Graph: |y = x - 4|+2

Answer:

13.1 is the original length

Step-by-step explanation: BRAINLIEST pls

213.65 / 12.3 = 17.4

17.4 - 4.3 = 13.1

Answer:

The measure is 68

Step-by-step explanation:

180-112 = 68

side alternate exterior (supplementary)

The measure of angle 1 will be equal to 68.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angle is defined as the angle having the sum of 180 degrees.

Given that there are two parallel lines intersecting one line at an angle of 112. The angle 1 will be calculated as:-

The angle will be calculated as follows:-

∠1 + 112 = 180

∠1 = 180 - 112 = 68

Therefore, the measure of angle 1 will be equal to 68.

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Assuming the 6 is the entire value on the right and it wasn't cut off...

Perimeter:  Add up all the side lenghts, as if you were walking around the rectangle.

perimeter = top + right side + bottom + left side

                 = 3x+4 + 6 + 3x+4 + 6

                 = 6x + 20

Area: Multiply the length times the width.

area = top • right side

        = (3x+4) • 6

        = 18x + 24      using distribution

Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

Given that,

The equation f(x)=1.9(0.41)ˣ.

We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.

We know that,

In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.

In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r

Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.

Consider the function  f(x)=1.9(0.41)ˣ.

We write as

f(x)=1.9(1-0.59)ˣ

So, initial value C is 1.9

Decay factor =0.41

Growth factor = 0.59

Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

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Answer:

Step-by-step explanation:

x^2 - 5x + 6 = 0

(x - 2)(x - 3)

So the critical point are x = 2 and x = 3.

The graph of the function opens upwards and pass through the x axis at (2, 0) and (3, 0).

So the required range is the values of f(x) between  when x = 2 and x = 3

that is  2 < x < 3.

Answer:

Step-by-step explanation:

1 Factor {x}^{2}-5x+6x

2

−5x+6.

(x-3)(x-2)<0

(x−3)(x−2)<0

2 Solve for xx.

x=3,2

x=3,2

3 From the values of xx above, we have these 3 intervals to test.

\begin{aligned}&x<2\\&2<x<3\\&x>3\end{aligned}

​

x<2

2<x<3

x>3

​

4 Pick a test point for each interval.

For the interval x<2x<2:

Let's pick x=0x=0. Then, {0}^{2}-5\times 0+6<00

2

−5×0+6<0.

After simplifying, we get 6<06<0, which is false.

Drop this interval..

For the interval 2<x<32<x<3:

Let's pick x=\frac{5}{2}x=

25

​

. Then, {(\frac{5}{2})}^{2}-5\times \frac{5}{2}+6<0( 25) 2−5× 25+6<0.

After simplifying, we get -0.25<0−0.25<0, which is true.

Keep this interval..

For the interval x>3x>3:

Let's pick x=4x=4. Then, {4}^{2}-5\times 4+6<04 2 −5×4+6<0.

After simplifying, we get 2<02<0, which is false.

Drop this interval..

5 Therefore,

2<x<3

2<x<3

To obtain a confidence interval for a population mean under the t-interval procedure.

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The answer of the given question is (3) the length of the run of the Mighty Drop ski slope is approximately 181.8 feet. (4) the angle of elevation when little Judy looks at her red balloon is approximately 82.7°.

A slope typically refers to the angle of an incline or ramp, or the ratio of vertical change to horizontal change of a straight line or curve on a graph. For an incline or ramp, the slope is the angle between the surface and the horizontal plane. It is defined as the ratio of the vertical rise to the horizontal run of the ramp.

In the context of a graph, slope refers to the steepness of a line or curve. It is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line or curve. The slope of a line can be positive (if the line goes up from left to right), negative (if the line goes down from left to right), or zero (if the line is horizontal).

(3) . To solve for the length of the run of the Mighty Drop ski slope, we can use the trigonometric function tangent, which relates angle of elevation to ratio of opposite and adjacent sides of right triangle.

