FIND THE PERIMETER AND AREA OF THE TRIANGLE BELOW

Answer:

A.7

Step-by-step explanation:

You first have to add 8 and -15

Then, find the absolute value

So, the answer is 7

Answer:10

Step-by-step explanation:

5.5 equals 25.then you subtract 25 by 25 and get zero.

The incidence rate of active cases of tb for the 6-month period was  0.00014

An incidence rate describes how quickly disease occurs in a population.

Incidence rate is the rate of new occurrence of a particular disease divided by the population of people at risk of the disease.

So for this question

The number of new  active cases of tb occurring between January 1 and June 30, 2012 was 26

Population at risk  in Baltimore is 183,000

Incidence rate = 26/183,000

The incidence rate of active cases of tb for the 6-month period was           0.00014 or 14 per 100,000 population.

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The value of 5% of 260 is 13 as it is 5 times of 1% of 260 and the value of 1% of 260 is 2.6.

Percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

so, according to the question

Let 1% of 2600 = X

1/100 * 260 = X

X = 2.6

5% is 5 times of 1% so we can just multiply the value we got after 1% of 260

i.e., 2.6

so 5% of 260 is 5 * 2.6

            = 13.0

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It is not possible to determine the greatest number of people Monica can serve with pasta bake based solely on the information provided.

The amount of milk and other ingredients she has does not necessarily indicate how many portions she can make. Other factors such as the recipe she is using, the size of each serving, and the equipment she has available will also impact how many people she can serve. In order to determine the number of portions she can make, more information is needed about the recipe and the serving size she is aiming for.It is not possible to determine the greatest number of people Monica can serve with pasta bake based solely on the information provided.

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The number of each type of ticket sold in the following situation:

1. The tickets of $5.00  = 400

2. The tickets of $7.50 =  200

A linear equation is an algebraic equation in which the highest power of the variable is 1. In simple words, a linear equation is an equation in which the variables appear only in the first degree.

Linear equations can be written in the form:

y = mx + b

where y and x are variables, m is the slope (or rate of change), and b is the y-intercept (the point where the line crosses the y-axis).

Let x be the number of tickets sold before the day of the game and y be the number of tickets sold at the game.

Then we have:

x + y = 600 (the total number of tickets sold)

and

5x + 7.5y = 3500 (the total receipts from ticket sales)

To solve for x and y, we can use substitution.

Simplify and solve for y:

3000 - 5y + 7.5y = 3500,

2.5y = 500

y = 200

Substitute y = 200 back into the equation x + y = 600 to find x:

x + 200 = 600,

x = 400.

Therefore, 400 tickets were sold before the day of the game and 200 tickets were sold at the game.

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The complete question:

The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500. Find the number of tickets sold before the day of the game and the number of tickets sold at the day of the game?

Answer:

ST = 12 units

Step-by-step explanation:

Δ STE and Δ SRA are similar ( AA postulate ) , then the ratios of corresponding sides are in proportion, that is

[tex]\frac{ST}{SR}[/tex] = [tex]\frac{TE}{RA}[/tex] ( substitute values )

[tex]\frac{ST}{21-ST}[/tex] = [tex]\frac{8}{6}[/tex] ( cross- multiply )

6 ST = 8(21 - ST)

6 ST = 168 - 8 ST ( add 8 ST to both sides )

14 ST = 168 ( divide both sides by 14 )

ST = 12 units

To design a pool that would fit inside Mr. Taylor's backyard, you would need to know the dimensions of the available space.

You would also need to take into account any landscaping, slopes, and other features of the backyard that could impact the design and construction of the pool.

Once you have the necessary information about the backyard, you can start designing a pool that would be accessible and realistic. Here are some tips and guidelines for designing a pool.

Choose a shape and size that fits the available space and is functional. Rectangular or oval shapes are typically the most common and practical, but other shapes can be used as well.

Consider the depth of the pool. For safety reasons, the depth should be at least 4 feet at the shallow end and 8 feet at the deep end. You may also want to consider adding a gradual slope in the pool to make it easier for people to enter and exit.

Choose the material for the pool. Concrete, fiberglass, and vinyl are common materials used for pools. Each material has its own advantages and disadvantages, so research the options and choose the one that is best for your design and budget.

Consider adding features such as a diving board, slide, or waterfall to make the pool more enjoyable and attractive.

Calculate the amount of water it will take to fill the pool. This will depend on the size and depth of the pool. To get an estimate, you can use online pool volume calculators or consult with a pool contractor.

Once you have a design for the pool and know how much water it will take to fill, you can determine if it is feasible and within Mr. Taylor's budget.

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Answer:

A

Step-by-step explanation:

Answer: the answer is A

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

x=3

4-2x=-2

-2x=-6

x=3

Answer:

Positive

Step-by-step explanation:

She incorrectly solved it because 4-2x = 2 ( Positive )

Nonlinear transformations can improve the quality of the fit and reduce the residuals in regression analysis.

Nonlinear transformation is a mathematical technique used to transform data that is not linearly related into a linear form.

To explore which transformations can improve the quality of the fit, one can start by plotting the data and examining its distribution. Some common nonlinear transformations include logarithmic, exponential, power, and square root functions.

To determine which transformation gives the best fit, one can use different techniques such as trial and error or statistical tests. For instance, one can try fitting a linear model to the data and then apply different transformations, plotting the residuals against the predicted values to assess the goodness of fit.

The f-tests compare the performance of models with and without transformations, and a significant difference in the goodness of fit indicates that the transformed model is better.

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Answer:

the answer is a=15cm

Step-by-step explanation:

c²=a²+b²

where c=Hypothenuse,a=adjacent, b=opposite

a²=c²-b²

a²=39²-36²

a²=1521-1296

a²=225

take Square root of both sides

a=15cm

In  ΔABC, we can conclude that m∠A < m∠C and m∠B < m∠A < m∠C. Hence, options a. and d. are the accurate solutions.

The angle opposite to the longest side of the triangle is the largest angle of the triangle, similarly, the angle opposite to the smallest side of the triangle is the smallest angle of the triangle.

In the given ΔABC, we have,  

The longest side = AB = 3.1

The angle opposite to side AB = m∠C

The smallest side = AC = 2.9

The angle opposite to side AC = m∠B

side CB = 3

The angle opposite to side CB = m∠A

We have,

side AC < side CB < side AB

m∠B < m∠A < m∠C

From the given relations in the options provided, we get,

a. m∠A < m∠C

d. m∠B < m∠A < m∠C

are correct interpretations.

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The complete question is -

Select all the angle relationships in △ABC that are correct.

The probability that the ninth woman to appear is in position 17 is about 5.59%

We can approach this problem by using the binomial probability distribution. Let X be the number of women among the first 16 people in the line. Then X follows a binomial distribution with parameters n = 16 and p, the probability that any given person among the first 16 is a woman. We want to find the probability that X = 8, since this means that the ninth woman to appear is in position 17.

The probability of any given person being a woman is not specified in the problem, but we can assume that it is 0.5 for simplicity. Therefore, p = 0.5, and we can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which gives the number of ways to choose k items from a set of n items. In this case, it gives the number of ways to choose k women from the first 16 people in the line.

Using this formula with n = 16 and k = 8, we get:

P(X = 8) = (16 choose 8) * 0.5^8 * 0.5^8

= 12870 * 0.00390625

= 50.27

This means that the probability of exactly 8 women appearing among the first 16 people in the line is about 50.27%.

Given that there are 8 women among the first 16 people, the probability that the ninth woman appears in position 17 is 1/9, since there are 9 possible positions for the ninth woman to appear, and they are all equally likely.

Therefore, the overall probability that the ninth woman to appear is in position 17 is:

P(X = 8) * (1/9) = 50.27% * (1/9) = 5.59%

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Yes, Jerome's prediction is true that customers will draw a 10% discount coupon one-sixth of the time.

The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur.

Yes, Jeremore is correct.

It is given that a box has

Number of 10% discount coupons = 5

Number of 15% discount coupons = 8

Number of 20% discount coupons = 7

Number of 25% discount coupons = 6

Number of 40% discount coupons = 4.

The total coupons in the box = 5+8+7+6+4 = 30.

So, the probability that the customer will get a 10% coupon is

Number of 10% coupons/ Total coupons = 5/30= 1/6.

So, Jerome's prediction is true that customers will draw a 10% discount coupon one-sixth of the time.

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The following statements are true about the function f(x) = -( x-4) ² -1

1. The y intercept is (0,-17)

2. The axis of symmetry x = 4

3. The x intercept is (3,0)

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

The equation f(x) = -(x-4)² -1 can be expanded as

f(x) = -x²+8x-16-1 = -x²+8x-17

therefore when x = 0

the y-intercept = -17

therefore the y intercept = (0,-17)

The x intercept of the function,

when y = f(x) and y = 0

-(x-4)² = 1

-(x-4) = 1

-x+4 = 1

-x = -3

x = 3

the x intercept of the function is (3,0)

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The table of values satisfies the linear equation y = −3x/4 − 6 is: C. table C.

In order to determine which ordered pairs are valid and true solutions based on the given linear equation, we would have to test the given ordered pairs by substituting their values into the linear equation as follows;

For ordered pair (-4, -9), we have:

y = −3x/4 − 6

-9 = −3(-4)/4 − 6

-9 = 3 − 6

-9 = -3 (False).

For ordered pair (-8, -12), we have:

y = −3x/4 − 6

-12 = −3(-8)/4 − 6

-12 = 8 − 6

-12 = 2 (False).

For ordered pair (-4, -3), we have:

y = −3x/4 − 6

-3 = −3(-4)/4 − 6

-3 = 3 − 6

-3 = -3 (True).

For ordered pair (0, -6), we have:

y = −3x/4 − 6

-6 = −3(0)/4 − 6

-6 = 0 − 6

-6 = -6 (True).

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Complete Question:

Which table of values satisfies the linear equation y = −3x/4 − 6?

A solution (6.5, 17.50) does not make sense in the context of the problem, as the number of movies watched must be a non-negative integer.

The general format of an ordered pair is given as follows:

(x,y).

The meaning of an ordered pair (x,y) is that y = f(x), meaning that the numeric value of the function at the value of x is of y.

The variables for this problem are given as follows:

You can watch 1, 2, 3, ... and so on movies, a countable amount, hence 6.5 movies watched does not make sense in the context of this problem as decimal numbers are outside the function's domain.

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There are 28 ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers. Hence, the accurate answer is option (b) 28.

To determine the number of ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers, we will use the formula for combinations, which is given by -

nCk = n! / (k!(n-k)!)

where n is the total number of items, k is the number of items to be selected, and ! denotes the factorial function (the product of all positive integers up to a given number).

Here, we are given n = 8 fish and k = 2 fish.

Thus, the number of ways to select and place 2 fish from 8 fish will be -

8C2 = 8! / (2!(8-2)!) = (8 x 7) / (2 x 1) = 28

Therefore, there are 28 ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers.

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The expression which is equivalent to (14x)⁰y-⁷z as required in the task content is; z / y⁷.

It follows from the task content that the expression which is equivalent to the given expression (14x)⁰y-⁷z is to be determined.

Recall from the laws of indices that a⁰ = 1 where a represents any mathematical entity.

Therefore, the resulting expression is;

1 • y -⁷ • z

= z • 1 / y⁷

= z / y⁷.

Ultimately, the resulting expression which is equivalent is; z / y⁷.

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Approximately it takes 6 years to the population be fewer than 11,000.

If the constant decrease in population be R% per annum, then the population after n years = P(1-R/100)ⁿ.

Given that, A=11,000, rate of interest=8% and P=18,000.

Here, 11,000=18,000(1-8/100)ⁿ

11/18=(1-0.08)ⁿ

0.611=(0.92)ⁿ

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

n=ln(0.611)/ln(0.92)

Decimal Form: n=5.90847701…

n=6

Therefore, approximately it takes 6 years to the population be fewer than 11,000.

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"Your question is incomplete, probably the complete question/missing part is:"

The population of a town is 18,000. it decreases at a rate of 8% per year. In about how many years will the population be fewer than 11,000?

The functions are solved for the inverses and matched as follows

1. not inverse function

2. not inverse function

3. inverse functions

4. not inverse function

5. not inverse function

6. not inverse function

1. g(n) = -1/n + 1 and f(n) = -1/(n - 1)

say y = g(n) = -1/n + 1

y - 1 = -1/n

-y + 1 = 1/n

n = -1/(y - 1)

interchanging the variables

y = -1/(n - 1)

2. The cube root of 4 not in the inverse hence this is not inverse function.

3. g(x) = (x + 2)³ - 3 and f(x) = ∛(x + 3) - 2

say y = g(x) = (x + 2)³ - 3

y + 3 = (x + 2)³

x + 2 = ∛(y + 3)

x = ∛(y + 3) - 2

interchanging the variables

y = f(x) = ∛(x + 3) - 2 this is inverse functions

4.f(n) = 4/(n - 1) - 3 and g(n) = -2/n + 1

say y = f(n) = 4/(n - 1) - 3

y + 3 = 4/(n - 1)

1 / (y + 3) = (n - 1) / 4

4 / (y + 3) = n - 1

4 / (y + 3) + 1 = n

interchanging the variables

y = 4/(n + 3) + 1 this is not inverse functions

5. g(x) = 4/(x - 3) - 2 and f(x) = -2/(x + 1)

say y = g(x) = 4/(x - 3) - 2

y + 2 = 4/(x - 3)

1 / (y + 2) = (x - 3) / 4

4 / (y + 2) = x - 3

4 / (y + 2) + 3 = x

interchanging the variables

y = 4/(x + 2) + 3 this is not inverse functions

6. f(x) = 2/(x - 3) - 1 and g(x) = -3(-x + 2) - 2

say y =  f(x) = 2(x - 3) - 1

y + 1 = 2/(x - 3)

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

2 / (y + 1) = x - 3

2 / (y + 1) + 3 = x

interchanging the variables

y = 1/(x + 1) + 3 this is not inverse functions

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Range, because it measures the distinction between the highest and lowest values in a dataset, providing a clear estimate of variability for both sets of data. It is unaffected by skewness or symmetry, making it a useful measure of variability for comparing the temperature consistency of Desert Landing and Flower Town.

A histogram is a rough illustration of how numerical values are distributed. Karl Pearson coined the phrase at the beginning.

A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data points over a range of successive numerical intervals of equal width. The independent variable and dependent variable are plotted along the horizontal axis and the vertical axis, respectively, in the most typical type of histogram.

A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.

Therefore, the correct answer is both option c) and d) Range, because Flower Town is skewed and symmetric.

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The length of the rectangle is [tex]8x^2y^3[/tex] inches when  the area of the rectangle is [tex]48x^3y^5[/tex] square inches.

To find the length of the rectangle, we can use the formula for the area of a rectangle, which is:

Area = length x width

We are given that the area of the rectangle is [tex]48x^3y^5[/tex] square inches, and its width is [tex]6xy^2[/tex] inches. Therefore, we can substitute these values into the formula to get:

[tex]48x^3y^5 = length * 6xy^2[/tex]

Simplifying this equation, we can cancel out the common factors of 6x and [tex]y^2[/tex] on both sides to get:

[tex]8x^2y^3 = length[/tex]

Therefore, the length of the rectangle is [tex]8x^2y^3[/tex] inches.

To verify our answer, we can substitute the length and width back into the formula for the area of a rectangle and check if it matches the given area:

Area = length x width = [tex](8x^2y^3) * (6xy^2) = 48x^3y^5[/tex]

Since this matches the given area, we can be confident that our answer is correct. Therefore, the length of the rectangle is [tex]8x^2y^3[/tex] inches.

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On solving the provided question we can say that  7/8 show 87 and 1/2% as a fraction

Any number of equal parts or fractions can be used to represent a whole. Standard English fractions indicate how many units of a particular size there are. 8, 3/4. Whole contains fractions. The numerator to denominator ratio is a way of representing numbers in mathematics. Each of these is a simple fractional integer. A complex number has a fraction in its numerator or denominator. A proper fraction has a numerator that is smaller than the denominator. A fraction is a sum that is part of a grand total. It can be evaluated by breaking it down into smaller parts. For example, a whole number or half article is represented as 12.  

7/8 show 87 and 1/2% as a fraction

87 and 1/2% should be written as 87.5%

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The statement that is true is: The equation 4 √2x + 4 √x + 3 = 0 has one solution, which is x = -1/2.

To determine which statement about 4 √2x + 4 √x + 3 = 0 is true, we need to solve the equation.

However, it is not possible to solve the equation exactly because it contains square roots. We can simplify the equation by multiplying both sides by the conjugates of the square roots, which eliminates the square roots.

Multiplying both sides by (2x + x + 3) / (2x + x + 3), we get:

(4 √2x + 4 √x + 3) * (2x + x + 3) / (2x + x + 3) = 0 * (2x + x + 3) / (2x + x + 3)

Expanding the left-hand side, we get:

12x + 6 = 0

Solving for x, we get:

x = -1/2

So, the statement that is true is: The equation 4 √2x + 4 √x + 3 = 0 has one solution, which is x = -1/2.

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The geometric mean of 20 and 30 is 24.49.

What is geometric mean?

The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values.

We are given two numbers as 20 and 30.

Formula for geometric mean is

G.M = √x₁ × ... × xₐ  

So, using this we get

⇒G.M = √20 × 30

⇒G.M = √600

⇒G.M = 24.49

Hence, the geometric mean of 20 and 30 is 24.49.

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