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Answer:

Red is sus

Step-by-step explanation:

Answer: naah i think brown is sus he faked electrical vote him out

Step-by-step explanation:

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Step-by-step explanation:

5-3a-1+2a

5-1-3a+2a

4-1a

The fraction of the furniture sold that are tables is given by 1/2y / (1/3x + 1/3y)

Let

Number of tables and chairs sold = 1/2(x + y)

= 1/2x + 1/2y

Furniture remaining = 1/3(x + y)

Fraction of tables sold = 1/2y ÷ 1/3(x + y)

= 1/2y ÷ 1/3x + 1/3y

= 1/2y × 1 / (1/3x + 1/3y)

= 1/2y / (1/3x + 1/3y)

Therefore, the fraction of the furniture sold that are tables is given by 1/2y / (1/3x + 1/3y)

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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:

62

Step-by-step explanation:

Notice that angles <a and that labeled 62 degrees are corresponding angles between parallel lines, and therefore, must be congruent.

Therefore:

<a = 62 degrees.

Answer:

SA = 434 ft^2

Step-by-step explanation:

We are going to exclude the floor since we are assuming he won't paint the floor. The shed has 5 sides since we aren't going to consider the floor.

length - L

width - W

height - H

surface area - SA

H = 8 ft

L = 14 ft

W = 7 ft

To calculate the area of each side or surface of the shed,

since there are two sides/ surfaces with the same are except for the roof, we will multiply the areas by 2.

Surface area:

SA = 2 × (W×H + L×H) + L×W

SA = 2 × (7×8 + 14×8) + 14×7

SA = 434 ft^2

The question is incomplete. The complete question is :

The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile and c is measured in miles. What are the units of \($\int_0^7 r(c) \ dc$\)   ?

Solution :

The given continuous function is :

r(c), here c is measured in miles and the unit of r is measured in gallons per mile.

So the unit of  \($\int_0^7 r(c) \ dc$\) is given by :

= gallons per mile x mile

= gallons

So, the final unit is gallons.

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

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

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

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Yes , we can drag fields from the field list to an area box in the pivot table fields pane in order to create a pivot table. Hence , true.

The four sections of the pivot table

are located at the bottom of the PivotTable Field List window.

The fields will appear in the corresponding region of the worksheet's pivot table layout when you drag them into these locations.

Only the fields included in the PivotTable Field List can be moved in Excel 2007. If you try to drag the Promo field onto the pivot table in the screen photo below, the cursor displays an X. The drag-and-drop function is broken.

You can alter a setting in the pivot table options if you'd like to drag the pivot fields onto the worksheet layout.

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The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

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The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

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

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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Answer:

To solve 2^x = 32, we need to find the value of x that satisfies the equation.

We can rewrite 32 as a power of 2 by noting that 2^5 = 32. Therefore, we have:

2^x = 2^5

Since the bases of the powers are equal, we can equate the exponents:

x = 5

So the solution to 2^x = 32 is x = 5.

To rewrite this equation in a logarithmic form, we can use the definition of logarithms:

log(base 2)32 = x

Here, the logarithm with base 2 of 32 is equal to x.

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To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

Step-by-step explanation:

9 tins of cat food feed her 2 cats for 18 days

Step-by-step explanation:

Sally has 2 cats

food eaten by 1 cat each day =

food eaten by 2 cat each day=  tins

sally buys 9 tins of cat food

then

tins  required in = 1 day

1 tin required in

i.e  1 tin required in  2 days

9 tin  required  for = 9×2 = 18 days

hence ,  9 tins of cat food feed her 2 cats for 18 days

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Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?

Given the value of the standard deviation of  population, if the critical value is 0.65, the Margin of error will be 0.65.

Margin of error simply shows how many percentage points a results will differ from the real population value.

It can be expressed as;

Margin of error = Critical value × Standard deviation

Given that;

Margin of error = Critical value × Standard deviation

Lets take critical value to be 0.05

Hence,

Margin of error = 0.05 × 13

Margin of error = 0.65

Therefore, given the value of the standard deviation of  population, if the critical value is 0.65, the Margin of error will be 0.65.

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The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

Answer:

x = -1, y = -5

Step-by-step explanation:

x + y = -6

2x - y = 3​

Add the two equations together to eliminate y

x + y = -6

2x - y = 3​

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

3x =  -3

Divide by 3

3x/3 = -3/3

x = -1

Now find y

x+y = -6

-1+y = -6

Add 1 to each side

-1+1 +y = -6+1

y = -5

Answer:

2 =6

3= 9

4=12

5=15

Step-by-step explanation:

Formula is 3x

2 x 3= 6

3 x 3=9

4 x 3= 12

15/3= 5

Answer:

The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.

Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.

We can use this information to set up the following equation:

0.08 = (1/2)^n

where n is the number of half-lives that have elapsed. We want to solve for n.

Taking the logarithm of both sides, we get:

log(0.08) = n*log(1/2)

Solving for n, we get:

n = log(0.08) / log(1/2) = 3.42

So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:

Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)

Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.

Yes, the cubic power of an odd integer is odd. So, the following conjecture are

a) False ; 7³ = 342 --> True

b) False ; 9³ = 728 -->True

c) False; 5³ = 126 --> True

We have, some conjecture related to the cubic power of an odd integer is odd.

Odd number : In mathematics, an integer is even if it is a multiple of two, and odd if it is not. Let us consider 2n be a even numbers then , 2n+ 1 must be an odd number.

taking cube power of 2n+ 1 we get,

(2n + 1)³ = (2n)³ + 1³ + 3×2n×1( 2n + 1)

[ Since, (a + b)³ = a³ + b³ + 3ab(a+b), here a = 2n and b = 1]

So, (2n + 1)³= 8n³+ 1 + 6n( 2n + 1)

= 8n³+ 1 + 12n² + 6n = 2n(4n² + 3n + 3) + 1

As we see clearly, first factor is multiple of 2n that is it's even number then (even number + 1 ) implies to an odd number. Thus, the cube power of odd number is again an odd number, i.e 3³ = 27 ; 5³ = 125 ......

a) False ; 7³ = 342 , it is true

b) False ; 9³ = 728 , it is true

c) False; 5³ = 126 , it is also true

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Answer:

7>3

Step-by-step explanation:

7 is alot bigger than 3. it is approximately 2 times bigger so we will use this (>) to show the difference between seven and three.

The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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The image of A about O after 90 degrees rotation is C

Rotation refers to the movement of an object around an axis or center point.

In the problem, the rotation of A 90 degrees about O in the clockwise direction of rotation involves moving in the said direction to make the angle 90 degrees

In an octagon, each angle in the center is solved by

= 360 / 8

= 45

Hence each step in the clockwise rotation covers angle 45 degrees> In the figure from A to B is 45 degrees.

Moving from A to C in clockwise direction is equal to 90 degrees

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Answer: D) how close a measured value is to the actual value.

Step-by-step explanation: Accuracy is simply a measurement metric which is used to establish how a measured or predicted value conforms to the actual measurement usually in terms of closeness. Accuracy is different from precision which measures closeness in values obtained from repeated measurement of the same sample. For instance;

If the actual vale of a measurement is : 11.34

Prediction 1 : 11.30

Prediction 2 : 11.32 ;

Prediction 2 will be said to be more accurate than prediction 1 becuase it is closer to the actual value than prediction 1.

Answer:

0.05

Explanation:

The first number after the decimal point is called tenths and the second number after the decimal point is the hundredths. So, if we have five hundredths, we have a 5 located in the second place after the decimal point.

Therefore, five-hundredths in a standard form are: 0.05