please solve and explain

The sum of 6 3/7 and 1 2/5 as a mixed fraction is 7 29/35.

Given the mixed fraction in the question:

6 3/7 + 1 2/5

To add mixed fractions, we first need to convert them into improper fractions.

First, convert 6 3/7 to an improper fraction:

6 3/7 = (6 × 7)/7 + 3/7

= 42/7 + 3/7

= 45/7

Convert 1 2/5 to an improper fraction:

1 2/5 = (1 × 5)/5 + 2/5

= 5/5 + 2/5

= 7/5

Now we can add the fractions:

45/7 + 7/5

(45 × 5)/(7 × 5) + (7 × 7)/(5 × 7)

= 225/35 + 49/35

= 274/35

= 7 29/35.

Therefore, the sum is 274/35 or 7 29/35.

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The equation of the tangent line to the function y = 2x^2 + x - 4 at the point x = 1 is y + 1 = 5(x - 1).

To find the equation of the tangent line to the function y = 2x^2 + x - 4 at the point x = 1,

we will follow these steps:
Evaluate the function at x = 1 to find the point (1, y):
[tex]y = 2(1)^2 + 1 - 4[/tex]
y = 2 + 1 - 4
y = -1
So, the point is (1, -1).
Find the derivative of the function to get the slope of the tangent line:
[tex]dy/dx = d(2x^2 + x - 4)/dx[/tex]
dy/dx = 4x + 1
Evaluate the derivative at x = 1 to find the slope of the tangent line:
m = 4(1) + 1
m = 5
Use the point-slope form to find the equation of the tangent line:
y - y1 = m(x - x1)
y - (-1) = 5(x - 1).

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Answer:

either or

2,4 or 4,2

4,8 or 8,4

6,12 or 12,6

8,16 or 16,8

Step-by-step explanation:

if u tell me which one is x and would help even more good luck

A value of 0.25 for p(1-p) in the sample size formula when the true value of p is unknown.

This is because the value of p(1-p) is maximum when p=0.5, and since we do not have any information about the true value of p, assuming p=0.5 is the most conservative approach. Therefore, to calculate the sample size required to estimate a proportion using a confidence interval with a margin of error e, we can use the formula:

[tex]n = [z^2 * p(1-p)] / e^2[/tex]

where z is the z-score corresponding to the desired level of confidence (e.g., 1.96 for 95% confidence), and e is the desired margin of error. We can use p=0.5 and solve for n to get a conservative estimate of the sample size required for the given confidence level and margin of error.

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If prior knowledge or data suggests that the proportion is significantly different from 0.5, then a more accurate estimate of p should be used in the formula.

To calculate the sample size formula for estimating a proportion using a confidence interval with a margin of error e, we

use the following formula:

[tex]n = (Z^2 × p × (1-p)) / e^2[/tex]

where n is the required sample size, Z is the Z-score corresponding to the desired level of confidence,

p is the estimated proportion, and

e is the margin of error.

Since the product p(1-p) is not known, a conservative approach is to use p = 0.5, which is the value that maximizes the

product p(1-p) for any given proportion.

This approach ensures that the sample size will be large enough to obtain a reliable estimate of the proportion, even if

the true proportion is close to 0 or 1. However, if prior knowledge or data suggests that the proportion is significantly

different from 0.5, then a more accurate estimate of p should be used in the formula.

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The equation of the line of best fit is given as follows:

y = -1.25x + 8.3.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

The points for this problem are given as follows:

(2, 5.8), (3, 4.55), (5, 2.05), (7, -0.45), (11, -5.45), (16, -11.7), (24, -21.7).

Inserting these points into a calculator, the equation is given as follows:

y = -1.25x + 8.3.

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The Central Limit Theorem (CLT) is an important theorem in statistics because it serves as the foundation for various statistical techniques and analyses.

The CLT states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the population's original distribution, provided that the population has finite mean and variance.
Normality:

The CLT establishes the concept of normality, which is a critical assumption in numerous statistical tests such as the t-test, z-test, and ANOVA. By knowing that the sample means are normally distributed, we can apply these tests to make inferences about population parameters.
Simplification:

Due to the CLT, we can simplify complex statistical problems by using normal distributions instead of dealing with the original population distribution.

Calculations more manageable and allows us to utilize the standard normal distribution table.
Confidence intervals:

The CLT enables us to construct confidence intervals for population parameters such as the mean.

Essential in estimating unknown population parameters based on sample data and understanding the associated uncertainty.
Margin of error:

The theorem helps in determining the margin of error for estimates, allowing us to quantify the accuracy of our estimates and make better decisions based on data.
Large sample sizes:

The CLT is particularly relevant when dealing with large sample sizes, as the distribution of sample means becomes more normal, and we can apply various statistical techniques with greater confidence.
The Central Limit Theorem is important in statistics because it enables us to assume normality, simplify problems, construct confidence intervals, determine the margin of error, and apply various statistical techniques with greater confidence, especially when dealing with large sample sizes.