Let x be the length of the run. Then we have:

tangent(75°) = opposite/adjacent

tangent(75°) = 800/x

Solving for x, we get:

x = 800 / tangent(75°)

x ≈ 181.8 feet

Therefore, the length of the run of the Mighty Drop ski slope is approximately 181.8 feet.

(4) . To solve for the angle of elevation when little Judy looks at her red balloon, we can use the trigonometric function arctangent.

Let θ be the angle of elevation. Then we have:

tangent(θ) = opposite/adjacent

tangent(θ) = 2240/350

Taking the arctangent on  both sides, we will get:

θ = arctangent(2240/350)

θ ≈ 82.7°

Therefore, the angle of elevation when little Judy looks at her red balloon is approximately 82.7°.

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Step-by-step explanation:

no need for a picture, when all the data is specified.

the volume of a cone is

pi × r² × height / 3 = pi×5²×3/3 = pi×25 = 78.53981634... in³

≈ 78.54 in³

The probability that the voter is a Republican is \(29\%\), the probability that the voter is a Independent is \(26\%\) and the probability that the voter is a Democrat is \(46\%\).

In the given question,

The records show that of the registered voters, 45% are Democrats, 36% are Republicans, and 19% are independents.

In an election, 63% of the Democrats, 49% of the Republicans, and 84% of the independents voted in favor of a parks and recreation bond proposal.

In the records,

Registered voters of Democrats \(=45\%\)

So \(P(D)=0.45\)

Registered voters of Republicans \(=36\%\)

So \(P(R)=0.36\)

Registered voters of Independents \(=19\%\)

So \(P(I)=0.19\)

Let \(E\) be the event of voting in favor of a parks and recreation bond proposal.

Democrats \(P(D/E)=63\%=0.63\)

Republicans \(P(R/E)=49\%=0.49\)

Independents \(P(I/E)=84\%=0.84\)

(a) We have to find if a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is a Republican.

Hence the probability that the voter is a Republican is given by Bayes rule

\(P(E/R)=\frac{P(R)*P(R/E)}{P(R)*P(R/E)+P(D)*P(D/E)+P(I)*P(I/E)}\)

\(P(E/R)=\frac{0.36*0.49}{0.36*0.49+0.45*0.63+0.19*0.84}\)

\(P(E/R)=\frac{0.1764}{0.1764+0.2835+0.1596}\)

\(P(E/R)=\frac{0.1764}{0.6195}\)

\(P(E/R)=0.29\)

So the probability that the voter is a Republican is \(29\%\).

(b) We have to find if a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is a Independent.

Hence the probability that the voter is a Independent is given by Bayes rule

\(P(I/R)=\frac{0.19*0.84}{0.36*0.49+0.45*0.63+0.19*0.84}\)

\(P(I/R)=\frac{0.1596}{0.1764+0.2835+0.1596}\)

\(P(I/R)=\frac{0.1596}{0.6195}\)

\(P(I/R)=0.26\)

\(P(E/R)=26\%\)

So the probability that the voter is a Independent is \(26\%\).

(c) We have to find if a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is a Democrat.

Hence the probability that the voter is a Democrat is given by Bayes rule

\(P(D/R)=\frac{P(D)*P(D/E)}{P(R)*P(R/E)+P(D)*P(D/E)+P(I)*P(I/E)}\)

\(P(D/R)=\frac{0.45*0.63}{0.36*0.49+0.45*0.63+0.19*0.84}\)

\(P(D/R)=\frac{0.2835}{0.1764+0.2835+0.1596}\)

\(P(D/R)=\frac{0.2835}{0.6195}\)

\(P(E/R)=0.46\)

\(P(E/R)=46\%\)

So the probability that the voter is a Democrat is \(46\%\).

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Answer:

OK, Here is your answer

Step-by-step explanation:

Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.

Answer:

18 Lieters.

Step-by-step explanation:

found the answer in his answer. ↑↑↑↑

Hello!

6(x-2) - 3x + 1 = 5(x-1) + 4

6x - 12 - 3x + 1 = 5x - 5 + 4

3x - 11 = 5x - 1

5x - 3x = -11 + 1

2x = -10

x = -10/2

x = -5

Answer:

see attached

Step-by-step explanation:

The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Part 1:

To construct a 99% confidence interval for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

where the margin of error is determined by the level of confidence and the standard error.

First, let's calculate the sample proportion:

Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)

Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)

Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)

Now, we can calculate the margin of error:

Margin of Error = Critical Value * Standard Error

The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).

Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)

Finally, we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.5066 ± 0.0350

Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)

Part 2:

The correct interpretation is:

C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.

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We can set up two equations to describe the situation:

Perimeter: 2L + 2W = 32

Length compared to width: L = 2W + 2

Solving for W in equation 2 and substituting into equation 1, we get:

L = 2W + 2

2L + 2W = 32

Substituting L = 2W + 2:

2(2W + 2) + 2W = 32

4W + 4 + 2W = 32

6W + 4 = 32

6W = 28

W = 4.67

So the width of the garden is approximately 4.67 feet. To find the length, we can substitute this back into equation 2:

L = 2W + 2

L = 2(4.67) + 2

L = 9.34 + 2

L = 11.34

So the length of the garden is approximately 11.34 feet.

Maureen's pension would be $50,035.20.

What is Percentage?

To compute a percentage, divide the value by the entire amount and multiply the result by 100. A percentage is a quantity or ratio that is stated as a fraction of one hundred. The percent sign, "%," is frequently used to represent it.

First, we need to calculate the average of Maureen's three highest salaries:

Average = (107,000 + 107,800 + 108,198) / 3

Average = 322,998 / 3

Average = 107,666

Next, we need to calculate 1.56% of this average:

Percentage = 1.56% * 107,666

Percentage = 1,667.84

Finally, we multiply this percentage by the number of years worked to find the pension:

Pension = 30 * 1,667.84

Pension = 50,035.20

So, Maureen's pension would be $50,035.20.

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Answer:

z = 28

Step-by-step explanation:

Let's try this first:

6 = something - 1

Something = 7

Next:

We know that "something" is 1/4z

1/4z = 7

Divide both sides by 1/4 to isolate z

z = 28

Hope this helps :)

Have an awesome day!!

Z=28

first, add one to each side to eliminate the negative one. you'll get:

first, add one to each side to eliminate the negative one. you'll get:7= z

first, add one to each side to eliminate the negative one. you'll get:7= znow, to get rid of the 1/4, multiply both sides by 4.

first, add one to each side to eliminate the negative one. you'll get:7= znow, to get rid of the 1/4, multiply both sides by 4.(7x4)=(1/4z)4

first, add one to each side to eliminate the negative one. you'll get:7= znow, to get rid of the 1/4, multiply both sides by 4.(7x4)=(1/4z)4simplify to get 28=z.

Answer:

7.5

Step-by-step explanation:

multiply like normal math . then add the decimal point after 1 number

The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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Answer:

In a lay term; The z-score gives us information concerning how many percentages of data lie between the given data interval. The z-score gives us an overview of the distance from the mean a data point is. In addition to that, it measures the degree of standard deviations below or above the population mean a raw score. We can place a z-score on a normal distribution curve.

Step-by-step explanation:

Given that:

Height of woman between age 20 -29 are approximately normal with:

population mean = 64.3 inches &;

standard deviation = 2.7

For men:

population mean = 69.9 inches

Standard deviation = 3.1 inches

In a lay term; The z-score gives us information concerning how many percentages of data lie between the given data interval. The z-score gives us an overview of the distance from the mean a data point is. In addition to that, it measures the degree of standard deviations below or above the population mean a raw score. We can place a z-score on a normal distribution curve.

The equation solved for the variable are;

h = S- 2B/p

b = S - hp/2

To determine the equation, we need to know that the subject of formula for  an equation is described as the variable that is made to stand on one end of the equality sign.

It is the variable that is being worked out.

From the information given, we have that;

S= hp + 2B.

To make the height with the variable 'h' the subject, we have;

collect the terms

hp = S - 2B

Divide by the coefficient

h = S- 2B/p

For b, we have;

S - hp = 2b

divide by the coefficient

b = S - hp/2

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Answer:

21 cent per card

Step-by-step explanation:

5.25 / 25 = .21

because 25 can be divided into the first 2 numbers

the Answer is C. 367 meters

Answer: 367 meters

Step-by-step explanation:

]Therefore , the solution of the given problem of deviation comes out to be  the confidence interval contains both positive and negative values.

Statistics uses variance as a gauge of difference. The image of that figure is used to compute the average variance between the collection and the mean. It includes those data points itself into the calculations, unlike many other real measures of variability, by comparing also every figure to the mean.

Here,

Since the population standard deviation is unknown and the sample number is less than 30, we can use a t-distribution to build the confidence interval. The confidence interval's calculation is:

=>CI =  x t /2 × (s/n).

Since we need a 99% confidence range, = 0.01 and /2 = 0.005, and (n-1) = (49-1) = 48 is the number of degrees of freedom.

We discover that t/2 = 2.678 using the t-distribution table with 48 degrees of freedom and 0.005 significance level.

When we enter the numbers, we obtain:

=> CI = 3.1 ± 2.678 * (16.5/√49) = 3.1 ± 7.34

The estimated mean net change in LDL cholesterol following treatment, according to the 99% confidence range, is (4.24, 10.44) mg/dL.

We cannot say with 99% certainty that garlic is effective at lowering cholesterol because the confidence interval contains both positive and negative values.

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The probability of advancing five spaces is 3/13 and the odds against is 13 : 6

The board game

From the question, we have the odds to be

Odds in favour = 3/10

This can be rewritten as

Odds in favour = 3 : 10

For an odd represented as a : b, the probability is

Probability = a/a + b

Using the above as a guide, we have

Probability = 3/13

The box of candies

From the question, we have the probability to be

Probability = 6/19

For a probability represented as a/b, the odds against is

Odds = b - a : a

Using the above as a guide, we have

Odds = 19 - 6: 6

Evaluate

Odds = 13 : 6

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Answer:

The variance of this distribution is 42353.2

Step-by-step explanation:

For each visitor, there are only two possible outcomes. Either they clicked on the button, or they did not. Visitors are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The variance of the binomial distribution is:

\(V(X) = np(1-p)\)

In this question:

226977 visitors, so \(n = 226977\)

56330 clicked, so \(p = \frac{56330}{226977} = 0.2482\)

Then

\(V(X) = 226977*0.2482*(1 - 0.2482) = 42353.2\)

The variance of this distribution is 42353.2

Answer:

\( - \frac{1}{3} \)

Step-by-step explanation:

① Identify 2 points on the line:

➙ (-3, 0) and (0, -1)

Find points that are easy to identify. The 2 points I have identified passes through each square of the graph nicely.

② Find slope using the gradient formula below:

\(\boxed{gradient = \frac{y1 - y2}{x1 - x2} }\)

Thus, slope of line

\( = \frac{0 - ( - 1)}{ - 3 - 0} \\ = \frac{0 + 1}{ - 3} \\ = \frac{1}{ - 3} \\ = - \frac{1}{3} \)

Julio will be 30 years old when his father is twice his age.

To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.

Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.

For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.

Setting up an equation to solve for x:

x + 30 = 2x

Simplifying the equation, we subtract x from both sides:

30 = x

Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.

Therefore, Julio will be 30 years old when his father is twice his age.

Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?

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By using  arithmetic sequence there is subtraction pattern, In all numbers we will subtract -3 then we get our required answer from given eqution -5-3=8.

An arithmetic sequence is an organized set of numbers that have a coarse different between each consective number.

In an arithmetic pattern the arrangements are based on the subtraction of the term if two or more values in the sequence we can use subtraction to find arithmetic missing value in the sequence.

By using this pattern we get

     4-3=1

     1-3=-2

    -2-3=-5

    -5-3=-8

    -8-3=-11

     .

     .

     .

    -53-3=-56

In this pattern I just subtract the number -3 from all given values.We have to got required number.

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