Express this series using SIGMA NOTATION (under x):
5 + 9 + 13 + 17+ . . . + 101

The true statement is option A. The probability of buying fiction versus nonfiction is the same regardless of whether or not the person buys a hardcover or paperback.

What is the Independents events?

Independents events are events whose occurrence do not depend on each other. They are random events. It means that the probability of one event happening does not depend on a prior event.

According to the given question,

We have the given options in the question:

The options are:

A. The probability of buying fiction versus nonfiction is not the same

regardless of whether or not the person buys a hardcover or

paperback.

B. The probability of buying fiction versus nonfiction is the same

regardless of whether or not the person buys a hardcover or

paperback.

C. The probability of buying a paperback is the largest probability.

D. The probability of buying a hardcover is the smallest probability.

We can see that in the given diagram the required answer is option A.

Therefore, the true statement is option A.

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A. It should be noted that although Plant 2 clearly grew 2 cm per day as per the graph, Plant 1 still outgrew Plant 2 by 4 cm.

B. Guillermo claims that Plant 2 grows 4 cm per day is false, as shown by the graph, which contradicts Winston's claim, and Plant 2 actually grows 2 cm per day.

The relationship between lines and points is described by a graph, which is a mathematical representation of a network. A graph is made up of some points and connecting lines.

In the graph, we can clearly see that Plant 2 grew 2 cm per day, but still, Plant 1 grows more than plant 2 by 4 cm.

From the above part, we know that the error is statement that Plant 2 grows 2 cm per day, but according to the graph Plant, 2 grows by 2 cm per day.

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Answer:

56

Step-by-step explanation:

Answer of 6574832902987 divided by 13 is equal to 505755608690.

To divide 13 from 6574832902987, you could use long division.

Consequently, 6574832902987 divided by 13 is equal to 505755608690.

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The maximum possible number of mosquitoes that can be found in Brooklyn is -4 million, which occurs when there is 2 centimeters of rainfall.

The given function of mosquitoes is m(x)=-x(x-4).

This is a quadratic function in which we can determine the maximum or minimum value using the formula for vertex.

The formula for the vertex of a quadratic function is as follows:

V = (-b/2a, f(-b/2a))

Where a, b, and c are the coefficients of the quadratic function f(x). Now, let's find the vertex of the given function.

Here a = -1, b = 4, and c = 0.

V = (-b/2a, f(-b/2a))

V = (-4/-2, f(2))

V = (2, -4)

Therefore, the vertex of the quadratic function m(x)=-x(x-4) is (2,-4).

The maximum possible number of mosquitoes that can be found in Brooklyn is -4 million, which occurs when there is 2 centimeters of rainfall. If there is no rainfall or if there is too much rainfall, there will be no mosquitoes. This makes sense because mosquitoes need a certain amount of water to breed, but too much water will wash away their breeding grounds.

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Answer:

4

Step-by-step explanation:

im smart

Answer:

Darryl's TV is larger by 200 inches2

Step-by-step explanation:

Darryl's tv is 30*40 = 1200 inches2

Terrence's tv is 20*50 = 1000 inches2.

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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Answer:

Maximum = 21

Minimum = 13

Step-by-step explanation:

Answer:

71+what ever is inside the triangle is 180

180-71=109

so we know the angles of a triangle add up to 180

109+20+x=180

129+x=180

x=51

Hope This Helps!!!

The bonus based upon the given formula is $2606.15 approximately

Given,

Annual salary = $48,000

Yearly sales = $76,000

Bonus is given according to the formula:

2 weeks salary + 1 percentage commission

Here,

Annual salary is given as $48,000

We have to find the weekly salary:

There is 52 weeks in a year.

So, salary for one week = Annual salary / number of weeks =  48000/52 = $923.077

Now, salary for two weeks = 923.077 × 2 = $1846.154

Rate of annual commission is 1%

The commission amount:

1% of yearly sales = 1% of 76000 = (1/100) × 76000 = $760

So,

The bonus amount = 2 weeks salary + 1 percentage commission

The bonus amount = 1846.154 + 760

The bonus amount = 2606.154

Therefore, the bonus given based upon the given formula is $2606.154

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Answer:

2.4 of the cups

Step-by-step explanation:

30% of 8 = 2.4

70% of 8 = 5.6

30% + 70% = 100%

2.4 + 5.6 = 8

Answer:

X

\( \frac{y2 - y1}{x2 - x1} - \frac{y - y1}{x - x1} \)

Step-by-step explanation:

in every point given put one as (x1, y1) and the other is (x2, y2)

simplify the formula and you'll get you linear equation

Answer:

\(y = mx + c \\ - 1 =2 m + c...(1) \\ 5 = (0)m + c \\ c = 5...(2) \: sub \: in \: (1) \\ - 1 = 2m + 5 \\ m = - 3 \\ y = - 3x + 5\)

Answer:

y= 4x-4

y= x +2

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

\(L=\sqrt{{12}^2+5^2}=\sqrt{144+25}=\sqrt{169}=13\)

\(SA=2x(5\times12\div2)+5\times6+12\times6+6\times13\)

\(=60+30+72+78\)

\(=240\)

I hope this helps you

:)

Answer:

x =±6√2

Step-by-step explanation:

x^2 + x^2 = 12^2

Combine like terms

2x^2 = 144

Divide each side by 2

2/2x^2 = 144/2

x^2 = 72

Take the square root of each side

√x^2 = ±√72

x = ±√2*36

x =±6√2

Green Probability: 2/5

Yellow Probability: 2/5

Black Number of Beads: 4

If the chance to get a black bead is 1/5 the chance to get green or yellow has to be 4/5. Since both have the same amount of beads, the chance is 2/5 for each of them.

Now we know that 8 beads = 2/5 chance.

To find the number for 1/5 we just divide by 2.

8/2 = 4

Answer:

green Probability:2/5

yellow Probability:2/5

black Number of Beads:4

Step-by-step explanation                                                                                  best of luck

Answer:

75

Step-by-step explanation:

If a triangle = 180 degrees, then subtract 105 by 180, and you get 75!

Answer 2 1/10

work is shown in the picture above. I hope this helps.

Answer: about 20$ and 63cents

Step-by-step explanation:

240-75=165

165/8=20.265

Answer:

Slope-intercept form: \(y=-\frac{7}{4}x-\frac{19}{2}\)

Point-slope-form: \(y-1=-\frac{7}{4}(x+6)\)

Step-by-step explanation:

Hi there!

We want to find the equation of the line perpendicular to the line 4x-7y=2 that goes through (-6, 1) in slope-intercept form, as well as the point-slope form

Slope-intercept form is defined as y=mx+b, where m is the slope and b is the y intercept

Point-slope form is defined as \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point

Meanwhile, perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So let's find the slope of the line 4x-7y=2

The equation of the line is in standard form, which is ax+by=c, where a, b, and c are integer coefficients a is non-negative, and a and b aren't 0

So let's find the slope of the line 4x-7y=2

One way to do that is to convert the equation of the line from standard form to slope-intercept form

Our goal is to isolate y onto one side

Subtract 4x from both sides

-7y=-4x+2

Divide both sides by -7

y=\(\frac{4}{7}x-\frac{2}{7}\)

So the slope of the line 4x-7y=2 is \(\frac{4}{7}\)

Now, we need to find the slope of the line perpendicular to it

Use this formula: \(m_1*m_2=-1\)

\(m_1\) in this case is \(\frac{4}{7}\)

\(\frac{4}{7}m_2=-1\)

Multiply both sides by \(\frac{7}{4}\)

m=\(-\frac{7}{4}\)

Let's see the equation of the perpendicular line so far in slope-intercept form:

y=\(\frac{-7}{4}x\)+b

We need to find b now

The equation of the line passes through (-6,1), so we can use it to solve for b.

Substitute -6 as x and 1 as y

\(1=-\frac{7}{4}*-6+b\)

Now multiply

1=\(\frac{42}{4}+b\)

Subtract 42/4 from both sides to isolate b

-19/2=b

Substitute -19/2 as b into the equation

The equation in slope-intercept form y=\(\frac{-7}{4}x-\frac{19}{2}\)

Now, here's the equation in point-slope form

Recall that the slope is \(\frac{-7}{4}\) , our point is (-6, 1), and point-slope form is \(y-y_1=m(x-x_1)\)

Let's label the value of everything to avoid any confusion

\(m=-\frac{7}{4} \\x_1=-6\\y_1=1\)

Now substitute those values into the equation

\(y-1=-\frac{7}{4}(x--6)\)

We can simplify the x--6 to x+6

\(y-1=-\frac{7}{4}(x+6)\)

Hope this helps!

