Rewrite the given equation in logarithmic form. Then, select all of the equations with an equivalent solution.8e^x - 5 = 0

The sample size that would be required for the width of 99% is 2653.

The number of subjects involved in a sample size is referred to as the sample size in market research. A set of people chosen from the general community who are thought to be a representative sample size for that particular study is referred to as the sample size.

The following details are given:

Margin of error, E = 0.025; Significance Level, = 0.01

The proportion p is estimated to be p = 0.53.

The significance level with a critical value of 0.01 is 2.58.

The smallest sample size needed to estimate the population proportion p within the necessary margin of error is determined using the formula shown below:

n >= p*(1-p)*(zc/E)2 n = 0.53 *(1 - 0.53*)2 n = 2652.97 *(1-p)*(2.58/0.025)2

As a result, we determine that n = 2653 is the minimal sample size needed to satisfy the criteria that

n >= 2652.97 and that it must be an integer value.

Sample size is 2653.

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The probability of randomly selecting a tree or an insect is 3/10

From the question, we have the following parameters that can be used in our computation:

10 insects, 8 trees, 8 flowers, and 4 birds.

To find the probability of randomly selecting a tree or an insect,

We need to find the number of tree and insect cards and divide by the total number of cards.

There are 8 tree cards and 10 insect cards, for a total of 8 + 10 = 18 cards.

So the probability of randomly selecting a tree or an insect

P = 18/30

P = 3/5.

hence, the probability is 3/5.

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Answer:

A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0). because division by zero is an undefined operation

Step-by-step explanation:

I hope I'm helpful

The formula would you use to calculate the floor space of Firm 3's structure is πr²h.

It should be noted that the formula that can be used on this scenario will be:

= πr²h

where,

h = 60

r = 70/2 = 35

The volume will be:

= πr²h

= 3.14 × 35² × 60

= 230790 feet ³

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The majority of business owners avoid flood insurance.

Inferential statistics enables you to draw conclusions ("inferences") from descriptive statistics, which describes data (such as a chart or graph). Using inferential statistics, you can draw conclusions about a population using data from samples. Using inferential statistics, you can try to discover whether the sample data from a tiny sample of people can forecast whether the medication will be effective for everybody (i.e. the population). There are several techniques to accomplish this, including post-hoc (advanced) testing and generating a z-score, which shows where your data would fall in a normal distribution.

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Answer:

5 the answer is 5

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

0.25x + 7 = 4(x - 2)

0.25x + 7 = 4x - 8

8 + 7 = 4x - 0.25x

15 = 3.75x

15/3.75 x

x = 4

For an infinite power series, \(f(x)=∑_{n = 1}^{∞} \frac{n² x^{n}}{5^n n!} \\ \), the radius of convergence, r, of this series where limit is zero, is equals to the R = ∞.

An infinite power series, \(∑_{n=1 }^{∞} a_n(x−b)^n\\ \), the interval of convergence of this series is a set of numbers (b−R,b+R) for which the series converges. The value R is called the radius of convergence. The formula of radius of Convergence by ratio test is

\(\frac{1}{R} = \lim_{n→ \infty} |\frac{ a_{n + 1}}{a_n} | = l\\ \)

We have a infinite series defined as

\(f(x)=∑_{n = 1}^{∞} \frac{n² x^{n}}{5^n n!} \\ \)

here, \(a_n = \frac{n²}{5^n n!}\)

\(a_{n+1} = \frac{(n + 1)²}{5^{n +1} (n+1)!}\). Using the above formula, \(l = \lim_{n→ \infty} |\frac{\frac{(n + 1)²}{5^{n +1} (n+1)!}}{ \frac{n²}{5^n n!}} | \\ \)

\( = \lim_{n→ \infty} {\frac{(n + 1)²}{5^{n +1} (n+1)!}}×\frac{5^n n!} { {n}^{2}} \\ \)

\(= \lim_{n→ \infty} \frac{(n + 1)²}{5(n+1) n²} \\ \)

\(= \lim_{n→ \infty} \frac{(n + 1)}{5 n²}\\ \)

\(= \lim_{n→ \infty} \frac{(1 + \frac{1}{n})}{5 n} \\ \) = 0

Since, this limit is zero,i.e., l = 0 < 1. Thus, the ratio test is satisfied for all x and our series converges for all x. Hence , R= ∞ and the interval of convergence is (−∞,∞).

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Answer:

20 ÷ 10 = 2

So x = 20

Step-by-step explanation:

Hope this helps!

Answer:

x = 20

Step-by-step explanation:

1. Multiply 10 on both sides

2. The 10 on he left said will cancel out

3. x = 20

Answer:

hi

Step-by-step explanation:

Answer:

The true statements are:

the first statement: Systems A and C have the same solution

the fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18

the fifth statement: Systems A and B have different soltuoins.

Explanation:

1) The first statement: systems A and C have the same solutiotn: TRUE

The fourth statement proves that that the two systems are equivalent which means that both have the same solution.

2) The second statement: All three systems have different solutions: FALSE

The fourth statement proves that the systems A and C have same solution, so this second statement is false.

3) The third statement: Systems B and C have the same solution: FALSE

You can solve the two systems and will find the solutions are different

Solution of system B.

3x - 4y = 5

y = 5x + 3

replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5

=> 3x - 20x - 12 = 5

=> - 17x = 5 + 12

=> -17x = 17

=> x = - 17 / 17

=> x = - 1

y = 5x + 3 = 5(-1) + 3 = - 5 + 3 = - 2

=> solution x = -1 and y = -2

Solution of system C.

2x - 3y = 4

12x - 3y = 54

subtract

4) fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three: TRUE

Look:

Second equation of system C = 12x - 3y = 54

Divide by 3:

12x - 3y     54

----------- = -----

    3           3

Distributive property:

12x      3y      

------ - ----- = 18

  3        3

4x - y = 18, which is the same second equation of system A, so the system C simplifies to the same system A, which is 2x - 3y = 4 and 4x - y = 18.

5) The fifth statement: systems A and B have different solutions: TRUE

You can solve the two systems and will find the solutions are different

Solution of system A:

 2x - 3y =  4      

12x - 3y = 54           since it is equivalent to 4x - y =  18

-------------------

12x - 2x = 54 - 4      subtracting the first equation from the secon

10x = 50                  adding like terms

x = 5                        dividing by 10

From 2x - 3y = 4 => 3y = 2x - 4 = 2(5) - 4 = 10 - 4 = 6

=> y = 6 / 3 = 2

=> x = 5, y = 2

Solution of system B.

3x - 4y = 5

y = 5x + 3

replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5

=> 3x - 20x - 12 = 5

=> - 17x = 5 + 12

=> -17x = 17

=> x = - 17 / 17

=> x = - 1

Which is enough to prove that the two systems have different solutions.

The measure of the missing parts of the given triangle above would be given below as follows:

B = 36°

a = 32.4

To calculate the missing part of the triangle, the sine rule needs to be obeyed. That is :

a/sinA = b/sinB = c/sinC

where ;

a= ?

A= 65°

b= 21

B= 180-(79+65)

= 180-144 = 36°

Therefore;

a/sin65° = 21/sin36°

a = 21×0.9063/0.5878

= 19.0323/0.5878

= 32.4

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Answer:4

Step-by-step explanation:

discriminant = b^2-4ac

a = 3, b = -2, c = 0

(-2)^2-4(3)(0) = 4 - 0 = 4

4 is final answer

Answer:

\(first \: answer \: is \: true\)

The probability of the total being equal to 8 is 1/9 or 11.11%.

To calculate this probability, we must first calculate all the possible combinations of two six-sided dice that add up to 8. Since both the dice are showing an even number, the possible combinations are (2, 6), (4, 4), and (6, 2). the total number of possible combinations for two six-sided dice is 36 (6 x 6). Therefore, the probability of the total being equal to 8 is 3/36 or 1/9 or 11.11%.

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Answer:

2:5 is the answer

Step-by-step explanation:

Why is because it says What is the ratio of the distance Shawn ran to the distance he biked shawn ran 2 miles the ratio is 2:  and comparing how he rode 5 miles is 2:5

Answer:

2:5

Step-by-step explanation:

im in k12 LOL

The recursive formula of the geometric sequence is,

c(n)=-5c(n-1)

c(1)=-0.6

From the question, we have

the geometric sequence is,

-0.6, 3, -15, 75, ...

Common ratio, r = 3/(-0.6) = -5

The previous phrase, c(n-1), is multiplied by -5 to get the following term, c(n).

Therefore, the recursive formula for the sequence is:

c(n)=-5c(n-1)

c(1)=-0.6

Recursive Formula :

Arithmetic sequence recursive formula is another name for this formula. It is an arithmetic series, as you can see from the sequence itself, with the initial term coming after other terms, and the common difference, d, being the number you add to or subtract from each term. Geometric sequences with terms that have a common factor or common ratio between them can also have recursive functions built for them.

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Answer:

5.413386

Step-by-step explanation:

Answer:

  y = (4 -x)e^-2

Step-by-step explanation:

You want an equation of the tangent line to the graph of f(x) = xe^−x at its inflection point.

The inflection point on a curve is the point where the second derivative is zero, where the curve changes from being concave downward to concave upward, or vice versa.

We can use the product rule to differentiate f(x):

  (uv)' = u'v +uv'

  f'(x) = 1·e^-x +x·(-1)(e^-x) = (e^-x)(1 -x)

Then the second derivative is ...

  f''(x) = (-e^-x)(1 -x) +(e^-x)(-1) = (e^-x)(x -2)

The second derivative is zero where one of its factors is zero. e^-x is never zero, so we have ...

  (x -2) = 0   ⇒   x = 2

The point of inflection occurs at x = 2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For this problem, we have ...

  m = f'(2) = (e^-2)(1 -(2)) = -e^-2

  (h, k) = (2, f(2)) = (2, 2e^-2)

So, the equation of the tangent line is ...

  y -2e^-2 = -e^-2(x -2)

In slope-intercept form, this is ...

  y = (-e^-2)x +4e^-2

__

Additional comment

We can rearrange the equation to ...

  y = (4 -x)e^-2

Usually a tangent line touches the graph, but does not cross it. The tangent at the point of inflection necessarily crosses the graph.

Answer:

515

Step-by-step explanation:

Answer:

35.92 m

Step-by-step explanation:

To have a better comprehension of the problem, we can draw it as in the image attached.

If we use the tangent relation in both triangles, we have:

tangent(35) = h/x

tangent(20) = h/(150-x)

From the first equation, we have:

x = h/tangent(35) = h/0.7

From the second equation, we have:

0.364 = h / (150 - h/0.7)

54.6 - 0.52h = h

1.52h = 54.6

h = 35.92 m

Answer:

1 + X

Step-by-step explanation:

You just write whats there

Answer: I think it might be 1 + x or x = 1

Step-by-step explanation:

To estimate the error, we need to use the following formula;Where a is the lower limit of integration, b is the upper limit of integration, and M is the maximum value of the absolute value of f′′(x) in the interval [a,b].

Here, r = 10, t = 13x, and we need to find the error in approximating the integral of the given function f(x) = r / t by the third-degree Taylor polynomial T3(x) about x = 1.Let's start by finding f′′(x) as follows;Differentiating the function f(x) = r / t twice with respect to x gives;Now, let's find the maximum value of the absolute value of f′′(x) in the interval [1,10] as follows;Substituting the values of x in the expression for f′′(x), we get;Therefore, the maximum value of the absolute value of f′′(x) in the interval [1,10] is 0.008854214.

Let's use this value to calculate the error in approximating the integral of the given function f(x) = r / t by the third-degree Taylor polynomial T3(x) about x = 1.Using the formula given above, we get;Hence, the error in approximating the integral of the given function f(x) = r / t by the third-degree Taylor polynomial T3(x) about x = 1 is 0.00000806 (rounded to eight decimal places).Therefore, the estimated error is 0.00000806 (rounded to eight decimal places).

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Answer:

7 hours

Step by step instructions:

$3 x 7 hours = $21

$21 + $6 = $27

Answer:

answer of this question is r=0.94

Answer: oh god

Step-by-step explanation:

The solution using the butterfly method is -141/297

Using the butterfly method, we have that the steps for adding fractions are;

From the information given, we have that;

-4/11 + -2/3 - -5/9

-4/11 - 2/3 + 5/9

Add the values, we have;

-4/11 + 5/9 - 2/3

Multiply the numerators

-36 + 55/99

19/99 - 2/3

57 - 198/297

Subtract the values

-141/297

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Answer:

since the scale is

3 units = 15cm

? = 75 cm

= (75*3)/15

=15units.

The height of the fox in units is 15.

The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

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