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The probability that a randomly selected gas station customer on that day did not purchase gasoline is 10/27.

We know that, the probability of any event is the ratio of the number of favorable case to that event to the total number of cases.

The total number of customers in that Gas Station on that day = 135

According to the data table,

Number of customers did not purchase gas but purchased beverage = 35

Number of customers neither purchase gas nor beverage = 15

So total number of customers did not purchase gas = 35 + 15 = 50

Here number of favorable cases = 50

So the probability that a randomly selected gas station customer on that day did not purchase gasoline = 50/135 = 10/27.

Hence the required probability is 10/27.

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The given question is incomplete. The complete question is -

"On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?

Customer Purchases at a Gas Station"

Therefore, the solution to the system of equations is: x = 13/12, y = -3/4 that is option C.

In mathematics, an equation is a statement that asserts the equality of two expressions, separated by an equals sign (=). The expressions on either side of the equals sign are referred to as the left-hand side (LHS) and the right-hand side (RHS) of the equation. Equations are used to describe relationships between variables and to solve problems.

Here,

To solve the system of equations:

4y + 12x = 10 ...(1)

2y - 6x = -8 ...(2)

We can use the method of elimination or substitution.

Method of elimination:

We can eliminate x by multiplying equation (2) by 2 and adding it to equation (1) to obtain:

4y + 12x = 10

(4y - 12x = -16)

8y = -6

Dividing both sides by 8, we get:

y = -6/8

y = -3/4

Substituting this value of y in equation (1), we get:

4(-3/4) + 12x = 10

Simplifying and solving for x, we get:

-3 + 12x = 10

12x = 13

x = 13/12

So the answer is C. x = 13/12, y = -3/4.

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The exponential function f(x) = 2^x is given by the blue graph on the given graph.

The horizontal asymptote of a function is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The function in this problem is defined as follows:

y = 2^x.

Two relevant numeric values are given as follows:

Hence the function is represented by the blue graph.

The horizontal asymptote is of y = 0, as when x goes to negative infinity, y goes to zero.

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The constant function and quadratic function intersect at one point in the nonlinear system.

In a nonlinear system with a constant function and a quadratic function, the two graphs intersect at one point, indicating the solution to the system. The constant function represents a horizontal line, while the quadratic function represents a parabola.

The point of intersection represents the solution where the value of the constant function equals the value of the quadratic function. The relationship between the two graphs is that they intersect at this one point, which is the unique solution to the system

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The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement is 0.45%.

The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement can be calculated as follows:

First, we calculate the probability of drawing an ace on the first draw. Since there are four aces in the deck and 52 cards in total, the probability of drawing an ace on the first draw is:

P(Ace on first draw) = 4/52 = 1/13

Next, we need to calculate the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw. Since there are now only three aces remaining in the deck and 51 cards in total, the probability of drawing an ace on the second draw is:

P(Ace on second draw given an ace on first draw) = 3/51

To calculate the probability of drawing two aces, we multiply the probability of drawing an ace on the first draw by the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw:

P(Drawing two aces) = P(Ace on first draw) x P(Ace on second draw given an ace on first draw)

P(Drawing two aces) = (1/13) x (3/51)

P(Drawing two aces) = 0.0045 or approximately 0.45%.

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If a cylinder has a volume of 2908.33 in³ and a radius of 11.5 in, the height of the cylinder include the following: C. 7 inches.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the parameters, we have the following:

2908.33 = 3.14 × 11.5² × h

Height, h = 7.00 inches.

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The 95% confidence interval for the true mean weight loss is (11.168, 18.832).

To find the 95% confidence interval for the true mean weight loss, we can use the formula:

CI = x(bar) ± t*(s/√n)

where:

x(bar) = sample mean weight loss

s = sample standard deviation of weight loss

n = sample size

t = t-value from the t-distribution table with (n-1) degrees of freedom and a 95% confidence level

Using the values given in the table, we have:

x(bar) = 15

s = 3.786

n = 7

The t-value for a 95% confidence level with 6 degrees of freedom (n-1) is 2.447.

Substituting these values into the formula, we get:

CI = 15 ± 2.447*(3.786/√7)

CI = 15 ± 3.832

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Answer:

name of figure : pyramid

volume : 200yds.

Step-by-step explanation:

The formula for volume of a pyramid is 1/3(lwh), in this case, it would be 1/3(12x5x10). 12x5x10 is 600, and 1/3 of 600 is 200. Therefore, the volume is 200yds.

IM VERY SORRY IF THIS DIDN'T MAKE SENSE!