Answer:

6.40 cus I got it right ona test

Step-by-step explanation:

Answer:

B: 6.40

Step-by-step explanation:

The population of Pleasantville today is given as follows:

30,025.

The population of the town of Smithville was 15,000 ten years ago, and today it is of 25,000, hence, considering an exponential function, the growth rate is given as follows:

\(b^10 = \frac{25}{15}\)

\(b = \left(\frac{25}{15}\right)^{\frac{1}{10}}\)

b = 1.0524978.

The population of Pleasantville was 18,000 ten years ago, hence it's current population is obtained as follows:

\(18000(1.0524978)^{10} = 30025\)

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Answer:

1 kg I thik it is right ans

Answer:

6297g

You add the weight of the trailer after the paint cans were removed with the weight of the lumber

Answer:

e

Step-by-step explanation:

because 2 sides are given........and any of 1 side or angle is missing...

hope it is helpful for you ❤️

please thanks my answer

i am indian

Attention is a vital aspect of mental processing since it is responsible for selecting and processing relevant information in the environment. When we concentrate on something, we are effectively filtering out distractions and concentrating on the task at hand, which enables our mental processes to function more effectively. Attention is necessary for both selective attention and divided attention, which are two critical mechanisms for cognitive functioning.

Factor of mental processes: Attention is a factor of mental processes. The cognitive processes related to memory, attention, and information processing are referred to as mental processes. Perception, reasoning, and problem-solving are all mental processes that are critical to daily life. Memory, perception, attention, and reasoning are all related, and they are used to create a holistic image of the world in which we live.

It is necessary to devote attention to the tasks at hand in order to guarantee that mental processes function effectively. Attention is defined as the process of concentrating mental efforts on a specific stimulus. It is considered a critical mechanism for the selection, processing, and integration of information. Attention is essential for several mental processes, including perception, memory, and problem-solving.

To understand the importance of attention in mental processes, we must first examine the two primary functions of attention: Selective attention. Divided attention, Selective attention is the ability to focus on one stimulus while ignoring others. It involves filtering out irrelevant information and concentrating on what is significant. Divided attention, on the other hand, is the ability to focus on several tasks at once, but only if they do not require significant cognitive processing.

Explanation: In conclusion, attention is a vital factor of mental processes. Mental processes are complex functions that include memory, perception, attention, and reasoning, among other things. They enable us to interact effectively with our environment. Attention is critical for efficient functioning of the cognitive processes involved in mental processes. In cognitive psychology, attention is recognized as a crucial mechanism for selection, processing, and integration of information, and is necessary for perception, memory, and problem-solving. Attention is a vital aspect of mental processing since it is responsible for selecting and processing relevant information in the environment. When we concentrate on something, we are effectively filtering out distractions and concentrating on the task at hand, which enables our mental processes to function more effectively. Attention is necessary for both selective attention and divided attention, which are two critical mechanisms for cognitive functioning.

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Explanation:- When they had asked, Round 468986 to the nearest thousand, You should know that :-

Th H T O

4 6 8 9 8 6

So, Here In Thousand place we have 8.

Then see the all numbers after 8 That is :-

8986

So 8986 is nearest to 9000

Therefore, answer will be 469000.

the answer is 469000 hope it help's

Answer:

Blank 1 = -1

Blank 2 = 2

Blank 3 = 4

Blank 4 = 7

Blank 5 = 79

Step-by-step explanation:

Blank 1 has an input of 1 we have to square 1

1 squared = 1

Then we subtract 2

1 - 2 = -1

Blank 2 has an input of 2 we have to square 2

2 squared = 4

Then subtract 2

4 - 2 = 2

Blank 3 has an output so we have to do the opposite of what we would for an input

Blank 3 has an output of 14 so we add 2

14 + 2 = 16

then we have to do the square root

The Square root of 16 = 4

So the input was 4

Blank 4 has an output of 47

47 + 2 = 49

The square root of 49 = 7

So the input was 7

Blank 5 has an input of 9

9 squared = 81

81 - 2 = 79

So the output is 79