8. What is the slope of the line that goes through (8,8) and (4, 6)?
-1/2
1/2
-2
2

Comparing the percentages we see that Marco listened to his albums more than Tucker.

A fraction is a number that represents a portion of a whole and is stated as a ratio of two integers, where the denominator is the overall number of equal parts and the numerator is the number of parts. A percentage is a figure that is stated as a fraction of 100 and denotes a portion of a whole. You multiply by 100 to convert a fraction to a percentage. You divide a percentage by 100 and simplify it to get a fraction.

Given that, Tucker listened to 3/8 of his albums.

Converting into percentage we have:

3/8 = 0.375 = 37.5%

For Marco he listened to 39% of his albums.

Thus, comparing the percentages we see that Marco listened to his albums more than Tucker.

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Answer:−

-9−27x

Step-by-step explanation:

When k is o doesn't satisfy the equation.

Value of \($\mathrm{k}=(?)$\), equation \($\mathrm{kx}(\mathrm{x}-2)+6=0$\) has equal roots.

\(& \Rightarrow \mathrm{kx}(\mathrm{x}-2)+6=0 \\\)

\(& \mathrm{kx} x^2-2 \mathrm{kx}+6=0 \\\)

two roots of quadratic equation

\(& \alpha, \beta= \frac{-\mathrm{b} \pm \sqrt{\mathrm{b}^2-4 \mathrm{ac}}}{2 \mathrm{a}} \\\)

\(& \alpha, \beta= \frac{+2 \mathrm{k} \pm \sqrt{(-2 \mathrm{k})^2-4 \times 6 \times \mathrm{k}}}{2 \times \mathrm{k}} \\\)

\(& \alpha, \beta=2 \mathrm{k} \frac{\pm \sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}} \\\)

\(\alpha=\beta \\\) The roots are qual

\(& \Rightarrow \frac{2 \mathrm{k}+\sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}}=\frac{2 \mathrm{k}-\sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}} \\\)

\(& \Rightarrow 2 \sqrt{4 \mathrm{k}^2-24 \mathrm{k}}=0 \\\)

\(& \Rightarrow 4 \mathrm{k}^2-24 \mathrm{k}=0 \\\)

\(& \Rightarrow 4 \mathrm{k}(\mathrm{k}-6)=0 \\\)

\(& \Rightarrow \mathrm{k}=0 \text { or } \mathrm{k}=6\)

\($\Rightarrow \mathrm{k}=6[\because \mathrm{k} \equiv 0]$\) as\($\mathrm{k}=0$\)  doesn't satisfy the equation.

The complete question is,

For what value of \($\mathrm{k}$\), are the roots of the quadratic equation, \($\mathrm{kx}(\mathrm{x}-2)+6=0$\) equal?

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The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

8 batches

Step-by-step explanation:

A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?

From the above question, 1 recipe = 1 batch of cookies

Hence:

2/3 cup of sugar = 1 batch of cookies

5 1/3 cups of sugar = x batches of cookies

Cross Multiply

2/3 cup × x batches = 5 1/3 cup × 1 batch

x batches = 5 1/3 cup × 1 batch/2/3 cup

x batches = 16/3 ÷ 2/3

x batches = 16/3 × 3/2

= 8 batches

Therefore she made 8 batches

Answer:

B

Step-by-step explanation:

44/77

=0.55

Answer:

AB=13

Step-by-step explanation:

1/2AC^2+1/2BD^2=AB^2

AB=13

Answer: Option B

Step-by-step explanation:

By definition, the ratio is a comparison between two different things. It can be written in:

Odd notation

\(a:b\)

Fractional notation

\(\frac{a}{b}\)

Or in words:

\(a\) \(to\) \(b\)

Given the ratio 3 to 4 and the ratio of 4 to 3, you can rewrite them the fractional form:

\(\frac{3}{4}\)

\(\frac{4}{3}\)

To know if these ratios are the same number, divide the numerator by the denominator of each one of them:

\(\frac{3}{4}=0.75\)

\(\frac{4}{3} =1.33\)

Therefore, the ratio of 3 to 4 and the ratio of 4 to 3 ARE NOT the same number.

A 95% confidence interval is wider than a 90% confidence interval and so provides a better estimate of the population mean.

A confidence interval represents the range of values within which the population mean is estimated to lie with a certain degree of confidence. The wider the interval, the more certain we can be that the population mean lies within it. In other words, a 95% confidence interval provides a better estimate of the population mean than a 90% interval because it is wider and therefore more likely to contain the true population mean.

This increased accuracy is particularly important for the city in their budget planning as it allows them to make more informed decisions based on a more reliable estimate of their expected daily income from parking fees.

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Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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Answer:

40 in.^2

Step-by-step explanation:

Let's name the 2 shaded triangles: The left one is T1 and the right one is T2.

The area of a right triangle can be found using the equation (a*b)/2.


The 2 legs of T1 are 8 in. and 6 in. (from 10 - 4)
Area of T1 = \(\frac{8 * 6}{2}\) = 24 in.^2

The 2 legs of T2 are 8 in. and 4 in.
Area of T2 = \(\frac{8 * 4}{2}\) = 16 in.^2

Area of shaded region = 16 + 24 = 40 in.^2

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

The external angle at V is half the difference of the subtended arcs:

  (65° -25°)/2 = x° = 40°/2

  x = 20

a. The study included a total of 323 subjects.

b. Out of these subjects, 175 did not use marijuana.

c. The probability of randomly selecting a subject who did not use marijuana is 0.541.

Let's denote the following:

TP = True Positive (number of subjects with positive test results who used marijuana)

FP = False Positive (number of subjects with positive test results who did not use marijuana)

TN = True Negative (number of subjects with negative test results who did not use marijuana)

FN = False Negative (number of subjects with negative test results who used marijuana)

Using the information provided:

TP = 143 (subjects with positive test results)

FP = 21 (false positive results)

TN = 154 (subjects with negative test results)

FN = 5 (false negative results)

                  Used Marijuana (Marijuana+)    Did Not Use Marijuana

Tested +                      TP                                              FP

Tested -                       FN                                             TN

a. The total number of subjects in the study:

To find the total number of subjects, we sum up all the cells in the table:

Total subjects = TP + FP + FN + TN

= 143 + 21 + 5 + 154

= 323

Therefore, there were 323 subjects included in the study.

b. The number of subjects who did not use marijuana:

Subjects who did not use marijuana = TN + FP

= 154 + 21

= 175

Therefore, 175 subjects did not use marijuana.

c. The probability that a randomly selected subject did not use marijuana:

Probability of not using marijuana = Subjects who did not use marijuana / Total subjects

= 175 / 323

= 0.541

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The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.

Here is the procedure for the Michelson-Morley experiment:

1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.

2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.

3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.

4. Rotate the entire apparatus by 90 degrees and repeat the measurement.

5. Compare the interference patterns from the two orientations.

If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.

However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.

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Answer:

Below.

Step-by-step explanation:

19.3 + n  = 30.4

Answer: B (they are correct)

Step-by-step explanation:

Edge 2020

The test statistic is approximately -2.06 and the associated p-value ≈ 0.125.

To carry out the hypothesis test for the given data set, we can perform a t-test for the slope of the regression line.

The null hypothesis (H₀) states that the slope (B₁) is equal to 1, and the alternative hypothesis (H₁) states that the slope is not equal to 1.

The test statistic (t-statistic) can be calculated as follows:

t = (B₁ - hypothesized value) / (standard error of B₁)

In this case, the hypothesized value is 1. We can use the formula:

B₁ = Σ((x - xbar)(y - ybar)) / Σ((x - xbar)²)

First, calculate the sample means for x and y:

xbar = (−1 + 2 + 4 + 9 + 11) / 5 = 5

ybar = (1 + 1 + 6 + 7 + 8) / 5 = 4.6

Next, calculate the sums needed for the formula:

Σ((x - xbar)(y - ybar)) = (−1 − 5)(1 − 4.6) + (2 − 5)(1 − 4.6) + (4 − 5)(6 − 4.6) + (9 − 5)(7 − 4.6) + (11 − 5)(8 − 4.6) = −20.8

Σ((x - xbar)²) = (−1 − 5)² + (2 − 5)² + (4 − 5)² + (9 − 5)² + (11 − 5)² = 68

Now, calculate the slope:

B₁ = Σ((x - xbar)(y - ybar)) / Σ((x - xbar)²) = −20.8 / 68 ≈ −0.306

To calculate the standard error of B₁, we need to calculate the residual sum of squares (SSres) and the degrees of freedom (df):

SSres = Σ(y - ŷ)²

ŷ = B₀ + B₁x (estimated regression line)

Using the formulas for the estimated regression line:

B₀ = ybar - B₁xbar = 4.6 - (-0.306)(5) ≈ 6.53

Now, calculate ŷ for each data point and SSres:

ŷ₁ = 6.53 + (-0.306)(-1) ≈ 6.84

ŷ₂ = 6.53 + (-0.306)(2) ≈ 6.21

ŷ₃ = 6.53 + (-0.306)(4) ≈ 5.59

ŷ₄ = 6.53 + (-0.306)(9) ≈ 3.94

ŷ₅ = 6.53 + (-0.306)(11) ≈ 3.33

SSres = (1 - 6.84)² + (1 - 6.21)² + (6 - 5.59)² + (7 - 3.94)² + (8 - 3.33)² ≈ 72.41

df = n - 2 = 5 - 2 = 3

Next, calculate the standard error of B₁:

Standard Error of B₁ = √(SSres / Σ((x - xbar)²)) / √df = √(72.

41 / 68) / √3 ≈ 0.496

Finally, calculate the test statistic:

t = (B₁ - hypothesized value) / (standard error of B₁) = (-0.306 - 1) / 0.496 ≈ -2.06

To determine the p-value associated with the test statistic, we can consult the t-distribution table or use statistical software.

For a two-sided test with a t-distribution with 3 degrees of freedom, the p-value is approximately 0.125.

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Answer:

22

Step-by-step explanation:

Use a proportion.

30/15 = 44/x

30x = 15 × 44

2x = 44

x = 22

Answer:

22

Step-by-step explanation:

30 miles/ 15 sessions of tract practice

Per practice Jack is running a total of 2 miles.

So 44 miles/2 miles

22 sessions of track practice

Answer:

He rides 9 miles a day

Step-by-step explanation:

72(miles) divided by 8(days) would equal 9 miles per day.

The derivative of f(x) = cos x - 7 tan x is f'(x) = -sin x - 7 sec^2 x.

To find the derivative of f(x), we need to differentiate each term of the function with respect to x, using the differentiation rules

f(x) = cos x - 7 tan x

f'(x) = d/dx (cos x) - d/dx (7 tan x)

The chain rule is a fundamental rule of calculus that enables us to find the derivative of a composition of functions.

Using the chain rule, we can differentiate each term separately:

d/dx (cos x) = -sin x

d/dx (7 tan x) = 7 sec^2 x

Therefore

f'(x) = -sin x - 7 sec^2 x

So the derivative of f(x) is:

f'(x) = -sin x - 7 sec^2 x.

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Answer:

b

I don't know what the steps are

The overlapping events when rolling a single six-sided die are (a) "getting an even number" and "getting a number less than 5."

The overlapping event occurs in option (a), where getting an even number and getting a number less than 5 have some numbers in common. The numbers 2 and 4 are both even and less than 5. Hence, these two events overlap. The other options do not overlap because getting a prime number, getting a number greater than 5, and getting a 2 do not have any numbers in common. The overlapping events when rolling a single six-sided die are (a) "getting an even number" and "getting a number less than 5."

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The purpose of knowing the angle of elevation and depression in relation to the field of surveyor, military/police, aeronautics (pilot), engineers, landscapers, and architects is discussed below

If a person stands and looks up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. If a person stands and looks down at an object, the angle of depression is the angle between the horizontal line of sight and the object.

If the pilot looks straight out, that line of sight is horizontal (focused on the distant horizon). The pilot might see the airport's runway, distant buildings, or even mountains in her field of view.

If the pilot looks down at the ground, the one will see the ground crew. The angle of depression is the angle that is formed between the horizontal and the downward looking angle. It is always a downward view, an angle below the horizon.

For the ground crewmember, looking down would not be much help in communicating with the pilot in her cockpit seat. The crewmember will look up, above the horizontal line, to see the pilot. The ground crewmember's angle of vision if an angle of elevation, the angle above the horizon.

Angle of elevation or depression in a survey can be defined as the angle subtended between the line of sight passing through the scope and the horizontal axis of the instrument.

Engineers, landscapers, architects all use trigonometry in their everyday life to help them efficiently and safely create or design something new.

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Answer:

2 hours and 30 minutes.

Step-by-step explanation:

First you must add $50 and $75. Then add two $75, to get $200. Then, Multiply $1.25 by 30.

Hope this helps :)

(If it did please make this brainliest.)

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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Answer:

Step-by-step explanation:

Answer:

17 w  +  35

Step-by-step explanation:

You get this answer by using PEMDAS.