what is the answer to this question? free 30 points

Answer:

14

Step-by-step explanation:

Rearrange your numbers in order from least to greatest

18, 20, 22, 22, 25, 27, 29, 31, 34, 36, 36, 38, 41, 48

the middle is between 29 and 31

the middle of the first half is 22,

the middle of the second half is 36

the IQR = 36-22= 14

2 units left means x is deducted by 2

5 units down means y is deducted by 5

So the rule is

New coordinates

Answer:

Below in bold.

Step-by-step explanation:

The vertices of the new triangel are:

A' = (3-2, 5-5) = (1, 0).

In the same way:

B' = (2, -4)

C' = -1, -3).

The values of x and the measures of the angles, found using the angle sum property for the geometric figures are;

4. x = 130°

5. x = 112°

6. x = 115°

7. x = (232/3)°, m∠L = (232/3), m∠M = (479/3)°, m∠O = (464/3)°, m∠P = (332/3)°

The angle sum property defines the measeure of the interior angle found in geometric figures.

4. The angle sum property of a pentagon indicates that we get;

130° + 85° + x + 105° + 90° = 540°

410° + x = 540°

x = 540° - 410° = 130°

x = 130°

5. The angle sum property for a hexagon indicates that we get;

x° + 109° + 127° + 118° + 142° + x° = 720°

2·x + 496° = 720°

x = (720° - 496°)/2 = 112°

6. The angle sum property for a pentagon indicates that we get;

125° + 63° + 167° + 90° + x° = 560°

445° + x = 560°

x = 560° - 455° = 115°

7. angle sum property for a pentagon indicates that we get;

(2·x + 5)° + 61° + 2·x° + (x + 30)° + x° = 560°

6·x + 96 = 560

x = (560° - 96°)/6 = (232/3)°

m∠L = x° = (232/3)°

m∠M = 2 × (232/3) + 5 = (479/3)°

m∠O = 2 × (232/3)° = (464/3)°

m∠P = ((232/3) + 30) = (332/3)°

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Answer:

10 m.

Step-by-step explanation:

We have a triangle with hypotenuse h m (the rope's length) and one leg 16 -  8  = 8 m and the other 6 m.

So h^2 = 8*2 + 6^2 = 100

h = 10 m.

(a) At the 0.05 significance level, the rejection region is t > 1.729. t = (4.6 - 5) / (2.2 / sqrt(20)) = -1.47 t < 1.729 and therefore p > 0.05, so we fail to reject the null hypothesis

(b) X ± t (s/√n)= 4.6 ± 2.093(2.2/√20) = 4.6 ± 1.85 = (2.75, 6.45)

(c)No, the results from the hypothesis test and confidence interval do not agree

(a) Georgianna's claim is that the average child takes at least five years of piano lessons in a small city famous for its music school. We want to test if the sample data provides enough evidence to support her claim.To assess Georgianna's assertion, we will use a hypothesis test.

(b) Constructing a confidence interval with a 95 percent confidence level, we get: X ± t (s/√n) where X = 4.6, s = 2.2, and n = 20.

We'll have to use the t-distribution since the sample size is small, and we'll require a critical value of t. We get 2.093 from the t-table with 19 degrees of freedom.X ± t (s/√n)= 4.6 ± 2.093(2.2/√20) = 4.6 ± 1.85 = (2.75, 6.45)

The following is the meaning of the 95% confidence interval: we can be 95% certain that the true mean number of years a child in the small city spends learning piano is between 2.75 and 6.45 years.

(c)No, the results from the hypothesis test and confidence interval do not agree. The hypothesis test failed to reject the null hypothesis, indicating that the sample provided insufficient evidence to back Georgianna's assertion that children in the city spent at least five years learning piano.

On the other hand, the confidence interval suggests that we can be 95 percent certain that the true mean number of years children in the city spend learning piano is between 2.75 and 6.45 years, which includes the five-year figure stated in the claim.

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Hello!

Five times x increased by three times y is  5x + 3y

Experimental probability refers to the probability of an event occurring based on empirical or observed data from experiments or real-life situations.

It is determined by conducting multiple trials or observations and recording the outcomes to estimate the likelihood of a specific event happening.

To calculate the experimental probability of an event, you need to divide the number of times the event occurred by the total number of trials or observations. The formula for experimental probability is:

Experimental probability = Number of favorable outcomes / Total number of trials or observations

For example, suppose you want to determine the experimental probability of flipping a coin and getting heads. If you flip the coin 50 times and get heads 20 times, the experimental probability of getting heads would be:

Experimental probability of getting heads = 20 / 50

= 0.4 or 40%

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Explain Experimental probability

To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.

To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.

Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.

Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).

However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.

Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.

So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.

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From the above question we conclude that when \(\sqrt[x]{5} + \sqrt[4x]{5}\) simplifies to

\(\sqrt[5x]{5}\).

What is the simplifying expressions involving square roots?

In this case, we combined like terms by adding x√5 and 4x√5, which resulted in (x + 4x)√5 = 5x√5. This involves the distributive property of multiplication over addition, and simplification of expressions involving radicals.

We can simplify the given expression as follows:

\(\sqrt[x]{5} + \sqrt[4x]{5}\)

= \(\sqrt[(x+4x)]{5}\)

=\(\sqrt[5x]{5}\)

Hence,  \(\sqrt[x]{5} + \sqrt[4x]{5}\) simplifies to \(\sqrt[5x]{5}\).

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Answer:

1st eq ans = (x-2) by (x+6) (x-1)

2nd eq ans = x by (x+6) (x+2)

To calculate the probability that a randomly selected person has at least 2 TV's, you would first calculate the probability of a person having more than 2 TV's:

Then, you would calculate the probability of a person having less than 2 TV's:

Finally, you would calculate the probability of a person having exactly 2 TV's:

Therefore, the probability that a randomly selected person has at least 2 TV's is:

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Answer:

2

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

16=1/2n+6

10=1/2n

20=n

The probability the spinner landing on 5 is 0.125. The result is obtained by dividing the number of favorable outcomes by the number of events.

Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.

Probability of an event can be expressed as

P(A) = n(A) / n(S)

Where

A spinner is divided into 8 equal sections numbered 1 to 8. Find the probability that the spinner lands on number 5!

From the information, we have:

P(A) = n(A) / n(S)

P(A) = 1/8

P(A) = 0.125

Hence, the probability that the spinner lands on number 5 is 0.125.

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Answer:

x = 9

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.

<3  = <1 + <2

5x+4 = x+1   + 39

Combine like terms

5x+4=x+40

Subtract x from each side

5x-x+4=x-x+40

4x+4 = 40

Subtract 4 from each side

4x+4-4 = 40-4

4x = 36

Divide by 4

4x/4 = 36/4

x = 9

Answer:

x = 12

Step-by-step explanation:

We know that,

The exterior angle of a triangle equals to the sum of opposite interior angles.

Accordingly,

\( \angle \: 1 + \angle \: 2 = \angle \:3\)

That is,

x + 13 + 39 = 5x + 4

Combine like terms.

x + 52 = 5x + 4

Subtract x from both sides.

52 = 5x - x + 4

52 = 4x + 4

Subtract 4 from both sides.

52 - 4 = 4x

48 = 4x

Divide both sides by 4.

12 = x

The probability that at least 75 rolls are necessary to exceed a total sum of 275 is approximately 0.293.

Let X be the random variable denoting the total number of rolls required to exceed 275. We want to calculate P(X >= 75). The probability of rolling a number greater than 5 is 1/3, and the probability of rolling a number less than or equal to 5 is 2/3. Therefore, the expected value of a single roll is

The variance of a single roll is

Using the properties of the geometric distribution, we can calculate the probability that it takes at least 75 rolls to achieve a sum greater than 275:

P(X >= 75) = (1 - P(X < 75)) = (1 - (1 - (275/3.67)/75\()^{(75)}\)) = 0.293.

Therefore, the probability that at least 75 rolls are required is approximately 0.293.

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(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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The simplest term is -49h + 70.

The equation given is:

10(-4h + 7) -9h

We have to simplify it in its simplest form:

10(-4h + 7) -9h

After removing the bracket part we have:

= -40h + 70 - 9h

Adding the similar term in the equation we have:

= -49h + 70

Therefore the simplest term of the equation is -49h + 70.

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Point C (3,8) is the required ordered pair that is not the solution of the given equation. Option C is correct.

Given that,
To determine which ordered pair is NOT a solution to the equation y = 2x.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given relation y = 2x
Now substitute every value of x from the ordered pair and match the output with the corresponding value of the ordered pair.
put x = 1, 2, 3, 5
Y = 2(1)
y = 2
Similarly the outcome of the values,
x = 2, 3, 5
y = 4, 6, 10

Thus, Point C (3,8) is the required ordered pair that is not the solution of the given equation. Option C is correct.

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The 7th term of the geometric sequence is 5,103.

To find the 7th term of a geometric sequence with a first term of 7 and a common ratio of -3, we can use the formula:

an = a1 × \(r^(n-1)\)

where an is the nth term of the sequence, a1 is the first term of the sequence, r is the common ratio, and n is the number of the term we want to find.

Substituting the given values, we get:

a7 = 7 × \((-3)^(7-1)\)

Simplifying the exponent, we get:

a7 = 7 × \((-3)^6\)

Evaluating the exponent, we get:

a7 = 7 × 729

Multiplying, we get:

a7 = 5,103

Therefore, the 7th term of the geometric sequence is 5,103.

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Answer: Option C

Given the linear equation

y = x + 2

when x = 0

y = 0 + 2

y = 2

when x = 1

y = 1 + 2

y = 3

when x= 2

y = 2 + 2

y = 4

when x = 3

y = 2 + 3

y = 5

Therefore, option C is likely to fit the linear equation

Answer:

9 cars/week

Step-by-step explanation:

(10+9+11+6)/4=36/4=9

In this case the answer is very simple. .

Step 01:

Data

side a = 8m

side b = 15m

c = hypotenuse = ?

Step 02:

Pythagoras Theorem Formula

Hypotenuse² = Perpendicular² + Base²

c² = a² + b²

c ² = (8m)² + (15m)²

c ² = 64m² + 225m²

c ² = 289m²

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer:

151

Step-by-step explanation:

132.88 is 88% of the original price

132.88= p x .88=151

Answer:

Step-by-step explanation:

The hypotenuse has different lengths. It’s always c2 and the longest triangle length of all the triangle.

Answer:

Expression: [105-(-27)]°F

Difference in temperature= 132°F

Step-by-step explanation:

The difference between the two temperatures can be found through subtraction.

Difference in temperature

= 105 -(-27)

= 105 +27

= 132°F

Additional:

An expression does not include an equal sign unlike an equation. If the difference in temperature is represented by D, then the equation would be:

D= [105-(-27)]°F

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Answer:

Perpendicular bisector

Step-by-step explanation:

Once we have established that all three angles are congruent and all three sides are proportional, we can conclude that the two triangles are similar.

To prove that the two triangles are similar, we need to show that all three angles are congruent, and all three sides are proportional.

We know that angle N is congruent to angle Q, but we need to find additional information to prove that the triangles are similar. One possible piece of information could be the length of one side or the ratio of two sides.

If we know the ratio of the lengths of two corresponding sides in the two triangles, we can use that information to show that all three sides are proportional.

Alternatively, if we know the length of one side in both triangles, we can use the angle-angle similarity theorem to show that all three angles are congruent.

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