Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. A company's stock price fluctuated over a period of four days. The table shows the change in stock price per day. Day Change 1 increased by $3.50 2 decreased by $3.70 3 increased by $3.30 4 decreased by $3.40 The net change in the company’s stock price over the four days is $.

The division yields 1/14 for the complex fraction.

Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication. It is an inverse operation to multiplication, meaning that dividing by a number is the same as multiplying by its reciprocal. Division can be thought of as the process of finding how many times a number (the divisor) can fit into another number (the dividend). The result of the division is called the quotient. In some cases, the division may result in a fractional number, representing a partial division. In this case, the result is a rational number, which is a type of real number. Division can also be represented using long division, a method used to divide large numbers or polynomials. It involves dividing the dividend by the divisor one digit at a time, until the division is complete.

Here,

=22/44/7

=22/44*1/7

=1/14

The answer for the complex fraction is 1/14 by the division.

To know more about division,

https://brainly.com/question/28598725

#SPJ1

Answer:

The probability of winning the bet is approximately 0.4238, or about 42.38%.

Step-by-step explanation:

We can solve this problem using the normal approximation to the binomial distribution. Let X be the number of heads in 100 tosses of a fair coin. Then X follows a binomial distribution with n = 100 and p = 0.5. The mean of X is µ = np = 100 × 0.5 = 50, and the standard deviation of X is σ = sqrt(np(1-p)) = sqrt(100 × 0.5 × 0.5) = 5.

Now, we want to calculate the probability that |X - 50| ≥ 4. This is equivalent to calculating the probability that |(X - 50)/5| ≥ 4/5, which is the probability that a standard normal variable Z = (X - 50)/5 is less than -4/5 or greater than 4/5. Using a standard normal distribution table or a calculator, we can find:

P(Z ≤ -4/5) ≈ 0.2119

P(Z ≥ 4/5) ≈ 0.2119

Therefore, the probability of winning the bet is:

P(|X - 50| ≥ 4) = P(|(X - 50)/5| ≥ 4/5)

≈ P(Z ≤ -4/5 or Z ≥ 4/5)

≈ P(Z ≤ -4/5) + P(Z ≥ 4/5)

≈ 0.2119 + 0.2119

≈ 0.4238

So the probability of winning the bet is approximately 0.4238, or about 42.38%.

To know more about probability refer here

https://brainly.com/question/30034780#

#SPJ11

The main memory process that accounts for Shayla's ability to retain the vocabulary she learned in her first semester Spanish class is long-term memory.

Long-term memory is a type of memory storage that has a vast capacity and can store information for extended periods of time, ranging from minutes to years. It allows for the encoding, storage, and retrieval of information that can be retained for a long duration.

In Shayla's case, the vocabulary she learned in her Spanish class is stored in her long-term memory, enabling her to access and retain that information even after the class has ended. Long-term memory plays a crucial role in the consolidation and retention of learned knowledge and experiences, contributing to the long-term retention of information.

Learn more about minutes here:

https://brainly.com/question/15600126

#SPJ11

Answer:

4 times!

Step-by-step explanation:

Technically, the answer would be 4.5, but 87 can go into 392 4 times. I simply did the division with a calculator, but I hope this helped!

Answer:

sqrt (5)

Step-by-step explanation:

5 sqrt 7  / sqrt35      to ratioanlize   multiply top and bottom by sqrt 35

5 sqrt7 * sqrt 35  / 35 =    5 sqrt (245)/35 = 5 sqrt (5*49) / 35 =

                                             5 * 7 sqrt5 /35 = sqrt 5

Answer:

\(6(a - 2) = 6a - 12\)

The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4

To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:

(3 x 107) x (2 x 107) = 6 x (107 x 107)

Next, we can calculate the product of 107 and 107, which is 11,449:

6 x 11,449 = 68,694

In scientific notation, this can be written as:

= 6.8694 x 10^4

Learn more about distributive property here

brainly.com/question/11916234

#SPJ4

The Exact number of \($$P_{9,2}$$\) is \(72\)

The Exact number of \($$C_{7,5} $$\) is \(21\)

An exact number is a value that is known with complete certainty. In other words, an exact number has zero uncertainty and an infinite number of significant figures. An exact number cannot be simplified or reduced.

Examples of exact numbers included counted numbers, defined units, and defined unit conversions. Many exact numbers are integers, but some are decimals. Here are specific examples.

Here we have to compute \($P_{9,2}$\) means

\(P_{1,5} & =\frac{7 !}{(7-5) !}\)

\(P_{9,2} & =\frac{9 !}{(9-2) !}\)

\(=\frac{9 !}{7 !}=\frac{9 \times 8 \times 7 !}{7 !}\)

\(P_{9,2} & =7 \times 8=72\)

Hence \($P_{9,2}$\) \(=72\)

Here we have to compute \($C_{7,5}$\) means

Combination \($(7,5)$\)

\($$\begin{aligned}& \left(\begin{array}{l}7 \\5\end{array}\right)=\frac{7 !}{(7-5) ! 5 !}=\frac{7 * 6 * 5 !}{2 ! * 5 !} \\& =\frac{7 * 6}{2 * 1}=21\end{aligned}$$\)

Hence

\($$C_{7,5}=21$$\)

Therefore, the Exact number of P9,2. is 72 and C7,5. is 21.

For more such questions on Exact numbers:

https://brainly.com/question/28294859

#SPJ4

Answer:

A 100% increase in a total means the final amount is 200% of the initial amount.

A 100% decrease in a total means the final amount is 0% of the initial amount.

Error means that you were a way off from the real value

Step-by-step explanation:

Step-by-step explanation:

If you dilate a image by a factor of 2 you are multiplying each side by 2.

Side AC = Original AC x 2 = 8 x 2 = 16

Side AB = Original AB x 2 = 15 x 2 = 30

Side BD = Original BD x 2 = 8 x 2 = 16

Side CD = Original CD x 2 = 15 x 2 = 30

Answer:

y = -6x - 7

Step-by-step explanation:

We already know the slope so all we need to do is find th y-intercept. We can do this by using slope-intercept form and substituting the values we are given.

y = mx + b

5 = -6(-2) + b

5 = 12 + b

-7 = b

Put everything we know back into the formula.

y = -6x - 7

Best of luck!

Answer:

\(\displaystyle 6x + y = -7\:or\:y = -6x - 7\)

Step-by-step explanation:

Plug the information into the Slope-Intercept Formula:

\(\displaystyle 5 = -6[-2] + b \hookrightarrow 5 = 12 + b; -7 = b \\ \\ y = -6x - 7\)

Suppose you need to write this equation in standard form. You would follow these procedures:

y = −6x - 7

+ 6x + 6x

__________

\(\displaystyle 6x + y = -7\)

I am joyous to assist you at any time.

okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

What is sampling distribution ?

An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.            

                         It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given,

Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.

Simulation A will consist of 1500 trials with a sample size of 100.

Simulation B will consist of 2000 trials with a sample size of 50.

Center for Simulation A and Simulation B will be roughly equal.  

Overall Sample size of Simulation A will be

  = 1500 * 100  = 150000

Overall Sample size of Simulation B will be

 = 2000 *  50  =  100000

Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

Learn more about sampling distribution

brainly.com/question/30007465

#SPJ4

The complete question is -

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

The relation f(x) is a function

The intercepts of the function f(x) are x-intercept = (2, 0) and y-intercept = (0, -8)

Domain: All real values and Range = All real values

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

f(x) = -|x| when x<−3

     = 4(x - 2) when −3≤x≤2

      = 2x + 4 when x > 2​

The graph of f(x) is added as an attachment

From the graph, we can see that the relation f(x) is a function

This is because no x value have multiple y values

From the graph, we have the intercepts of the function f(x) to be the following

x-intercept = (2, 0)

y-intercept = (0, -8)

By definition

Domain = input values

Range = output values

From the graph, we have the domain of the function f(x) to be the following

Domain: All real values

Range = All real values

Read more about piecewise function at

https://brainly.com/question/27262465

#SPJ4

Question

Given the following

f(x) = -|x| when x<−3

     = 4(x - 2) when −3≤x≤2

      = 2x + 4 when x > 2​

Is f(x) a function? Explain how you know. For f(x) : What are the intercepts? What is the domain? What is the range? Graph f(x):

Answer:

rst = ust + usr

6x+12 = 78 + 3x - 12

3x = 54

3x+66 = 54 + 66

3x +66= 120

thus rst = 120

The measure of angle ∠RST in degree is 156°

The measure of angle is the amount of rotation performed by initial side to get the terminal side. A complete angle is divided by 360 equal parts we get 360 number of small angles. Each of these small angle has measure 1 degree.

Given that, ∠RSU=78° , ∠UST=(3x - 11)° and ∠RST=(6x + 12)°

Now, ∠RSU+UST=∠RST

Putting the values of ∠RST and ∠UST we get,

78 + (3x - 12) = 6x + 12

78 + 3x - 12 - 6x - 12 = 0

54 - 3x = 0

3x = 54

So, x = 54/3=18

Therefore, (6x + 12)°=(6×18 + 12)°

=(144 + 12)°

=156°

Hence the measure of angle ∠RST is 156°

To learn more about measure of angle click:

https://brainly.com/question/27406110

#SPJ5

Answer:49882

when I put a number over a number it means I can't put the whole number inside the answer line so I toke out the last number and put it in

5 0 9

× 9 8

45810. this is from multiplying with the nine

+ 4062. this is from multiplying with the right

49882 this is the answer

u had to add the two answer and that's how I got 49882

Answer:

B. \( \frac{17}{72}\)

Step-by-step explanation:

\( {a}^{2} + {b}^{3} \\ \\ = \bigg( \frac{1}{3} \bigg)^{2} + \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{9} + \frac{1}{8} \\ \\ = \frac{8 + 9}{9 \times 8} \\ \\ = \frac{17}{72} \\ \)

The equation that has no real solutions is 2(x+3)² + 4 = 1. The correct answer is option B.

As we know that the quadratic equation is defined as a function containing the highest power of a variable is two.

As per the question,

A. 2(x-3)² = 0

Here, it has one real solution x = 3.

B. 2(x+3)² +4=1

Here, it can be simplified to 2(x+3)² = -3 which has no real solutions.

C. (x - 1)² + 4 = 8

Here, it can be simplified to (x - 1)² = 4 which has two real solutions x = 3 and x = -1.

Therefore, the equation that has no real solutions is 2(x+3)² + 4 = 1.

Hence, the correct answer is option B.

Learn more about quadratic function here:

brainly.com/question/14083225

#SPJ1

Answer: 0.54

Step-by-step explanation: 54 divided by 100, or 54/100, equals 0.54 or 54%

Answer:

Fifty-four hundredths as a decimal number is 0.54

Step-by-step explanation:

The hundredths place in two decimal places to the right of the decimal point. It is the same thing as  \(\frac{54}{100} = 0.54\).

Answer:

not sure about this question

Answer:

this equation has the degree value of 6

Step-by-step explanation:

Answer:

2) m∡1 = 100°

3) m∡2 = 40°

4) TD

5) m∡1 = 67°

Step-by-step explanation:

The associated radius of convergence R is 0.

Answer: \(ln(4) + (1/4)(x-4) - (1/32)(x-4)^2 + (1/64)(x-4)^3 - (3/256)(x-4)^4 and R = 0.\)

We need to find the Taylor series for f(x) centered at the given value of a.

To find the Taylor series for ln(x) function we use the formula of the Taylor series which is:

\(f(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + ....+ f^n(a)(x-a)^n/n!......eqn.1\)

Differentiating the given function ln(x), we get;

\(f'(x) = 1/x ......eqn.2\\f''(x) = -1/x^2 .......eqn.3\\f'''(x) = 2!/x^3 .....eqn.4\\f^4(x) = -3! /x^4 ....eqn.5\)

Therefore, substituting the values of a, f(a), f'(a), f''(a), f'''(a) and f^4(a) in eqn.1, we get;

\(ln(x) = ln(4) + (1/4)(x-4) - (1/32)(x-4)^2 + (1/64)(x-4)^3 - (3/256)(x-4)^4 ......eqn.6\)

The associated radius of convergence R is given by the formula;

\(R = lim |a_n / a_n+1 |\)

where a_n is the nth term of the series.

In this case, the nth term is (x-4)^n/n!

Therefore, \(a_n+1 = (x-4)^(n+1) / (n+1)! and a_n = (x-4)^n/n!.\)

Substituting these values in the formula, we get;

\(R = lim|(x-4)^n/n! x (n+1)!/(x-4)^(n+1) |\)

on simplifying, we get;

\(R = lim |(x-4)/(n+1)|\)

as n approaches, infinity, the denominator in the above equation becomes very large, and thus R approaches 0.

Hence the associated radius of convergence R is 0. Answer: \(ln(4) + (1/4)(x-4) - (1/32)(x-4)^2 + (1/64)(x-4)^3 - (3/256)(x-4)^4\) and R = 0.

Know more about radius here:

https://brainly.com/question/24375372

#SPJ11

Answer:

x = 17.331....

Step-by-step explanation:

Basically use Tan on the calculator to find x. Look up "soh cah toa" if you still dont understand what I am doing.

Tan(37) = opposite / adjacent = x / 23

x = Tan(37) (23)                    multiply by 23 on both sides to get this

x = 0.753.... (23)                   now multiply the tan value on the calculator

x = 17.331....

Answer:

m = 51.03

Step-by-step explanation:

cross-multiply to get:

9m = 65.61(7)

9m = 459.27

m = 459.27÷9

m = 51.03

the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587

The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.

To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.

We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.

We the look up the probability for a value of 1 in the z-table, which is 0.1587.

This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

Step-by-step explanation:

The given equation is not instandard form. First standard form is neccesary.

The result is 3x + 108 = 12y which is equal to 12y = 3x + 108

The slope is represented in this form as m (Y = mx + b)

(with b as the initial value)

Therefore, 3 is the slope.

To find its perpendicular slope.

To find it's perpendicular, know that it is the negative reciprocal.

FInally, the slope perpendicular to the line whose equation is 3x - 12y = -108 is \(\frac{1}{-3\\}\)

\(\frac{60}{2/3}=60(3/2)=\boxed{90}\)