What is the step by step equation and answer?3(2x+1)=18+4x-7

The probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day is 53/64

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C).

The results of the survey are shown in the Venn diagram as,

Therefore, for circle B, it can be given as,

[tex]n(B)=11+53=64[/tex]

Similarly, for the circle C,

[tex]n(C)=53+4=57[/tex]

As the intersection of circle B and C contains 53,

[tex]n(BC)=53[/tex]

Now the probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day,

[tex]P(C|B)=\dfrac{P(BC)}{P(B)}\\P(C|B)=\dfrac{n(BC)}{n(B)}\\P(C|B)=\dfrac{53}{64}[/tex]

Hence, the probability that the person also buys cereal at least once a month, given that a randomly chosen person eats breakfast almost every day is 53/64

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Answer:

C or 53/64

Step-by-step explanation:

Ed2022

Answer:

parallel

Step-by-step explanation:

if two lines are not parallel they will cross eventually at one point meaning they will have a point in common so they must be parallel

Answer:

Step-by-step explanation:

Answer:

As shown, a box-and-whisker plot is a way of summarizing a set of data measured on an interval scale. This type of graph is used to show the shape of the distribution, its central value, and its variability.

Explanation:

100% When I put this in

Answer:

Design 1: $449.45

Design 2: $522.60

Design 3: $318.25

Design 3 as it's the cheapest

Step-by-step explanation:

Design 1

Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)

Given the slanted side = 3.5

Height = √(3.5² - 1²) = (3√5)/2

⇒ area of design 1 = 1/2(5 + 3) × (3√5)/2 = 6√5 = 13.42 m²

⇒ cost = 13.42 x 33.5 = $449.45

Design 2

Area of a triangle = 1/2 x base x height

Area of a rectangle = width x length

Area of a 6-sided regular polygon = 4 triangles + rectangle

⇒ area of design 2 = 4(1/2 × 1.4 × 2.0) + (2.5 × 4) = 15.6 m²

⇒ cost = 15.6 x 33.5 = $522.60

Design 3

Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)

⇒ area of design 3 = 1/2(3 + 2) × 2 + 1/2(3 + 1.5) × 2 = 9.5 m²

⇒ cost = 9.5 x 33.5 = $318.25

Constant 'k' has the value in the form of factored after factorization, the provided polynomial equation is 2.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

[tex]8x^3 +6x^2 - 32x - 24[/tex]

The factor of the polynomial equation are given as,

[tex]2(x+ k)(x - k)(4x +3)[/tex]

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (8, 6, -32, -24). Thus,

[tex]2(x+ k)(x - k)(4x +3)=2(4x^3 +3x^2 - 16x - 12)[/tex]

Take out the highest common factor to make the groups as,

[tex]2(x+ k)(x - k)(4x +3)=2(x^2(4x +3) - 4(4x + 3))\\2(x+ k)(x - k)(4x +3)=2(4x +3) (x^2 -4)\\2(x+ k)(x - k)(4x +3)=2(4x +3) (x^2 -2^2)[/tex]

Use the property of difference of the square for the (x²-2²) term as,

[tex]2(x+ k)(x - k)(4x +3)=2(4x +3) (x +2)(x-2)\\2(x+ k)(x - k)(4x +3)=2(x +2)(x-2)(4x +3)[/tex]

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 2.

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Answer:

C

Step-by-step explanation:

Answer:

20 mins

Step-by-step explanation:

The answer is 20 minutes. If you look at the times it's 11:47 and 12:07. Notice the times end in 7. You would add ten minutes until you get the time, and in the end you have 20 mins.

Hope this helps!

ANSWER:

x° = 24°

y° = 72°

Analysis on picture hope it helps

Step-by-step explanation:

$70*8% ≈ 56

so, 70 - 56 = i14

ihopethishelps

Answer:

84

2 42

2 21

3 7

Step-by-step explanation:

It has total 12 factors of which 84 is the biggest factor and the prime factors of 84 are 2, 3 and 7. The Prime Factorization of 84 is 2^2 × 3 × 7

Answer:

in attachment

Step-by-step explanation:

Answer

she has a 3 out of 11 percent chance aka 3/11

Step-by-step explanation:

There is 1 red meaning there is less of a chance to get that one unless she is lucky same goes with purple! She has 2 brown flip flops so there is more of a chance she may get that one, but 4 pairs of pink flip flops meaning she is more likely to pick pink on Tuesday then Monday. but the answer can be 3/7 if I do not count the others flip flops... but hopefully this helps...

The volume of the dilated prism is calculated to be considering scale factor for the area as well as the height is 7558272 cm³.

The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object).

Given that

The base area of prism = 8 cm²

Height of the prism = 6

Scale factor = 54

So enlarged area =( scale factor )² * previous area = 54²* 8 = 23328 cm²

Enlarged height = 54*6= 324 cm

Enlarged volume = enlarged area* enlarged height = 7558272 cm³

Thus, the volume of the dilated prism is 7558272 cm³.

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Answer:

d= 66

Step-by-step explanation:

1- Calculate diameter of the circle

Answer:

Step-by-step explanation:

Hope it helps!!!

The graph of the equation y = m^x passes through the point (1, m)

Given the equation of a graph expressed as y = m^x

We need to determine the coordinate point that lies on this graph.

