Find the value of x. Show all of your work to earn full credit. DON'T SKIP STEPS!

Answer:

the length of the base of the ramp is 28.27 inches

Step-by-step explanation:

The computation of the length of the base of the ramp is shown below:

Let us assume x be the length of the base of  the ramp

Now the following formula should be used

tan = opposite ÷ adjacent

tan 23 degrees = 12 ÷ x

x = 12 ÷ tan 23 degrees

= 12 ÷ 0.42447482

=28.27 inches long

Hence, the length of the base of the ramp is 28.27 inches

Answer:

x = 20

Step-by-step explanation:

100 + 3x + x = 180

100 + 4x = 180

- 100          -100

4x = 80

÷4   ÷4

x = 20

360° is a full circle, and since this is half you set the numbers equal to 180°

I hope this helps!

Answer:

Step-by-step explanation:

8b - 7 = 7b - 2

Bringing like terms on one side

8b - 7b = - 2 + 7

B = 5

-12 + 5k = 15 - 4k

Bringing like terms on one side

5k + 4k = 15 + 12

9k = 27

k = 27/9 = 3

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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The length of the ramp, which is the hypotenuse of a right triangle, can be found using the formula:

length = horizontal distance / sin(angle)

Plugging in the given values, we get:

length = 14 feet / sin(9º)

Using a calculator, we find:

length ≈ 85.67 feet (rounded to two decimal places)

Therefore, the length of the ramp is approximately 85.67 feet.

Answer: Choice C.

How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon.

==========================================================

Explanation:

Let's consider a similar problem without the fractions.

Let's say you want to know how many 2 meter lengths of ribbon you can cut from an overall length of 24 meters. That would be 24 ÷ 2 = 12 pieces total.

So we divide the two values (large ÷ small)

The same idea applies to this problem as well. The larger amount (3 & 1/2 meters) is what we cut up, and each slice is 1/4 of a meter. To find the number of pieces, we would compute 3 1/2÷1/4

Note: it might help to convert the mixed number 3 & 1/2 to the improper fraction 7/2

Answer:

znvipahgvahgv

Step-by-step explanation:

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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The expected number of failures in 1 year is 8.9948.

The authors calculate a failure rate for PVC pipe of 0.0081 per 100 miles of pipe per day in 2008. Think of a 100-mile section of this pipe.

(I)

Given;

Mean failures per day = 0.0081

So,

Expected number of failures in 1 year = 0.0081 * 365

                                                               = 8.9948

(II)

Poisson Distribution with λ = 8.9948 is given by:

\(P(x) =\frac{e^-^8^.^9^9^4^8 8.9948^0}{x!}\)

             ⇒ for x = 0, 1, 2,. . . .

P(At least 1 failure) = 1- P(X=0);

\(P(x) = \frac{e^-^8^.^9^9^4^8 8.9948^0}{0!} = \frac{0.00012*1}{1}\)

        = 0.00012    

So,

P(At least 1 failure) = 1 - 0.00012 = 0.99988

Hence, the expected number of failures in 1 year is 8.9948.

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Answer:

1.5(2x5)

Step-by-step explanation:

just swap the things in the parenthases

could u vote me brainliest plz? thx :)

Answer:

3

Step-by-step explanation:

cross multiply it by 2 and 3 respectively

Answer:

Step-by-step explanation:

The perimeter of rectangle could be  50.6 if a rectangle has an area of 7. 5 and One of the sides is 0. 3m in length.

What is Area of rectangle ?

area of rectangle could be the product of its sides that is length and breadth.

Given the area of rectangle is 7.5

one of its side, length = 0.3

let other side be x .

area = length*breadth

7.5 = 0.3 * x

x = 25

hence , other side could be 25.

perimeter of rectangle = 2 (length+breadth)

= 2 * (25+0.3)

= 2 * (25.3)

= 50.6

Hence, The perimeter of rectangle is 50.6

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The most accurate statement in this scenario is option B) For the 50% bonus level, the critical value is -1.65 and Huffman should give Brickley a 50% bonus.

To understand why this statement is accurate, let's go through the steps:

1) We are given that the population turnover rates are normally distributed with a population standard deviation of 1.5%. This information allows us to use statistical tests to make inferences about the population based on a sample.

2) A recent sample of 100 branch offices resulted in an average turnover rate of 24.2%. This sample average is a point estimate of the population average turnover rate.

3) We want to determine whether Brickley should receive the 50% bonus or not. To make this decision, we need to perform a hypothesis test.

4) The null hypothesis (H0) in this case is that Brickley cannot reduce turnover to less than 25%. The alternative hypothesis (Ha) is that Brickley can reduce turnover to less than 25%.

5) Using a significance level of 10%, we need to find the critical value. In this case, the critical value for a one-tailed test is -1.65.

6) We calculate the test statistic by subtracting the population mean from the sample mean and dividing it by the standard error of the sample mean. The standard error is the population standard deviation divided by the square root of the sample size.

7) The test statistic in this case is not given, but based on the information provided, we cannot calculate a test statistic of -533 or -10.66.

8) Since the test statistic is not provided, we cannot make a decision based on it. Instead, we compare the sample mean (24.2%) with the critical value (-1.65) to determine whether it falls in the rejection region or not.

9) If the sample mean falls in the rejection region (less than -1.65), we reject the null hypothesis and conclude that Brickley can reduce turnover to less than 25%. In this case, Huffman should give Brickley a 50% bonus.

10) Based on the information given, we cannot determine whether the sample mean falls in the rejection region or not. Therefore, we cannot make a definitive decision regarding the bonus.

In conclusion, option B) is the most accurate statement as it correctly states the critical value for the 50% bonus level, but it does not provide enough information to make a final decision about the bonus.

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The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

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Answer:

Perimeter = 16x-20 units

Step-by-step explanation:

Given: 16x^2 - 40x + 25

Reduce perfect square trinomial: (4x-5)(4x-5)

4x-5 is your side length. Since the perimeter of a square is 4s, then the perimeter is 4(4x-5)=16x-20

Answer:

the answer is C

Step-by-step explanation:

In interval notation, the domain is (1, ∞).

The Riemann zeta function for real numbers is defined as ζ(x) = ∑n=1 to ∞ (n^-x) for all x for which the series converges.

To find the domain of the function, we need to determine for which values of x the series converges.

Using the p-series test, we know that the series ∑n=1 to ∞ (n^-x) converges if x > 1. Therefore, the domain of the Riemann zeta function is x > 1.

In interval notation, the domain is (1, ∞).

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An interesting relationship in the population may fail to achieve statistical significance if there are too few observations or sample size is too small.

Statistical significance is a measure of the probability that the observed relationship between variables in a sample could have occurred by chance alone. When a relationship is statistically significant, it means that the probability of observing the relationship by chance is very low, typically less than 5% (p < 0.05).

However, if the sample size is too small, there may not be enough data to detect a real relationship between variables, even if it exists in the population. In such cases, the observed relationship may not be statistically significant, even though it is important and meaningful.

Increasing the sample size can help to increase the power of the analysis, making it more likely to detect a true relationship between variables. Thus, having a sufficiently large sample size is important for achieving statistical significance and for making reliable conclusions about the relationship between variables.

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The determinant of A is 4.

A matrix is a rectangular array of numbers arranged in rows and columns. In this question, we are given a 2 by 2 real matrix A, which can be written as:

   A = [a  b]

           [c  d]

where a, b, c, and d are real numbers.

where I is the identity matrix. The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

This notation means that the matrix tA is equal to 8 times the matrix A^-1. In other words:

tA = 8A⁻¹

We can solve for A by multiplying both sides by A⁻¹:

   tA(A⁻¹) = 8A⁻¹(A⁻¹)

   tI = 8I

   t = 8

Therefore, we know that t = 8.

This notation means that the matrix A² is equal to 8 times the matrix A⁻¹. In other words:

A² = 8A⁻¹

We can use the information we derived from step 1 to solve for A²:

   A² = 8A⁻¹

   A² = 8(tA)

   A² = 8(8A⁻¹)

   A² = 64A⁻¹

3. The determinant of A:

The determinant of a 2 by 2 matrix A can be calculated as:

   det(A) = ad - bc

Using the matrix A given in the question, we can calculate its determinant as:

   det(A) = ad - bc

          = (a)(d) - (b)(c)

Now, we can use the information we derived from step 2 to simplify the determinant:

   A² = 64A⁻¹²³

   det(A²) = det(64A⁻¹)

   (det(A))² = 64(det(A⁻¹))

   (det(A))² = 64(1/det(A))

   (det(A))³ = 64

   det(A) = 4

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The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)

The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.

Therefore, for this problem, the distribution of the sample mean can be represented as:

X ~ N(67.15, 3.084/√30)

where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.

This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.

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The amount needed to purchase materials needed to cover the area of the triangular flag is: $54.

Area of a triangle = 1/2(bh)

Given the dimensions of the flag as the following:

base (b) = 18 in.

height (h) = √(41² - 9²) = 40 in.

Area of the flag = 1/2(18)(40) = 360 in.²

Cost of material needed = (360)(0.15) = $54

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Answer:

360 and $54

Step-by-step explanation:

Answer:

I believe that the answer is 26

Step-by-step explanation:

The ratio of girls to boys is 13 to 8 so there are 13 girls for every 8 boys so if there are 16 boys (8X2) then there are 26 girls (13X2)

Answer:

the maximum value is 6.96

Step-by-step explanation:

the minimum value is -6.96

Conditional statements using the theme of the real number system:

Conditional statements in if-then form:

Conditional statements are statements in logic and mathematics that assert the truth of a statement based on certain conditions. They are usually written in the form "if P, then Q", where P is a condition and Q is a conclusion that follows from P. Conditional statements are used to make decisions or test certain conditions in programming, mathematics, and everyday life.

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Answer:

1,616,904 answers.

Step-by-step explanation:

67,371

x     24

______

1,616,904

The probability exactly two of the appeals were successful is 0.9536

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

\(P(X=r)={}^{n}C_{r}(p)^r(1-p)^r\) where \(x=0,1,2,3.....\)

where,  n = number of trials (samples) taken = 10

            r = number of success

            p = probability of success which in our question is % of first-round

                  appeals that were successful, i.e.; 40%

So, here X ~ Binom(n=10 , p=0.40

Probability that at least two of the appeals will be successful = P(X>=2)

   P(X >= 2) = 1 - P(X = 0) - P(X = 1)

                    = 1 - \(^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}\)

                     = 1 - 0.00605 - 0.0403

                     = 0.9536

Hence, the probability exactly two of the appeals were successful is 0.9536

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Answer:

x=7

2x+45=59

3x+55=76

Step-by-step explanation:

Answer:

7°, 59°, 76°

Step-by-step explanation:

The equation for the sum of the angles:

Solving for x:

The angles: