Will someone please answer this and show me how you got it

Answer: The answer is C on Edge 2020

Step-by-step explanation:

Answer:

(C) No, the probability of getting heads or tails is 0.5, regardless of the outcomes of the previous flips.

Is correct

ED2021

Answer:

\({ \tt{ = 2f + 6f}}\)

- Factorise out f as the common factor;

\({ \tt{ = f(2 + 6)}} \\ = 8f\)

Answer:

$42.288

Step-by-step explanation:

20%=0.2

0.2*35.24=7.048

35.24+7.048=42.288

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

To determine the equation of a line, you may use two variations of the general form of a line.

These formulas are:

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

The standard form of a linear equation, also known as the “general form“, is:

ax+by=c

The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.

A few notes on Standard Form:

Let us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x

3y-5x=30

3y-5(0)=30

3y=30

y=10

Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.

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Answer:

63 answers

Hope this helps :p

The total number of questions to be answered correctly so that 75% of answers are correct is 63.

∵ To pass the assessment, the percentage of questions to be answered correctly = 75.

That means, for every 100 questions, the number of correct answers required = 75

∴ For 1 question, the number of correct answers required= 75/100

                                                                                         =3/4

But, the total number of questions in the assessment = 84

∴ For 84 questions, the number of correct answers required = 3/4×84

                                                                                                     = 63

Hence, the total number of questions to be answered correctly so that 75% of answers are correct is 63.

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Answer:

The correct test statistic for the hypothesis test is \(t = -1.87\)

Step-by-step explanation:

The null hypothesis is:

\(H_{0} = 16\)

The alternate hypotesis is:

\(H_{1} < 16\)

The test statistic is:

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

In this question:

\(X = 15.6, \mu = 16, s = 0.8, n = 14\)

So

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{15.6 - 16}{\frac{0.8}{\sqrt{14}}}\)

\(t = -1.87\)

The correct test statistic for the hypothesis test is \(t = -1.87\)

Hypothesis test used to check the results of the experiments gives true for the meaningful results.. The correct test statistic for the hypothesis test is -1.871.

Given information-

The mean battery life of the laptop is 16 hours claimed by the company.

The random sample for the test is 14.

Average life of the batteries found out as 15.6 hours.

The deviation for this result is 0.8 hours.

Hypothesis test used to check the results of the experiments gives true for the meaningful results.

As the mean battery life of the laptop is 16 hours claimed by the company.The null hypothesis for the given problem is,

\(H_o\mu=16\)

As average life of the batteries found out as 15.6 hours. Thus the alternate hypothesis for the given problem is,

\(H_1\mu<16\)

One sample t test can be found using the below formula,

\(t=\dfrac{\overline x -\mu_o}{\dfrac{s}{\sqrt{n} } }\)

Here, \(\overline x\) is mean value, \(n\) is the number of random sample and \(s\) is the deviation.

Put the values,

\(t=\dfrac{15.6 -16}{\dfrac{0.8}{\sqrt{14} } }\\t=-1.871\)

Thus the correct test statistic for the hypothesis test is -1.871.

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In arithmetic progression, 9,15,21,27,33,39 is a₅ and    a₆ .

What is arithmetic progression?

a₁ = 9

a₂ = 15

a₃ = 21

Notice that a₂ - a₁ = 6 and a₃ - a₂ = 6

We can deduce that aₙ₊₁ = aₙ + 6

We can test this on the 4th term : a₄ should equal  21  + 6 = 27

Since this checks out we can say that the sequence is an arithmetic progression with a common difference of 6.

a₅ = 27 + 5 = 33

and

  a₆ = 33 + 6 = 39

7,0,-7,-14

find the common difference by substracting any term in the sequence from the term that comes after it.

 a₂ - a₁  = 0 - 7 = -7

 a₃ - a₂ = -7 - 0 = -7

 a₄ - a₃ = -14 - -7 = -7

the difference of the sequence is constant and equals the difference between two consecutive terms.

  d = -7

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9514 1404 393

Answer:

  y = -1/4x +5

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -6)/(8 -(-4)) = -3/12 = -1/4

The graph crosses the y-axis at y=5, so the slope-intercept equation can be written as ...

  y = mx +b . . . . . line with slope m and y-intercept b

  y = -1/4x +5 . . . . line with slope -1/4 and y-intercept 5

Answer:

31 days

Step-by-step explanation:

C = 35 + 10d

345 = 35 + 10d

310 = 10d

d = 31 days

Answer: 1 73/90 if the decimal is 1.81 and the one is repeating

If the .81 is repeating then 1 9/11

Step-by-step explanation:

Answer:

20/11

Step-by-step explanation:

let 0.(81) = x

--> 100x = 81.(81)

--> 100x - x = 81.(81) - 0.(81)

--> 99x = 81

--> x = 81/99 = 9/11

1.(81) = 1 + 0.(81) = 1 + x = 1 + 9/11 = 20/11

Using an algebraic equation to represent the word problem, the smallest integer is 1

This is a way of representing mathematical problems with words. To solve this, we have to use algebraic equations or expressions.

Let the integers be represented as

We can write an equation from the word problem given as

7 × (x + 2) = 15 + [x + (x + 4)]

7x + 14 = 15 + x + x + 4

7x + 14 = 15 + 2x + 4

collect like terms

7x - 2x = 15 - 14 + 4

5x = 5

Divide both sides by coefficient of x

5x / 5  = 5 / 5

x = 1

The smallest integer is 1

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Translation:

Find the smallest of three consecutive odd integers such that 7 times the middle integer is 15 more than the sum of the first and third integers

The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.

To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:

a/5 = b/3

5/a = 3/b (multiplying both sides by 5/a)

5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)

5/a = 1

Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

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Answer:

The domain of the graph is all real numbers less than or equal to 0.

Step-by-step explanation:

Hello,

We know that we cannot take square root of negative numbers, so we must have

\(-x\geq 0 \ \text{ ***multiply by -1, it changes the inequality, so*** } \\ \\\large \boxed{\sf \ \ x\leq0 \ \ }\)

So the domain of the graph is all real numbers less than or equal to 0.

For information, I attached the graph so that we can verify it.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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Answer:

-35x + 21w + 7

Step-by-step explanation:

Basically all you have to do is multiply the -7 by all of the values inside of the parenthesis. The subtraction sign in front of the 3w and 1 made them negative numbers, when you multiple two negative numbers they become positive.

Answer:

59 tournament passes and 36 one-day passes were sold.

Step-by-step explanation:

Since the first day of a water polo tournament the total value of tickets sold was $ 1540, and one-day passes sold for $ 10 and tournament passes sold for $ 20, and the number of tournament passes sold was 23 more than the number of day passes. sold, to determine how many day passes and tournament passes were sold, the following calculation must be performed:

20 x 33 + 10 x 10 = 760

20 x 63 + 10 x 40 = 1,660

20 x 58 + 10 x 35 = 1,510

20 x 59 + 10 x 36 = 1,540

Thus, 59 tournament passes and 36 one-day passes were sold.

The inequality is 8-1/4x>27. The solution of the inequality is b<-76.

Given that,

The inequality is 8-1/4x>27

We must determine how to address the inequity.

Take,

8-1/4x>27

Multiply the inequality's two sides by its lowest common denominator,

4×8-4×1/4b>27×4

Reduce the expression to the lowers term,

4×8-b>4×27

Calculate the product or quotient,

32-b>4×27

Calculate the product or quotient,

32-b>108

Rearrange unknown terms to the left side of the equation,

-b>108-32

Calculate the sum or difference,

-b>76

Divide the inequality's two sides by the variable's coefficient,

b<-76

Therefore, the solution of the inequality is b<-76.

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Answer:

D) x=-1, x=-9

Step-by-step explanation:

x=-1, x=-9

Answer:

\(\boxed{Option \ C}\)

Step-by-step explanation:

\(y = -x^2+3x+18\\y = -2x+4\)

Equating both equations

=> \(-x^2+3x+18 = -2x+4\\x^2-2x-3x+4-18 = 0\\x^2-5x-14=0\)

Using mid term break formula

=> \(x^2-7x+2x-14=0\\x(x-7)+2(x-7)=0\\Taking \ (x-7) \ common\\(x+2)(x-7) = 0\)

Either,

x + 2 = 0     OR    x - 7 = 0

 x = -2         OR      x = 7

For, x = -2 , y is

=> y = -2x+4

=> y = -2(-2)+4

=> y = 4+4

=> y = 8

So, the ordered pair is (-2,8)

For x = 7 , y is

=> y = -2(7)+4

=> y = -14+4

=> y = -10

So, the ordered pair for this is (7, -10)

Solution Set = {(-2,8),(7,-10)}

Answer:

The answer is option C

Step-by-step explanation:

y = - x² + 3x + 18

y = - 2x + 4

Since they are both equal to y we equate them

That's,

- x² + 3x + 18 = - 2x + 4

x² - 5x - 14 = 0

Solve the quadratic equation

x² - 5x - 14 = 0

x² + 2x - 7x - 14 = 0

x(x + 2) - 7( x + 2) = 0

( x - 7)(x + 2) = 0

x - 7 = 0 x + 2 = 0

x = 7 x = - 2

Substitute the values of x into y = - 2x + 4

That's

when x = 7 when x = - 2

y = - 2(7) + 4 y = - 2(-2) + 4

y = - 14 + 4 y = 4 + 4

y = - 10 y = 8

So the solutions are

Hope this helps you

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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The mean of brothers and sisters = 3

From the attached data set of brothers and sisters we can write the data values (frequency) as:

1, 5, 4, 2

We need to find the mean of brothers and sisters,

We know that the formula for the mean of data.

mean(\(\bar{x}\)) = sum of all data values / total number of data values

First we find the sum of all data values.

1 + 5 + 4 + 2 = 12

and the total number of data values = 4

Using above formula of mean,

mean(\(\bar{x}\)) = sum of all data values / total number of data values

mean(\(\bar{x}\)) = 12 / 4

mean(\(\bar{x}\)) = 3

Therefore, the required mean is: 3

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Find the complete question below.

Answer:

a

Step-by-step explanation:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The sum of the measures of the interior angles of the regular polygon is 180 degrees.

If each exterior angle of a polygon measures 120 degrees, then each interior angle of the polygon measures 180 - 120 = 60 degrees. This is because the sum of an exterior angle and its corresponding interior angle is always 180 degrees.

Let n be the number of sides of the regular polygon. The sum of the measures of the interior angles of a polygon with n sides can be found using the formula:

Sum of interior angles = (n - 2) * 180 degrees

For a regular polygon, all interior angles have the same measure, so we can write:

n * 60 degrees = (n - 2) * 180 degrees

Simplifying this equation, we get:

60n = 180n - 360

120n = 360

n = 3

Therefore, the polygon is an equilateral triangle, and the sum of its interior angles is:

Sum of interior angles = (n - 2) * 180 degrees = (3 - 2) * 180 degrees = 180 degrees

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Answer:

Linear Equations In One Variable =

[6(x-1)6] / 7 = 12

[(6x - 6)6] = 84

[36x - 36] = 84

36x = 84 + 36

36x = 120

x = 120/36

x = 10/3

equation solved (Answer : 10/3)

Answer:

Expected value: 5.45

Variance: 4.0475

Step-by-step explanation:

The variance is the second moment minus the first moment squared

the first moment is just the mean

if I interpretted your table correctly the expected value (or first moment should be)

1*.05+2*.05+3*.1+4*.1+5*.15+6*.15+7*.25+8*.15= 5.45

Calculating the second moment is kind of the same thing (just square the nonprobability numbers)

1²*.05+2²*.05+3²*.1+4²*.1+5²*.15+6²*.15+7²*.25+8²*.15= 33.75

33.75-5.45²=4.0475

Answer:

f(x) has a greater slope.

Step-by-step explanation:

The slope of the image line

= difference in y coordinates / difference in x coordinates

= (7-3) / (3-2)

= 4.

The  slope of f(x) = 6x + 1 is  6.

The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.

What is mean by straight line?

A straight line is a combination of endless points joined on both sides of the point.

Given that;

The function, f(x) = 6x + 1

And the function g(x) is a linear function which passes through the points (2 , 3) and (3, 7).

Since, The slope 'm' of any straight line is given by:

m = (y₂ - y₁) / (x₂ - x₁)

And, m = d/dx (f(x))

So, The slope of function f (x) will be;

f(x) = 6x + 1

M = d/dx (f(x))

M = d/dx (6x + 1)

M = 6

And, Slope of linear function which passes through the points (2 , 3) and (3, 7) is;

m = (7 - 3) / (3 - 2)

m = 4/1

m = 4

Thus, The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.

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Answer:\(\frac{11}{-2}\)

Step-by-step explanation:

ok so I'm going to try to show it the best c an

m = slope

the equation you use is

\(\frac{y2-y1}{x2-x1} =\) m

so when using that formula with the cords, you get

\(\frac{4-(-7)}{-6-(-4)}\)

and then subtract everything and you'll get

\(\frac{11}{-2}\)

Hello,

\(f(x)=2x^4-x^3-18x+9x\\\\=x(2x^3-x^2-18x+9)\\\\=x(x^2(2x-1)-9(2x-1))\\\\=x(2x-1)(x^2-9)\\=x(2x-1)(x-3)(x+3)\\\)

Zeros are : 0;  1/2; -3; 3.

The zeros of the function are -3, 0, 1/2 and 3.

The given function is \(f(x)=2x^{4} -x^{3} -18x^{2} +9x\).

Zeros of a function are the points where the graph of the function meets the X-axis i.e., at the solutions of f(x) = 0.

Now, factorise the given function, that is f(x)=x(2x³-x²-18x+9).

=x[x²(2x-1)-9x(2x-1)]

=x(2x-1)(x²-9)

=x(2x-1)(x+3)(x-3)

= -3, 0, 1/2, 3

Therefore, the zeros of the function are -3, 0, 1/2 and 3.

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