three-fourths of the sum of six times a number and twelve distribute

The relative frequency with which the coin will land on tails 12 of those times willl be 48%. None of the given options are correct.

Assume you need to compute the joint relative frequency of a certain category inside a larger category. Then there's the proportion of that specific category's frequency to the total frequency of that large category.

If the experiment is run 25 times and we receive tails 12 times, the relative frequency of receiving tails is as follows:

\(\rm R = \frac{12}{25} \times 100 \\\\ R = 48 \%\)

Hence, the relative frequency for the given condition will be 48%.

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Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

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Answer:

We have observed from the exponents​ is described below in detail.

Step-by-step explanation:

Exponents can be a negative whole number, positive whole number, negative fraction, and positive fraction.

The zero exponent command is one of the commands that will support you clarify exponents... and it is a measure describing the power to which a given quantity or appearance to be proposed symbol alongside the quantity or appearance EXAMPLE: 2³=2x2x2

Quartic equations are equations that have an highest exponent of 4

The table entries are given as:

Year 2001 2002 2003 2004 2006 2007

Cars 705 1716 2803 3515 2742 1081

Represent the table as:

Year 1       2       3      4       6         7

Cars 705 1716 2803 3515 2742 1081

A quartic equation is represented as:

\(y = ax^4 + bx^3 + cx + d\)

Using a graphing calculator; we plot the table entries on a graph.

From the graphing calculator, the quartic equation that represents the table is:

\(y = 6.04x^4 - 135.32x^3 + 698.78x^2- 228.48x + 363.95\)

Rewrite as a function

\(P(x) = 6.04x^4 - 135.32x^3 + 698.78x^2- 228.48x + 363.95\)

Hence, the equation that represents the table is:

(c) \(P(x) = 6.04x^4 - 135.32x^3 + 698.78x^2- 228.48x + 363.95\)

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15% of the people in the city visited the food pantry last month.

What is the percentage?

A percentage is a way of expressing a number as a fraction of 100. It is a ratio that compares a number to 100, and it is often denoted using the % symbol. For example, if there are 25 blue marbles in a jar of 100 marbles, we can say that 25% of the marbles are blue. This means that 25 out of every 100 marbles are blue.

To calculate the percentage of people who visited the food pantry last month, we can use the following formula:

Percentage = (Part / Whole) x 100%

where "Part" is the number of people who visited the food pantry last month, and "Whole" is the total number of people in the city.

Plugging in the given values, we get:

Percentage = (150 / 1,000) x 100%

Percentage = 0.15 x 100%

Percentage = 15%

Therefore, 15% of the people in the city visited the food pantry last month.

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We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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The missing graph is attached below.

After 35 years, Anthony's account is going to be worth $34193.12

The formula for the compound interest is given as

\(A = P(1 + r)^t\)

Where we have the principal = 3000

the rate of interest = 7.2%

The period of time = 35 years

We have to input these values in the formula above so that we would have

A = 3000 ( 1 + 0.072)³⁵

A = 3000 x 11.398

= $34193.12

Hence we would have that after the period of 35 years, the account would be worth $34193.12

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Given dimensions:

x=31 feet, y= 24 feet and z= 95 feet

We can split the shape above into 3 components: A, B, and C

To find the total area, we will find the sum of the areas of each component

For A

The shape of A is that of a semi-circle.

The area of a semi-circle is given to be

The radius will be the diameter divided by 2

y= diameter

r= radius = y/2

r=24/2 =12 feet

pi=3.14

For B

The shape is a rectangle

The area of a rectangle is given by

A = l x b

where l = 31 and b = 24

Area = 31 x 24

Area = 744 square feet

For C

The shape is a triangle

The area of the triangle is given by

base = 64 feet, height = 24 feet

The total area is

22

Answer:

\(y=\frac{4}{7} x-\frac{9}{7}\)

Step-by-step explanation:

The yellow points are on (4,1) and (8,8).

The slope is \(\frac{8-4}{8-1} =\frac{4}{7}\)

In point-slope form the equation is y-1=\(\frac{4}{7}\)(x-4)

Expand and add 1 to get y=\(\frac{4}{7}\)x-\(\frac{9}{7}\)

Answer:

Equation 2:y\geq 2x+3y≥2x+3

We will make the table.

x : -2 0 2

y : -1 3 7

Test Point: (0,4)

Assuming all points in the triangle \(T\) are uniformly distributed, we have the joint density

\(f_{X,Y}(x,y)=\begin{cases}\frac1A&\text{for }(x,y)\in T\\0&\text{otherwise}\end{cases}\)

where \(A=\frac{8^2}2=32\) is the area of the triangle \(T\).

(a)

\(P(X<5)=\displaystyle\iint_{T^*}f_{X,Y}(x,y)\,\mathrm dy\,\mathrm dx\)

(where \(T^*\) is the portion of \(T\) for which \(x\) is between 0 and 5)

\(P(X<5)=\displaystyle\frac1{32}\int_0^5\int_0^{8-x}\mathrm dy\,\mathrm dx\)

\(P(X<5)=\displaystyle\frac1{32}\int_0^5(8-x)\,\mathrm dx\)

\(P(X<5)=\dfrac1{32}\cdot\dfrac{55}2=\boxed{\dfrac{55}{64}}\)

(b) Generalizing the previous result, we have

\(P(X\le x^*)=\displaystyle\iint_{T^*}f_{X,Y}(x,y)\,\mathrm dy\,\mathrm dx\)

(this time with \(T^*\) being the portion of \(T\) where \(0\le x\le x^*\) for some \(x^*\) between 0 and 8)

\(P(X\le x^*)=\displaystyle\frac1{32}\int_0^{x^*}\int_0^{8-x}\mathrm dy\,\mathrm dx\)

\(P(X\le x^*)=\displaystyle\frac1{32}\int_0^{x^*}(8-x)\,\mathrm dx\)

\(P(X\le x^*)=\displaystyle\frac1{32}\left(8x^*-\frac{(x^*)^2}2\right)\)

That is, the CDF of \(X\) is

\(P(X\le x)=\begin{cases}\frac{8x-\frac{x^2}2}{32}&\text{for }0\le x\le8\\0&\text{otherwise}\end{cases}\)

or

\(\boxed{P(X\le x)=\begin{cases}\frac{16x-x^2}{64}&\text{for }0\le x\le8\\0&\text{otherwise}\end{cases}}\)

(c) Obtain the PDF by differentiating the CDF:

\(f_X(x)=\dfrac{\mathrm d}{\mathrm dx}P(X\le x)\)

\(\boxed{f_X(x)=\begin{cases}\frac{8-x}{32}&\text{for }0<x<8\\0&\text{otherwise}\end{cases}}\)

(d) Compute the expectation of \(X\):

\(E[X]=\displaystyle\int_0^8xf_X(x)\,\mathrm dx\)

\(E[X]=\displaystyle\frac1{32}\int_0^8x(8-x)\,\mathrm dx=\boxed{\frac83}\)

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

The expression that represents the combined inventory of these two stores is given as follows:

A. 7g²/2 - 4g/5 + 15/4.

The combined inventory is obtained adding the inventories for each store, combining the like terms.

The addition of the like terms for g² is given as follows:

1/2 + 3 = 0.5 + 3 = 3.5 = 7/2g².

The term with g is given as follows:

-4g/5.

The constant like terms are combined as follows:

7/2 + 1/4 = 14/4 + 1/4 = 15/4.

Hence the simplified expression is given as follows:

7g²/2 - 4g/5 + 15/4.

Meaning that the correct option is given by option A.

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Answer:

x = 20, y = -3

Step-by-step explanation:

Set both equations equal to each other

\(\displaystyle y=\frac{3}{5}x-15\\\\y=-\frac{3}{4}x+12\\\\\\\\\frac{3}{5}x-15=-\frac{3}{4}x+12\\\\\frac{12}{20}x-15=-\frac{15}{20}x+12\\\\\frac{27}{20}x-15=12\\\\\frac{27}{20}x=27\\\\x=20\\\\y=\frac{3}{5}x-15\\\\y=\frac{3}{5}(20)-15\\\\y=\frac{60}{5}-15\\\\y=12-15\\\\y=-3\)

That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

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The statement F(5) = 0.27 means that the probability that a tree is less than or equal to 5 meters tall is 0.27. In other words, the correct answer is: The probability that a tree is at most 5 meters tall is 27%.

The cumulative distribution function (CDF) gives the probability that a random variable is less than or equal to a certain value. In this case, F(5) gives the probability that a tree's height is less than or equal to 5 meters.

Therefore, the statement F(5) = 0.27 tells us that the probability that a tree's height is at most 5 meters is 0.27 or 27%. This means that 27% of the trees in the forest are 5 meters tall or shorter.

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Answer:

3 a + 8 x

Step-by-step explanation:

Answer:

3a + 8x

Step-by-step explanation:

2a + 3x + a + 5x

add 2a and a

3a + 3x + 5x

add 3x plus 5x

3a + 8x

hope this helped..

plz mark as BRAINLIEST

Given :-

To Find :-

Solution :-

According to the question ,

→ 5% of x is 4.6 , so

→ 5% × x = 4.6

→ 5x/100 = 4.6

→ x = ( 4.6 *100) /5

→ x = 92

Now we need to find out 300 % of x , so that,

→ 300% of 92

→ 300/100 * 92

→ 3 * 92

→ 276

Hence 300% of x is 276 .

I hope this helps .

Answer:

276

Step-by-step explanation:

first find the value of X:

5/100 × X = 4.6
X = 92

now use that value to find the 300% of X:

300/100 × 92
= 276

Answer:

33cm

Step-by-step explanation:

385 / 35 = 11

11 times 3 = 33

Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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Answer:

angle A is 112 degree.

Step-by-step explanation:

quadilateral have 4 angles .

sum of the interior angles of a quadilateral is 360 degree

Here,

angle A = be x

angle B = 122

angle C = 75

angle D = 51

Now,

angle A + angle B + angle C + angle D =360 degree

x + 122 + 75 + 51 = 360

x + 248 = 360

x = 360 - 248

x = 112

Answer:

132.54cm²

Step-by-step explanation:

We can use the formula [ C²/4π ] to solve.

= 40.8²/4π

= 1,664.64/12.56

≈ 132.54cm²

Best of Luck!

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of y is -8.67

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-100 . \(2^{0.5y}\) = -5

We will find the value of y.

Multiply -5 on both sides.

20. \(2^{0.5y}\) = 1

Divide both sides by 20.

\(2^{0.5y}\) = 1/20

Log on both sides.

log  \(2^{0.5y}\) = log (1/20)

0.5y log 2 = log(1/20)

0.5y x 0.30 = log 1 - log 20

0.5y x 0.30 = 0 - 1.30

y = -1.30 / 0.15

y = -8.67

Thus,

The value of y is -8.67

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The total amount payable at the end of 4 years is 406

In this given sum we are provided with the values of principal , rate of interest , and the number of years , we are asked to calculate the amount payable after 4 years that is the matured amount which is calculated with the addition of the principal amount and the simple interest. For that we had to first find out the amount of interest and then we need to add that with the principal amount to get the matured amount or the amount that is payable at the end of 4 years.

here we have to apply the formulla of simmple interest :

(principal × rate of interest × no. of years )/ 100

In the given sum principal (p) = 350 , rate of interest (r) = 4% pa , no. of years (n) = 4

Simple interest = pnr/100

= (350 × 4 × 4)/100  = 56

Matured Amount = Principal + Interest

= 350 + 56 = 406

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The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

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