The normal curve represents a distribution where the
are equal to each other.
a. range/ standard deviation/variance
b. mean/median/standard deviation
c. mode/median/standard deviation
d. mean/median/mode
and

Answer:

[tex]m = \frac{29 - 20}{33 - 8} = \frac{9}{27} = \frac{1}{3} [/tex]

[tex]20 = \frac{1}{3} (8) + b[/tex]

[tex] \frac{60}{3} = \frac{8}{3} + b[/tex]

[tex]b = \frac{52}{3} [/tex]

[tex]y = \frac{1}{3} x + \frac{52}{3} [/tex]

[tex]3y = x + 52[/tex]

[tex] - x + 3y = 52[/tex]

[tex]x - 3y = - 52[/tex]

The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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Answer:

6

Step-by-step explanation:

y2=144 +81 = 225

225 sqaure root =. 15

so the triangle lenghts are 9 12 15  

the other ones lenghts are x 8 10

to find how they changed you could use cross multiplication.

so you will get 12 x = 72 and simply it to get x = 6

The numbers closest to the middle of the squares of consecutive integers around 69² are 4624 and 4761, which are at the squares of 68 and 69, respectively.

To find the number closest to the middle of the squares of consecutive integers around 69², we can use the fact that the squares of consecutive integers increase by an odd number. Specifically, the difference between the squares of consecutive integers n and n+1 is

(n+1)² - n² = 2n + 1

Therefore, the squares of consecutive integers around 69² are

67² = 4489

68² = 4624

69² = 4761

70² = 4900

71² = 5041

The middle of these squares is between 69² and 70², which is

(69² + 70²)/2 = 9674.5

So, we want to find the squares of the integers closest to 9674.5. Since 69 is closer to 9674.5 than 70, the two squares that are closest are

68² = 4624

69² = 4761

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--The given question is incomplete, the complete question is given

" What Interferes are closest to the number in the middle of 69²? "--

The practical use of the confidence interval will be C. The confidence interval can be used to estimate that, with 90% confidence, the interval from true mean DNA base of all people

CI = 2.7 ± 1.645 * (1.0801/√10) ≈ (1.4, 4.0)

Therefore, the 90% confidence interval for the population mean µ is (1.4, 4.0).

The efficacy of confidence intervals lies in their aptitude to determine the probable range of values wherein the authentic populace mean probably resides, with a provided level of assurance. Consequently, we can assert with 90% sureness that the true population mean of DNA bases are likely to rest between 1.4 and 4.0.

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Answer:

you can make 12 cans of them

Answer:

A= 7

B= 4

C= 10

D= 0

E= 13

answers in attachment below

The solution to the set of equations are:

x = 17/7

y = 20/7

We have,

The two equations are:

x + y = 7 ______(1)

x² - y² = 15 _______(2)

We can use the method of substitution.

From the first equation.

y = 7 - x

We can substitute this expression for y into the second equation.

x² - (7 - x)² = 15

Expanding the square in the second term gives:

x² - (49 - 14x + x²) = 15

Simplifying this equation.

-14x + 34 = 0

Solving for x gives:

x = 17/7

Substituting this value of x into the first equation.

y = 7 - x = 20/7

Therefore,

The solution to the set of equations are:

x = 17/7

y = 20/7

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The complete question:

Solve the set of algebraic equations.

x + y = 7

x² - y² = 15

The best conclusion to make based on the data is B The difference of the means is significant because the rerandomizations show that it is outside the range of what could happen by chance.

Given the details and dot plot, option B) is considered to be the most beneficial conclusion. This would imply that the difference between the means of fleas for two various treatment groups is not merely due to happenstance and is in fact statistically noteworthy.

Examining the randomizations further confirms that this deviation lies out of the expected parameter based on mere chance.

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Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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Sharon's employer deducts taxes from her salary to pay the federal government directly, which is a type of payroll tax. Nelson's company pays taxes based on a percentage of profits for the year, which is a type of corporate tax.

Priscilla pays more than the value listed on the price tag of a summer dress, which is a type of sales tax. Lincoln pays taxes directly to the government for the land he owns, which is a type of property tax.

Payroll taxes are levied on the earnings of employees and are used to fund social security, Medicare, and other federal and state programs. Corporate taxes are taxes on the profits earned by businesses.

Sales taxes are levied on the price of goods or services sold to consumers. Property taxes are levied on real estate owned by individuals or businesses based on the assessed value of the property.

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The point (-4, -3) after the reflection across the y-axis and z-axis will be (-4, 3).

Given that:

Point, N(-4, -3)

A point's x-coordinate gets negated but its y-coordinate stays the same when it is reflected across the y-axis. Thus, the point N'(4, -3) would be produced by reflecting point N(-4, -3) across the y-axis.

A point's y-coordinate is negated but its x-coordinate remains unchanged when it is reflected across the z-axis. Thus, the point N"(-4, 3) would be produced by reflecting N'(4, -3) across the z-axis.

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By selecting 100 inhabitants who pay real estate tax, using the town's list of taxpayers and a random number generator, Option D offers an arbitrary population sample.

This approach guarantees that each taxpayer has an equal likelihood of being chosen for the study, resulting in a diversified sample representation.

Conversely, the other options have possible biases or restrictions; like surveying solely soccer player's guardians might narrow it down to one particular group or only conducting them in designated areas could lead to misrepresentation within the frame of the entire general opinion poll.

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Answer:

A golden rectangle is a rectangle whose length and width are in the golden ratio, which is approximately 1.618. This means that if one side of the rectangle is x, then the other side is approximately 1.618x.

In this case, we know that one side of the rectangle is 0.82 centimeters. To find the length of the other side, we can multiply this value by the golden ratio:

1.618 × 0.82 ≈ 1.327

Therefore, the length of the other side of the rectangle is approximately 1.327 centimeters.

The input value that corresponds to an output value of 15 is x = -1/3.

To find the input value (x) that corresponds to an output value of 15, we need to derive an equation:

15 = 60 / (3x + 5)

Multiplying both sides by (3x + 5), we get:

15(3x + 5) = 60

Expanding the left side, we get:

45x + 75 = 60

Subtracting 75 from both sides, we get:

45x = -15

Dividing both sides by 45, we get:

x = -1/3

Therefore, the input value that corresponds to an output value of 15 is x = -1/3.

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To simplify the expression 2/(x-1) - x/(x^2+1) - 1/(x+1), we need to find a common denominator for all three terms.

The common denominator for the three terms is (x-1)(x^2+1)(x+1). We can rewrite each term using this denominator as follows:

2/(x-1) = 2*(x^2+1)*(x+1) / [(x-1)(x^2+1)(x+1)]

x/(x^2+1) = x*(x-1)*(x+1) / [(x-1)(x^2+1)(x+1)]

1/(x+1) = (x^2+1) / [(x-1)(x^2+1)(x+1)]

Now, we can combine the three terms by subtracting the second and third terms from the first, and simplify as follows:

2*(x^2+1)*(x+1) / [(x-1)(x^2+1)(x+1)] - x*(x-1)*(x+1) / [(x-1)(x^2+1)(x+1)] - (x^2+1) / [(x-1)(x^2+1)(x+1)]

= [2*(x^2+1)*(x+1) - x*(x-1)*(x+1) - (x^2+1)] / [(x-1)(x^2+1)(x+1)]

= [2x^3 + 2x - x^3 + x^2 - x^2 - 1] / [(x-1)(x^2+1)(x+1)]

= (x^3 + 2x - 1) / [(x-1)(x^2+1)(x+1)]

Therefore, the simplified expression is (x^3 + 2x - 1) / [(x-1)(x^2+1)(x+1)].

The image of A after a reflection using the y-axis is (-2, -1).

Given that, the coordinate of point A is (2, -1).

The image of A after a translation 2 units to the right.

Translation rules:

When the shape is moved towards the right by k units, then replace x with x + k.

Here, (2+2, -1)=(4, -1)

The image of A after a reflection using the y-axis.

The reflection of point (x, y) across the y-axis is (-x, y).

So, the image of point A is (-2, -1)

The image of A after a rotation of 180° using center (0, 0)

Rule: (x, y) becomes (-y, x)

So, the image of point A is (1, 2)

Therefore, the image of A after a reflection using the y-axis is (-2, -1).

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The multiplication of the given two matrices A and B gives,

AB = [tex]\left[\begin{array}{ccc}-9&0\\9&9\end{array}\right][/tex]

Given two matrices,

A = [tex]\left[\begin{array}{ccc}1&3&-1\\3&0&3\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}3&0\\-4&1\\0&3\end{array}\right][/tex]

We have to find the product of these matrices.

We have to multiply each row of A with each column of B.3

(AB)₁₁ = (1 × 3) + (3 × -4) + (-1 × 0) = -9

(AB)₁₂ = (1 × 0) + (3 × 1) + (-1 × 3) = 0

(AB)₂₁ = (3 × 3) + (0 × -4) + (3 × 0) = 9

(AB)₂₂ = (3 × 0) + (0 × 1) + (3 × 3) = 9

Hence the product is,

AB = [tex]\left[\begin{array}{ccc}-9&0\\9&9\end{array}\right][/tex]

Hence the product is AB = [tex]\left[\begin{array}{ccc}-9&0\\9&9\end{array}\right][/tex].

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The approximate population density of Monaco in persons per square mile in 1999 was 42,666.67.

To calculate the population density of Monaco in persons per square mile, we need to divide the population of Monaco by the area of the country in square miles.

First, we need to convert the area of Monaco from square miles to square feet because the population figure is in persons per square mile.

1 square mile = 5280 feet × 5280 feet = 27,878,400 square feet

So, the area of Monaco in square feet is approximately:

(3/4) × 27,878,400 = 20,908,800 square feet

Now, we can calculate the population density in persons per square mile:

Population density = Population / Area

Population density = 32,000 / (20,908,800 / 27,878,400)

Population density = 32,000 / 0.75

Population density = 42,666.67 persons per square mile (rounded to two decimal places)

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Being male and preferring Brand A are independent, as:

P(male|Brand A) = P(male).

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

From the table, we are already given the relative frequencies, hence we must simply identify the desired outcomes and the probability of being male is given as follows:

0.5 + 0.15 = 0.65.

The conditional probability of being male, given that the person prefers brand A, is given as follows:

P(male|Brand A) = P(male and Brand A)/P(Brand A) = 0.5/0.8 =  0.625.

As the probabilities are equal, the events are independent.

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The  volume of rectangular prism is 90 unit³.

We can consider the 1 block = 1 unit.

Length of prism = 5 unit

width of prism = 6 unit

Height of prism = 3 unit

So, Volume of rectangular prism

= l w h

= 5 x 6 x 3

= 90 unit³

Thus, the volume of rectangular prism is 90 unit³.

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The values of the products of the given fractions are 4 and 1 11/16.

Given are fractions we need to divide them,

We know that the in dividing the fraction we just flip the second fraction and change the sign of division by the sign of multiplication,

Here we will use the same concept,

1) 4/5 ÷ 1/5

Flipping the second fraction, and changing the sign of division by the sign of multiplication,

4/5 ÷ 1/5

= 4/5 × 5/1

= 20/5

= 4

Similarly,

2) 2 1/4 ÷ 1 1/3

Here the fractions are given in mixed form, firstly we will change them into proper fractions, then apply the same concept as above,

2 1/4 ÷ 1 1/3

= 9/4 ÷ 4/3

= 9/4 × 3/4

= 27/16

= 1 11/16

Hence the values of the products of the given fractions are 4 and 1 11/16.

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The value of x is 2√14 mi

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore, if a and b are the legs of the triangle and c is the hypotenuse, then

c² = a²+b²

here, x and 5 are the legs and 9 is the hypotenuse of the triangle.

therefore;

x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = √4×14

x = 2√14

Therefore the value of the Missing side is 2√14 mi

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Answer:

Let x be the number of additional outfits.

5 + x < 11

Using proportions, it is found that you need 900 quarts of brown stock to make the servings of mushroom gravy.

We know that;

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Now, In this problem,

Each serving takes 75 cups of brown stock is,

= 75/4

= 18.75 quarts.

So, 48 servings will be made,

hence the number of quarts is given by:

n x Q = 48 x 18.75

= 900 quarts.

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Answer:

Step-by-step explanation:5.7

Answer:

180 cmStep-by-step explanation:

The requried, correct statment is shown below,

B) The report accurately states the results because a mean score of 3.2 is greater than the predicted average of 3 on the statement regarding prioritizing free time.

C) The report does not accurately interpret the result of the statement regarding prioritizing free time.

D) The report of the study should state that there is a strong correlation between participation in sports and the ability to prioritize free time rather than make a broad conclusion.

Statement A is not true as it suggests a specific sampling method is necessary for accuracy, which is not necessarily the case. The study can still be accurate if the sample is randomly selected and sufficiently large.

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Answer:

V=1/3*pi*radius(to the power of two)*height

Answer: 14 in squared

The lateral area of the triangular prism is 288 square inches and the surface area is 336 square inches

The lateral area of a right triangular prism is given by:

LA = perimeter of base triangle * height

LA = (a + b + c) * h    (check attached image for labeling)

where a, b and c are the bases of the rectangular faces and h is the total height of the prism.

a = 10 in, c = 8 in and h = 12 in

b = √(10² - 8²)      (Pythagoras)

b = 6 in

LA = (10 + 6 + 8) * 12

LA =  288 square inches

The surface area of a right triangular prism is sum of the areas of the faces that make the prism.

The surface area of a right triangular prism is given by:

SA = (a + b + c)h + bc

SA = [(10 + 6 + 8)*12] + [6 * 8]

SA = 288 + 48

SA = 338 square inches

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Complete Question

Check image