Can you answer both and tell me the answer please

Answer:

The Empirical Rule says that:

outliers are within three standard deviations of the mean.

Step-by-step explanation:

An outlier is an observed data value which lies some abnormal distance from other values in a population's random sample.  The cut-off for an outlier is three standard deviations from the mean in a normal distribution.  Therefore, the Empirical Rule concludes that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean.  In summary, the empirical rule concludes that 68% of the data falls within one standard deviation, 95% percent falls within two standard deviations, while 99.7% falls within three standard deviations from the mean.

The most appropriate choice for simple interest will be given by-'

Amount of money Josh have at the end of 5 years = $330

Fourth option is correct

What is simple interest?

Simple interest ( SI) is the interest earned on a certain principal at a certain rate over a certain period of time,

If P is the principal, rate is r %, time is t years,

SI = \(\frac{p \times r \times t}{100}\)

Adding Principal and simple interest will give the amount

Here,

Principal deposited by Josh= $300

Rate of interest = 2%

Time = 5 years

Simple interest = \(\frac{300 \times 2 \times 5}{100}\\\)

                         = $30

Amount of money Josh have at the end of 5 years = $(300 + 30)

                                                                                     = $330

Fourth option is correct

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A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

The complete question is:

Which of the following composition of transformations would create an

image that is not congruent to its original image?

A rotation of 45° followed by a reflection across the x-axis

A translation 2 units to the left followed by dilation by 1/2

A reflection across the y-axis followed by a rotation of 60°

A rotation of 135º followed by a translation of 4 units to the right.

After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.

All other options are reflection and rotation, which not fit into the situation.

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Answer: Choice D)

Determine the percentage of values occurring above and below that value

==========================================================

Explanation:

Let's go through the answer choices

Answer:

D

Step-by-step explanation:

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Answer: The answer is C

Step-by-step explanation: so yeah

Slope Formula (Between 2 points)

\( \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }\)

Let these be the following:

\( \displaystyle \large{(x_1,y_1 )= (8, - 5)} \\ \displaystyle \large{(x_2,y_2 )= (8 ,- 2)} \)

Substitute these points in.

\( \displaystyle \large{m = \frac{ - 2 - ( - 5)}{8 - 8} } \\ \displaystyle \large{m = \frac{ - 2 + 5}{0} }\)

Since the denominator is 0. The slope is undefined. However, we can still find the equation of a line but not in y-isolated form.

Since for all y-values give same x-values. This means that the line will always pass at (8,y) where y is set of real numbers.

The line has to be vertical since a x-value can export many y-values.

Hence, the equation of a line would be x = 8

The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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Answer:

12

Step-by-step explanation:

20% is 20/100 = 0.2

60% is 60/100 = 0.6

So 20% of 60%= 0.2*0.6=0.12

0.12 in % = 0.12*100 = 12%

Yes i know… Math sucks

Anyways have a great day and if its correct please give brainliest

Stay Safe And Healthy

Thank you

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Answer:

I think the solution is x=84 if this is correct can u mark me brainliest

Answer:

Step-by-step explanation:

This problem can be solved by using the logarithm function.

Isolate the term of x from one side of the equation.

First, you divide by -6 from both sides.

\(\Longrightarrow: \sf{\dfrac{-6\log _3(x-3)}{-6}=\dfrac{-24}{-6}}\)

Solve.

Divide the numbers from left to right.

-24/-6=4

Rewrite the problem down.

\(\Longrightarrow: \sf{\log _3(x-3)=4}\)

x-3=81

Add by 3 from both sides.

\(\Longrightarrow:\sf{x-3+3=81+3}\)

Solve.

Add the numbers from left to right.

81+3=84

\(\Longrightarrow: \boxed{\sf{x=84}}\)

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

3.7644133+13 is the answer

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.

Descriptive statistics were used in the statement.

Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).

In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.

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Descriptive statistics were used in the statement.

Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.

Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.

Hence, Descriptive statistics were used in the statement.

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Answer:

6170

Step-by-step explanation:

6.17*1000

Answer:

617.

Step-by-step explanation:

6.17 * 10^3

= 617     ( 3 digits long).

the answer is d. -5n - 6 :)

The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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Therefore , the solution of the given problem of equation comes out to be y = (3 - √21) / 2

A straightforward regression curve is created using the equation y= mx+b. The y-intercept is m, and the slope is B. The phrase "math equation combining numerous variables" is sometimes used to describe the prior line even though it represents distinct components. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b.

Here,

Starting with the given equation:

1 - 2y/3 - y + 2y = 1/y + 2

Simplifying the left side:

1 - y/3 = 1/y + 2

Multiplying both sides by 3y:

3y - y² = 3 + 6y

Bringing all terms to one side:

y² + 3y - 3 - 6y = 0

Simplifying:

y² - 3y - 3 = 0

Using the quadratic formula:

y = (3 ± √21) / 2

Therefore, the solutions for y are:

y = (3 + √21) / 2

or

y = (3 - √21) / 2

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The ratio of the areas of the two circles equals the square of the ratio of their radii:  = 1/4

Let O1 be the center of the larger circle and O2 be the center of the smaller circle. T is the tangent point between the two circles.

The distance between their centers, O1O2, is equal to the sum of their radii, i.e., r1 + r2.

The Pythagorean theorem gives us:

(O1O2)^2 = r1^2 + r2^2

By substituting r1, r2, and O1O2 values, we obtain:

(r1 + r2)^2 = r1^2 + r2^2

By broadening and simplifying, we get:

2r1r2 = r2^2

When both sides are divided by r22, we get:

2r1/r2 = 1

So, r1/r2 = 1/2. r2 = 2r1.

The ratio of the areas of the two circles equals the square of the ratio of their radii:

A1/A2 = (r1/r2)^2 = 1/4

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The scatter plot shows a [positive linear] association.

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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Answer:

10

Step-by-step explanation:

if you multiply 14 by 2 you get 28, therefore you have to multiply the numerator by 2 also, which gives you 10

Answer:

10/28

Step-by-step explanation:

5/14 = x/28

See that 28 is 14*2

So multiply 14*2 to get 28, and 5 * 2 to get 10

5 / 14 * 2/2 = 10 / 28

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

r=  (10.55−6.20s)

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

         1.25

​  

Step-by-step explanation:

Using the principle of subject of formula, we make number of pounds of rice, r the subject of the given equation. Hence, the equation would be r = (10.55 - 6.20s)/1.25

Given the expression :

6.20s + 1.25r = 10.55

Isolate 1.25r

1.25r = 10.55 - 6.20s

Divide both sides by 1.25 to isolate r

r = (10.55 - 6.20s)/1.25

Therefore, the required expression would be

r = (10.55 - 6.20s)/1.25

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After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted  measurement regarding the distance around the outside of a two-dimensional shape. In this system  the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

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The perimeter of the polygon, with the specified coordinate points , found using Pythagorean Theorem  iis  approximately 16 units

The Pythagorean Theorem indicates that the square of the distance between points on the coordinate plans is the sum of the square of the horizontal and vertical distances between the  point.

The coordinates of the vertices of the polygon are;

(-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1)

The length of the sides are therefore;

3 - 1 = 2,

√((-1 - (-3))² + (5 - 3)²) = 2·√2

√((2 - (-1))² + (4 - 5)²) = √(10)

4 - 1 = 3

2 - (-3) = 5

The perimeter is therefore;

2 + 2·√2 +  √(10) + 3 + 5  ≈ 16

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Answer:

64

Step-by-step explanation:

This distribution of snowfall amounts is skewed to the right

Data is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.

In a positively skewed distribution majority of the data is concentrated towards the lower values.

Considering the stemplot the majority of the data is in the lower values

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Answer:

to the second part

18.7 inches