suppose that 17 boys and 22 girls are randomly lined up. what is the probability that the 27th person is a boy?

\(= \ \frac{\beta _{1}}{s\beta _{1} } = t\beta _{1}\)  the t-value for the sample correlation coefficient r compare to the t-value .

What is the slope in math?

The two t values are equal.

\(t_{r} = r \frac{\sqrt{n - 2} }{\sqrt{1 - r^{2} } }\)

    \(= \frac{r * \sqrt{SST / \sqrt{SSR} } }{(\sqrt{1 - r^{2}) * \sqrt{SST} /\sqrt{SSR/(n - 2)} } }\)

     \(= \ \frac{\beta _{1}}{s\beta _{1} } = t\beta _{1}\)

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Answer:

slope = 9 y-intercept = -5/2

Step-by-step explanation:

since slope form is y=mx+b we know that m= slope and b=y-intercept. since 9 is in place of the m that shows that 9 is the slope. since 5/2 is in the b place you would think the y-intercept would be 5/2 but since the equation is - 5/2 instead of + 5/2 it would be + (-5/2) making the y-intercept negative. hope this helped. :)

Answer:

The slope-intercept form of this equation is

y = 2x - 6

Answer:

y = 4x - 12

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Metric System is a decimal system of measurement that is based on the meter, kilogram, and second and is used in most countries around the world. It is also known as the International System of Units (SI).

The Metric System is the most common measuring system used in the world today. It is a decimal system based on the meter, kilogram, and second and is officially known as the International System of Units (SI). This system was initially developed in France in the late 18th century and is now used in most countries around the world. The Metric System is based on powers of 10 and each unit is related to the next unit by a factor of 10. For example, a kilometer is equal to 1000 meters, a milliliter is equal to 0.001 liters, and a centimeter is equal to 0.01 meters. The Metric System is used to measure length, area, mass, weight, temperature, and volume. It is used in many different industries and applications including science, engineering, medicine, and agriculture. The Metric System has become the international standard for scientific measurements and is accepted by most countries as the preferred system of measurement. The Metric System is also easier for students to learn and use than other systems of measurement.

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Answer:

i dunno

Step-by-step explanation:

After using the unitary method we will get, Required number of boxes is 9

What is unitary method?

The unitary method, in its most basic form, is used to calculate the value of a single unit from the a given multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary method can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is primarily applied using this method. The unitary method involves first determining the value of a single unit, followed by the value of the necessary number of units.

Here, one box contains 46 programs.

Number of box required for 383 programs = \(\frac{383}{46} = 8.326\)

Number of box cannot be in decimal.

So, required number of boxes = 9

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The equation that best fits the data is, y = -8.34x1^2 + 18.5ln(x1) + 5.34.

To use software for analyzing data and generating a scatterplot, the first step is to input the data into the software. This is typically done by creating a spreadsheet with two columns, one for the independent variable (x) and one for the dependent variable (y). After inputting the data, the software can then generate a scatterplot. Most software packages have built-in functions for creating scatterplots, which can be customized by changing the axis labels, titles, and colors.

Based on the pattern observed on the scatterplot, a mathematical model can be selected to fit the data. Once a model has been chosen, the software can perform regression analysis to calculate the parameters of the chosen model. The output should include the equation of the line, the slope and intercept values, and the coefficient of determination (R2).

To evaluate the goodness of fit, the R2 value can be used. Higher R2 values indicate a better fit between the model and the data. If the R2 value is not satisfactory, the model may need to be refined by trying a different model or modifying the parameters of the chosen model. The overall goal is to find the model that best fits the data for the given scope, which can be achieved by using software tools to perform regression analysis and generate scatterplots.

Using a calculator or computer, we can obtain the regression equations for the various models and calculate their R-squared values:

Linear model: y = -4.87 + 7.55x1, R^2 = 0.3755

Quadratic model: y = -8.34x1^2 + 18.5ln(x1) + 5.34, R^2 = 0.9295

Logarithmic model: y = 1.07 + 6.89ln(x1), R^2 = 0.9041

Exponential model: y = -3.14 + 6.59x1, R^2 = 0.8672

Power model: y = 0.6214x1^1.0969, R^2 = 0.9087

Based on the R-squared values, we can see that the quadratic model has the highest value of 0.9295, indicating that it best fits the data. Therefore, the equation that best fits the data is,

y = -8.34x1^2 + 18.5ln(x1) + 5.34

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Answer:

(-8,2)

Step-by-step explanation:The y-value does not change, only the x-value becomes positive.

Answer:

11/4800

Step-by-step explanation:

Answer:

It is either 7.62m or 10m

Step-by-step explanation:

Eduphoria

Answer:

7.62 m

Step-by-step explanation:

Pythagorean theorem, 3^2+7^2=58

√58 is 7.62

New Ratio = 19:21

This deals with ratios, fractions and basic arithmetics'.

Thus, the total part for each of them will be;

Zoe; 3/10

Yolansa; 7/10

Zoe; 3x/10

Yolansa; 7x/10

\(\frac{7x}{10}\) - \(\frac{3x}{10}\) = 64

Simplifying this gives;

\(\frac{4x}{10}\) = 64

Rearranging gives;

4x = 640

x = 640/4

x = $160

Thus, originally;

Yolanda has \(\frac{7}{10}\) × 160 = $112

Zoe has \(\frac{3}{10}\) × 160 = $48

Yolanda now gives \(\frac{1}{4}\) of her money to Zoe.

Thus, she gives out \(\frac{1}{4}\) × 112 = $28

Thus,

Zoe now has; 48 + 28 = $76

Yolanda now has; 112 - 28 = $84

76:84

Simplifying this ratio gives;

19:21

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We are required to find the new ratio of zoes money to yolanda

the new ratio of zoes money to yolanda is 19:21

Ratio of zoes money to Yolanda's = 3:7.

Zoes = 3

Yolanda = 7

Total ratio = 3 + 7 = 10

let

x = Total money

Zoes = 3/10

Thus, the total part for each of them will be;

Zoe= 3/10x

Yolanda = 7/10x

Yolanda has $64 more than Zoe.

Therefore,

7/10x - 3/10x = 64

(7x - 3x) / 10 = 64

4x/10 = 64

cross product

4x = 64 × 10

4x = 640

divide both sides by 4

x = 640/4

x = $160

Original share:

Zoe = 3/10x

= 3/10 × 160

= 0.3 × 160

= $48

Yolanda = 7/10x

= 7/10 × 160

= 0.7 × 160

= $112

If Yolanda gives 1/4 to zoe

= 1/4 of 112

= 1/4 × 112

= 0.25 × 112

= $28

New Zoe's share = $48 + $28

= $76

New Yolanda's share = $112 - $28

= $84

Their new ratio = 76 : 84

divide by 4

= 19 : 21

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Answer:

106.68

Step-by-step explanation:

You have to multiply   the es inches by 2.54

Answer:

Its 0.4 meters!

Step-by-step explanation:

Answer:

B = $5.40

Hope this helps!

Step-by-step explanation:

Step-by-step explanation:

Given the formula below

Answer:

I think the answer is B but i am not sure

Step-by-step explanation:

The probability that a class of 36 has an average midterm mark that is more than 77.83 is 0.0766. This is because the mean of the normally distributed marks is 78 and the standard deviation is 6. Using the standard normal distribution formula, we can calculate the probability that the average mark of 36 students is more than 77.83.

Standard Normal Distribution Formula: P(x > a) = 1 - P(x < a)

P(x > 77.83) = 1 - P(x < 77.83)

P(x > 77.83) = 1 - 0.9234

P(x > 77.83) = 0.0766

The Average Speed of the runner is 6.25 meters per second when the  runner ran 3000 m in exactly 8 minutes.

Average speed combines the concepts of speed and average, which refers to a mean calculated from several different data points.

If the motion can be timed and the distance measured, you can determine the average speed for any kind of motion.

calculation

The distance traveled (\(s\)), in meters, divided by the time (\(t\)), in seconds, gives the runner's average speed (\(v\)), in meters per second. We make all necessary substitutions before computing the outcome. Remember that one minute is equal to 60 seconds.

The average running speed of the runner is: if we know that  s = 3000 m and t = 480 s .

v = s / t

v = 3000 / 480

v = 6.25 m / s

Running at a pace of 6.25 meters per second on average.

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Answer:

What about it? which comes first? if that's what you mean then think about PEMDAS first ( ) then exponents them multiplication then division then addition then subtraction

The trapezoidal rule uses trapezoidal approximations to approximate the definite integral, whereas the midpoint rule uses rectangular regions to do so. By first approximating the original function with piecewise quadratic functions, Simpson's rule approximates the definite integral.

Since

"frac" (1-x) = (1-x)-1 = 1+x2+x3+x4+.... = "sum_n=0" infty" xn "hspace"

5mm for "left | x | 1"

How can a power-based integral be evaluated?

Power Rule for Integrals To apply this rule, simply add one to the exponent.The expression is then divided by the same number.The constant C is added in the final step. Now, we will solve some problems to determine the integrals of polynomials and root functions.

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The statement "Mr. C's visual acuity is 20/50. This means that he can see 20% of the letters on the chart's 20/50 line" is incorrect. The correct interpretation of Mr. C's visual acuity is: he can read letters while standing 20 feet from the chart that the average person could read at standing 50 feet from the chart.

This means that Mr. C's vision is worse than average as he needs to be closer to the chart to read the same letters that an average person can read from a farther distance. Here's a breakdown of what 20/50 means: The top number (20) represents the distance between the eye being tested and the eye chart. In this case, it is 20 feet. The bottom number (50) represents the distance at which a person with normal vision can read the same line on the chart from the same distance as the person being tested.

In this case, an average person can read the 20/50 line from 50 feet away. Therefore, Mr. C's vision is not perfect at 50 feet. He can only see half of what an average person can see at 20 feet. The difference of cubes can be factored as a product of a binomial and trinomial such that the difference of cubes will have a binomial difference, multiplied by a trinomial where the first term is the cube root of the first term, the second term is the product of the square of the cube root of the first term and the cube root of the second term, and the third term is the cube root of the square of the second term.

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Answer:

Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?

Step-by-step explanation:

The type of triangle that Kevin drew based on the information is a scalene triangle.

A scalene triangle is a triangle with different lengths for each of its three sides and different measures for each of its three angles. A scalene triangle's angles adhere to the angle sum property and always add up to 180 degrees.

A scalene triangle has three sides, each of which is measured differently. Each of a triangle's three interior angles has a different measurement. Scalene triangles don't have a symmetry line.

In this case, the sides are all different as illustrated in Kevin's case.

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Answer:

Answer:

7.6-5.2n

Step-by-step explanation:

combine like terms so -3.2n-2n = -5.2n

2.6+5=7.6

7.6-5.2n

Answer:

-5.2n + 7.6

Explanation:

2.6 - 3.2n - 2n + 5

= 2.6 - 5.2n + 5

= -5.2n + 7.6

- PNW

Answer:

x=5-y

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

let x = percent savings

$3/lb (cost per lb of a 1 lb pack)

$24/10lb = $2.40/lb (cost per lb for a 10 lb pack)

$3 - $3x = $2.40

-3x = -0.60

x = -0.60/3 = 0.20

0.20 x 100 = 20%