If x = 1, substitute into the formula to have:

y =m^1

y = m

Hence the required coordinate will be (1, m)

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Answer:

10 1/3

Step-by-step explanation:

you ar esupposed to add the fractions first.if the fraction is improper(4/3), another number is added to the whole number.finally you ad the whole numbers to get your answer

hope it helps:)

Answer:

Answer: 10 1/3

Jonathan first got the steps right, however, he was incorrect because he added the denominators together. Since the two denominators are the same, the sum will also have a denominator of 3, not 6. In his other steps, he was correct; 7 + 2 = 9, 2 + 2 = 4. Thus, making 9 4/3 or 10 1/3.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{a^6b^3}[/tex]

Step-by-step explanation:

Because every term here is multiplied, simply count the number of 'a's and 'b's.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

V=πr2h=π·22·4≈50.26548

Step-by-step explanation:

the first step is to get a radius that is 1/2 of diameter. So 4/2=2, r=2

then pi x 2^2 x 4 which gets you 50.265 or 20.27 if you round it

The fifth term of the sequence is -15

Given the following recursive functions

[tex]a_1=13\\a^n=a^{n-1}- 7 .[/tex]

For the second term:

a2 = a1 - 7

a2 = 13 - 7

a2 = 6

For the third term:

a3 = a2 - 7

a3 = 6 - 7

a3 = -1

For the fourth term:

a4 = a3 - 7

a4 = -1 - 7

a4 = -8

For the fifth term:

a5 = a4 - 7

a5 = -8 - 7

a5 = -15

Hence the fifth term of the sequence is -15

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Answer:

A

Step-by-step explanation:

8294/286

There is an open circle on –6. 5 and the arrow points to the right. The correct options are A and E.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

The given expression is [tex]\rm x > -6.5[/tex].

It means the value of x is more than -6.5.

Since the sign of equality is not there in the equation then at -6.5 will be an open circle. And the arrow points to the right.

The graph is shown below.

More about the inequality link is given below.

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Answer:

well the answer is

It can be deduced that the price-response function associated with the situation will be P = MWTP =  -e⁻ λ.

A function, in mathematics, is a relationship that exists between one variable that is, the independent variable and the dependent variable.

When the willingness-to-pay distribution of a product is a negative exponential distribution with parameter λ, the price-response function associated with it will be:

dWTP/dλ = -e⁻ λ

P = MWTP =  -e⁻ λ

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We are provided that [tex]{\sf \sin (64^{\circ})=p}[/tex] and we have to find the value of [tex]{\sf 8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})}[/tex] . But let's recall a identity which is gonna be very helpful to do this question i.e

Now , coming back on the question ;

[tex]{:\implies \quad \sf 8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})}[/tex]

[tex]{:\implies \quad \sf 4\{ 2\sin (16^{\circ})\cos (16^{\circ})\}\cos (32^{\circ})}[/tex]

Using the above identity ;

[tex]{:\implies \quad \sf 4\sin (32^{\circ})\cos (32^{\circ})}[/tex]

[tex]{:\implies \quad \sf 2\{2\sin (32^{\circ})\cos (32^{\circ})\}}[/tex]

Again using the same identity ;

[tex]{:\implies \quad \sf 2\sin (64^{\circ})}[/tex]

Putting the given value of [tex]{\sf \sin (64^{\circ})}[/tex]

[tex]{:\implies \quad \sf 2p}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})=2p}}}[/tex]

Proof of the above identity :-

We know that ;

[tex]{\quad \boxed{\sf \sin (A\pm B)=\sin (A)\cos (B)\pm \cos (A)\sin (B)}}[/tex]

So ;

[tex]{:\implies \quad \sf \sin (A+ B)=\sin (A)\cos (B)+\cos (A)\sin (B)}[/tex]

Putting [tex]{\sf A=B=\theta}[/tex] ,

[tex]{:\implies \quad \sf \sin (\theta+ \theta)=\sin (\theta)\cos (\theta)+\cos (\theta)\sin (\theta)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\sin (2\theta)=2\sin (\theta)\cos (\theta)}}}[/tex]

Hence , Proved :D

Answer:

B.  g(x) = (2x)^2

Step-by-step explanation:

See attached image.

The graph of the function g ( x ) = ( 2x )² is plotted

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

Now , the graph of the function is g ( x )

where g ( x ) = 4x²

And , the point P ( 1 , 4 ) lies on the graph

when x = 1

g ( 1 ) = 4

Hence , the graph is plotted and g ( x ) = 4x²

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Answer:

Your question is unclear as to which product you're looking for, the dot product or the cross product, so I'll answer for both.

The i and j notations for vectors refer to their coordinates, e.g. a vector that is 2i+3j is one that moves 2 units in the x-direction and 3 units in the y-direction. This can also be notated as (2, 3), and that's the notation I'll be using in this answer to keep things simple.

In order to get either product, we have to do the subtraction in parentheses first:3v - 4w = 3 * (2, -2) - 4 * (0, -2). When multiplying a vector by a scalar number, you just multiply the coordinates by the scalar, so this becomes (6, -6) - (0, -8). Performing this subtraction by subtracting corresponding coordinates, we get 3v - 4w) = (6, 2). Also, 5u = 5 * (-3, 2) = (-15, 10).

Now, the dot product of two vectors is a scalar quantity. The dot product of the two vectors (-15, 10) • (6, 2) is the sum of the products of the corresponding coordinates. This is -15 * 6 + 10 * 2, which is -90 + 20, and that is -70.

Step-by-step explanation:

Answer:

77.8

Step-by-step explanation:

In terms of theorems, no I cannot recall right now. the angle opposite of the side in this case C is 77.8

if you were to find both angles on a straight line it's be 180. basically really easy to find all angles

Answer:

76.92%

Step-by-step explanation:

Green: 5

Orange: 5

Yellow: 3

First: 5 + 5 + 3 = 13

Now we need to find the probablility of picking an orange or green marble.

We need to divide the number of green and orange marbles put together by the total, 13.

10/13 = 76.92%

You have a 76.92% chance of picking either a green or orange marble.

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