Please help its finals

The population standard deviation of {5, 8, 8, 5} is 3

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

here, we have.

The given population is

{5, 8, 8, 5}

The mean of the population = Sum of the terms /  Number of Terms

Find the values and substitute the values in the equation

Sum of terms = 5 + 8 + 8 +5

                      = 26

Number of terms = 4

The mean of the population= 26 / 4

                                              = 6.5

The variance of the population

= (5 - 6.5)^2 + (8 - 6.5)^2 + (8 - 6.5)^2 + (5 - 6.5)^2

= (-1.5)^2 + (1.5)^2 + 1.5^2 + (-1.5)^2

= 2.25 + 2.25 + 2.25 + 2.25

= 9

The standard deviation of the population  =

= 3

Therefore, the standard deviation is 3.

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Answer: 62°

Step-by-step explanation:

Exterior angle property.

130 = 16x + 4 + 14x + 6

130 = 30x + 10

30x = 120

x = 4

Therefore, ∠FGE = 14 x 4 + 6 = 62°

Cheers!

Answer:

The answe should be c=45d+25

Answer:600

Step-by-step explanation:

850 - 250 = 600

Answer:

A. To find a linear equation that models the temperature T when crickets are chirping at x chirps per minute, we need to use two points that are known. In this case, we are given that a cricket produces 120 chirps per minute at 70 degrees F and 168 chirps per minute at 80 degrees F. We can use these two points to find the slope and y-intercept of the line.

The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1)

In this case, we can substitute the given values to get:

m = (168 - 120) / (80 - 70) = 48/10 = 4.8

The y-intercept of a line can be found using the formula: b = y - mx

We can use the point (70, 120) and the slope that we found to get:

b = 120 - (4.8 * 70) = -264

So the linear equation that models the temperature T when crickets are chirping at x chirps per minute is:

T = 4.8x - 264

B. If the crickets are chirping at 150 chirps per minute, we can substitute this value for x in the equation we found above to estimate the temperature:

T = 4.8x - 264

T = 4.8(150) - 264 = 720 - 264 = 456

So the estimated temperature is 456 degrees F.

C. The y-intercept of the line is -264, it represents the temperature when x (chirps per minutes) is zero. In this case it represents the temperature when the cricket is not chirping which is impossible, so it doesn't have any physical meaning.

The gap is approximately 259,854.9 inches wide.

What is the circumference of a circle?

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius of the circle.

The Earth's equator has a circumference of about 24,901 miles. The new circular band has a circumference of 25,036 inches.

When the steel band was cut and spliced, it increased the circumference by 36 inches. Since the circumference is directly related to the diameter, the new band is also larger in diameter than the original band.

We can use this increase in circumference to find the increase in diameter:

25,036 inches / 2π = 3957.1 inches

24,901 miles * 12 inches/mile = 298,812 inches

The gap is the difference between the two diameters:

298,812 inches - 3957.1 inches = 259,854.9 inches

Hence, The gap is approximately 259,854.9 inches wide.

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Answer:

14 cups of flour

Step-by-step explanation:

14 cups of sugar multiplied by 2 is 28 cups of sugar

7 cups of flour multiplied by 2 is 14 cups of flour

A quotient in mathematics is the amount created by dividing two numbers.

The term "quotient" is used frequently in mathematics and is used to describe the integer component of a division (in the case of Euclidean division), as well as a fraction or a ratio (in the case of proper division).

Following are the decimals to their nearest thousandths:

When a number is rounded to the closest thousand, it is changed to an approximated value that is simpler to recall and utilize. The closest value to the supplied integer is this value, which is a multiple of 1000. For instance, 342984 becomes 343000 if it is rounded to the closest thousand.

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Answer: True

Step-by-step explanation:

Because 8-2 is 6 therefore the equation is 6>3 saying that 6 is greater than 3 or 3 is less than 6

Answer: (-4,0)

Step-by-step explanation:

3y = 20 -4x  .multiply by 2

2y = 12 - 3x  .multiply by 3

we get,

6y= 40 - 8x

6y= 36 - 9x

Subtracting both we get,

0 = 4 + x

x= - 4

Answer: 63.635 cm^2

Step-by-step explanation:

A right triangle is equal to half the area of a square or rectangle(length x width).

Thinking of the triangle as a rectangle first gives:

8.9 x 14.3 = 127.27

Now, a right triangle is half of this:

127.27 / 2 = 63.635

The answers to all the parts is given above.

Direct variation of {y} with {x} means that as {x} increases, {y} increases uniformly with it. Mathematically -

{K} = y/x = constant                             .... Eq{ 1 }

Scale factor {K} is a dimensionless value that indicates the constant ratio value indicating direct variation.

Given is a table as shown in question 10 of the given image.

{ 1 } -

We can write Jake's rate of change of grade per hour studied as -

{r} = (91 - 84)/(2 - 1)

{r} = 7/1

{r} = 7

{ 2 } -

We can write Howie's rate of change of grade per hour studied as -

{r} = {(91 + 6) - 84}/(2 - 1)

{r} = 13

Therefore, the answers to all the parts is given above.

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In order for (x - k) to be a factor of f(x), it must also be a zero of f(x). An integer-coefficient polynomial function's rational zeros are equal to the constant term's factor divided by the leading coefficient's factor.

When exponents, constants, and variables are joined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable).

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Answer:

hope this helps!

Step-by-step explanation:

The length of the pool is 50 m, width 25 m, and the depth varies: 2.0 m is the minimum, but 3.0 m is the recommended depth. Olympic-size swimming pool contains 2,500,000 L of water, assuming a nominal depth of 2 m. It's around 550,000 imp gal and 660,000 US gal.

The value of the function f(x) = 3x - 5 when x = 2 is f(2) = 1

A function is a mathematical equation that shows the relationship between two variables.

Given the function f(x) = 3x - 5, we desire to find f(2).

To find f(2), we substitute x = 2 into the equation. So, we have that

f(x) = 3x - 5. So substituting x = 2 into the equation, w ehave

f(2) = 3(2) - 5

f(2) = 6 - 5

f(2) = 1

So, the value of the function f(x) = 3x - 5 when x = 2 is f(2) = 1

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Answer:

To factorize 21x⁴y⁵ - 7x³y² + 14x³y⁴, we can factor out the greatest common factor (GCF) from all three terms. The GCF of the three terms is x³y².

So we can write:

21x⁴y⁵ - 7x³y² + 14x³y⁴ = x³y²(21x y³ - 7 + 14x²y²)

We can simplify further by combining the constants:

21x y³ - 7 + 14x²y² = 21x y³ + 14x²y² - 7

So the expression can be factorized as:

x³y²(21x y³ + 14x²y² - 7)

This is the factorization of 21x⁴y⁵ - 7x³y² + 14x³y⁴.

The answer you neede is below.

What is Lines square?

Different sorts of lines, including horizontal, vertical, parallel, and perpendicular ones, can be found in geometry. These lines are crucial in the building of many polygonal shapes. For instance, four lines of equal length form a square, whereas three lines joined end to end form a triangle.

Step by step Explaination:

Answer: 12i

Step-by-step explanation:

you cannot square root a negative number, therefore take the negative out of 144

[tex]\sqrt{-1} \sqrt{144}[/tex]

The square root of negative 1 is equal to the imaginary number i

[tex]i \sqrt{144}[/tex]

The square root of 144 is 12

[tex]12i[/tex]

Answer:

81

Step-by-step explanation:

37(3)=81

Radiometric dating uses a decay curve to estimate the age of a fossil. The X-axis represents the number of years since the fossil was formed. The Y-axis represents the amount of radioactive material remaining in the fossil.

Radioactive elements decay over time, and the rate of decay is used to calculate how long ago the fossil was formed. The decay curve is a graph of the amount of the radioactive element left in the fossil over time, with the X axis showing the amount of time that has passed since the fossil was formed and the Y axis showing the amount of the radioisotope that is left in the fossil. The decay curve is used to estimate the age of the fossil by looking at the rate of decay and the amount of radioisotope that is left in the fossil.

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The conversion of units shown below.

The same attribute is expressed using a unit conversion, but in a different unit of measurement.

For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

1. 25 mi/hr=__m/min

As, 1 m/h = 0.01667 m/min

25 mph = 25 x 0.01667

             = 0.41675 m /min

2. 32 mi/gal=__gt/min

32 mile/ gal = 153721589.8148768 gt/ min

3. 10 m/s=__ft/s

10 m/s= 32.80 ft/s

4. 14 gal/s=__km/l

14 gal/s = 32.93 km/l

5. 3.5 days=__mins

3.5 days = 5040 minutes

6. 100yd=__qt/m

100 yd= 0.0001 qt/m

7. 15 dollars/hr=__cents/min

15 dollars/hr= 25 cents/ min

8. 5L/s =___kL/min

5 L/s = 0.3 Kl/ min

9. 62in.=__m

62in.= 1.5748 m

10. 7 days= __s

7 days=604800 sec

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The measure of the angles in the parallelogram are 144 and 36 degrees.

What is a parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are also equal.

Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.

Two parallel pairs of sides make up a parallelogram, a quadrilateral. Four right angles form a parallelogram called a rectangle.

Angles in a parallelogram

a + b + c + d = 360

Opposite angles are equal, so

2a + 2(0.25a) = 360

2a + 0.5 = 360

2.5a = 360

a = 360/ 2.5

a = 144

the other angle = 180 - 144 = 36 degrees

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To see the steps of Draw a graph.

Now, According to the question:

What is called graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

These are the steps of draw a graph:

Step 1: Identify the variables.

Step 2: Determine the variable range.

Step 3: Determine the scale of the graph.

Step 4: Number and label each axis and title the graph.

Step 5: Determine the data points and plot on the graph.

Step 6: Draw the graph.

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B) (0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)

It's reason can be explain through diagram, just observe & hit the answer.

B) (0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)

It's reason can be explain through diagram, just observe & hit the answer.

The answer is B because on the diagram, the left side is all of the x's and the right side is all of the y's

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The percentage decrease in the distance from his home to his family is 42.69%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Mr. Angelou moved closer to his family. He used to live 89 miles away and now purchased a home 51 miles away from his family.

The percentage decrease will be calculated as,

Percentage decrease = ( 89 - 51 ) / ( 89 )

Percentage decrease = 38 / 89

Percentage decrease = 42.69%

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The probability of selection of diagonal which is not shortest nor longest is 13/17.

We know very well that Icosagon has 20 sides.

If any diagonal is possible, it can be possible by connecting two points, so to choose r objects from n objects can be done by ⁿ [tex]C_{r}[/tex] = [tex]\frac{n!}{r! (n-r)!}[/tex]

So, number of ways to choose diagonal = [tex]^2^0C_{2}[/tex]

After that we need to subtract 20 ways as single point can lead to diagonal making.

So, total number of ways to choose 20 diagonals =  170

Now, talking about the shorter diagonal

so, shorter diagonal =Diagonal connecting(A₁A₃, A₂A₄,.....) =20 diagonals.

Now, talking about longer diagonal=Diagonal connecting(A₁A₈,A₂A₉.........) = 20 diagonals

So, we have total chances of ⁿ [tex]C_{r}[/tex] = [tex]\frac{n!}{r! (n-r)!}[/tex] and possible number of chances of selection of shorter and longer diagonal

So, according to the formula,

Probability= Favorable outcome /Total outcome

Probability = [(Total ways to select diagonals - (Ways to select shorter diagonal) - Ways to select longer diagonal)]/(Total number of ways)

Probability = (170-20-20)/170

Probability = 130/170

Probability = 13/17

Hence, the probability of selecting a  diagonal such that it is not shortest nor longest is 13/17.

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The formula of algebraic expression identities is (a – b)2 = a2 – 2ab + b.

What is algebraic expression ?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.

Formula of Algebraic Identities ,

[tex](a+b)^{2}[/tex] = a2 + 2ab + b^2

[tex](a-b)^{2}[/tex] = a2 – 2ab + b^2

(a + b) (a – b) = a2 - b^2

(x + a) (x + b) =[tex]x^{2}[/tex]+ (a + b) x + ab.

(x + a) (x – b) =[tex]x^{2}[/tex] + (a – b) x – ab.

(x – a) (x + b) =[tex]x^{2}[/tex] + (b – a) x – ab.

(x – a) (x – b) = [tex]x^{2}[/tex] – (a + b) x + ab.

[tex](a+b)^{3}[/tex] = a3 + b3 + 3ab (a + b)

The formula of algebraic expression identities is (a – b)2 = a2 – 2ab + b.

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the percentage of change is calculated using a formula, which gives you the solution as 40% of change in this question.

percentage of change = [ (new price - old price)/old price ] *100

= [(70-50)/50 ] *100

= [20/50 ] *100 = 40%

To calculate the percentage change we divide the change in price by the original value of the factor. By subratcting the old price from the new price, you will get either a positive or negative sign. If it is positive, the change is increasing while in case of negative sign, change results in decrease.

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