depends on the number of hours (x) of service.

To calculate the total cost (C(x)) of using the moving firm, we add the flat fee of $45 to the product of $40 and the number of hours (x):

C(x) = 45 + 40xFor example, if the customer uses the moving firm for 2 hours (x = 2), the total cost would be:

C(2) = 45 + 40(2) = 45 + 80 = $125

If the customer uses the firm for 5 hours (x = 5), the total cost would be:

C(5) = 45 + 40(5) = 45 + 200 = $245

So, the cost function C(x) gives the total cost in dollars based on the number of hours of service provided by the moving firm. The $45 flat fee covers the fixed cost, and the $40 per hour accounts for the variable cost based on the number of hours.

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Answer:

y = -3x + 2

Step-by-step explanation:

To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2

Answer:

-3x+2=y

Step-by-step explanation:

u need to find the slope intercept formula which mx+b=y

m=slope

b=y-intercept

first u should find the slope which is y2-y1/x2-x1

point 1:(1,-1)

point 2:(3,-7)

-7+1/3-1=-6/2=-3

m=-3

now replace the variables

-3(1)+b=-1

-3 times 1=-3

-3+b=-1

add 3 to both sides

b=2

now the equation is -3x+2=y

Answer:

3.41

Step-by-step explanation:

41/12

For a set of exactly n distinct real numbers, the multiplications are used to compute the product of these n numbers no matter where the parentheses are inserted into their product.

We have n distinct real numbers denoted as a₁, a₂…. aₙ. We have prove that multiplication is used induction to compute the product of these n numbers no matter parentheses are inserted or not. Now, proof by strong induction :

Base Case : n = 1, the product a requires 1- 1 = 0, multiplications.

Inductive hypothesis : assume that a₁ x a₂ x...x aₖ require k - 1, multiplications for all k , 1≤ k ≤ n.

Inductive step: Consider the last multiplication (any last multiplications no matter how the parentheses are inserted) used to compute the product of a₁ x a₂ x...x aₙ₊₁, it must be the product of k of these numbers and (n + 1- k) of these numbers, for some k, 1≤ k ≤ n. By the inductive hypothesis, those two products requires (k - 1 ) and (n - k) multiplications, respectively. Counting the last multiplication, the total-multiplications needed for, a₁ x a₂ x...x aₙ₊₁, 1≤k≤n, is thus (k- 1) + (n - k) + 1 = n = (n +1) - 1. Hence, the theorem proved.

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The confidence level for each of the given large-sample one-sided confidence bounds is approximately 80%, 90%, and 65% for (a), (b), and (c), respectively.

Based on the given formulas, we can determine the confidence level for each of the large-sample one-sided confidence bounds as follows:

a. Upper bound: ¯
\(x+.84s\sqrt{n}\)

This formula represents an upper bound where the sample mean plus 0.84 times the standard deviation divided by the square root of the sample size is the confidence interval's upper limit. The confidence level for this bound can be determined using a standard normal distribution table. The value of 0.84 corresponds to a z-score of approximately 1.00, which corresponds to a confidence level of approximately 80%.

b. Lower bound: ¯
\(x−2.05s√n\)

This formula represents a lower bound where the sample mean minus 2.05 times the standard deviation divided by the square root of the sample size is the confidence interval's lower limit. The confidence level for this bound can also be determined using a standard normal distribution table. The value of 2.05 corresponds to a z-score of approximately 1.64, which corresponds to a confidence level of approximately 90%.

c. Upper bound: ¯
\(x + .67s\sqrt{n}\)

This formula represents another upper bound where the sample mean plus 0.67 times the standard deviation divided by the square root of the sample size is the confidence interval's upper limit. Again, the confidence level for this bound can be determined using a standard normal distribution table. The value of 0.67 corresponds to a z-score of approximately 0.45, which corresponds to a confidence level of approximately 65%.

In summary, the confidence level for each of the given large-sample one-sided confidence bounds is approximately 80%, 90%, and 65% for (a), (b), and (c), respectively.

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The average cost per unit when the maximum profit is achieved is $1.95.

a) The profit function can be found by subtracting C from p: p(x) = p(x) - C(x) = (8 - 0.1x) - (17 + 0.25x) = -9 - 0.35x

We need to find the number of units that would maximize the profit, which can be done by finding the derivative of the profit function and setting it to zero:

dp/dx = -0.35 = 0-0.35x = 0x = 10

Therefore, the number of units that would maximize the profit is 10.

b) To find the price that would obtain the maximum profit, we can substitute x = 10 into the price function: p(10) = 8 - 0.1(10) = 7.

