Statistics homework. Please help

Answer:

I'm going to answer in the comments so no one steals this answer

Step-by-step explanation:

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

The inequality is used to find the domain of the given function is

5x-5 ≥ 0

A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.

Given is function y = √(5x-5)+1, we have to find which inequality can be used to find the domain.

Since, the function is a square root function.

We know that,

The square root function is defined only for the positive values, including 0. i.e. the expression inside the square root must be greater than or equal to 0.

The expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :

5x-5 ≥ 0

Hence, the inequality is used to find the domain of the given function is 5x-5 ≥ 0

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62 is 90.5% of what number

Let

x -----> the number

so

we have that

90.5%=90.5/100=0.905

0.905x=62

Find out the value of x

x=62/0.905

x=68.51

The width of the rectangular rug is 13 feet and the length of the rectangular rug is 26 feet.

Area of a rectangle formula: A = L * W. A

rectangle's length and width are multiplied to produce its area.

A is the area, L is the length, and W is the width or girth, where

A = L * W.

The corresponding sides of the rectangular rug and the rectangular floor must be proportional if they are alike.

Let's use "x" to represent the rug's width. The floor measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet according to the details provided. Since the rug and the surface are comparable, we can establish the following ratio:

Rug width/floor width = rug length/floor length

x / 26 = rug's length / 32

We can cross-multiply and then solve for "x" to find the answer:

32x = 26 * Rug's length

x =  (26 * Rug Length) / 32

\(= \frac{26 * 16}{32} \\= \frac{26}{2} \\= 13\)

Therefore x ( the width of the rug) is = 13 feet.

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Complete question:

The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet, what is the width of the rug?

Answer:

Therefore, the tent company needs about 10752 square inches of fabric to make the tent.

Step-by-step explanation:

To find the surface area of the tent, we need to find the area of each face and add them together. Looking at the net provided, we see that the tent has 5 faces: two congruent triangles (ABD and CDE), two rectangles (ABCF and DEGH), and a parallelogram (BCDE).

Let's start with the triangles. To find the area of triangle ABD, we can use the formula for the area of a triangle:

Area of ABD = (1/2) * base * height

The base is the side AB, which has a length of c = 42 inches, and the height is a, which has length of 67 inches. So we have:

Area of ABD = (1/2) * 42 * 67 = 1407 square inches

Since triangle ABD is congruent to triangle CDE, they have the same area. Therefore, the total area contributed by the two triangles is:

2 * Area of ABD = 2 * 1407 = 2814 square inches

Next, let's find the area of the two rectangles. The rectangle ABCF has length b = 68 inches and height a = 67 inches, so its area is:

Area of ABCF = b * a = 68 * 67 = 4556 square inches

The rectangle DEGH has length d = 64 inches and height a = 67 inches, so its area is:

Area of DEGH = d * a = 64 * 67 = 4288 square inches

Finally, let's find the area of the parallelogram BCDE. To do this, we need to find the height of the parallelogram, which is the perpendicular distance between the base BC and the line DE. We can use the Pythagorean theorem to find this height:

h = sqrt(d^2 - b^2) = sqrt(64^2 - 68^2) ≈ 38.48 inches

Therefore, the area of the parallelogram is:

Area of BCDE = base * height = c * h = 42 * 38.48 ≈ 1613.76 square inches

Adding up the areas of all 5 faces, we get the total surface area of the tent:

Total surface area = 2 * Area of ABD + Area of ABCF + Area of DEGH + Area of BCDE

= 2 * 1407 + 4556 + 4288 + 1613.76 ≈ 10752 square inches

Therefore, the tent company needs about 10752 square inches of fabric to make the tent.

There are three coefficients present in the expression: 5 for the x³ ;  2 for the x² and 6 is for x.

The integer or constant quantity put before a variable is known as a coefficient.

Thus, there are three coefficients present in the expression: 5 for the x³ ;  2 for the x² and 6 is for x.

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Complete question-

How many coefficients are in the expression 5x³ + 2x²+6x-4?

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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Answer:

slope = 4

points on graph = (0,0), (1,4)

Step-by-step explanation:

line going through quadrants 1 and 3. Straight line.

Answer:

I'll try

Step-by-step explanation:

22.50÷5

4.5× 7

=31.5

Answer: 6

Step-by-step explanation:

Step-by-step explanation:

The circumference of a WHOLE circle = pi * d

   you have 1/2 of this  and d = 10 ft

     so   1/2 pi * 10      PLUS the two straight sides + 8+6

       1/2 pi * 10   + 8 + 6

         5 pi + 8 + 6

        5 * 3.14   + 14 = 29.7 ft

Answer:

The rate of temperatures in Celsius each hour

Step-by-step explanation:

Answer:

53 1/3 yards

Step-by-step explanation:

For every 3 ft, there is a total of 1 yard. Using this conversion, we can divide the 160 ft by 3 to get our answer in yards.

160 ft / 3 = 53 1/2

We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.

Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.

The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:

Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%

Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%

We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:

Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)

Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185

We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.

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Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .

Answer:

10 inches

Step-by-step explanation:

2+2.25+2.25+2.25+2.5+2.75+2.75+3.25=10!!!!!!!!!

Answer:

thank youuu

Step-by-step explanation:

Answer:

do you need it for both sides

Step-by-step explanation:

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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To find a particular solution of the non-homogeneous equation and the general solution of the equation, we can use the method of variation of parameters.

First, let's find the Wronskian of the homogeneous solutions y1(x) and y2(x):

W(y1, y2) = | y1 y2 |

| y1' y2' |

We have y1(x) = sin(x) / √x and y2(x) = cos(x) / √x. Differentiating these functions, we get:

y1'(x) = (cos(x) / √x - sin(x) / (2√x^3))

y2'(x) = (-sin(x) / √x - cos(x) / (2√x^3))

Substituting these values into the Wronskian:

W(y1, y2) = | sin(x) / √x cos(x) / √x |

| (cos(x) / √x - sin(x) / (2√x^3)) (-sin(x) / √x - cos(x) / (2√x^3)) |

Expanding the determinant:

W(y1, y2) = (sin(x) / √x) * (-sin(x) / √x - cos(x) / (2√x^3)) - (cos(x) / √x) * (cos(x) / √x - sin(x) / (2√x^3))

Simplifying:

W(y1, y2) = -1 / (2√x)

Now, we can find the particular solution using the variation of parameters formula:

y_p(x) = -y1(x) * ∫(y2(x) * g(x)) / W(y1, y2) dx + y2(x) * ∫(y1(x) * g(x)) / W(y1, y2) dx

Here, g(x) = 3x√xsin(x). Substituting the values:

y_p(x) = -((sin(x) / √x) * ∫((3x√xsin(x)) * (-1 / (2√x))) dx + (cos(x) / √x) * ∫((3x√xsin(x)) / (2√x)) dx

Simplifying the integrals:

y_p(x) = -(∫(-3sin^2(x)) dx) + (∫(3xcos(x)sin(x)) dx)

Integrating:

y_p(x) = 3/2 (xsin^2(x) - cos^2(x)) - 3/2 (xcos^2(x) + sin^2(x)) + C

Simplifying:

y_p(x) = 3x(sin^2(x) - cos^2(x)) + C

The general solution of the equation is given by the sum of the homogeneous solutions and the particular solution:

y(x) = C1 * (sin(x) / √x) + C2 * (cos(x) / √x) + 3x(sin^2(x) - cos^2(x)) + C

where C1, C2, and C are arbitrary constants.

Ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. At this rate, Ray can drive 22 miles on 1 gallon of gas.

Let's analyze the given information:

Ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles.

We need to determine how many miles Ray can drive on 1 gallon of gas. To do this, we'll calculate the rate of gas consumption in terms of miles per gallon.

Rate of gas consumption = Distance traveled / Gas used

Gas used = 1/4 gallon

Distance traveled = 5 1/2 miles = 5 + 1/2 = 11/2 miles

Now, let's substitute the values into the formula:

Rate of gas consumption = (11/2) miles / (1/4) gallon

To divide by a fraction, we can multiply by its reciprocal:

Rate of gas consumption = (11/2) miles * (4/1) gallon

Simplifying:

Rate of gas consumption = (11 * 4) miles / (2 * 1) gallon

Rate of gas consumption = 44 miles / 2 gallon

Rate of gas consumption = 22 miles per gallon

Therefore, based on the given information, Ray can drive 22 miles on 1 gallon of gas.

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Question

Ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. At this rate, how many miles can he drive on 1 gallon of gas?

Ray can drive ???? miles on 1 gallon of gas.

Answer: The answer in a is No while the answer in b is Yes

Step-by-step explanation:

Find the explanation in the attached file.

Answer:

the answer should be < .

Answer:

Area of trapezoid = 262.5 inches²

Step-by-step explanation:

Given:

Larger Base = \(36\frac{1}{2}\) inches = 36.5 inches

Smaller Base = \(13\frac{1}{2}\) inches = 13.5 inches

Height of trapezoid =  \(10\frac{1}{2}\) inches = 10.5 inches

Find:

Area of trapezoid

Computation:

Area of trapezoid = [Sum of parallel line / 2]Height

Area of trapezoid = [(a+b) / 2]h

Area of trapezoid = [(36.5 + 13.5) / 2]10.5

Area of trapezoid = [(50) / 2]10.5

Area of trapezoid = [25]10.5

Area of trapezoid = 262.5 inches²

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{2}}x-5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line whose slope is -1/2 and passes through (6 , -4)

\((\stackrel{x_1}{6}~,~\stackrel{y_1}{-4})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{6}) \\\\\\ y+4=-\cfrac{1}{2}x+3\implies y=-\cfrac{1}{2}x-1\)

Answer:

B. making an inference.

Step-by-step explanation:

The drama teacher's decision to add another performance time on Saturday is a result of making an inference based on the information that 80% of last year's sold-out plays occurred during weekend performances. By observing this pattern, the drama teacher infers that adding another performance on Saturday will likely attract a larger audience and increase the chances of having a sold-out show.

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

"bc is twice half of angle D"