Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.
P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
What is the probability of the complement of Event A?

A) 1.00
B) 0.55
C) 0.10
D) 0.45

Answer:

50

Step-by-step explanation:

15 is 30% of 50

Answer:

1st option

Step-by-step explanation:

given 2 sides of a triangle then the third side s is in the range

difference of 2 sides < s < sum of 2 sides , that is

10 - 8 < s < 10 + 8

2 < s < 18

30-degree is the smallest value of the \(\theta\\\).

If sin(θ) = 1/2 and 0° < θ < 180°, then we know that θ is an acute angle in the first or second quadrant of the unit circle, since sine is positive in those quadrants.

To find the value of θ, we can use the inverse sine function (sin^-1) on both sides of the equation:

\(sin^{-1}(sin(\theta)) = sin{^-1}(1/2)\)

θ = 30° or 150°

Since 0° < θ < 180°, the smaller value of θ is 30°.

Therefore, the smaller value of θ is 30°.

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The prime of the set  is  mathematically given as

A' {e,h,i,j,k}

This is further explained below.

Generally, Mathematically speaking, "set theory" refers to the study of well-defined groups, or "sets," of individual things that are collectively referred to as "members" or "elements" of the set. Because sets are the only topic of discussion in pure set theory, the only sets that may be taken into account are those that include other sets as members.

Assigned the letter A (A prime), The components that are included in the Universal set but are absent from Set A are denoted by the letter A'.

In conclusion, the prime of the set  is  mathematically given as

A' {e,h,i,j,k}

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CQ

Let U={e,f,g,h,i,j,k} and A={f,g}

find A'

Answer:

z= -1

Step-by-step explanation:

Answer:

106 degrees

Step-by-step explanation:

Since all the angles add up to 360 degrees we can find the value of x first and then substitute that value into angle VUX (12x+10)

11x + 1 + 12x + 10 + 75 + 90 = 360

23x + 176 = 360

23x = 184

x = 8

when x = 8,

<VUX = 12x + 10 = 12(8) + 10 = 106 degrees

Answer:

∠VUX = 106º

Step-by-step explanation:

Once the Quadrilateral add up to 360,

\(360\º=90\º+11x+1+75\º+12x+10\\360\º=176\º+23x\\8\º=x\)

The measure of ∠VUX is \(12x+10\)

Once \(x=8\º\)

\(12(8)+10\\106\)

Answer:

31.4

Step-by-step explanation:

x=18/sin35

x= 31.38

=31.4(nearest tenth )

Answer:

816 = 10.2%

Step-by-step explanation:

800 x (1 + 0.02)1

800 x (1.02)1

800 x 1.02

Accumulated Value = 816

10.2%= of 8000 = 816

There's a calculator that should help you with this problem, just go to your G O O G L E and type in Prime Factorization Calculator. There should be a box with 100 in it, just click it and type in 24. It should give you the answer or if not:

Factors of 24: 2, 2, 2, 3.

24 = 2 × 2 × 2 × 3

= 2³ × 3

Answer: 22*0.105=  2.31  

The cost of 150g of nuts is $ 3.30 dollars

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The cost of nuts per kilogram is = $ 22

Let the cost of nuts for 150g be = A

Now ,

1 kilogram = 1000 gram

The cost of 1 gram of nuts is calculated by =
The cost of nuts per kilogram / 1000

The cost of 1 gram of nuts = 22 / 1000

                                           = 0.022

And , the cost of 150 gram of nuts A = The cost of 1 gram of nuts x 150

                                                            = 0.022 x 150

                                                            = $ 3.30

Hence , the cost of 150 gram of nuts is $ 3.30

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The lower estimate for the integral of TM(x) over the interval [-10, 30] is 44, and the upper estimate is 96.

Based on the given table, we have the following values:

x: -10, 18, 22, 26, 30

TM(x): -1, 2, 4, 7, 9

To find the lower and upper estimates for the integral of TM(x) with respect to x over the interval [-10, 30], we can use the lower sum and upper sum methods.

Lower Estimate:

For the lower estimate, we assume that the function is constant on each subinterval and take the minimum value on that subinterval. So we calculate:

Δx = (30 - (-10))/5 = 8

Lower estimate = Δx * min{TM(x)} for each subinterval

Subinterval 1: [-10, 18]

Minimum value on this subinterval is -1.

Lower estimate for this subinterval = 8 * (-1) = -8

Subinterval 2: [18, 22]

Minimum value on this subinterval is 2.

Lower estimate for this subinterval = 4 * 2 = 8

Subinterval 3: [22, 26]

Minimum value on this subinterval is 4.

Lower estimate for this subinterval = 4 * 4 = 16

Subinterval 4: [26, 30]

Minimum value on this subinterval is 7.

Lower estimate for this subinterval = 4 * 7 = 28

Total lower estimate = -8 + 8 + 16 + 28 = 44

Upper Estimate:

For the upper estimate, we assume that the function is constant on each subinterval and take the maximum value on that subinterval. So we calculate:

Upper estimate = Δx * max{TM(x)} for each subinterval

Subinterval 1: [-10, 18]

Maximum value on this subinterval is 2.

Upper estimate for this subinterval = 8 * 2 = 16

Subinterval 2: [18, 22]

Maximum value on this subinterval is 4.

Upper estimate for this subinterval = 4 * 4 = 16

Subinterval 3: [22, 26]

Maximum value on this subinterval is 7.

Upper estimate for this subinterval = 4 * 7 = 28

Subinterval 4: [26, 30]

Maximum value on this subinterval is 9.

Upper estimate for this subinterval = 4 * 9 = 36

Total upper estimate = 16 + 16 + 28 + 36 = 96

Therefore, the lower estimate for the integral of TM(x) with respect to x over the interval [-10, 30] is 44, and the upper estimate is 96.

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Answer:

Step-by-step explanation:

a=graph

b= x=2

Answer:

(5x - 4) = 2(2x + 1)

Step-by-step explanation:

Since Ancilla is twice as old as Christabel

Ancilla's age (5x - 4) is twice Christabel (2x + 1) so,

(5x - 4) = 2(2x + 1)

Answer:

A

Step-by-step explanation:

hope this helps

The union of two sets is to avoid counting the same elements twice.

The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.

Given union of set

(A ∪ B),

The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.

let us take example,

A = { 1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

(A ∪ B) = { 1, 2, 3, 4} ∪  {3, 4, 5, 6, 7}

we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.

(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}

Hence the  union of two sets is a set that contains all the elements of both set and avoid duplicates.

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The volume of the sphere with a diameter of 22 rounded to the nearest tenth is approximately 5575.3 cubic units.

Rounded to the closest tenth, the volume of a sphere with a 22 diameter

The following is the formula for a sphere's volume:

\(V = (4/3) \times pi \times r^3\)

where r denotes the sphere's radius.

Since the diameter of the sphere is given as 22, we can find the radius as:

r = d/2 = 22/2 = 11

Now, substituting this value of r into the formula for volume, we get:

\(V = (4/3) \times pi \times 11^3\)

V ≈ 5575.27976

Rounding this to the nearest tenth, we get:

V ≈ 5575.3

Therefore, the volume of the sphere with a diameter of 22 rounded to the nearest tenth is approximately 5575.3 cubic units.

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Answer:

Step-by-step explanation:

The area of a triangle is given by the formula:

● A = (b×h)/2

b is the base and h is the heigth.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Draw the heigth. This gives you two small right triangles.

Let's focus on the right one containing 45°.

● sin 45° = h/8

● h = sin 45° × 8 = 4√(2)

■■■■■■■■■■■■■■■■■■■■■■■■■■

Replace h by its value in the area formula. The base is 17

● A = (17× 4√(2))/ 2

● A = 34√(2)

● A = 48.08

Round to the nearest unit

● A = 48

Answer:

Area = 48 sq. units

Step-by-step explanation:

will make it short and simple.

area of a triangle = 1/2 * a * b * sinФ

area = 1/2 * 17 * 8 * sin(45°) = 48 sq. units

Answer:

8n is the same as 8 times a number.

That means...

Continuation:

\(8 * n = 128\)

\(128 \div 8 = n\)

\(128 \div 8 = 16\)

Therefore, n is 16.

The angular acceleration of the ladder when the floor suddenly becomes frictionless is equal to the acceleration due to gravity, 9.8 m/s2.

This is because when the angular acceleration is directly proportional to the force acting on the object and inversely proportional to the moment of inertia of the object. When the ladder is placed on a frictionless surface, the ladder would continue to fall down due to the gravitational force. As there is no friction to oppose the motion, the angular acceleration of the ladder as it begins to fall is equal to the acceleration due to gravity, which is 9.8 m/s^2, the only force acting on the ladder is the force of gravity.

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The shorter piece of wire is 8 cm long when the total length of the wire is 19 cm long.

We are given that:

a wire's length is 19 cm.

We have to cut the wire into two pieces.

We are also given that the longer piece of wire is 3 cm longer than the shorter piece.

Let the shorter piece of wire be x cm

Longer piece = x + 3 cm.

So, the equation formed will be:

x + x + 3 cm = 19 m

2 x + 3 cm = 19 cm

2 x cm = 19 cm - 3 cm

2 x cm = 16 cm

x = 16 / 2 cm

x = 8 cm.

Therefore, the shorter piece of wire is 8 cm long.

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If lisa is on her way home in her car, she has driven 24 miles so far, which is three-fourths of the way home, Lisa's total drive is 32 miles.

Let's represent the total length of Lisa's drive as x. We know that she has driven 24 miles so far, which is three-fourths of the total length. We can write this information as:

24 = (3/4) x

To find x, we need to isolate it on one side of the equation. We can start by multiplying both sides by 4/3 to get rid of the fraction:

24 * (4/3) = x

Simplifying, we get:

32 = x

We can say that Lisa has already driven 24 miles, which is three-fourths of the total distance. To find the total distance, we use the equation 24 = (3/4) x, where x represents the total distance.

To solve for x, we multiply both sides of the equation by 4/3 to cancel out the fraction, giving us 32 = x. Therefore, Lisa's total drive is 32 miles.

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Answer:

Step-by-step explanation:

i don't see a statement but use 7 i guess

The reflexive closure of r is {(a, b) ∣ a ≠ b} ∪ {(a, a) ∣ a ∈ integers}.

The reflexive closure of a relation is the smallest reflexive relation that contains the original relation. In this case, the original relation is {(a, b) ∣ a ≠ b} on the set of integers.

To find the reflexive closure, we need to add pairs (a, a) for every element a in the set of integers that is not already in the relation. Since a ≠ a is false for all integers, we need to add all pairs (a, a) to make the relation reflexive.

Therefore, the reflexive closure of r is {(a, b) ∣ a ≠ b} ∪ {(a, a) ∣ a ∈ integers}. This reflexive closure ensures that for every element a in the set of integers, there is a pair (a, a) in the relation, making it reflexive.

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Answer:

twice

Step-by-step explanation:

y = - 1 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of - 1

Drawing this line on the graph, from (0, - 1 ) we can see that it will intersect the graph at 2 places between (0, 0 ) and (2, - 2 ) and between (2, - 2 ) and (4, 0 )

The true statements are: (A), (D), (E) and (F).

Statement A is true. A triangle is said to be isosceles if its two sides are of equal length. Considering the triangle STU, the sides ST and TU are the radius of the same circle centered at T and hence of same length. So triangle STU is isosceles.

Statement B is false. In triangle STU, ST and TU being radii of circle T, are equal. But the third side SU is not a radius of any circle in the diagram and so not equal to ST and TU. Since three sides are not of same length, triangle STU is not an equilateral triangle.

Statement C is false. In Triangle STU two sides are composed of a single radii and not of two radii. The third side is not composed of radii.

Statement D is true. In triangle STU, two sides are radii of circle T but the third side, segment SU, is not a radius of any circle shown in the diagram.

Statement E is true. In triangle VWZ, each side is composed of 2 radii which are of same length. Hence three sides are equal and so it is an equilateral triangle.

Statement F is true. Each side of triangle VWZ is composed of two radii that have the same length.

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Answer:

A=9

C=9

B=18

\(d = 9 \sqrt{3 } \)

Answer:

Area = 90

Equation:

See attached image for equation.

Answer:

I can't see the photo you linked its black and blank.

Step-by-step explanation:

Answer: where the pic at

Step-by-step explanation:

Answer:

20% and Rate

Step-by-step explanation:

percent is associated with "is" ex (18 is what)

base is associated with "of" ex( of 90)

Rate is (what percent)

you are missing the rate

P=B*R

18=90*R

18=90*R

18/90=(90*R)/90

0.2=R

0.2*100 =20%