HJ congruent to HK measurements of angle HKL = (x+50), measurements of H = (x-30). Find the measurement of H.

Larger the value of r² (R²) imply that the observations are more closely grouped about the least squares line (regression line) option C.

The dependent variables on the y-axis and the independent variables on the x-axis are shown as a linear connection by a regression line. By examining the data pattern the variables' effects have created, the correlation is established.

As the (R2) is large therefore, the model is a good fit or bounded close to  regression line least squares line (regression line).

In a regression graph, the regression line that is closest to the data points is shown. By changing the value of x in the regression equation, this statistical tool helps study how a dependant variable y behaves when the independent variable x changes.

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Complete question:

Larger values of r2 (R2) imply that the observations are more closely grouped about the

Group of answer choices:

Answer:

It is e = 3

Step-by-step explanation:

It is e = 3 and not e = -3 because 44e - 41 e = 3e, then you'd subtract 30 from both sides to get the 3e equal to something which is 9. then dividing both sides by 3 would give you e = 3

The width of the garden is 18 feet. In this case, the length of the diagonal of the rectangular garden is the hypotenuse, and the length and width of the garden are the other two sides. Let's denote the width of the garden as "w".

Given:

Length of the garden = 24 feet

Diagonal of the garden = 30 feet

Using the Pythagorean theorem, we can set up the following equation:

\(24^2\) + \(w^2\) = \(30^2\)

Simplifying:

576 + \(w^2\) = 900

Subtracting 576 from both sides:

\(w^2\) = 900 - 576

\(w^2\) = 324

Taking the square root of both sides:

w = √324

w = 18

So, the width of the garden is 18 feet.

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we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324 Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.

Using the Pythagorean theorem, we can find the width of the garden. If the length is 24 feet and the diagonal is 30 feet, then the width can be found by taking the square root of (30^2 - 24^2), which is approximately 18.97 feet.

Therefore, the garden is about 18.97 feet wide. We can use the Pythagorean theorem to find the width of the rectangular garden.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the diagonal across the garden is the hypotenuse, and the length and width of the garden are the other two sides.

The diagonal is 30 feet, and the length is 24 feet. We need to find the width (w).

The Pythagorean theorem formula is:a² + b² = c²Where 'a' and 'b' are the two shorter sides, and 'c' is the hypotenuse.

In this case, we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.

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Answer: ok so i think the answer is 4.2 or 5.2 if im wrong then well sorry

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Answer:

3/4 - 2/11 = 25/44

Step-by-step explanation:

To work out 3/10 + 1/3, we need to find a common denominator. The smallest common multiple of 10 and 3 is 30. So we can rewrite each fraction with a denominator of 30:

3/10 + 1/3 = 9/30 + 10/30 = 19/30

Therefore, 3/10 + 1/3 = 19/30.

To work out 3/4 - 2/11, we need to find a common denominator. The smallest common multiple of 4 and 11 is 44. So we can rewrite each fraction with a denominator of 44:

3/4 - 2/11 = 33/44 - 8/44 = 25/44

Therefore, 3/4 - 2/11 = 25/44

Answer:

There is nothing to refer to

Step-by-step explanation:

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that exactly 36 of them buy a product is P(X = 36), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044\)

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Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

The measure in the drawing in will be 2 mm if Duncan made a scale drawing of a house. The scale he used was 1 millimeter: 7 meters.

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that:

Duncan made a scale drawing of a house. The scale he used was 1 millimeter: 7 meters.

1 mm = 7 meters

The actual length = 14 meters

The measure in the drawing = 14/7 = 2 mm

Thus, the measure in the drawing in will be 2 mm if Duncan made a scale drawing of a house. The scale he used was 1 millimeter: 7 meters.

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Answer:

\(\csc \left(x\right)=\frac{\csc \left(x\right)+\sec \left(x\right)}{1+\tan \left(x\right)}\)

\(=\frac{1}{\sin \left(x\right)}\) (expressed with sine and cosine)

\(\frac{1}{\sin \left(x\right)}=\csc \left(x\right)\)

\(=\csc \left(x\right)\)

Therefore, the identity has been proven true.

Answer:

the slope, m, is 2/5

Step-by-step explanation:

y = (2/5)x - 7 may be compared to the standard slope-intercept equation

y = mx + b.  By comparison, we find that the slope, m, is 2/5 and the y-intercept, b, is -7.

Answer:

$24

Step-by-step explanation:

h x 5 = 30

h = 6

30 - 6 = 25

There you go. I think that's how it's done. Hope it's useful.

Answer:

32 inches tall

Step-by-step explanation:

Pythag orean theorem

60^2  + tall^2 = 68^2

tall = 32 inch

Answer:

A

Step-by-step explanation:

If the equation of the line is written in slope-intercept form, y = mx + b then the value of b will be -21; the correct answer is option A.

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

This is because the more the height of the line to thee amount we walk or run on the horizontal axis, the more the slope is. That is why we took difference of horizontal axis in denominator and difference of vertical axis on numerator.

Formula for slope, thus, is;

Slope = (y₂ - y₁) / (x₂ - x₁)

Parameters;

J(-4, -5) and K(-6, 3)

= (3 - (-5)) / (-6 - (-4))

= (3 + 5) / (-6 + 4)

= 8 / -2

= -4

Substitute one of the coordinates into the formula to solve for b

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

b = - 21

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The probability that Marta makes at least 2 of the 3 free throws is 0.73.

1. Marta makes all three free throws :

Probability of making one free throw = 0.90 (90%)

Chance of converting all three free throws =  \(\(0.90 \times 0.90 \times 0.90\)\)

2. Marta makes two free throws and misses one

Probability of making one free throw = 0.90 (90%)

Missing one free throw has a probability = 1 - 0.90

                                                              = 0.10 (10%)

Probability of making two free throws and missing one

\(=\(0.90 \times 0.90 \times 0.10 + 0.90 \times 0.10 \times 0.90 + 0.10 \times 0.90 \times 0.90\)\)

3. Marta makes one free throw and misses two (OXO, OOX, XOO):

Probability of making one free throw = 0.90 (90%)

Missing one free throw has a probability = 1 - 0.90

                                                              = 0.10 (10%)

Probability of making one free throw and missing two

= \(\(0.90 \times 0.10 \times 0.10 + 0.10 \times 0.90 \times 0.10 + 0.10 \times 0.10 \times 0.90\)\)

Now, add the probabilities of all these scenario

\(\[\text{Probability of making at least 2 free throws} \\= \text{Probability of making all three} \\+ \text{Probability of making two and missing one} \\+ \text{Probability of making one and missing two}\]\)

= 0.729

Thus, the probability is 0.73.

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The value of x + y in the given expression is determined as -21.

The value of x + y is calculated by setting up the following equation with exponent rules.

From the first function, we will have the following equation;

\(2^{3x} = 8^{y +3}\)

Simplify the equation as follows;

\(2^{3x} = 2^3^{(y +3)}\\\\\)

3x = 3(y + 3)

x = y + 3

From the second expression, we will have the following;

\(4^{x + 1} = \frac{16^{(y + 1)}}{8^{(y + 3)}}\)

Simplify as follows;

\(2^{2}^{(x + 1)} = \frac{2^4^{(y + 1)}}{2^3^{(y + 3)}}\)

\(2(x + 1) = \frac{4(y + 1)}{3(y + 3)}\)

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

2x + 1 = 4y + 4 - 3y - 9

2x = y - 6

Substitute the value of x;

2( y + 3) = y - 6

2y + 6 = y - 6

y = -6 - 6

y = -12

x = y + 3

x = -12 + 3

x = -9

The value of x + y = -9 - 12 = -21

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The cost of 1 liter for the small and medium cans is 4.4 and 2.4.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

As,  

Small can: A 200 ml can costs £0.88.

Medium can: A 500 ml can costs £1.32.

Large can: A 1 litre can costs £3.60.

Now, 200 ml = 0.2 l

500 ml = 0.5 l

For 0.2 l = 0.88

For 1 l= 0.88/0.2

For 1 liter = 4.4

For 0.5l medium can = 1.32

For 1 l medium can= 1.32/0.5

For 1 l medium can = 2.4

Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.

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Answer: Infinite solutions

Step-by-step explanation:

Solve4x+6y=9for x:

4x+6y=9

4x+6y+−6y=9+−6y(Add -6y to both sides)

4x=−6y+9

4x /4 = −6y+9 /4

(Divide both sides by 4)

x= −3 /2 y+ 9 /4

Substitute

−3 /2 y+ 9 /4

for x in 12x+18y=27:

12x+18y=27

12( −3 /2 y+ 9 /4 )+18y=27

27=27(Simplify both sides of the equation)

27+−27=27+−27(Add -27 to both sides)

0=0

The error in this solution is a computational error.

How to solve and what is computational error?

To solve the problem, the student correctly set up the inequality 3.5x ≤ 21, where x is the cost of the games. However, when they divided both sides of the inequality by 3.5, they made a mistake.

Dividing both sides by 3.5 gives:

x ≤ 6

So the correct solution is that the most Wellington can spend on games is $6.

The mistake the student made was in writing 3.5 next to x instead of dividing both sides of the inequality by 3.5. This is a common mistake when solving inequalities, especially when working with decimals or fractions. It's important to remember to perform the same operation on both sides of the inequality when solving it.

A computational error is a mistake made during a mathematical calculation or computation. It can occur due to various reasons such as miscalculation, incorrect use of formulas, misreading of numbers or symbols, or simply a typo.

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Sure! Here's the 99.5% confidence interval for the true population mean textbook weight: (49.433, 60.567) ounces.

To construct a confidence interval for the true population mean textbook weight, we can use the formula:

Confidence Interval = (sample mean) ± (critical value) * (standard deviation / √(sample size))

Given the information provided:

- Sample mean = 55 ounces

- Population standard deviation = 11.4 ounces

- Sample size = 32 textbooks

First, we need to find the critical value corresponding to a 99.5% confidence level. Since the sample size is relatively small (32 textbooks), we can use a t-distribution instead of a normal distribution.

The degrees of freedom for a t-distribution are given by (sample size - 1). In this case, the degrees of freedom will be (32 - 1) = 31.

Using a t-table or a statistical calculator, we find the critical value for a 99.5% confidence level and 31 degrees of freedom is approximately 2.750.

Now, we can calculate the confidence interval:

Confidence Interval = 55 ± 2.750 * (11.4 / √32)

Confidence Interval = 55 ± 2.750 * (11.4 / 5.657)

Confidence Interval = 55 ± 5.567

Therefore, the 99.5% confidence interval for the true population mean textbook weight is approximately (49.433, 60.567) ounces.

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Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32

your question:

What are all the ways to classify each number? (whole number

What are all the ways to classify each number? (whole numberinteger, or rational number.

answer:

-5 : number is negative therefore it is an integer

4.5 : a decimal that can be written as a fraction therefore it is a rational number

27 : a basic counting number so it is a whole number.

Answer:

<4

Step-by-step explanation:

Hello!

45% of x = 7.2

45x/100 = 7.2

45x = 7.2 * 100

45x = 720

x = 720/45

x = 16

the number = 16

Let 'x' be the distance from THE far bank   where 700 is the distance to the NEAR bank

boat one has travelled 700    (rate = 700/unit time)         boat two has travelled   x    rate = x / unit time

boat one then travels   x  + 400  more      and boat two travels   700 + (700+x -400) more    when they meet

The time is the same      rate x time = distance      distance/rate = time     equate the distances divided by the respective rates

(700 + x + 400)/700     =    (  x  +  700     +  (700+x-400) )/x

1100x + x^2 = 1400x + 700000

x^2-300x -700000 = 0                         quadratic formula yields  x = 1000  

One boat travels 700   the other   1000 whe they first meet.....width of river =   700+ 1000 = 1700 m

2x-5y+7z=6

x-3y+4z=3

3x-8y+11z=11

The estimated value of the infinite sum [infinity] (2n + 1)−9 n = 1 is 0.00253, correct to five decimal places.

To estimate the sum, we can use the formula for the sum of an infinite geometric series, which is a/(1-r), where a is the first term and r is the common ratio.

In this case, the first term is (2(1) + 1)−9 = 1/512, and the common ratio is 2/3. Therefore, the sum can be estimated as (1/512)/(1-(2/3)) = 1/2560 = 0.000390625.

However, since this only gives us two decimal places of accuracy, we need to add more terms to the sum to get a more accurate estimate. By adding more terms using a calculator or computer program, we find that the sum converges to approximately 0.00253, correct to five decimal places.

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