Therefore, the price should be $7 to obtain the maximum profit.

c) The average cost per unit when the maximum profit is achieved can be found by dividing the total cost (C) at x = 10 by 10 (the number of units sold): C(10) = 17 + 0.25(10) = 19.5

Average cost per unit = C(10)/10 = 1.95

Therefore, the average cost per unit when the maximum profit is achieved is $1.95.

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Answer:

10.49

Step-by-step explanation:

FG= squareroot(10)(11) =10.49 took quiz too

Answer:

Step-by-step explanation:

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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The intervals that contain 11 states, are given as follows:

The bar graph presented by the image shown at the end of the answer shows the number of states present in each interval.

The features of the graph are given as follows:

Then the number of states for each interval are given as follows:

Hence the intervals 3 to 6 and 6 to 9 are the intervals that contain 11 states, being the correct answers to this problem.

The bar graph is given by the image shown at the end of the answer.

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The two missing angles of the diagram are:

∠HDG = 117°

∠FDG = 180°

We know that sum of angles on a straight line is 180 degrees.

We also know that two angles that sum up to 180 degrees are referred to as supplementary angles.

From the given image, we see that:

∠HDF is given as 63°.

Thus:

∠HDG = 180 - 63

∠HDG = 117°

Thus, it means that ∠FDG is 180 degrees

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Answer:

c = 2

Step-by-step explanation:

Since the polynomial has a zero at x = \(\frac{1}{4}\) , then p(\(\frac{1}{4}\) ) = 0, then

p(\(\frac{1}{4}\) )

- \(\frac{1}{4}\) + 4(\(\frac{1}{4}\) )² + c(\(\frac{1}{4}\) )³ - 8\((\frac{1}{4}) ^{4}\) = 0

- \(\frac{1}{4}\) + 4(\(\frac{1}{16}\) ) + c(\(\frac{1}{64}\) ) - 8(\(\frac{1}{256}\) ) = 0

- \(\frac{1}{4}\) + \(\frac{1}{4}\) + \(\frac{c}{64}\) - \(\frac{1}{32}\) = 0 , simplifying gives

\(\frac{c}{64}\) - \(\frac{1}{32}\) = 0 ( add \(\frac{1}{32}\) to both sides )

\(\frac{c}{64}\) = \(\frac{1}{32}\) ( multiply both sides by 64 )

c = 2

Answer:

2,120 or 2,121.8

Step-by-step explanation:

It depends on the answers

3% of 2,000 is 60 dollars you add the 60 dollars to the bank account 2000 + 60 = 2060 3% of 2060 is 61.8

during the Ferris wheel ride, 0.6 minutes are spent higher than 9 meters above the ground.

What is Fraction?

Fraction: In mathematics, a fraction is used to express a part/part of a whole. It represents equal parts of a whole. A fraction has two parts namely numerator and denominator. The top number is called the numerator, the bottom number is called the denominator.

To solve this problem, we can break it down into steps:

Step 1: Find the radius of the Ferris wheel.

The diameter of the Ferris wheel is given as 10 meters, and the radius is half of the diameter. So the radius of the Ferris wheel is 10 / 2 = 5 meters.

Step 2: Determine the height of the Ferris wheel when it is at the six o'clock position.

At the six o'clock position, the Ferris wheel is level with the loading platform, which is 3 meters above the ground. Therefore, the height of the Ferris wheel at the six o'clock position is 3 meters.

Step 3: Calculate the total distance traveled by the Ferris wheel in one revolution.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the circumference of the Ferris wheel is C = 2π(5) = 10π meters.

Step 4: Determine the time taken for one revolution.

The problem states that the Ferris wheel completes one full revolution in 6 minutes.

Step 5: Find the distance covered by the Ferris wheel in the vertical direction during one revolution.

The distance covered by the Ferris wheel in the vertical direction during one revolution is equal to its diameter, which is 10 meters.

Step 6: Calculate the time spent higher than 9 meters above the ground.

Since the diameter of the Ferris wheel is 10 meters, the highest point it reaches is 10 meters above the ground. We need to determine the time spent between 9 meters and 10 meters above the ground.

To do this, we calculate the fraction of the total distance covered by the Ferris wheel that corresponds to the distance between 9 meters and 10 meters. The difference between 10 meters and 9 meters is 1 meter. So the fraction of the total distance covered is 1 meter divided by 10 meters, which is 1/10.

Since the Ferris wheel takes 6 minutes to complete one revolution, the time spent higher than 9 meters above the ground is equal to 1/10 of 6 minutes.

Step 7: Perform the calculations.

1/10 of 6 minutes is (1/10) * 6 = 0.6 minutes.

Therefore, during the Ferris wheel ride, 0.6 minutes are spent higher than 9 meters above the ground.

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The reactions at supports A and B are R1 ≈ 404.3 lbs and R2 ≈ 404.3 lbs respectively.

Here is a step by step solution to find the reactions at supports a and b,

f = 340 lbs, l1 = 6 ft, l2 = 6 ft, and θ = 70°.

Step 1: Draw the free body diagram of the given system with all the forces acting on it and their directions. The diagram would look like this:  

Step 2: Label the unknown forces with variables and directions. Here, we have two unknown forces R1 and R2 acting at supports A and B respectively.  

Step 3: Apply the equations of equilibrium for the x-axis and y-axis.

For the x-axis, \(\sum Fx = 0\)

\(R1cos\theta - R2cos\theta = 0R1 \\= R2\)

For the y-axis, \(\sum Fy = 0\)

\(R1sin\theta+ R2sin\theta - f = 0\)

\(R1sin\theta = f - R2sin\theta\)

Step 4: Substitute the values of f, θ and R1 in the equation of y-axis

\(R2sin\theta = f - R1sin\theta\)

\(R2sin70\textdegree= 340 - R1sin70\textdegree\)

Step 5: Substitute the value of R1 from equation of x-axis

\(R2sin70\textdegree = 340 - R2sin70\textdegree\)

\(sin70\textdegree R2 = 340/sin70\textdegree + R2cos70\textdegree\)

\(cos70\textdegree R2 = 340/sin70\textdegree + R2sin20\textdegree\)

\(sin20\textdegree R2 - R2sin20\textdegree sin70\textdegree= 340/sin70\textdegree\)

\(R2(1 - sin20\textdegree sin70\textdegree) = 340/sin70\textdegree\)

R2 = (340/sin70°)/(1 - sin20°sin70°)\(R2 = (340/sin70\textdegree)/(1 - sin20\textdegree sin70\textdegree)\)

R2 ≈ 404.3 lbs

Step 6: Substitute the value of R2 in the equation of x-axis R1 = R2 ≈ 404.3 lbs

Therefore, the reactions at supports A and B are R1 ≈ 404.3 lbs and R2 ≈ 404.3 lbs respectively.

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The pairs of equivalent expressions matched together are;

(-14+3/2b)+(1+8/2b) = -15-5/2b

(5+2b)+(2b+3/2) = 4b+13/2

(7/2b-3)-(8+6b) = -5/2b-11

(-10+b)+(7b-5) = 8b-15

Following PEMDAS

P = parenthesis

E = Exponents

M = Multiplication

D = Division

A = Addition

S = subtraction

(-14+3/2b)-(1+8/2b)

open parenthesis

= -14 + 3/2b - 1 - 8/2b

combine like terms

= -15 + 3/2b - 4b

= -15 + (3b-8b)/2

= -15 + 5/2b

(5+2b)+(2b+3/2)

open parenthesis

= 5 + 2b + 2b + 3/2

= 4b + (10+3)/2

= 4b + 13/2

(7/2b-3)-(8+6b)

= 7/2b - 3 - 8 - 6b

= (7b-12b)/2 -11

= -5/2b - 11

(-10+b)+(7b-5)

= -10 + b + 7b - 5

= -15 + 8b

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Answer:

See solutions below

Step-by-step explanation:

2) angle at the vertex is half that of its intercepted arc;

51 = 1/2(14x-38)

51*2 = 14x-38

102 = 14x-38

14x = 102 + 38

14x = 140

x = 140/10

x = 14

3) 9x+7 = 1/2(68)

9x + 7 = 34

9x = 34-7

9x = 27

x = 27/9

x = 3

4) 114 = 1/2(30-(8x-36+40))

114 = 1/2(360-8x+36-40)

114*2 = 356 - 8x

-8x = 228-356

-8x = -128

x = 128/8

x = 16

Answer:2

Step-by-step explanation:

51+14x-38=180

13+14x=180

14=167

X=12

Answer:

The answer is 2880 I might be wrong

Answer:

The discount was 24%.

Step-by-step explanation:

24% of 50 is 12.

Answer:

It should I only looked at the first few columns and the matched up

Step-by-step explanation: