convert radians to degrees. which quadrant does this angle lie in? what are the sine, cosine and tangent of the angle ? be sure to show and explain all work.

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

Answer:  76

Step-by-step explanation:

if total number of coins are 50 which is 100%,

50------100%

38------x

x=38*100/50=76

At the 5% level of significance, the machine is not properly calibrated.

To determine if the machine is properly calibrated, we need to conduct a hypothesis test using the given data. Let's define our null and alternative hypotheses as follows:

Null hypothesis (H0): The machine is properly calibrated and the true mean thickness of the widgets is 0.05 inches.

Alternative hypothesis (Ha): The machine is not properly calibrated and the true mean thickness of the widgets is not equal to 0.05 inches.

We will use a two-tailed t-test to test the hypothesis since we have a sample size of 10, and the population standard deviation is unknown. The test statistic for this hypothesis test is calculated as:

t = (x - μ) / (s / sqrt(n))

where x is the sample mean thickness, μ is the hypothesized population mean thickness (0.05 inches), s is the sample standard deviation, and n is the sample size (10).

Plugging in the given values, we get:

t = (0.053 - 0.05) / (0.003 / sqrt(10)) = 3.055

The degrees of freedom for this test is 9 (n - 1). Using a t-table or calculator, we can find the critical t-value for a two-tailed test with 9 degrees of freedom and a significance level of 0.05 to be approximately 2.262.

Since our calculated t-value (3.055) is greater than the critical t-value (2.262), we can reject the null hypothesis at the 5% level of significance. This means that there is sufficient evidence to suggest that the machine is not properly calibrated and that the true mean thickness of the widgets is likely not equal to 0.05 inches.

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Answer

2/3+5/6= is 1.5

Step-by-step explanation:

first do 2/3=0.66666666666

and 5/6=0.83333333333

then do 0.66666666666+0.83333333333=1.5

Answer:

#1: 1 1/2 and #2: 6 1/10

Step-by-step explanation:

Pls mark me brainlist

It takes 22.5 min to complete 1 mile

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

Rate = 1/15mi in 1.5 min

using the above as a guide, we have the following:

Rate = 1/15mi per 1.5 min

Take the inverse

So, we have

Inverse rate = 1.5 min per 1/15mi

Evaluate the quotient

So, we have

Inverse rate = 22.5 min per mile

Hence, it takes 22.5 min to complete 1 mile

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Answer:

\(AB + A = 16\)

Step-by-step explanation:

Given

\(12y^2 - 65y + 42 = (Ay -14)(By - 3)\)

Required

Find \(AB + A\)

\(12y^2 - 65y + 42 = (Ay -14)(By - 3)\)

Expand

\(12y^2 -56y -9y + 42 = (Ay - 14)(By -3)\)

Factorize

\(4y(3y -14) -3(3y - 14) = (Ay - 14)(By -3)\)

Factor out 3y- 14

\((3y - 14)(4y -3) = (Ay - 14)(By -3)\)

By comparison:

\(Ay - 14 = 3y - 14\)

and

\(By - 3 = 4y - 3\)

So, we have:

\(Ay - 14 = 3y - 14\)

Add 14 to both sides

\(Ay = 3y\)

Divide both sides by y

\(A = 3\)

\(By - 3 = 4y - 3\)

Add 3 to both sides

\(By = 4y\)

Divide both sides by y

\(B = 4\)

So, the expression \(AB + A\) is:

\(AB + A = 3 * 4 + 4\)

\(AB + A = 12 + 4\)

\(AB + A = 16\)

In the context of oil fields, the proportion of water (denoted as ρ) in a randomly selected barrel of oil pumped to the surface can be assumed to have a normal distribution.

This means that the distribution of ρ follows a bell-shaped curve with a symmetric shape around its mean (denoted as μ). The mean represents the average proportion of water in the barrels of oil.

The normal distribution is a common assumption in statistics due to its well-understood properties and prevalence in various natural phenomena.

By assuming a normal distribution for ρ, we can make statistical inferences and predictions about the water content in the oil based on sample data and the known characteristics of the normal distribution.

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Three segments a, b, and c using net sales as the basis for allocation is = $475,000.

Based on the given conditions,

Three segments are a , b , c

The segment a of trump enterprises have net sales = $300,000

The segment b of trump enterprises have net sales = $150,000

The segment c of trump enterprises have net sales = $50,000

a net sales + b net sales + c net sales = $300,000 + $150,000 + $50,000

= $500,000

If the unit is eliminated, then the a net sales and b net sales will be gone, but the c net sales will be allocated to other business units.

So instead of losing $500,000,

A decision is made to allocate the pool = $25,000

The company's net sales as the basis for allocation by $500,000 - $25,000 = $475,000

Therefore,

Three segments a, b, and c using net sales as the basis for allocation is =

$475,000.

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(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression.  The correct is option (C).

The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).

We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .

Let us simplify the given expression.

((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)

Now, we need to compare this expression with the expressions given in the answer choices.

Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.

Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.

Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.

Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).

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Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

a. Bisection Method: To use the bisection method to find the real roots of the equation f(x) = x³ + x² - 10x + 8, we need to find an interval [a, b] such that f(a) and f(b) have opposite signs.

Let's make a preliminary estimate and choose the interval [1, 2] based on observing the sign changes in the equation.

Iteration 1: a = 1, b = 2

c = (a + b) / 2

= (1 + 2) / 2 is 1.5

f(c) = (1.5)³ + (1.5)² - 10(1.5) + 8 ≈ -1.375

ince f(c) has a negative value, the root lies in the interval [1.5, 2].

Iteration 2:

a = 1.5, b = 2

c = (a + b) / 2

= (1.5 + 2) / 2 is 1.75

f(c) = (1.75)³ + (1.75)² - 10(1.75) + 8 ≈ 0.9844

Since f(c) has a positive value, the root lies in the interval [1.5, 1.75].

Iteration 3: a = 1.5, b = 1.75

c = (a + b) / 2

= (1.5 + 1.75) / 2 is 1.625

f(c) = (1.625)³ + (1.625)² - 10(1.625) + 8  is -0.2141

Since f(c) has a negative value, the root lies in the interval [1.625, 1.75].

Iteration 4: a = 1.625, b = 1.75

c = (a + b) / 2

= (1.625 + 1.75) / 2 is 1.6875

f(c) = (1.6875)³ + (1.6875)² - 10(1.6875) + 8 which gives 0.3887.

Since f(c) has a positive value, the root lies in the interval [1.625, 1.6875].

Iteration 5: a = 1.625, b = 1.6875

c = (a + b) / 2

= (1.625 + 1.6875) / 2 is 1.65625

f(c) = (1.65625)³ + (1.65625)² - 10(1.65625) + 8 is 0.0873 .

Since f(c) has a positive value, the root lies in the interval [1.625, 1.65625].

Iteration 6: a = 1.625, b = 1.65625

c = (a + b) / 2

= (1.625 + 1.65625) / 2 which gives 1.640625

f(c) = (1.640625)³ + (1.640625)² - 10(1.640625) + 8 which gives -0.0638.

Since f(c) has a negative value, the root lies in the interval [1.640625, 1.65625].

teration 7: a = 1.640625, b = 1.65625

c = (a + b) / 2

= (1.640625 + 1.65625) / 2 results to 1.6484375

f(c) = (1.6484375)³ + (1.6484375)² - 10(1.6484375) + 8 is 0.0116

Since f(c) has a positive value, the root lies in the interval [1.640625, 1.6484375].

Continuing this process, we can narrow down the interval further until we reach the desired level of accuracy.

b. Newton-Raphson Method: The Newton-Raphson method requires an initial estimate for the root. Let's choose x₀ = 1.5 as our initial estimate.

Iteration 1:

x₁ = x₀ - (f(x₀) / f'(x₀))

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 which gives -1.375.

f'(x₀) = 3(1.5)² + 2(1.5) - 10 which gives -1.25.

x₁ ≈ 1.5 - (-1.375) / (-1.25) which gives 2.6.

Continuing this process, we can iteratively refine our estimate until we reach the desired level of accuracy.

c. Secant Method: The secant method also requires two initial estimates for the root. Let's choose x₀ = 1.5 and x₁ = 2 as our initial estimates.

Iteration 1: x₂ = x₁ - (f(x₁) * (x₁ - x₀)) / (f(x₁) - f(x₀))

f(x₁) = (2)³ + (2)² - 10(2) + 8 gives 4

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 gives -1.375

x₂ ≈ 2 - (4 * (2 - 1.5)) / (4 - (-1.375)) gives 1.7826

Continuing this process, we can iteratively refine our estimates until we reach the desired level of accuracy.

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The profit (p) is $7500 generated by selling 1500 units of a certain commodity is given by the function p ( x ) = - 1500 + 12 x - 0.004 x²

To maximize our profit, we must locate the vertex of the parabola represented by this function. The x-value of the vertex indicates the number of units that must be sold to maximize profit.

We may use the formula for the x-coordinate of a parabola's vertex:

x = -b/2a

where a and b represent the coefficients of the quadratic function ax² + bx + c. In this situation, a = -0.004 and b = 12, resulting in:

x = -12 / 2(-0.004) = 1500

This indicates that when 1,500 units are sold, the profit is maximized.

To calculate the greatest profit, enter x = 1500 into the profit function:

P(1500) = -1500 + 12(1500) - 0.004(1500)^2

P(1500) = -1500 + 18000 - 9000

P(1500) = $7500

Therefore, the maximum possible profit is $7,500 and it is generated when 1,500 units are sold.

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To achieve this maximum profit, exactly 1500 units must be sold.

To find the maximum profit and the number of units needed to generate it, we can use the given profit function p(x) = -1500 + 12x - 0.004x^2. We need to find the vertex of the parabola represented by this quadratic function, as the vertex will give us the maximum profit and the corresponding number of units.

Step 1: Identify the coefficients a, b, and c in the quadratic function.
In p(x) = -1500 + 12x - 0.004x^2, the coefficients are:
a = -0.004
b = 12
c = -1500

Step 2: Find the x-coordinate of the vertex using the formula x = -b / (2a).
x = -12 / (2 * -0.004) = -12 / -0.008 = 1500

Step 3: Find the maximum profit by substituting the x-coordinate into the profit function p(x).
p(1500) = -1500 + 12 * 1500 - 0.004 * 1500^2
p(1500) = -1500 + 18000 - 0.004 * 2250000
p(1500) = -1500 + 18000 - 9000
p(1500) = 7500

So, the maximum profit is $7,500, and 1,500 units must be sold to generate it.

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Answer:

y=10

Step-by-step explanation:

Let x equal 0

7(0)+y=10

0+y=10

y=10

Answer:

in triangle ABE

relationship between base and perpendicular is given by tan angle

tan 87.4=p/b

tan87.4=x/25

x=tan 87.4×25=550.54ft

height of the monument=x+5=550.54+5=555.54ft

Step-by-step explanation:

This Is The Answer

Hope It Helps U

Answer:

Sum of real parts: 12

Sum of imaginary parts: 3

Step-by-step explanation:

(22 − 5i) + (−10 + 8i)

Combine the real and imaginary parts in numbers 22 − 5i and −10 + 8i

22 − 10 + (−5 + 8)i

Add 22 to −10. Add −5 to 8

12 + 3i

So, the answer is:

Sum of real parts: 12

Sum of imaginary parts: 3i

The real part is 12, the imaginary part is 3

Answer:

I believe 60 square units in the white rectangle and and 140 square units in the blue. Together would be 200 square units...i think...im sorry if i'm wrong

Step-by-step explanation:

because lxw, 10x6, and lxw, 14x10, add you get 200

Answer:

See attachment

Step-by-step explanation:

Answer:

The Answer is 63.

Step-by-step explanation:

Have a great day :)

Answer:

63

Step-by-step explanation:

.7 x 100 = 70 (because 70% of 100 is 70)

Applying the same logic to 90:

.7 x 90 = 63

Answer: 3.5

Step-by-step explanation:

The best ways to collect data about a new fragrance are through personal interviews with sample testing or online surveys.

Personal interviews allow direct interaction and observation, while online surveys offer convenience and cost-efficiency.

The choice depends on budget, audience, and desired level of interaction.

The best way to collect data in this scenario would be through personal interviews at home or work,

where the respondent tries the fragrance sample before answering the questionnaire.

This method allows for direct interaction, immediate feedback, and the opportunity to observe the respondent's reactions and opinions firsthand.

However, it's important to consider the cost implications and logistics of conducting personal interviews,

as they may require more resources compared to other methods.

Alternatively, online surveys can also be an effective and cost-efficient method.

Respondents can try the fragrance sample at their convenience and provide feedback through an online questionnaire.

This method allows for a larger reach and easier data collection,

but it lacks the direct interaction and observation that personal interviews provide.

Ultimately, the choice of data collection method depends on factors such as budget, target audience, desired level of interaction, and logistical considerations.

A combination of methods may also be considered to maximize data collection and minimize costs.

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The above question is incomplete, the complete question is:

Dior cosmetics wants to collect questionnaire data about the opinions of a new fragrance that has not yet been introduced into the market. The respondent must try a sample of this fragrance before answering the questionnaire, and the investigator must make sure that the cost of the questionnaire is not too high. What is the best way to collect data?

Personal interview at home / work.

Mall intercepts.

Telephone interviews.

Online.

Mail/drop off surveys.

Step-by-step explanation:

p=2(l+w)

p=2(12x-4+2x+10)

p=2(14x+6)

p=28x+12

Answer:

b.

Step-by-step explanation:

No, because -1 is x and -17 is y. if You plug it in, it will look like this:

-17=-1+16

-1+16=15

15 is not equal to -17, so the answer is no, b.

Hope this helps!

Answer:

a.)yes. у=х+16

Answer:

(-1)

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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Answer:

P(1) = 0

Step-by-step explanation:

The  sum of 1 is impossible so that horse will never  get to move

The probability of winning is zero

Answer:

p(1) = 0

Step-by-step explanation:

The horse can't move at all (why it's a bad idea)

The probability of winning is 0

Hope this helps!

Given,

Total no. of bushels = 240

On average, no. of bushels sold by the farmer each day = \(15\frac{3}{5}\) =\(\frac{78}{5}\)

Therefore,

total  no. of bushels sold by the farmer at the end of 6th day

= \(15\frac{3}{5}\) x 6 = \(\frac{78}{5}\) x 6 = 78 x 1.2  =  93.6

So, no. of bushels left = 240 - 93.6 = 146.4

Hence, the change in bushels is of 93.6 after 6 days of sale.

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Answer:

22.25per person

Step-by-step explanation:

72.50*0.0675=4.89

72.50+4.89=77.39

77.39*.15=11.61=89.00

89.00/4=22.25 per person

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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Answer: yes

hope it helped if it did don't forget to drop a heart

Step-by-step explanation: