six years from now, mark we'll be four times his age today. what is correct equation in terms of Marc's present age A.x+6=4×B.x=4×+6C.4×=×-6D.x=x+4x​

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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The friend has to save for 5 and 2/3 of a month to in order to make up the remaining 85 to get the 125 headphone.

An inequality that consists of two or more parts is called a compound inequality. Either "or" or "and" may be used in these components. A number between 5 and 10 could be used as x in an inequality, for instance, if it states that "x is larger than 5 and less than 10". Any time one of the two inequalities is true when the two inequalities are united by the word or, the compound inequality is solved. The two separate solutions have been combined to form the final answer. Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and."

Cost of the headphone 125.

What the friend have: 40.

What need to save: 125-40 = 85

Let x = amount to be saved per month

Months to save up the 85 is 15

The equation would be 15 x = 85

Therefore x = 85/15

Which is 5 2/3 months.

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The following conditions must be met to conduct a two-proportion significance test:

the populations are independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.

The two-proportion significance test is a hypothesis test that compares the proportions of two independent populations.

To conduct the two-proportion significance test, the following conditions must be met:

Populations must be independent.

Sample sizes are greater than 30.

The probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population.

The sample size should be large enough so that the sampling distribution of the sample proportion is nearly normal. The sample sizes should be large enough so that the central limit theorem can be applied.

In short, to conduct a two-proportion significance test, the populations must be independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.


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Answer:15degrees

Step-by-step explanation:

The Y-intercept is approximately 31.

Given, EX = 16Σ(X-X) (Y - Y¯) = -8ΣΥ = 28Σ(X-X-)² = 8n = 4SST = 42SSE = 34

The formula for calculating the Y-intercept is as follows:β0=Ȳ−β1X¯whereβ0 = Y interceptβ1 = Slope X¯ = Mean of independent variable Y¯ = Mean of the dependent variable

Slope,β1, can be calculated using the formula:β1=Σ(X−X¯)(Y−Y¯)Σ(X−X¯)²The value of X¯ is calculated as follows: X¯=ΣXi/nn = 4ΣXi=0Xi = (16+20+24+28) = 88X¯ = 88/4 = 22

The value of Y¯ is calculated as follows:

Y¯ = ΣYi/nn = 4ΣYi=028Y¯=28/4=7Slope,β1, can be calculated as follows:β1=Σ(X−X¯)(Y−Y¯)Σ(X−X¯)²= [(16−22)(11−7) + (20−22)(−1−7) + (24−22)(1−7) + (28−22)(−1−7)] / [(16−22)² + (20−22)² + (24−22)² + (28−22)²]= [(−6)(4) + (−2)(−8) + (2)(−6) + (6)(−8)] / [(−6)² + (−2)² + 2² + 6²]= −48 / 44= −1.09Y intercept,β0, can be calculated as follows:β0=Ȳ−β1X¯=7−(−1.09×22)=7+23.98=30.98≈31

Therefore, the Y-intercept is approximately 31.

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1) It is true that through 3 points there is exactly one plane.

2) The two possible coordinates of the other point are -40 and 12.

3) The numbers cannot form a triangle.

The general format of the equation of a plane is given as follows:

ax + by + cz + d = 0.

One point has the coordinates (x,y,z), meaning that only one point will solve the equation above, meaning that trough three points there will be exactly one plane.

If the second coordinate is 26 units left of -14, it is given as follows:

-14 - 26 = -40.

If the second coordinate is 26 units right of -14, it is given as follows:

-14 + 26 = 12.

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The sum of the two smaller measurements for item 3 is given as follows:

18.3 + 29.1 = 47.4.

47.4 is less than 49, hence these dimensions cannot form a triangle.

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Answer:

1

Step-by-step explanation:

1/2 * 2/1 = 1

Answer:

There is always the identity equation ( an equation that is always true for any value substituted into the variable) that

\(\frac{x}{x}\)=1  so, given

x=  \(\frac{1}{2}\)

\(\frac{x}{x}\)=\(\frac{1}{2}\\ \frac{1}{2}\)=1  

Step-by-step explanation:

We have:tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(7/2)

To prove the equation tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) without using a calculator, we can utilize the trigonometric properties and identities to simplify the expression.

Let's start by using the addition formula for the tangent function:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) * tan(B))

We can rewrite the given expression as:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2)

Using the addition formula, we can combine the first two terms:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((1/11 + 5/6) / (1 - (1/11)*(5/6)))

Simplifying further:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((11/66 + 55/66) / (1 - 5/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(66/66 / (61/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(1)

Using the same approach, we can combine the remaining terms:

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((1/3 + 1/2) / (1 - (1/3)*(1/2)))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((5/6) / (3/2))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(5/9)

Now, we have:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(1) + tan^(-1)(5/9)

Using the addition formula again:

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((1 + 5/9) / (1 - (1)*(5/9)))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((14/9) / (4/9))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(14/4)

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(7/2)

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The 99% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment is (0.41, 0.53). This means we can be 99% confident that the true difference in proportions falls within this interval.

Sample size of Democrats, n1 = 750

Number of Democrats who consider the environment as a top priority, x1 = 615

Sample size of Republicans, n2 = 850

Number of Republicans who consider the environment as a top priority, x2 = 306

Calculate the sample proportions:

Sample proportion of Democrats, p1 = x1 / n1 = 615 / 750 = 0.82

Sample proportion of Republicans, p2 = x2 / n2 = 306 / 850 = 0.36

Calculate the standard error of the difference in two sample proportions:

σd = sqrt{ [P1(1-P1) / n1] + [P2(1-P2) / n2] }

σd = sqrt{ [0.82(0.18) / 750] + [0.36(0.64) / 850] }

σd = sqrt{ 0.000180 + 0.000240 }

σd = sqrt{ 0.000420 }

σd ≈ 0.0205

Determine the level of confidence:

Given level of confidence, C = 99%

Find the critical value (z-score):

The z-score corresponding to the given level of confidence can be obtained from the standard normal table. For a 99% confidence level, the critical value is approximately z = 2.576.

Calculate the margin of error:

The margin of error is given by E = z * σd

E = 2.576 * 0.0205

E ≈ 0.0528

Construct the confidence interval:

The 99% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment is given by (D – d, D + d), where D is the difference in sample proportions and d is the margin of error.

(0.82 – 0.36 – 0.0528, 0.82 – 0.36 + 0.0528)

(0.41, 0.53)

Interpretation:

We can be 99% confident that the true difference in the percentages of Democrats and Republicans who prioritize protecting the environment falls within the interval (0.41, 0.53).

This means that there is a significant difference between the two groups in terms of the proportion that prioritize protecting the environment. The Democrats have a higher proportion compared to the Republicans.

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Answer:

give brainliest please I need it to level up

Step-by-step explanation:

16 - 2t + 5t + 9

16 + 9 -2t + 5t=0

25 + 3t =0

3t= -25

t= -8.3

Answer: The cost of each game is $2.50

Step-by-step explanation:

Let's find the equations for each friend:

Friend 1:

Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:

$3 + 3*X

Friend 2:

This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:

$0.50 + 4*X

And we know that both friends pay the exact same amount, then we can write:

$3 + 3*X = $0.50 + 4*X

And solve this for X.

We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:

$3 - $0.50 = 4*X - 3*X

$2.50 = (4 - 3)*X = X

This means the cost of each game is $2.50

Answer:

1. Communative Property

2. Associative Property

3. Zero Property

Step-by-step explanation:

ANSWER: D

30.16=17.56+5x

30.16-17.56=5x

12.6=5x

x=12.6/5

x=2.52

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Answer: la respuesta es 5.25

Step-by-step explanation: 0.75 x 7 = 5.25

Answer:

7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Answer:

It always pass through the origin.(0,0)

Answer:

\(5^{2}\)(7) = 175

Step-by-step explanation:

hope this helps! just follow the order of operations. :)

z = 110°

mEB = 90°

mCE = 74°
I’m not sure about x or y but I think these are right.

Answer:

7/8 + 3/8

= 10/8

= 1 1/4

Option A is the ryt answer..

Answer:

7/8 + 3/8

= 10/8

= 1 1/4

Yup option A.

Hope all goes well!!! No one likes their momma being mad at em soo im praying that you don't die lol hahahaha

Step-by-step explanation:

Answer:

25:35

Step-by-step explanation:

5 + 7 = 12

60 ÷ 12 = 5

5 × 5 = 25

5 ×7 = 35

ratio = 25:35

The first step in solving using the substitution method is making an unknown value the subject of the formula.

The substitution method is one of the methods that is used to solve simultaneous equations. It involves making one unknown value the subject of the formula.

For example, given these simultaneous equations:

a + b = 10

2a + 5b = 20

The first step is to make either a or b the subject of the formula

a = 10 - b

or

b = 10 - a

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Answer:

Step-by-step explanation:

a) it is a reflection

b) it is vertex B"

Answer:

Option A

Step-by-step explanation:

\(-14m-7m+1=-7m+1\\\\-14-7m+1-(-7m+1)=-7m+1-(-7m+1)\\\\-14m=0\\\\-14m/-14=0/-14\\\\\boxed{m=0}\)

Answer:A

Step-by-step explanation:

-14m-7m+1=-7m+1

then

-14m-7m+7m=1-1

-14m=0

m=0

factor the right side of the formula A = 2πrx² + 2πrh, we can factor out 2πr from both terms:A = 2πr(x² + h)

What is cylinder?

A cylinder is a three-dimensional geometric shape that consists of two parallel circular bases of the same size and shape, and a curved lateral surface connecting the bases.

To factor the right side of the formula A = 2πrx² + 2πrh, we can use the distributive property of multiplication. We can factor out the common factor of 2πr from both terms in the expression, leaving us with 2πr times the sum of x² and h. This gives us the factored form A = 2πr(x² + h). This expression represents the surface area of a cylinder in terms of its radius (r) and height (h).

Factoring the right side of the formula in this way can simplify calculations and help us better understand the relationship between the variables in the formula.

Therefore, to factor the right side of the formula A = 2πrx² + 2πrh, we can factor out 2πr from both terms:A = 2πr(x² + h)

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Tim could fill the 18-litre bucket in 22.5 times.

To get the number of times he could fill an 18-litre bucket with the sand from the wheelbarrow, we wil set up proportion using the known information.

The amount of sand that can fill a 12-litre bucket is proportional to the number of times it can fill the bucket.

The proportion will be:

12 litres / 15 times = 18 litres / x times

12x = 15 * 18

12x = 270

x = 270 / 12

x = 22.5.

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Overall, magnets are formed through the alignment of magnetic fields in a material or by using electricity to create a magnetic field.

A magnet is a material or object that produces a magnetic field, which is a force that can attract or repel certain materials, such as iron, nickel, and cobalt. Magnets are commonly used in everyday life, such as in electrical motors, speakers, and refrigerators. Magnets can be formed in several ways. One way is through a process called ferromagnetism, which occurs when the magnetic fields of individual atoms in a material align in the same direction, creating a net magnetic field. This can happen naturally in certain materials, such as iron, nickel, and cobalt, or through a process called magnetization, where an external magnetic field is applied to a material to align the magnetic fields of its atoms. Another way magnets can be formed is through the use of electricity. When an electric current flows through a wire, it produces a magnetic field around the wire. If the wire is wrapped around a core material, such as iron, the resulting magnetic field can be much stronger, creating an electromagnet.

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The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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Answer:

Step-by-step explanation: