Solve the following equation for x

This is possible but fantastically unlikely. A simple random sample of 62 people from the county would be unlikely to produce a distribution of educational levels so different from the county-wide one. The chances of this happening are extremely small.

A simple random sample is a sample drawn from a population in such a way that each member of the population has an equal chance of being selected. In this case, the population is the county, and the sample is the group of 62 grand jurors. When a simple random sample is drawn, it is possible for the sample to be different from the population in various ways.

For example, the sample may have a different distribution of educational levels than the population. However, the larger the sample size is, the more likely it is that the sample will be representative of the population. In this case, the sample size of 62 is relatively small, so it is possible that the sample will be different from the population in terms of educational level. However, the chance of this happening is not very high, since the sample size is not very large.

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Step-by-step explanation:

p = a + 3

Three more a than p

Percentage change in company's sales is  11%

What is percentage?

In arithmetic, a proportion may be a range or magnitude relation expressed as a fraction of a hundred. it's usually denoted victimisation the percentage sign, "%", d. A proportion may be a dimensionless number; it's no unit of measuring.

Main body:

According to the question:

company's sales in year 1 = $330,000

company's sales in year 2 =$367,500

Change = $ 367500 – 330000 = $ 37,500

Percentage change = $ 37500 / $ 330000 = 0.11

Percentage change = 11%

Hence ,Percentage change in company's sales is  11%.

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Brad looks at a scatterplot that shows the correlation between the typical population's access to health insurance and the number of cars owned by each household in different parts of the country. A substantial positive association can be seen in the plot.

What are some examples of scatter plots?

The association between two sets of data is depicted by points on a scatter (XY) plot. Each dot in this illustration represents the weight and height of one individual. (The information is displayed as "Cartesian (x,y) Coordinates")

What is the purpose of a scatter plot?

Data points are plotted on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another.

                 The values of the columns selected on the X and Y axes determine where each row in the data table is represented by a marker, whose position.

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Answer:

No, because [tex]5+6<12[/tex]

Step-by-step explanation:

The side lengths do not satisfy the triangle inequality.

Mr. Keith's semimonthly salary is $16183.25.

What is rounded to the nearest cent?

If the number is five or higher and is to the right of the full cents, increase the cents by one. The cents should remain the same if the number is four or less.

For instance: $143.864. Consider the last digit, 4, since it is less than 5 and the cents should remain the same. Rounding up from $143.864 to $143.86.

Given that the annual salary of Mr. Keith is $64,733.

Semiannual means 4 times in yearly.

Thus divide whole salary by 4 to get semimonthly salary.

Therefore the semimonthly income is  $64,733/4 = $16183.25 (rounded to the nearest cent)

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Using the concept of ratio, the rate at which questions were answered correctly is 0.867 which is option B

Rate can be defined as comparing two or more ratio with a standard value.

The rate of correct answer can be calculated using the ratio between the number of correct answers to numbers of questions answered.

The rate is given as;

rate = 65 / 75

rate = 0.867

The rate of correct answers is 0.867

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Find the Sum, Difference, or Product

1. [tex]3x^2 + 4x -1 - 2x^2 -3x + 2 = x^2 + x + 1[/tex]

2. [tex]12x^5 - 3x^4 + 2x -5+8x^4-3x^3+4x+1 = 12x^5 +5x^4-3x^3+6x-4[/tex]

3. [tex]3x^3 - 2x^2 + 4x-8-5x^3-12x^2+3x+4 = -2x^3-14x^2+7x-4[/tex]

4. [tex]5x^6 - 2x^4 +9x^3+2x-4-7x^5+8x^4-2x+11 = 5x^6-7x^5+6x^4+9x^3+7[/tex]

5. [tex]x^3+3x^2-10x-24[/tex] (Multiply the first two factor, then multiply the product to the last factor)

6. [tex](7h+4)*(7h+4)= 49h^2+28h+28h+16 =49h^2+56h+16[/tex]

Factor the Sum or Difference of Cubes

Sum of Cubes Formula: [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)\\[/tex]

Difference of Cubes Formula: [tex]a^3-b^3 = (a-b)(a^2+ab+b^2)\\[/tex]

Just apply it to the equations.

1. [tex]x^3 + 4^3 = (x+4) (x^2 - 4x+16)[/tex]

2. [tex]c^3 - 3^3 = (c-3) (c^2+3c+9)[/tex]

3. [tex](3d)^3 + 2^2 = (3d+2)((3d^)^2-(3d)(2)+4) = (3d+2)(9d^2-6d+4)[/tex]

4. [tex]5^3-(2b)^3= (5-2b)(5^2+(2b)(5)+(2b)^2) = (5-2b)(25+10b+4b^2)[/tex]

Factor the Polynomials Completely

Nt. I'm having a hard time with this one

1. [tex]x(x-6)(x+4)+24(x-1)[/tex]

2. [tex]2m^4 (m-4)(m-8)[/tex]

3. [tex](6v+7)(3v+2)[/tex]

4. [tex]4n^2(n^5-2)(n^5-6)[/tex]

5. [tex](9a^2-16b)(9a^2+16b)[/tex]

6. [tex](4z^2-25y)(4z^2+25y)[/tex]

Answer:

(-2,-7) , yes

(2,-1) , no

Step-by-step explanation:

the question says y is less than or equal to -2 . In the first order pair (-2,-7) , x= -2 & y = -7 in the number line -2 comes first than -7 it means -2 is grater than -7 so the answer is yes but in the second order pair (2,-1) the value of x is 2 and the value of y is = -1 thus -1 is grater than -2 however the question says y should be less or equal but not greater than -2 so the answer is yes for the first order pair and no for the second one

Answer:

46°

Step-by-step explanation:

As m<UYX and m<W is corresponding angle because X is the midpoint of UV and Y is the midpoint of UW, therefore

m<W = 46°

I hope my answer helps you.

Answer:

m<W = 46 degrees

Step-by-step explanation:

UX = UV/2  ==> This is because X is the mid-point of UV, dividing UV by 2

                           to make UX

UY = UW/2 ==> Y is the mid-point of UW, dividing UW by 2 to make UY

XY = VW/2 ==> Since X is the midpoint of UV and Y is the midpoint of UW,

                          segment XY is exactly in the middle of point U and              

                          segment VW, so segment XY is half of segment VW.

Since all sides of the small triangle(ΔUXY) are exactly half of all sides in the big triangle(ΔUVW), The corresponding angles in each triangle are equal to each other:
Hence,  m<UYX = m<UWV

m<UWV ==> m<W = 46 degrees  ==> since m<UYX=46, m<W = 46 as well

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Examples of a continuous function that is continuous at exactly one point are x=0,1,2,3,4.

In mathematics, a continuous function is one where a continuous variation of the argument results in a continuous variation of the function's value (i.e., a change without a leap). This indicates that there aren't any discontinuities or sudden changes in value. More specifically, a function is continuous if it is possible to guarantee that its value will not vary significantly even with arbitrarily tiny changes to its parameter.

We know that the modulus function,

f(x)=∣x∣ is continuous but not differentiable at x=0.

So,

f(x)=∣x∣+∣x−1∣+∣x−2∣+∣x−3∣+∣x−4∣ is continuous but not differentiable at x=0,1,2,3,4.

Hence, this is the answer.

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You are just couple of steps away from completing the proof.

So far you have concluded that two sides of triangles ZTX and WVY are congruent. You need to complete it for the third side and prove the triangles are congruent. Then use it to complete the proof.

Missing statement and reasons given below.

       Statement                                             Reason                        

The required expression that can be simplified without the conversion of terms is 9.32 × 10 ⁻⁵ + 1.078 × 10⁻⁵. Option A is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
In order to do, no needs to convert terms, so then expression with the same exponent of 10 is the required expression.
So,
= 9.32 × 10 ⁻⁵ + 1.078 × 10⁻⁵
= 10.00 × 10⁻⁵
= 10⁻⁴

Thus, the required expression that can be simplified without the conversion of terms is 9.32 × 10 ⁻⁵ + 1.078 × 10⁻⁵. Option A is correct.

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Answer:

9.32 × 10 ⁻⁵ + 1.078 × 10⁻⁵

Step-by-step explanation:

As per the given inversion, the time independent Schrödinger equation in one dimension is [tex]\frac{-hx^{2}}{2m} \times\frac{d^{2}(x)}{dx^{2} } + U(x)f(x)=Ef(x)[/tex]

The term inversion in math refers a concept in discrete mathematics to measure how much a sequence is out of its natural order.

Here we have given that the potential energy function is given by the following: -a CO r I 2 -a 2 V(r)={ 0, s > a CO < 2}

And we need to find the eigenfunctions must be either even or odd under the same reflection operation.

While we looking into the given question, let us consider E is the total energy of the particle, and U (x) the potential energy function and ψ (x) the spatial part of the wavefunction.

Based on the the function can be written as,

=>  [tex]\frac{-hx^{2}}{2m} \times\frac{d^{2}(x)}{dx^{2} } + U(x)f(x)=Ef(x)[/tex]

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Answer:

28° + 112° + 40° = 180°

Step-by-step explanation:

A Triangle has 3 angles that adds up to 180°

You are given 3 angles already so they must add up to 180°

Equation: n + 4n + 40° = 180°

Simple the equation.

Add the variable n together.

5n + 40° = 180°

Subtract 40 to both sides.

5n = 140°

Divide 5 to both side to solve for n.

n = 28°

Now plug n into our angles to have our angles in degree.

n = 28°

4n = 4×28° = 112°

40°

28° + 112° + 40° = 180°

Answer:

Step-by-step explanation:

The internal angles of a triangle sum 180°

n + 4n + 40 = 180

5n = 180 - 40

5n = 140

n = 140/5

n = 28

Check:

28 + 4*28 + 40 = 180

28 + 112 + 40 = 180

Answer:

variable n = 28°

∡n = 28°

∡4n = 4*28 = 112°

Therefore, the answer to this problem is that the statement is true.

A state diagram is a particular kind of diagram used in computer science and related subjects to represent system behavior. A system must have a finite number of states in order to be represented by a state diagram; sometimes this is the case, and other times it is a valid abstraction.

Here,

Since,

Timing diagrams depict changes during the passage of time, whereas state diagrams depict changes as a result of triggers from other system objects or from external sources.

So ,the above statement is true

Therefore the answer to this problem is that the statement is true.

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Its Taylor polynomial T3(x) for function f with the number an as the center is T 3(x)=(x 2 + 61 x 2 ). 3

Sums of terms with the pattern kxn—where k is any positive integer and n is an arbitrary number—are known as polynomials. A polynomial is something like 3x+2x-5. Polynomials: An introduction In this video, basic terms such terms, degrees, standard form, monomial, binomial, and trinomial are covered. A polynomial is a function that exclusively uses positive integer exponents or non-negative integer powers of a variable in an equation, such as a quadratic or cubic equation. A polynomial with an exponent of 1 is, for instance, 2x+5.

T 3 (x)=f(a) + 1!f ′ (a)(xa) + 2!f ′′(a)(xa) 2 plus 1 3!f ′′′(a)(x−a) 3=0plus 1!−1(x− 2π)+ 2!0(x− 2π) 2 plus 1 3!1​ (x− 2π) 3=−(x− 2π)+ 61\s(x− 2π) 3

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Answer:

where r the points??

Step-by-step explanation:

give them atleast to find the ans.

By applying formulas of logistic growth we can find the answers as part (a) P(t) = 1800 / (1+3e^(-0.8t)) and part(b) 1.37 years

In a logistic growth the growth rate decreases with the passage of time until the growth reaches the maximum capacity at infinite time.

The formula is f(t) = L / (1+ ye^(-kt))

where L is the maximum value, k is the growth rate, y is a constant and t is time.

Part(a)

In this case, L = 1800, k = 0.8 yr-1

f(t) = 1800 / (1 + ye^(-0.8)t)

at t = 0 , f = 450,

450 = 1800/ (1+y)

solving this gives, y = 3

Thus the final answer is f(t) = 1800/ (1+ 3e^(-0.8t))

Part(b)

we need to find the time when f(t) = 900

900 = 1800/(1+3e^(-0.8t))

t = 1.37 years

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Answer:

(a) They paid $25-$15=$<<25-15=10>>10 to make each wreath.

(b) They collected $15114=$<<15114=1710>>1710.

(c) They made $1710-$10114=$<<1710-10114=180>>180.

(d) They sold $180/$15=<<180/15=12>>12 wreaths.

Step-by-step explanation:

Sure, here is a breakdown of the solution:

(a) The cross-country team paid $10 to make each wreath because they sold the wreaths for $25 and made $15 for each wreath they sold, so the cost to make each wreath was $25-$15=$10.

(b) They collected $1710 because they sold 114 wreaths and made $15 for each wreath they sold, so they collected a total of $15*114=$1710.

(c) They made $180 because they collected $1710 and it cost them $10 to make each wreath, and they sold 114 wreaths, so the total cost of making all the wreaths was $10*114=$1140. They made $180 because they collected $1710 and it cost them $1140 to make all the wreaths, so their profit was $1710-$1140=$180.

(d) They sold 12 wreaths because they made $180 and it cost them $15 to make each wreath, so they sold $180/$15=12 wreaths.

The coordinates of the endpoints of the segment T'V' are equal to: A. T'(-3, 6) and V'(0, 3).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of triangle TVW by using the following transformation rule with a scale factor of 3/4: (x, y)  →  (3x/4, 3y/4)

For coordinate T, we have;

Coordinate T = (-4, 8)  →  (3/4(-4), 3/4(8)) = Coordinate T' = (-3, 6).

For coordinate V, we have;

Coordinate V = (0, 4)  →  (3/4(0), 3/4(4)) = Coordinate V' = (0, 3).

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Answer:

A. T'(-3, 6) and V'(0, 3)

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

84x35=2940

2940x2=5880

84+21=105

35+21=56

105*56=5880

The surface area of a church window bounded above by a parabola and below by the arc of a circle is 2.750x^2, rounded to three decimal places.

Let x be the length of the window. The radius of the arc of a circle is x/2.

Surface area = [Area of parabola] + [Area of arc of a circle]

= (1/2)x^2 + (π/2)*(x/2)^2

= (1/2)x^2 + (π/4)x^2

= (π/4 + 1/2)x^2

= (1 + π/4)x^2

= 2.75x^2

Answer: 2.750

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the steps involved in the six sigma approach. -Define-Measure-Analyze-Improve-Control

-Define: Identify the problem and set objectives and goals

-Measure: Collect and analyze data related to the problem

-Analyze: Identify the root cause of the problem

-Improve: Develop and implement solutions to the problem

-Control: Monitor and maintain the improvements to ensure the problem does not recurrence are the steps involved in six sigma.

1. Define: Identify the problem, set objectives and goals, and develop a project plan.

2. Measure: Collect and analyze data related to the problem and determine the current process performance.

3. Analyze: Examine the data to identify the root cause of the problem.

4. Improve: Develop and implement solutions to improve the process.

5. Control: Monitor and maintain the improvements to ensure the problem does not recur.

6. Optimize: Continuously look for ways to make the process more efficient and effective.

the complete question is:

Select all that apply identify the steps involved in the six sigma approach. (check all that apply.)

-Define

-Measure

-Analyze

-Improve

-Control

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Answer:

0.99548

Step-by-step explanation:

P(not die)=100000-452/100000

The area of parallelogram with the vertices is √269 when vertices are P(1, 0, 2), Q(3, 3, 3), R(7, 5, 8), and S(5 , 2, 7).

Given that,

The vertices are P(1, 0, 2), Q(3, 3, 3), R(7, 5, 8), and S(5 , 2, 7).

We have to find the area of parallelogram with the vertices.

We know that,

PQ=Q-P=(3,3,3) -(1,0,2)=(2,3,1)

PR=R-P=(7,5,8) -(1,0,2)=(6,5,6)

Find area using cross product as

Area= |PQ x PR|

=|i (3(6)-1(5)) - j (2(6)-1(6)) + k (2(5)-3(6)) |

= |i (18 - 5) - j (12 -6) + k (10 -18) |

= |{13; 6; -8}|

=√(13²+6²+(-8)²)

=√269

Therefore, the area of parallelogram with the vertices is √269 when  vertices are P(1, 0, 2), Q(3, 3, 3), R(7, 5, 8), and S(5 , 2, 7).

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The customer sent Darren more than 12 e-mails over the 14-day period. The maximum number of emails represented in the dot plot is 12 + 4 = 16

The dot plot provides information about the number of emails he received from one customer over a 14-day period.

The number line goes from 1 to 12, but there are 4 dots above 12 which means that the customer sent him more than 12 emails over the 14-day period.

Therefore, the statement "The customer sent Darren more than 12 e-mails over the 14-day period" must be true according to the dot plot.The maximum number of emails represented in the dot plot is 12 + 4 = 16. Therefore, the customer sent Darren more than 12 emails over the 14-day period.

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A linear recurrence relation is homogeneous if f(n) = 0. The order of the recurrence relation is determined by k. We say a recurrence relation is of order k if an = f(an−1,...,an−k).

Given: a)  an = 3an-1 + 4an-2 +5an-3

We note that the given recurrence relation is linear, because the right-hand side is a linear combination of previous terms. We note that the given recurrence relation is homogeneous, because the recurrence relation does not contain any constant terms. The degree of the recurrence relation is the largest value k for which are occurs in the recurrence relation.

k=3

Given: b) an = 2nan-1 + an-2

We note that the given recurrence relation is not linear, because the right-hand side is not a linear combination of previous terms (due to the

fact that 2n is not a constant). We note that the given recurrence relation is homogeneous, because the recurrence relation does not contain any constant terms.

Given: c) an = an-1 + an-4

Because the right-hand side is a linear combination of the prior terms, we observe that the provided recurrence relation is linear. Given that there are no constant terms in the recurrence relation, it is important to observe that it is homogenous. The biggest value k for which are k appears in the recurrence relation is the recurrence relation's degree.

Degree of linear homogeneous recurrence are k=3 .

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Answer: 162.5 Pounds

[tex]P(B|A) = \frac{P(AandB)}{P(A)}[/tex]

Answer:

0.3324

Step-by-step explanation: