a fair coin is tossed 26 times. in how many outcomes does at least 1 head occur?

Answer:

angle PSQ=25°

Step-by-step explanation:

angle RQS=angle PSQ.......... alternate angle

so angle PSQ=25°

Answer:

25 degrees

Step-by-step explanation:

If it is a parallelogram, then the sides PS and QR will be parallel, then ∠PSQ and ∠RQS are alternate interior angles, and hence they will be congruent. That is, ∠PSQ ≅ ∠RQS = 25°.

But this is not the confirmation that this would be parallelogram as it could be trapezoid. The given condition is must but not sufficient to prove it.

Hope this helps. Do mark me as BRAINLY. thanks

Answer:

The mean is 3

Step-by-step explanation:

Answer:

\(Slope = \dfrac{9}{2}\)

Step-by-step explanation:

The general equation of a line in slope-intercept form is

y = mx + b

where m = slope and b = y-intercept is rise over run

\(m = \dfrac {(y_{2} - y_{1})} {(x_{2} - x_{1})}\)

where (x₁, y₁) and (x₂, y₂) are any two points on the line

For the line passing through (2, 5) and (0, -4) , the slope

\(m = \dfrac{-4 - 5}{0 - 2}\)

\(m = \dfrac{-9}{-2}\)

\(m = \dfrac{9}{2}\)

In decimal that would be m = 4.5

Marginal relative frequency of customers liking hamburgers is 53.66%, calculated by dividing 110 customers by 205, resulting in a value of 0.5366.

To find the marginal relative frequency of all customers that like hamburgers, we need to divide the number of customers who like hamburgers by the total number of customers.

According to the given data, there are 110 people who like hamburgers out of a total of 205 people.

Marginal relative frequency of customers who like hamburgers = (Number of customers who like hamburgers) / (Total number of customers)
= 110 / 205

To calculate the exact value, we divide 110 by 205:
Marginal relative frequency of customers who like hamburgers = 0.5366

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 0.5366 or 53.66%.

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1/6 + 5/8

First find the lcm of 6 and 8

l c m of 6 and 8 =24

convert each fraction to its equivalent with 24 as its denominator

That is;

1/6 = 4/24

5/8 = 15/24

Then add

4/24 + 15/24

= 19/24

The original house has 70 square feet of flooring.

If the ratio of the miniature house to the original structure is 2:35, then we can say that the miniature house is 2/35th the size of the original house in terms of floor area. Let's assume that the original house has x square feet of flooring. Then, we can set up a proportion based on the ratios:

2/35 = 4/x

Solving for x, we get:

x = 70

Therefore if the ratio of ambers miniature house to the original structure is 2:35 and the miniature requires 4 square feet of the flooring then original house has 70 square feet of flooring.

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The longest side of the triangular deck will have approximately 50.8800 feet, rounded to the nearest ten-thousandth.

A 45° - 45° - 90° triangle has sides in the ratio of 1:1:√2. Since one leg measures 36 feet, the length of the hypotenuse (the longest side) can be found by multiplying the length of a leg by √2:

36 * √2 = 36 * 1.41421356 = 50.8800

Therefore, it is concluded that the longest side of the triangular deck will measure approximately 50.8800 feet, rounded to the nearest ten-thousandth.

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Answer:

x+27

Step-by-step explanation:

7(x+3)-3(2x-2)=

(distribute)

7x+21-6x+6=

(combine like terms)

x+27

Answer:

(7/4)(2)(2)=7

Step-by-step explanation:

Answer:

z = 1.75xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition z = 7 when x = 2 and y = 2, then

7 = k × 2 × 2 = 4k ( divide both sides by 4 )

1.75 = k

z = 1.75xy ← equation of variation

Answer:

6 in.

Step-by-step explanation:

Rectangular prism

V = lwh       l = 8   W = 3    h = 9

  = 8(3)(9)

  = 216

Cube

\(V = s^{3}\)   where s = length of side

216 = \(s^{3}\)

\(s = \sqrt[3]{216}\)  = 6

The coordinates of upper R prime are  (-2, 4).

Now, According to the question:

Rotation describes the circular motion of an object around its center. There are different ways things can rotate. Rotation of the Earthre. A very familiar kind of rotation is when a spherical, three-dimensional object turns around an invisible line inside its center.

The sails center of rotation is the origin (0,0)

The top of one sails point R(2, -4).

A 180 degree rotation make you turn (x, y) into (-x, -y),

So, the point  turn (2,-4 ), into (-2, 4).

Therefore the coordinates of R are  (-2, 4).

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Answer:

A. y=-5/3x+1

Step-by-step explanation:

By applying Algebraic fractions simplifying concept, it can conclude that the simplified expression is - (9p + 3) / q.

Algebraic fractions simplifying can be done by factoring the quantifier and denominator, then dividing by the common factors of the quantifier and denominator.

We have the following algebraic fraction:

((9p² - 1) / (pq - 2q)) / (1 - 3p) / (3p - 6)

To simplify this expression, we will do the following steps:

First, we apply the division rule: (a/b) / (c/d) = ad / bc:

    ((9p² - 1) / (pq - 2q)) / (1 - 3p) / (3p - 6)

⇔ ((9p² - 1) (3p - 6)) / ((pq - 2q) (1 - 3p))

Then we find the factors of (9p² - 1), that are (3p - 1) (3p + 1):

⇔ ((3p - 1) (3p + 1) (3p - 6)) / ((pq - 2q) (1 - 3p))

Factor other expressions that are not already factored in:

⇔ ((3p - 1) (3p + 1) 3 (p - 2)) / (q (p - 2) (1 - 3p))

Now we cancel the common factor (p - 2), so we have:

⇔ (3 (3p - 1) (3p + 1)) / (-q (3p - 1))

Then we cancel the common factor (3p -1), so we have:

⇔ (3 (3p + 1)) / -q

Finally, we expand the expression:

⇔ - (9p + 3) / q

Thus the simplified expression is - (9p + 3) / q.

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Answer:

ABC = 44°

Step-by-step explanation:

ABD = 96° and EBD = 26°

Since BE bisects CBD, this means that BE cuts the angle in half, so:

CBE = 26° EBD = 26°

Add these two angles and subtract from the entire angle of ABD:

ABD - (CBE + EBD) = ABC

96° - (26° + 26°) = ABC

96° - 52° = 44°

ABC = 44°

Rewrite 13/5 as 26/10

Add the two pieces together:

26/10 + 33/10 = 59/10

Rewrite 7 meters as 70/10

Subtract the two pieces:

70/10 - 59/10 = 11/10 meter left

Answer:5674

Step-by-step explanation:

The expression that fails to compute the area of a triangle correctly is option b: (1 / 2) * b * h.

The correct formula to compute the area of a triangle is one-half times the base multiplied by the height, which can be written as (1/2) * b * h. Option a, c, and d correctly represent this formula. However, option b is incorrect because it uses integer division instead of decimal division.

In option b, (1 / 2) is computed using integer division, which results in truncating the decimal part. Therefore, (1 / 2) evaluates to 0 instead of 0.5. As a result, the expression (1 / 2) * b * h would yield incorrect and significantly smaller results than the actual area of the triangle.

To accurately calculate the area of a triangle using this formula, it is essential to use decimal division or explicitly represent the fraction as a decimal. Options a, c, and d correctly account for this by using either 1.0/2.0 or 0.5, ensuring the proper calculation of the area.

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Answer:

Step-by-step explanation:

Answer:\(98.13\ \text{or}\ 261.87^{\circ}\)

Step-by-step explanation:

Given

\(\cos \beta =-\dfrac{\sqrt{2}}{10}\)

As the value of cosine is negative, therefore the angle must lie in II or III quadrant

\(\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}\)

Answer:a)EF congruent to QR

Step-by-step explanation:

Answer:

Given that the question rightly asks the amount it cost to drive from Smithville to Jones City, we have;

The question rightly asks the amount it cost to drive from Smithville to Jones City is approximately $7.209

Step-by-step explanation:

The coordinates of Smithville is (-25, 10)

The coordinates of Jones City is (15, 12)

The cost of driving a car for a mile = $0.18

Therefore, the distance from Smithville to Jones City is given by the formula for the distance, l, between two points with coordinates as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Where;

(x₁, y₁) = (-25, 10) and (x₂, y₂) = (15, 12)

\(l = \sqrt{\left (12-10 \right )^{2}+\left (15-(-25) \right )^{2}} = 2 \cdot \sqrt{401}\)

The distance from Smithville to Jones City = 2·√401 ≈ 40.05 miles

The amount, A, it cost to drive from Smithville to Jones City a distance of approximately 40.05 miles is therefore given as follows;

A = 40.05 miles × $0.18 ≈ $7.209

The cost of a pair is D) $15 for shorts.

To solve this problem, we need to set up a system of equations based on the information given for both Stephanie and Ashley's purchases. Let T be the cost of a t-shirt and S be the cost of a pair of shorts.

For Stephanie's purchases, we have:

\(2T + 3S = 105\)

For Ashley's purchases, we have:

\(3T + 2S = 95\)

Using matrices, we can solve this system of equations by setting up the augmented matrix and using row operations:

[2 3 | 105]

[3 2 | 95]

After row operations, we get:

[1 0 | 15]

[0 1 | 25]

Therefore, the cost of a pair of shorts is $15.

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An easement enabling its holder to prevent the possessor of the land subject to the easement from doing certain acts or exercising certain rights of ownership is known as a negative easement.

A negative easement grants the holder the right to restrict or prohibit specific activities on the land, even though the possessor of the land would otherwise have the legal right to engage in those activities. It imposes limitations on the use or enjoyment of the land by the possessor.

For example, a negative easement may prohibit the landowner from building any structures that would obstruct the view of the neighboring property or from engaging in any activities that would cause excessive noise or pollution. The holder of the negative easement, such as a neighboring property owner or a conservation organization, can enforce these restrictions to protect their interests or preserve certain conditions.

Negative easements are typically established through legal agreements or by court decisions. They serve to balance the rights of the landowner with the interests of the easement holder, allowing for the protection of specific rights or conditions associated with the land.

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Answer:4

Step-by-step explanation:

Total cost  to tile the kitchen =$273.78

Let the width of kitchen = w

The length of the kitchen is nine feet shorter than three times its width, w  = 3 w-9    equation-----1

The perimeter of the kitchen is six times the width = 6 w

= 2(length+width) =6 w    equation----2

from equation 1 and 2

= 2(3 w-9+w) = 6 w

= 6 w-18+2 w = 6 w

   2 w = 18

   w = 9

Length = 3 w-9

length  = 3×9-9

length  = 18

Area of kitchen = length×width

                          = 18×9

                          = 162 square foot

Cost of tiles per square = $1.69

Total cost  to tile the kitchen = Area of kitchen × cost of tiles per square

                                                = 162×$1.69

                                                =$273.78

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If the tiles cost $1.69 a square foot, the total cost to the tiles of the kitchen is $273.28.

According to the question:

Let the width be = x

Then, the length of the rectangular kitchen is L = 3x - 9

The perimeter is = 6x

It is given that the cost of the tile = $1.69 a square foot.

Then the total costs of tiles the kitchen is :

The Perimeter of the rectangle =  2(L + b)

The Perimeter of the rectangle =  2(3x - 9 + x)

The Perimeter of the rectangle =  2(4x-9)

We know that, according to the question,

the perimeter of the kitchen is six times the width = perimeter of rectangle

⇒ 6x = 8x - 18

⇒ - 2x = - 18

⇒ x = 18/2

⇒ x = 9

Thus, the width = x = 9 feet

Putting the value of x = 9

then, The length = 3x - 9 = 3(9) - 9

the length = 27 - 9

the length = 18 feet

Therefore, as we know that,

Area = Length × Width

Area = (18 × 9) feet  

Area =   162 square feet.

Now,

Cost of a Tile = $1.69 per sq. ft.

Thus,

Total Cost of tile = $1.69 × 162

Total Cost of tile =  $273.28

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Answer:

1. 75

\( \frac{75 }{1} \times \ \frac{120}{100} = 15 \times 6 \\ \\ = 90\)

2.

\( \frac{20}{1} \times \frac{50}{100 } \\ = 10\)

3.

\( \frac{25}{100} \times \frac{90}{1} \\ = 22.5\)

4.

\( \frac{20}{1} \times \frac{200}{100} \\ = 40\)

5.

\( \frac{35}{1} \times \frac{50}{100} \\ = 17.5\)

6.

\( \frac{17}{1} \times \frac{65}{100} \\ = 11.05\)

Hope I'm right

Answer:

  (c)  $31.75

Step-by-step explanation:

First of all, you need to use some number sense to estimate an answer.

If the $900 loan had no interest, 1/3 of it would be paid off in each of the 3 years, or about $300 each year. You will be making 12 monthly payments each year, so the amount of principal being paid with each payment is $300/12 = $25. Any answer much above this amount will not make sense, so you can immediately reject all choices except $31.75.

__

The simple interest on the loan is ...

  I = Prt = $900×0.09×3 = $243

That, too, is divided among the 36 payments, so adds ...

  $243/36 = $6.75 to each of the $25 payments we calculated above.

The monthly payment is ...

  $25 +6.75 = $31.75

Answer:

x = 64

Step-by-step explanation:

2x = 128

x = 64

Answer:

hi

Step-by-step explanation:

i think so

128⁰+2x⁰=180⁰

2x⁰=180⁰-128⁰

2x⁰=52⁰

x=52/2

x=26⁰

hope it helps

have a nice day