pls solve my hw is due tmmr ill give brainly

Answer:

18573.85

Step-by-step explanation:

Area of rectangle = 42 * 9 * 35 = 13230 cm
Area of half-circle cylinder = 42 * (9^2 * pi) / 2 = 5343.8491 cm

13230 + 5343.8491 = 18573.8491

rounded = 18573.85

Answer:

Please mark me the brainliest.

Step-by-step explanation:

For each question, there are two possible outcomes: true or false. Therefore, the total number of possible outcomes for a 6-question true-or-false test is 2 x 2 x 2 x 2 x 2 x 2, which is equal to 2^6. Using a calculator, we can find that 2^6 is equal to 64.

Therefore, the answer is option D: 64.

Answer:

Step-by-step explanation:

To find the slope of the line, we need to calculate the rise over the run between two points on the line. Let's choose the two points (0, -3) and (6, 3) as shown in the graph.

Rise = change in y = 3 - (-3) = 6

Run = change in x = 6 - 0 = 6

So the slope of the line is:

slope = rise/run = 6/6 = 1

Therefore, the slope of the line is 1.

Note that the actual area under the above given curve  between x =2 and x = 6 is 12,870 (Option A)

To derive the actual arae under the curve, we have to tke the limit as the number of rectangles approaches infinity, which means we need to evaluate:

Limn → ∞ RN

Replacing the given formula for Rn, we get:

Limn →∞ [ 193955n⁴ + 863n³ - 38080n² - 204815n⁴

This will given us:

Limn → ∞  [ 193955n + + 863/n - 38080/n² - 2048/n⁴/15]

Note: As n approaches infinity, the second and 3rd terms will become relative negligible when palced side by side with the 1st term and the fouth term nears zero.

Thus:

Limn → ∞ (193055 / 15) = 12870.33

So Option A is the correct answer when approximated.

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The benefit-cost ratio of the program intervention is 12:7. This means that for every $7 spent on the program, $12 worth of benefits are realized.

What is ratio?

A ratio is a way of comparing two or more quantities that are measured in the same units. It is a mathematical expression that shows the relationship between two numbers or quantities.

The benefit-cost ratio (BCR) is a ratio of the total benefits of a program intervention to its total costs. In this case, the BCR can be calculated as:

BCR = Total benefits / Total costs

From the given information, the total cost of the program intervention is $1.75 million, and the savings resulting from the program are $3 million. Therefore, the total benefits are $3 million, and the BCR can be calculated as:

BCR = $3 million / $1.75 million

Simplifying this fraction, we can divide both the numerator and denominator by 0.25 million (or 250,000):

BCR = $12 / $7

Therefore, the benefit-cost ratio of the program intervention is 12:7. This means that for every $7 spent on the program, $12 worth of benefits are realized.

Note that to obtain the ratio of 12:7, we first simplify the fraction by dividing both the numerator and denominator by the highest common factor, which is 250,000 in this case. This gives us a new fraction of 12/7, which can be expressed as the ratio of 12 to 7.

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The two distributions can be concluded as:

The distributions are similar.

The means-to-MAD ratio is 3.

Options A and C are the correct answer.

The MAD (Mean Absolute Deviation) is a measure of variability similar to standard deviation, but it measures the average absolute difference between each value and the mean, regardless of the direction of the deviation.

The means-to-MAD ratio is a measure of how spread out the data is, relative to the mean.

Since the means-to-MAD ratio for Data Set 1 is 3 and the means-to-MAD ratio for Data Set 2 is 30, Data Set 1 is more spread out than Data Set 2.

However, since the ratio is not extremely different (i.e., not greater than 10), the two distributions can still be considered similar.

Thus,

The two distributions can be concluded as:

The distributions are similar.

The means-to-MAD ratio is 3.

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The length of the side a is 8.55 units.

Given is a right triangle, the side c which the hypotenuse is 25 units, and an acute angle A is 20°,

We need to find the length of the side a,

Considering the angle, A as reference angle, we have,

Sin A = a / c

Sin 20° = a / 25

a = Sin 20° × 25

a = 8.55

Hence, the length of the side a is 8.55 units.

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Answer:

The formula for the volume of a pyramid is:

V = (1/3) × base area × height

We know that the base of the pyramid is a square with a side length of 7 centimeters. So, the base area is:

base area = side length squared = 7² = 49 square centimeters

We also know that the volume of the pyramid is 196 cubic centimeters. Plugging these values into the formula above and solving for the height:

196 = (1/3) × 49 × height

588 = 49 × height

height = 588/49

height = 12

Therefore, the height of the pyramid is 12 centimeters.

Answer:

Step-by-step explanation:

yes it is

The cosine of twice the angle is given as follows:

cos(2θ) = -527/625.

The identity to obtain the cosine of twice the angle is given as follows:

cos(2θ) = cos²(θ) - sin²(θ).

The relation between the sine and the cosine is given as follows:

sin²(θ) + cos²(θ) = 1.

Hence the cosine squared is obtained as follows:

cos²(θ) = (7/25)²

cos²(θ) = 49/625.

The sine squared is given as follows:

sin²(θ) = 1 - cos²(θ)

sin²(θ) = 1 - (49/625)

sin²(θ) = (625/625) - (49/625)

sin²(θ) = 576/625.

Meaning that the cosine of twice the angle is given as follows:

cos(2θ) = cos²(θ) - sin²(θ).

cos(2θ) = 49/625 - 576/625

cos(2θ) = -527/625.

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Therefore, the two equations that represent circles with a diameter of 12 units and a center on the y-axis are:

[tex]x^2 + (y - 6)^2 = 6^2[/tex]

and

[tex]x^2 + (y + 6)^2 = 6^2[/tex]

We know that a circle with diameter 12 units has a radius of 6 units. Also, since the center of the circle lies on the y-axis, the x-coordinate of the center is 0.

The equation of a circle with center (0, k) and radius r is given by:

[tex](x - 0)^2 + (y - k)^2 = r^2[/tex]

or simply,

[tex]x^2 + (y - k)^2 = r^2[/tex]

Substituting the values, we have:

Diameter = 12 units → Radius = 6 units

Center lies on the y-axis → x-coordinate of center = 0

So, the equation of the circle is. [tex]x^2 + (y - k)^2= 6^2[/tex], where k is the y-coordinate of the center.

We can now check which of the given equations match this form:

[tex]x^2 + (y - 3)^2 = 36 -- >[/tex]center at (0,3) -> not on y-axis

[tex]x^2 + (y - 5)^2 = 6 -- >[/tex]not a diameter of 12 units

[tex](x – 4)^2 + y^2 = 36 -- >[/tex] center not on y-axis

[tex](x + 6)^2 + y^2 = 144 -- >[/tex] center not on y-axis

[tex]x^2 + (y + 8)^2 = 36 -- >[/tex]center at (0,-8) -> not on y-axis

So, the only equation that represents a circle with a diameter of 12 units and a center on the y-axis is:

[tex]x^2 + (y - k)^2 = 6^2[/tex]

We know that the center is on the y-axis, so the x-coordinate is 0. The distance from the center to the y-axis is 6 units. So, the y-coordinate of the center is either 6 or -6. Thus, we get two equations:

[tex]x^2 + (y - 6)^2 = 6^2[/tex]

and

[tex]x^2 + (y + 6)^2 = 6^2[/tex]

Therefore, the two equations that represent circles with a diameter of 12 units and a center on the y-axis are:

[tex]x^2+ (y - 6)^2 = 6^2[/tex]

and

[tex]x^2 + (y + 6)^2 = 6^2[/tex]

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Answer:  

Step-by-step explanation:

This is a 30-60-90 triangle so the shorter leg is your x

the longer leg is [tex]x\sqrt{3}[/tex]

and the hypotenuse is 2x

They gave you the longer leg because it is across from the 60, no the 30 angle.

so 16=[tex]x\sqrt{3}[/tex]

    x=[tex]\frac{16}{\sqrt{3} }[/tex]    you cannot have a root on the bottom so multiply by [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]

    [tex]x=\frac{16\sqrt{3} }{3}[/tex]   this is the short leg

the long leg multiply by 2   so long leg = [tex]\frac{32\sqrt{3} }{3}[/tex]

The volume and the surface area of the cylindrical bottle is 200.96 cm³ and 226.08 cm² respectively.

Given that a cylindrical bottle has radius 2 of cm and height of 16 cm.

Surface area = 2 π × radius × (radius + height)

= 2 × 3.14 × 2 × (16+2)

= 12.56 × 18

= 226.08

∴ The surface area of the bottle is 226.08 cm².

Volume = π × radius² × height

= 3.14 × 2² × 16

= 200.96 cm³

∴ The volume of the bottle is 200.96 cm³.

Hence, the volume and the surface area of the cylindrical bottle is 200.96 cm³ and 226.08 cm² respectively.

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Answer:

10.30089

Step-by-step explanation:

This is true because to find the radius of a circle is pie x r^2 so if the circle is 4 across then the radius is 2 and 2^2 is 4 so pie x 4pie and there is three circles so the total area of all of the circles is 12pie and the area of the rectangle is 48 because it is 4 wide and 12 tall because its height is 3 times its width and 48- 12pie is 10.30089

Answer:

16

Step-by-step explanation:

The Pythagorean theorem states [tex]a^2+b^2=c^2[/tex], where a and b are the legs of the right triangle. To solve for b, we can convert the equation to [tex]b^2=c^2-a^2[/tex]

Plugging the values in, we get [tex]b^2=400-144=256[/tex]

b=16

The minimum amount of wrapping paper, needed to cover the package surface area is 174 square inches.

From the given three dimensional figure,

Total surface area = Area of 2 similar trapeziums + Area of rectangles of 4 different rectangles

We know that, area of a triangle = 1/2 ×Base×Height and area of a rectangle is Length×Breadth.

= 2×1/2(7+3)×3+8×5+8×3+8×3+8×7

= 30+40+24+24+56

= 174 square inches

Therefore, the minimum amount of wrapping paper, needed to cover the package surface area is 174 square inches.

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1. If a value of 120.5° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, D. The mean increases by 3.1°.

2. If a shoe size of 6 is added to the ordered data, 5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, B. The IQR remains a 2.

3. If a value of 101° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, B. The mean increases by 1.6°.

4. If a shoe size of 9 is added to the ordered data, 5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, the median that was 6.75, now D. The median increases to 7.

5. If a value of 60° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, C. The median decreases to 77°.

6. If a value of 80.2° is added to the data, 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, C. The range stays at 48°.

7. If a value of 58° is added to the data, (57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105), the measure that chances the most is the D. IQR with the new value as 32°.

To compute the interquartile range, determine the median of the data's lower and upper half and subtract quartile 1 from quartile 3.

1. Average high temperatures for a city:

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

Total = 965°

Average = 80.4° (965° ÷ 12)

New average with 120.5° added:

New total = 1,085.5° (965° + 120.5°)

Average = 83.5° (1,085.5° ÷ 13)

The difference in mean = 3.1° (83.5° - 80.4°)

2. Shoe Sizes:

5  5.5  6  6.5   6.5   7  7.5  8  8  8.5

Median = 6.75 (6.5 + 7)/2

Interquartile = 8 - 6 = 2

Add shoe size 6 to the data:

5  5.5  6    6   6.5   6.5   7  7.5  8  8  8.5

Median = 6.5

IQR = 8 - 6 = 2

3. Average Temperature:

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

Total = 965°

Mean = 80.4° (965° ÷ 12)

If a value of 101° is added to the data, the new mean becomes:

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57, 101

Total = 1,066

Mean = 82° (1,066 ÷ 13)

The difference in the mean = 1.6° (82° - 80.4°)

4. Raw Data:

 5.5   6   7     8.5   6.5

 6.5   8   7.5  8      5

Arranged:

5  5.5  6  6.5   6.5   7  7.5  8  8  8.5

Median of data = 6.75 (6.5 + 7) ÷ 2

When 9 is added to the data:

5  5.5  6  6.5  6.5  7  7.5  8  8  8.5  9

Median = 7

5. 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

Ordered Data:

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Median = 79.5 (77 + 82)/2

Add 60°, the new ordered data:

57, 58, 60, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Median = 77

6. Range:

Highest value = 105

Lowest value = 57

Difference = 48

Range = 48 (105 - 57)

Add 80.2°, the range stays at 48° (105 - 57)

7. Average high temperatures:

Raw Data:

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

Ordered Data:

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Total = 965

Mean = 80.4 (965 ÷ 12)

Median = 79.5 (77 + 82)/2

IQR = 39 (100 - 61)

Range = 48 (105 - 57)

A new temperature of 58° is added,

57, 58, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Total = 1,023

Mean = 78.7 (1,023 ÷ 13)

Median = 77

IQR = 32 (93 - 61)

Range = 48 (105 - 57)

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The probability for different conditions that a man between the ages of 25 and 29 was never married is 25% with sample size 40 are,

Mean representing man never married =10.

Standard deviation of the never married man =2.7

probability of the men exactly 13 never married = 0.137.

probability that ten or fewer men never married = 0.056.

probability representing 21 were married = 0.3188

probability of man never married between age 25 and 29 = 25%

Sample size 'n' = 40

Blank 1,

The expected number of men who have never been married is,

Expected value

= n × p

= 40 × 0.25

= 10

The mean number of men who have never been married is 10.

Blank 2,

The standard deviation of the number of men who have never been married can be calculated using the formula,

Standard deviation = √(n × p × (1 - p))

where n is the sample size

and p is the probability of success never been married.

Standard deviation

= √(40 × 0.25 × (1 - 0.25))

= 2.7

The standard deviation of the number of men who have never been married is 2.7.

Blank 3,

The probability of exactly 13 men who have never been married can be calculated using the binomial probability formula,

P(X = a) = ⁿCₐ× pᵃ × (1 - p)ⁿ⁻ᵃ

where n is the sample size,

p is the probability of success never been married,

and k is the number of men who have never been married.

P(X = 13)

= (⁴⁰C₁₃) × 0.25¹³ × (1 - 0.25)⁴⁰⁻¹³

= 0.137

The probability that exactly thirteen men were never married is 0.137.

Blank 4,

The probability of ten or fewer men who have never been married can be calculated using the cumulative binomial probability formula,

P(X ≤ k) = [tex]\sum[/tex]ⁿCₓ × pˣ (1 - p)ⁿ⁻ˣ   for x = 0 to k

where n is the sample size,

p is the probability of success never been married,

and k is the maximum number of men who have never been married.

P(X ≤ 10) = ∑⁴⁰Cₓ × 0.25ˣ × (1 - 0.25)⁴⁰⁻ˣ  for x = 0 to 10

⇒ P(X ≤ 10) = 0.056

The probability that ten or fewer men were never married is 0.056.

Blank 5,

probability of 21 were married

= (⁴⁰C₂₁) × 0.75²¹ × (1 - 0.75)⁴⁰⁻²¹

= 131,282,408,400 × 0.00282475249 ×  0.000000009313

=0.3188

Therefore, the probability for different conditions are,

Mean of the man never married =10.

Standard deviation never married =2.7

probability of exact 13 men never married = 0.137.

probability of ten or fewer men never married = 0.056.

probability of 21 were married = 0.3188

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The translations to each graph are described as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Hence the meaning of each operation is given as follows:

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Answer: 0.525

Hope this helps. Have a nice day!

The equation of a line that is parallel to y = 12x + 6 is of the form:

y = 12x + b

The relationship between the coordinates of each point (x, y) on a line is represented by the equation of a line, which is linear in the variables x and y. All of the points on the line satisfy the equation, in other words.

A line is parallel to the line y = 12x + 6 if and only if it has the same slope as the given line.

The slope-intercept form of the equation of a line is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Since the given line y = 12x + 6 has a slope of 12, any line that is parallel to it must also have a slope of 12. Therefore, the equation of a line that is parallel to y = 12x + 6 is of the form:

y = 12x + b

where b is any constant.

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Triangles ABC and MNO are congruent with each other using Side Side Side Rule of Congruency.

There are four rules of congruency of two triangles.

The rules are:

RHS: where in two right angled triangles, right angle, hypotenuse and another length of side are equal, so they are said to be congruent.

SSS: where in any two triangles if each three sides of a triangle are equal to corresponding sides of another triangle then that triangles are called congruent.

SAS: In two triangles, two sides and angle between them are equal for one triangle to another, so the triangles are said to congruent,

AAS: In two triangles, two angles and one side are equal for one triangle to another, so the triangles are said to congruent,

Here in the picture given that, in triangle ABC and triangle MNO,

AC = MO

AB = NO

BC = MN

So the triangles ABC and MNO are congruent with each other using Side Side Side Rule of Congruency.

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The value of [tex]cos(2\theta) = -527/625.[/tex]

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

We know that:

[tex]cos(2\theta) = 2cos^2(\theta) - 1[/tex]

First, we need to find cos^2(a). We can do this by squaring both sides of the given equation:

[tex]cos^2(\theta) = (7/25)^2 = 49/625[/tex]

Now, we can substitute this value into the equation for cos(2a):

[tex]cos(2\theta) = 2(49/625) - 1Simplifying:cos(2\theta) = 98/625 - 625/625cos(2\theta) = -527/625[/tex]

Therefore, The value of [tex]cos(2\theta) = -527/625.[/tex]

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The area of the shaded part is 704mm²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The area of the shaded part = area of the whole shape - area of the unshaded part

Area of the whole shape = l×w

= 54 × 16

= 864mm²

Area(1) of the unshaded part = 1/2bh

= 1/2 ×16×8

= 64mm²

Area( 2) of the unshaded part = 1/2bh

= 1/2 ×8 × 8

= 32mm²

Area(3) of the unshaded part = l×w

= 8×8 = 64mm²

therefore the total area of the unshaded part =

64+32+64 = 160mm²

therefore the area of the shaded part = 864-160 =

704mm²

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Completing the table using the rounded values showing the relative frequencies is as follows:

Column Relative Frequency Table

                            Men         Women        Total

January - June    25%            25%             25%

July - December 75%             75%             75%

Total                   100%           100%           100%

Relative frequency shows the quotient between the number of events and the total number of possible events occurring.

The quotient of relative frequency is expressed over 100 to show the result in percentage terms.

Frequency Table

                            Men   Women    Total

January - June      21           19         40

July - December  62          58        120

Total                     83          77         160

Column Relative Frequency Table

                            Men                Women           Total

January - June    25% (21/83)     25% (19/77)        25% (40/160 x 100)

July - December 75% (62/83)     75% (58/77)       75% (120/160 x 100)

Total                   100%                100%                  100% (160/160 x 100)

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Answer:

50%

Step-by-step explanation: