elite gymnastics, men ~ after the 2004 olympic games, the scoring system for gymnastics was overhauled. rather than rank performances from 0 points to 10 points as the old system did, the new system judges routines based on a combination of the difficulty of the skills attempted in the performance and the gymnast’s execution of the skills. male gymnasts compete on six different apparatus, vault, floor, rings, pommel horse, parallel bars, and horizontal bar. the values given in this problem were calculated from the reported results of international competitions of male elite gymnasts between the years 1999 and 2019. under the old scoring system (last used in 2005), scores on the horizontal bar apparatus had a mean of 9.139 and an sd of 0.629. under the new scoring system (first used in 2006), scores on the horizontal bar apparatus had a mean of 14.141 and an sd of 1.104. round all calculated answers to 4 decimal places. at the 2005 gymnastics world championships under the old scoring system, sami aalto from finland earned a score of 8.087 on horizontal bar. at the 2019 gymnastics world championships under the new scoring system, robert tvorogal from lithuania earned a score of 11.7 on horizontal bar. 1. what is the z-score for sami aalto on horizontal bar in 2005? z

Answer:

0.024

Step-by-step explanation:

75, 15, 3, ...

Now, let's take a look at thus pattern.

You'll notice how the numbers decrease.

Divide 75 by 5.

We get 15

Divide 15 by 5.

We get 3.

Then we have the pattern now.

3 ÷ 5 = 0.6 (4th term)

0.6 ÷ 5 = 0.12 (5th term)

0 12 ÷ 5 = 0.024 (6th term)

I hope it helps.

Answer:

It's 60 degrees. if you look carefully at the image, there is 2 angles. it can't be 93 since it is way too narrow.

Step-by-step explanation:

I'm on the question on edge, ill keep you updated if it's wrong.

update: it was correct. hope this helped!

Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°

The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.

Angle 2 and 60° are alternate interior angles, therefore:

Angle 2 = 60° [alternate interior angle theorem].

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The logical equivalence (p ∨ ~q) ∧ (~p ∨ ~q) ≡ ~q.

1. Start with the given expression: (p ∨ ~q) ∧ (~p ∨ ~q).
2. Apply the distributive law: (p ∧ ~p) ∨ (~q ∧ ~q).
3. Apply the law of contradiction: False ∨ (~q ∧ ~q).
4. Simplify: ~q ∧ ~q.
5. Apply the law of idempotence: ~q.

In this derivation, we used the distributive law to expand the expression and then applied the law of contradiction to simplify it further. Finally, we used the law of idempotence to arrive at the final expression ~q, which proves the logical equivalence.

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Answer: 21.35 m

Step-by-step explanation:

The hypotenuse (r) is equal to the base + the side (7.15 + 14.2)

Answer:

15.9

Step-by-step explanation:

Pythagorean theorem is

a^2 + b^2 = c^2

14.2^2 + 7.15^2 = c^2

c^2 = 201.64 + 51.1225

c^2 = 252.7625

c = √252.7625

c = 15.8985062191

c = 15.9

Answer:

6 1/4 and 1 1/4

1 and 1/5

Step-by-step explanation:

These are the only ones I think

\(6\frac{1}{4}\) kilometer:  \(1\frac{1}{4}\) minutes and 1 kilometer: 1/5 minutes has unit rate as 5.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The given, ratios are:

4/5 km : 5 minutes

\(3\frac{1}{10}\) km: 3/10 minutes

1 kilometer: 1/5 minutes

1/3 kilometer: \(1\frac{2}{3}\) minutes

\(4\frac{1}{2}\) kilometer: 2 minutes

\(6\frac{1}{4}\) kilometer:  \(1\frac{1}{4}\) minutes

We need to check which ratios have 5 as unit rate.

\(6\frac{1}{4}\) kilometer:  \(1\frac{1}{4}\) minutes has unit rate as 5

25/4/5/4

5

1 kilometer: 1/5 minutes

5

Hence, \(6\frac{1}{4}\) kilometer:  \(1\frac{1}{4}\) minutes and 1 kilometer: 1/5 minutes has unit rate as 5.

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The probabilities getting "two multiples of 10", "a number less than 100 for both draws", and "a number less than 100 and then a number greater than 400" without replacement are: 7/15, 2/9, and 1/6 respectively.

The probability of an event without replacement implies that once an item is drawn, then we do not replace it back to the sample space before drawing another item.

Total possible outcome = 10

multiples of 10 = 7

number less than 100 = 5

number less than 100 = 5

number greater than 400 = 3

probability of getting two multiples of 10 is evaluated as follows:

7/10 × 6/9 = 7/15

probability of getting a number less than 100 for both draws is evaluated as follows:

5/10 × 4/9 = 2/9

probability of getting a number less than 100 and then a number greater than 400 is evaluated as follows:

5/10 × 3/9 = 1/6

Therefore, the probabilities getting "two multiples of 10", "a number less than 100 for both draws", and "a number less than 100 and then a number greater than 400" without replacement are: 7/15, 2/9, and 1/6 respectively.

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Answer:750

Step-by-step explanation:

because you need to find the area of 1 tile then multiply it by 100

The direction of the velocity of the plane relative to the ground is 68.2° west of south.

To find the direction of the velocity of the plane relative to the ground, we can break down the pilot's flight into horizontal and vertical components.

Let's first determine the distance traveled by the plane in the 2.00-hour time frame. Since the plane flies at an airspeed of 163 km/h, the total distance traveled is 163 km/h * 2.00 h = 326 km.

The horizontal component of the plane's velocity is 326 km (the distance traveled) - 29.4 km (the displacement due west) = 296.6 km. This horizontal component represents the effect of the wind pushing the plane westward.

To determine the vertical component, we can use the Pythagorean theorem. The total displacement of the plane can be found as the square root of [(333 km)^2 - (29.4 km)^2] = 332.65 km. Therefore, the vertical component of the displacement is 332.65 km * sin(20.0°) = 113.57 km.

Now we can find the angle of the velocity relative to the ground using trigonometry. The angle θ is given by the arctan(113.57 km / 296.6 km) = 21.8°.

However, since the question specifies that a positive angle indicates north of east and a negative angle indicates west of south, we find that the angle is actually -68.2°.

Therefore, the direction of the velocity of the plane relative to the ground is 68.2° west of south.

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Answer:

3/4-2/4=1/4

Step-by-step explanation:

1/2 is equivalent to 2/4.

Then just plug it in.

Hope this helps:)

Answer:

(4x+5i)(4x-5i)

Step-by-step explanation:

Multiplying the length and width together, we get 3m x 4m = 12m². This means that the area of the rectangle is 12 square meters.

Area = Length x Width

Area = 3m x 4m

Area = 12m²

To solve for the area of a rectangle, you will need to use the formula Area = Length x Width. In this example, the length of the rectangle is 3 meters and the width is 4 meters. To calculate the area of the rectangle, you will need to multiply the length and width together. 3m x 4m = 12m². Therefore, the area of the rectangle is 12 square meters.

The area of a rectangle is calculated by multiplying the length and width of the rectangle together. The formula used to calculate the area of a rectangle is Area = Length x Width. To put this formula into practice, lets use the example of a rectangle that is 3 meters long and 4 meters wide. Multiplying the length and width together, we get 3m x 4m = 12m². This means that the area of the rectangle is 12 square meters. This formula can be used for any rectangle, as long as the length and width are known. Knowing the area of a rectangle can be useful for many purposes, such as calculating the amount of paint or carpeting needed to cover the surface area of the rectangle.

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Answer:

Y = 0

Step-by-step explanation:

Y = -1/2 x²

To find y-intercept, substitute X = 0

Solve the equation for y

Y = 0

Answer:

197 pounds of cans

Step-by-step explanation:

Find how many pounds of cans they have collected by subtracting 8 from both of their barrel weights:

115 - 8

= 107

98 - 8

= 90

Add these two weights together:

107 + 90

= 197

So, they collected 197 pounds of cans

The table of values which represent the equation y = 7x - 3 is: table D.

In Mathematics, an ordered pair can be defined as a pair of two (2) elements or points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

In order to determine the true ordered pair that is a solution for the given linear equation, we would have to test the ordered pair contained in each table by substituting it into the linear equation as follows;

For ordered pair (-2, -1), we have:

y = 7x - 3

-1 = 7(-2) - 3

-1 = -14 - 3

-1 = -17 (False).

For ordered pair (-2, -19), we have:

y = 7x - 3

-19 = 7(-2) - 3

-19 = -14 - 3

-19 = -17 (False).

For ordered pair (-2, -15), we have:

y = 7x - 3

-15 = 7(-2) - 3

-15 = -14 - 3

-15 = -17 (False).

For ordered pair (-2, -17), we have:

y = 7x - 3

-17 = 7(-2) - 3

-17 = -14 - 3

-17 = -17 (True).

In this context, we can logically deduce that all of the coordinates in table D represents the equation y = 7x - 3.

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Input = ?

Output = 1.2

y = x - 0.4

x = y + 0.4

x = 1.2 + 0.4

x = 1.6

so let's check how much is each interior angle in the pentagon first.

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Check the picture below.

Answer:

x + 8 <= 6, so x <= -2.

Step-by-step explanation

Greatest possible value of 7x is 7(-2) = -14.

Answer:

b = 9.1units

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of triangle

WX/XZ = WY/WX

Substitute;

b/a+5 = 6/b

b² = 6(a+5) ... 1

Also according to pythagoras theorem on triangle WYX;

b² = 6²+a²...2  

Equate 1 and 2

6(a+5) = 6²+a²

6a+30 = 36 + a²

a²-6a+36-30 = 0

a²-6a+6 = 0

a = 6±√36+4(6)/2

a = 6±√60/2

a = 6±7.745/2

a = 13.745/2

a = 6.8725

Recall that

b² = 6²+a²

b² = 36+6.8725²

b² = 83.2313

b = 9.12units

b = 9.1units

Answer: B: 9.1 units

Step-by-step explanation: best of luck to all!

The expression (5a)(3a + 2) simplifies to 15a^2 + 10a. This is obtained by multiplying 5a with both terms inside the parentheses using the distributive property. The final result cannot be further simplified. So, Option B is correct. Option B.

To simplify the given expression, (5a)(3a + 2), we apply the distributive property to distribute the factor 5a to both terms inside the parentheses. This involves multiplying 5a by each term separately.

First, we multiply 5a by 3a. Multiplying these two terms gives us 15a^2, where the coefficient 15 comes from multiplying 5 by 3 and the variable a is squared due to the multiplication of two a's.

Next, we multiply 5a by 2. This multiplication results in 10a, where the coefficient 10 comes from multiplying 5 by 2, and the variable a remains unchanged.

Combining the two simplified terms, we have 15a^2 + 10a. This expression cannot be further simplified because there are no like terms to combine.

The term 15a^2 represents the enlarged area of the mural, obtained by multiplying the lengths of the sides of the original square mural (side length a) by the factor 5 and squaring the variable a. The term 10a represents an additional area added during the enlargement process, obtained by multiplying the side length a by the factor 2.

In conclusion, the simplified form of (5a)(3a + 2) is 15a^2 + 10a. So OptioN B is correct.

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Answer:

its attatched

Answer:

1) Pr(all three) = 0.064

2) Pr(none) = 0.216

3) Independent event

Step-by-step explanation:

Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)

Where Pr = probability

This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure

Where p = success, q = failure

For n trials,

Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)

Pr (security) = 40% = 0.4

p = 0.4

q = 1-p = 1-0.4 = 0.6

Numbers selected at random = n = 3

See attachment for more details on the workings.

1) Probability all three of the selected homes have a security system = Pr(all three)

Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³

= 0.4×0.4×0.4

Pr(all three) = 0.064

2) Probability none of the three selected homes have a security system

= Pr(none)

Pr(none) = 1 × (0.4)^0 × (0.6)³

= 0.6³ = 0.6×0.6×0.6

Pr(none) = 0.216

3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.

\(\boxed{c.\:n\:=\:18}\) ✅

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( \frac{6}{n} = \frac{14}{42} \\ ⇢ n = \frac{6 \times 42}{14} \\ ⇢ n = \frac{252}{14} \\ ⇢ n = 18\)

\({ \bf{ \underbrace{To\:verify:}}}\)

\( \frac{6}{n} = \frac{14}{42} \\ ⇢  \frac{6}{18} = \frac{14}{42} \\ ⇢  \frac{1}{3} = \frac{1}{3} \\ ⇢ L.H.S.=R. H. S\)

Hence verified.

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}\)

use brainly to find the answer

Answer:

5^10

Step-by-step explanation:

Hope I helped!

Main Answer:The applicable steps to ensure fair data collection would be: Random sampling, informed consent, confidentiality and anonymity, and clear and unbiased questions.

Supporting Question and Answer:

Why is random sampling an important step in ensuring fair data collection for determining popular exercise classes?

Random sampling is important in fair data collection as it helps ensure that the selected participants represent the larger population of the gym. By randomly selecting participants, the data analyst reduces the risk of bias and ensures that the survey results are more likely to be representative of the preferences of the entire gym population.

Body of the Solution: To ensure the data collected for determining the most popular exercise classes is fair, the data analyst should consider the following steps:

Therefore, the applicable steps to ensure fair data collection would be: Random sampling, informed consent, confidentiality and anonymity, and clear and unbiased questions.

Final Answer: Hence,the applicable steps to ensure fair data collection would be: Random sampling, informed consent, confidentiality and anonymity, and clear and unbiased questions.

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The applicable steps to ensure fair data collection would be: Random sampling, informed consent, confidentiality and anonymity, and clear and unbiased questions.

Random sampling is important in fair data collection as it helps ensure that the selected participants represent the larger population of the gym. By randomly selecting participants, the data analyst reduces the risk of bias and ensures that the survey results are more likely to be representative of the preferences of the entire gym population.

To ensure the data collected for determining the most popular exercise classes is fair, the data analyst should consider the following steps:

The analyst should randomly select the 10 people to participate in the survey. This helps ensure that the sample is representative of the gym's population and reduces bias.

Informed consent: The analyst should obtain informed consent from the participants, explaining the purpose of the survey, how the data will be used, and ensuring that participants are willing to participate voluntarily.

Confidentiality and anonymity: The analyst should assure the participants that their responses will be kept confidential and anonymous. This encourages honest and unbiased responses, as individuals may feel more comfortable sharing their preferences without fear of judgment or repercussions.

Clear and unbiased questions: The survey questions should be clear, unbiased, and directly related to determining the most popular exercise classes. The questions should avoid leading or suggestive language that could influence participants' responses.

Sufficient sample size: While surveying 10 people can provide some insights, a larger sample size would increase the reliability and representativeness of the data. The analyst may consider increasing the sample size to obtain a more robust understanding of class preferences.

Therefore, the applicable steps to ensure fair data collection would be: Random sampling, informed consent, confidentiality and anonymity, and clear and unbiased questions.

Hence, the applicable steps to ensure fair data collection would be: Random sampling, informed consent, confidentiality and anonymity, and clear and unbiased questions.

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The correct answer is: c. decrease.  As variability due to chance decreases, the value of F will decrease

The F statistic is a measure of the ratio of variability between groups to variability within groups in an analysis of variance (ANOVA) test. It is calculated by taking the ratio of the mean square between groups (MSB) to the mean square within groups (MSW). A larger value of F indicates that the variability between groups is greater than the variability within groups, which suggests that there may be a significant effect of the independent variable on the dependent variable.

As variability due to chance decreases, it means that the variability within groups is decreasing. This could be due to a decrease in random errors or chance fluctuations in the data. When the variability within groups decreases, it makes the denominator (MSW) in the F statistic smaller, which in turn increases the value of F. Therefore, as variability due to chance decreases, the value of F will decrease, indicating that the effect of the independent variable on the dependent variable is becoming more significant and reliable.

In conclusion, the correct answer is: c. decrease. Therefore, as variability due to chance decreases, the value of F will decrease

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