The remaining amount that Jackson has is $5.

The cost of 5 books at $7 each is:

5 books * $7/book = $35

To find the amount of change Jackson got from $40, we need to subtract the cost of the books from $40:

$40 - $35 = $5

Therefore, Jackson got $5 in change.

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An equation of the line that passes through the point (6,2) and has a slope of -1/2 is y = -1/2(x) + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (6, 2) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 2 = -1/2(x - 6)  

y - 2 = -1/2(x) + 3

y = -1/2(x) + 3 + 2

y = -1/2(x) + 5

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answer

as we all know volume is equal to length times width times height therefore to get you answer you have to multiply all the three giving measurements the answer that you get you are supposed to round it to the nearest to decimal places when you say around it off to the nearest two decimal places it means that they need to be too this two numbers after the coma

Answer:

concurrent lines

Step-by-step explanation:

If there are more than 2 lines (or in this case, 3 lines) that meet at a singular and same point, then they are called concurrent lines.

The values of the missing sides and angles of the triangle using sine rule are;

DE = 18.3

<D = 84°

EF = 20.8

Sine rule is a method that is used to find the missing angles and sides of triangles.

Thus, it is expressed as;

a/sin A = b/sin B = c/sin C

Thus;

12/sin 35 = DE/sin 61

DE = 12(sin 61)/sin 35

DE = 18.3

Sum of angles in a triangle is 180°. Thus;

<D = 180 - (61 + 35)

<D = 84°

Similarly;

EF/sin 84 = 12/sin 35

EF = 12(sin 84)/sin 35

EF = 20.8

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Answer: 23 1/2

Step-by-step explanation:

you need to include the number of roses in the mean calculation (Ex: 22, 22, 23, 23, 23, 23, etc.)

The range at which Dan's car can go is 3.33 miles

A car's range is the distance it can travel with the current amount of fuel in the tank.

The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.

The range of a car can be measured in the unit of distance.

Therefore the range of a car can be calculated as;

R = distance per gallon/ number of gallon.

Dan's car is 40mpg and has 12 gallons in it's tank.

Therefore it's range = 40/12

= 3.33miles.

therefore the range of Dan's car is 3.33miles

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Answer: I think it might be A.

Step-by-step explanation:

Answer:

Based on the given options, the correct answer is A.

Option A states that the price in the year 2012 is $18,000, which describes a point on a graph or chart that represents a data point for the year 2012 and a value of $18,000. This is a common way to describe a data point on a graph or chart.

Option B is not a logical description of a point and does not provide a clear indication of the relationship between the year and the price.

Option C describes a different price point for the year 2012 than option A.

Option D describes a point in the year 2010, not 2012 as specified in the question stem.

Option E describes a different price point for the year 2010 than option D and does not specify the price in 2012.

Answer:

In the year 2012, the price is 18000

Step-by-step explanation:

The x coordinate is 2012

The y coordinate is 18000

The price is 18000 and the year is 2012.

In the year 2012, the price is 18000.

Answer:

1E+30

Step-by-step explanation:

The volume of the cone is1527.1 cm³

And the correct answer is an option (c)

We know that he formula for the volume of the cone is:

V = 1/3(π × r² × h)

Here, the diameter of the base of the cone is 15 cm

so, the radius of the cone would be,

r = 15/2 cm

r = 7.5 cm

And the slant heihgt of the cone is l = 27 cm

Using Pythagoras theorem the height h of the cone would be,

h = √(l² - r²)

h = √(27² - 7.5²)

h = √(672.75)

h = 25.94 cm

Using above formula, the volume of the cone would be,

V = 1/3(π × r² × h)

V = 1/3(π × (7.5)² × 25.94)

V = 1527.99 cm³

V = 1527.1 cm³

Therefore, the correct answer is an option (c)

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Find the complete question below.

The values of following in parallel lines are:

Angle 3 and Angle 6 are an example of corresponding angles. (Option D is the correct answer).

Angle 1 and Angle 5 are an example of corresponding angles. (Option D is the correct answer).

Angle 6 and Angle 7 are an example of alternate interior angles. (Option B is the correct answer).

Angle 28 would not be congruent to the measure of 27. (Option A is the correct answer).

Angle 41 and Angle 23 are an example of corresponding angles. (Option D is the correct answer).

Option B: 23 is not an example of supplementary angles.

Angle 22 is vertical to Angle 27. Therefore, m22 = m27 = 115°.

Angle 23 and Angle 25 are alternate interior angles, so they are congruent. Therefore, m23 = m25 = 63°.

Angle 1 and Angle 26 are corresponding angles, so they are congruent. Therefore, mz1 = mz6 = 57°.

Parallel lines are two or more lines in a plane that never intersect each other, no matter how far they are extended. In other words, they are always at the same distance from each other and never cross.

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