Which statement best compares the graphs of y = –3xn and y = 3xn?

Which Statement Best Compares The Graphs Of Y = 3xn And Y = 3xn?

Answers

Answer 1

Answer: choice B

Step-by-step explanation:

The graph of y=-3x^n is the reflection of the graph of y=3x^n about the x-axis.

Answer 2

Answer: B

Step-by-step explanation:

Which Statement Best Compares The Graphs Of Y = 3xn And Y = 3xn?

Related Questions

Can someone plz help me solved this problem I need help ASAP plz help me! Will mark you as brainiest!

Answers

Answer:

8

Step-by-step explanation:

y²+by+16= (y+4)²

y²+by+16= y²+2*4*y+4²

y²+by+16= y²+8y+16

by=8y

b=8

Find the mode for the following distribution.
Number Frequency
16
3
20
5
24
9
28
7
32
7
36
5
40
3
24
28
32
28 and 32

Answers

Answer:

28 and 32

Step-by-step explanation:

they have the most

Assignment
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
f(-1) =
f(1) =
f(2)=
>

Answers

Answer:

The value of the function f(x) at x=a can be determined by substituting a instead of x into the function expression.

1. When x=-1, then

f(-1) = 2 * (-1)^3 - 3 * (-1)^2 + 7 = -2 - 3 + 7 = 2.

2. When x=1, then

f(1) = 2 * 1^3 - 3 * 1^2 + 7 = 2 - 3 + 7 = 6.

3. When x=2, then

f(-1) = 2 * 2^3 - 3 * 2^2 + 7 = 16 - 12 + 7 = 11.

Step-by-step explanation:

Answer:

f(−1) =✔ 2

f(1) = ✔ 6

f(2) =✔ 11

Step-by-step explanation:

I need the answers for 21 and 22

Answers

Answer:

21.b

22.c

Step-by-step explanation:

idk how to explain it lol I did mental math

what is the radius of the circle that has an area of [tex]81*x*pi[/tex] degrees

Answers

Answer:

R=9

Step-by-step explanation:

the formula for area of a circle is pi r squared

where r denotes the radius of the circle

equating the formula for area with the area of the circle provided

p\i r squared = 81 p\i

r squared = 81

r = radical 81

r =9 inches

Two number cubes are rolled for two separate events:


Event A is the event that the sum of numbers on both cubes is less than 10.

Event B is the event that the sum of numbers on both cubes is a multiple of 3.

Complete the conditional probability formula for event B given that event A occurs first by writing A and B in the blanks:

P ( _a0 | _a1) = P ( _a2 ∩ _ a3)
___________
P ( _a4)

Answers

Answer:  [tex]\bold{P(B|A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{11}{30}}[/tex]

Step-by-step explanation:

The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)

[tex]P(B|A)=\dfrac{P(B\cap A)}{P(A)}[/tex]

P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)

          (2, 6), (2, 5), (2, 4), (2, 3), (2, 2), (2, 1)

          (3, 6), (3, 5), (3, 4), (3, 3), (3, 2), (3, 1)

                    (4, 5), (4, 4), (4, 3), (4, 2), (4, 1)

                              (5, 4), (5, 3), (5, 2), (5, 1)

                                        (6, 3), (6, 2), (6, 1)

       = 30

P(B) = (1, 2), (2, 1)                                   sum = 3

          (1, 5), (2, 4), (3, 3), (4, 2), (5, 1)    sum = 6

          (3, 6), (4, 5), (5, 4), (5, 4), (6, 3)  sum = 9

          (6, 6)                                           sum = 12

                       

      = 12

P(A ∩ B) =  (1, 2), (2, 1)

                  (1, 5), (2, 4), (3, 3), (4, 2), (5, 1)

                  (3, 6), (4, 5), (5, 4), (5, 4), (6, 3)

             = 11

If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by
P
(
x
)
=
p
(
1

p
)
x

1
where
p
is the probability of success on any one trial.

Assume that the probability of a defective computer component is 0.21. Find the probability that the first defect is found in the fifth component tested.
(Round answer to four decimal places.)
P
(
5
)
=

Answers

Answer:

M.

Step-by-step explanation:

Please help. I’ll mark you as brainliest if correct!!!!!

Answers

[tex]x^2+14x+40=0\\x^2+14x+40+9-9=0\\x^2+14x+49=9\\(x+7)^2=9\\\\D=7\\E=9[/tex]

Answer:

x^2+14x+40=0\\x^2+14x+40+9-9=0\\x^2+14x+49=9\\(x+7)^2=9\\\\D=7\\E=9

Step-by-step explanation:

m^2-3m+2/m^2-m. Simplify

Answers

Answer:

Step-by-step explanation:

factor out the numerator and demoninator

(m-2)(m-1)/m(m-1)

= (m-2)/m

Help asap giving branlist!!!

Answers

Answer:

Option 2

Step-by-step explanation:

The question states "the width of the rectangle is 4 less than half the length."  Since we are looking for the value of w, w will be equal to the expression we create.  We start with half the length and than subtract 4 from it.  This is because it says 4 less than half the length, not half of 4-length or another variation.  In many of these problems the best way to solve them is by working backwards.

Answer:

Option 2

Step-by-step explanation:

Translating these words into math, we get w = 1/2l - 4 which is Option 2.

what is 2/3 of 460? Just a little easy one for points​

Answers

Answer:

2/3 * 460 = 306 and 2/3

Multiply 460 by 2/3 by first multiplying 460 by 2, then divide that by 3:

460 x 2 = 920

920 /3 = 306 2/3

The answer is 306 2/3

A fraction with a zero in the numerator equals

Answers

Answer:Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero. all have a fraction value of zero because the numerators are equal to zero.

Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find the percentile corresponding to the data speed 11.2 Mbps. 0.1 0.2 0.2 0.3 0.4 0.4 0.4 0.5 0.5 0.6 0.6 0.8 0.9 0.9 0.9 1.1 1.3 1.7 1.8 1.9 2.3 2.4 2.5 2.6 2.7 3.1 3.5 3.5 3.7 3.8 4.8 5.2 7.4 7.9 8.2 8.6 9.3 11.2 11.3 11.4 12.1 12.6 13.1 13.3 13.6 13.8 14.6 15.6 15.7 25.6

Answers

Answer: the percentile is 74%

Step-by-step explanation:

The given data distribution is arranged in increasing order as:

0.1 0.2 0.2 0.3 0.4 0.4 0.4 0.5 0.5 0.6 0.6 0.8 0.9 0.9 0.9 1.1 1.3 1.7 1.8 1.9 2.3 2.4 2.5 2.6 2.7 3.1 3.5 3.5 3.7 3.8 4.8 5.2 7.4 7.9 8.2 8.6 9.3 11.2 11.3 11.4 12.1 12.6 13.1 13.3 13.6 13.8 14.6 15.6 15.7 25.6

The total number of values given in the data is 50

Percentile = number of values in the distribution lesser than the given value × 100/ total number of values in the distribution

Considering the data speed of 11.2 Mbps, the number of data speed lower than 11.2 is 37

Percentile = (37 × 100)/50 = 74%

Select all of the following statements that are true:
A. Random samples only generate unbiased estimates of long-run proportions, not long-run means.
B. You shouldnt take a random sample of more than 5% of the population size.
C. There is no way that a random sample of 100 people can be representative of all adults living in the United States.
D. If this question is voted out, the alternate option is "larger samples are always better than smaller samples, regardless of how the sample was collected."
E. Nonrandom samples are always poor representations of the population

Answers

Answer:

B. You shouldnt take a random sample of more than 5% of the population size.

Step-by-step explanation:

B. You shouldnt take a random sample of more than 5% of the population size. This is True, so as to avoid the research analysis to be more complex to interpret and analyzed

However, the following are not true statements:

A. Random samples only generate unbiased estimates of long-run proportions, not long-run means. This is False, as there may be sampling error, when picking the sample, which will lead to bias estimates in the long run proportions

C. There is no way that a random sample of 100 people can be representative of all adults living in the United States. This is False, as using the right factors such as gender, age, income, etc, in selecting the sample, 100 people is enough to use as sample of adults living in the United States

D. If this question is voted out, the alternate option is "larger samples are always better than smaller samples, regardless of how the sample was collected." This is False, larger samples are not always better than smaller samples. In fact, they are often difficult to analyze and interpret.

E. Nonrandom samples are always poor representations of the population: This is False, depending on the expected outcome of the research study. Some research studies required the research to use Nonrandom samples to reach verifiable conclusion.

There are 10 balls in a bag, 4 red balls and 6 black balls. If you pick one red ball, you will take it without replacement. If you pick one black ball, you will return it into the bag. Now you pick two times and each time you can only take one ball. What is the probability that you will pick two red balls

Answers

Answer:

The probability of selecting two red balls is 0.132.

Step-by-step explanation:

In a bag there are 10 balls in a bag, 4 red balls and 6 black balls.

The conditions of selecting a ball are:

If you pick one red ball, you will take it without replacement. If you pick one black ball, you will return it into the bag.

It is also provided that only one ball can be picked at a time.

Now, it is given that two balls are picked.

The number of ways to select a red ball in the first draw is: [tex]{4\choose 1}=4\ \text{ways}[/tex]

Compute the probability of selecting a red ball in the first draw as follows:

[tex]P(\text{First ball is Red})=\frac{{4\choose 1}}{{10\choose 1}}=\frac{4}{10}=0.40[/tex]

Now as a red ball is selected it will not be replaced.

So, there are 9 balls in the bag now.

The number of ways to select a red ball in the second draw is: [tex]{3\choose 1}=3\ \text{ways}[/tex]

Compute the probability of selecting a red ball in the second draw as follows:

[tex]P(\text{Second ball is Red})=\frac{{3\choose 1}}{{9\choose 1}}=\frac{3}{9}=0.33[/tex]

Compute the probability of selecting two red balls as follows:

[tex]P(\text{Two Red balls})=P(\text{First ball is Red})\times P(\text{Second ball is Red})[/tex]

                            [tex]=0.40\times 0.33\\\\=0.132[/tex]

Thus, the probability of selecting two red balls is 0.132.

Find the area of a circle with radius, r = 19cm.
Give your answer rounded to 3 SF.

Answers

1130cm square
Area formula is pixr^2
Pi x 19^2 = 1134.1149...

Shari wrote the numbers from 1 to 16 on a card.
Next, she crossed out all the numbers which are factors of 80.
Then, she crossed out all the numbers which are multiples of 3.
How many numbers were not crossed out?​

Answers

factors of 80: 1,2,4,5,8,10,16,20,40,80
so we cross out 1,2,4,5,8,10,16
the first 5 multiples of 3 are: 3,6,9,12,15
so we cross out those number and then we are left with 7, 11, 13 and 14
the answer is: 4 numbers were not crossed out

This table gives a few (x,y) pairs of a line in the coordinate plane. What is the y-intercept of the line? (full problem attached)

Answers

Answer:

(0,34)

Step-by-step explanation:

For each rise of 14 in the x direction, this graph rises by -8 in the y direction. This means that, when x is 0, and the graph intersects the y axis, the y value will be 50-8-8=34. Therefore, the y intercept of this line is (0,34). Hope this helps!

Answer:

The answer is (0,34)

WILL GIVE BRAINLIEST ANSWER ASAP

Answers

Answer:

x = -6

Step-by-step explanation:

-2/3x + 9 = 4/3x - 3

First we need to simplify to where we have x on one side and a constant (number not connected to a variable) on the other side.

Subtract 4/3x from both sides:

-2/3x + 9 - 4/3x = -3

-6/3x + 9 = -3

Now subtract 9 from both sides:

-6/3x + 9 - 9 = -3 - 9

-6/3x = -12

Now turn -6/3 into a whole number to make things more simple:

-6/3 = -2

-2x = -12

Now divide both sides by -2 to get x by itself

-2x/-2 = -12/-2

x = -6

Please answer this question I give brainliest thank you! Number 16

Answers

Answer:

4a

Step-by-step explanation:

The mean is found by adding all of the data set together and then dividing by the amount of individual pieces of data in the set.

(2+3+3+8) = 16

16/4=4

The answer is 4a.

Based on the type of equations in the system, what is the greatest possible number of solutions? StartLayout Enlarged left-brace 1st Row x squared + y squared = 9 2nd row 9 x + 2 y = 16 EndLayout

Answers

Answer:

2

Step-by-step explanation:

Given the system of equations:

[Tex]x^2+y^2=9\\9x+2y=16[/tex]

Comparing [Tex]x^2+y^2=9[/tex] with the general standard equation of a circle [Tex](x-h)^2+(y-k)^2=r^2[/tex].

The first equation is an equation of a circle centred at (0,0) with a Radius of 3.

The second equation 9x+2y=16 is a straight line equation.

A straight line can only intersect a circle at a maximum of 2 points.

Therefore the greatest possible number of solutions to the equations in the system is 2.

Answer:

2

Step-by-step explanation:

and jj is gay of outer banks

The table shows ordered pairs of the function y=8-2x What is the value of y when x = 8?

Answers

Answer:-8

Step-by-step explanation:

8 - 2 × 8

8 - 16

-8

Solve for x: 3x - 5 = 2x + 6.
Your answer

Answers

Answer:

3x-5=2x+6

x-5=6

x=11

3x-2x - 5 = 6
3x- 2x = 6+5
X = 11

A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 4 students' scores on the exam after completing the course: 12,7,13,11 Using these data, construct a 80% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

The 80% confidence interval for the average net change is (8.596, 12.904).

Critical value t=1.638.

Step-by-step explanation:

First, we calculate the mean and standard deviation of the sample:

[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{4}(12+7+13+11)\\\\\\M=\dfrac{43}{4}\\\\\\M=10.75\\\\\\s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2\\\\\\s=\dfrac{1}{3}((12-10.75)^2+(7-10.75)^2+(13-10.75)^2+(11-10.75)^2)\\\\\\s=\dfrac{20.75}{3}\\\\\\s=6.92\\\\\\[/tex]

We have to calculate a 80% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=10.75.

The sample size is N=4.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

[tex]s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.63}{\sqrt{4}}=\dfrac{2.63}{2}=1.315[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=4-1=3[/tex]

The t-value for a 80% confidence interval and 3 degrees of freedom is t=1.638.

The margin of error (MOE) can be calculated as:

[tex]MOE=t\cdot s_M=1.638 \cdot 1.315=2.154[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=M-t \cdot s_M = 10.75-2.154=8.596\\\\UL=M+t \cdot s_M = 10.75+2.154=12.904[/tex]

The 80% confidence interval for the average net change is (8.596, 12.904).

Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69.3 bpm. For a random sample of 140 adult​ males, the mean pulse rate is 69.8 bpm and the standard deviation is 11.2 bpm. Complete parts​ (a) and​ (b) below.

a. Express the original claim in symbolic form.
_,_,bpm

Answers

Answer:

Part a

Null hypothesis: [tex] \mu = 69.3[/tex]

Alternative hypothesis: [tex]\mu \neq 69.3[/tex]

Part b

[tex] z = \frac{69.8- 69.3}{\frac{11.2}{\sqrt{140}}}= 0.528[/tex]

Step-by-step explanation:

For this case we have the following info given :

[tex] \bar X = 69.8[/tex] the sample mean

[tex] n= 140[/tex] represent the sample size

[tex] s = 11.2[/tex] represent the standard deviation

Part a

And we want to test if the true mean is equal to 69.3 so then the system of hypothesis:

Null hypothesis: [tex] \mu = 69.3[/tex]

Alternative hypothesis: [tex]\mu \neq 69.3[/tex]

Part b: Find the statistic

The statistic is given by:

[tex] z= \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing the info we got:

[tex] z = \frac{69.8- 69.3}{\frac{11.2}{\sqrt{140}}}= 0.528[/tex]

Indicate which of the following situations inferential statistics: a. An annual stockholders' report details the assets of the corporation. b. A history instructor tells his class the number of students who received an A on a recent exam. c. The mean of a sample set of scores is calculated to characterize the sample. d. The sample data from a poll are used to estimate the opinion of the population. e. A correlational study is conducted on a sample to determine whether educational level and income in the population are related. f. A newspaper article reports the average salaries of federal employees from data collected on all federal employees.

Answers

Answer:

The situations c, d and e are Inferential statistics.

Step-by-step explanation:

Inferential statistics is used to determine reasons for a situation or phenomenon. It helps to draw conclusions grounded on extrapolations, and is hence fundamentally dissimilar from descriptive statistics that only summarizes the data that has truly been measured.

Descriptive statistics are short-term descriptive coefficients that condenses a given data set, which can be a demonstration of the whole or a sample of a whole population.

All descriptive statistics are either central tendency measure or variability measure. Measures of central tendency define the epicenter position of a distribution for a data set.  

From the provided situations the Inferential statistics are:

c. The mean of a sample set of scores is calculated to characterize the sample.

d. The sample data from a poll are used to estimate the opinion of the population.

e. A correlational study is conducted on a sample to determine whether educational level and income in the population are related.

Thus, the situations c, d and e are Inferential statistics.

The one that demonstrates inferential statistics would be:

c). The mean of a sample set of scores is calculated to characterize the sample.

d). The sample data from a poll are used to estimate the opinion of the population.

e). A correlational study is conducted on a sample to determine whether the educational level and income in the population are related.

Inferential Statistics

Inferential statistics is denoted as the kind of statistics that is concluded through a small sample employed which will act as the representative of the larger population.

The smaller sample's characteristics are analyzed and deductions are made in general about the entire population.

The above statements exemplify these characteristics by calculating the mean of the sample population and performing a correlational examination.

Thus, options c, d, and e are the correct answers.

Learn more about "Statistics" here:

brainly.com/question/14318705

What’s the correct answer for this question?

Answers

Answer:

1)

Volume of pyramid = 1/3(Ab)(h)

Where Ab is the area of base, h is height

Volume of cone = 1/3(Ab)(h)

a) Their formula for finding volume is same. Also, their painting heads are same.

b) Pyramids have a tetragonal base while cones have a polygonal base

2) Pyramids

Volume of cone = (1/3) πr²h

Since Area of a circle = πr²

So

Volume of pyramid = (1/3)(A)(h)

So we can use the formula of a circle in cone's formula

Answer:

i dont know but i want points

Step-by-step explanation:

hehehe

What is the value of Y ? I’ll give you a brainslist !!!

Answers

[tex]answer \\ = 5 \sqrt{3} \\ please \: see \: the \: attached \: picture \: for \: \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

[tex]5 \sqrt{3} [/tex]

First answer is correct

Step-by-step explanation:

[tex] \frac{5}{x} = \cos(60) \\ \frac{5}{x} = \frac{1}{2} \\ x = 10 \\ \frac{y}{x} = \sin(60 ) \\ \frac{y}{10} = \frac{ \sqrt{3} }{2} \\ 2y = 10 \sqrt{3} \\ y = \frac{10 \sqrt{3} }{2} \\ y = 5 \sqrt{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

A jury pool has 15 men and 21 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the probability that the jury consists of:_____
(a) all men
(b) all women
(c) 8 men and 4 women
(d) 6 men and 6 women
Give all answers accurate to four decimal places.

Answers

Answer:

(a) all men = 3.6351 * 10^ -7

(b) all women = 2.3483* 10^ -4

(c) 8 men and 4 women = 0.0308

(d) 6 men and 6 women= 0.2170

Step-by-step explanation:

A jury pool has 15 men and 21 women, from which 12 jurors will be selected.

Total = 36 people

Probability of

(a) all men

= 15C12/36C12

= 455/1251677700

= 3.6351 * 10^ -7

(b) all women

= 21C12/36C12

= 293930/1251677700

= 2.3483* 10^ -4

(c) 8 men and 4 women

=( 15C8 * 21C4)/36C12

= (6435*5985)/1251677700

= 38513475/1251677700

= 0.0308

(d) 6 men and 6 women

= (15C6 * 21C6)/(36C12)

= (5005*54264)/1251677700

= 271591320/1251677700

= 0.2170

The radius of a circle is 5 cm. Find its area to the nearest tenth.

Answers

Answer:

78.5 cm^2

Step-by-step explanation:

The area of a circle is found by

A = pi r^2

A = pi (5)^2

A = 25pi

Letting pi = 3.14

A = 25(3.14)

A =78.5 cm^2

Letting  pi be the pi button

A =78.53981634

Rounding to the nearest tenth

78.5

Answer:

78.5 cm²

Step-by-step explanation:

The area of a circle can be found using the following formula.

a=πr²

We know the radius of the circle is 5 centimeters.

r=5

Substitute 5 in for r.

a=π(5²)

Evaluate the exponent. 5² is equal to 5*5, which equals 25.

a=π(25)

Multiply 25 and pi

a=78.5398163397

Round to the nearest tenth. The 3 in the hundredth place tells use to leave the 5 in the tenths place as is.

a≈78.5

Add appropriate units. Area always uses units², and the units in this case are centimeters.

a≈78.5 centimeters²

The area of the circle is about 78.5 square centimeters.

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It will lead to sources that discuss other New Deal programs.B. It will eliminate lost time finding information about other New Dealprograms.C. It will help the student locate facts about the causes of the GreatDepression.O D. It will help uncover criticisms of the New Deal program.SUBMIT Hi All, I have some Maths Questions for you all to have a look at. Please answer - I am giving 20 points! I will mark Brainliest as well. Take care, Jake Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of (no approximations). What story element does the author develop in thisexcerpt?plot details about the partycharacterization of the Linscharacterization of the Gleasonssetting details about the Gleasons' house Factor: b2-3b-4Multiplying QuadraticsBox Method Simplify the following expression.4 - (x - 3) Who was the first governor ofMassachusetts after the AmericanRevolution?A. John AdamsB. Samuel AdamsC. John Hancock Evans Ltd. is now considering the possibility of offering a lifetime membership option to its subscribers. Under this proposal, subscribers could receive the monthly newsletter throughout their lives by paying a flat fee of $480. The one-year subscription rate of $40 would continue to apply to new and existing subscribers who choose to subscribe on an annual basis. Assume that the average age of Evans Ltd.'s current subscribers is 38 and their average life expectancy is 78 years. Evans Ltd.'s average interest rate on long-term debt is 12%.Using the information given, calculate the present value of a lifetime membership for an average. (Round PV factors to 4 decimal places and final answer to 2 decimal places.) I AM GIVING BRAINLIEST! PLEASEEEEEEEEEEE HELPPPPP I NEEED HELPPPP PLEASEEEEFind the molecular formula for a compound with-4.04 g N, 11.46 g O, molar mass 108.0 g/mol.? moles N =? moles O =N : O =empirical formula =molecular mass of empirical formula =The molar mass ratio of (molecular formula/empirical formula) =molecular formula = what causes water to enter plant roots from the soil?a. water concentration in root hairs and the soil are equal.b.water concentration in root hairs and the xylem are equal.c.water concentration in root hairs is higher than in the soild.water concentration in root hairs is lower than in the soil The first digit in any number must be 1, 2, 3, 4, 5, 6, 7, 8, or 9 because we do not write numbers such as 15 as 015. While it is reasonable to think that for most real-life data each digit occurs with equal frequency so that each digit 1, 2, ..., 9 has probability 1/9 of being the first digit, this is not true. It is a surprising phenomenon that in many naturally occurring numbers and web-based data the first digit has a probability distribution known as Benford's law. Benford's law, also called the first-digit law, states that in lists of numbers from many (but not all) real-life sources of data, the leading digit is distributed in a specific, non-uniform way. Specifically, for d = 1, 2, 3, 4, 5, 6, 7, 8, 9, Benford's law states P(first digit is d) = log_10(1+(1/d)) . The distribution of the first digit according to Benford's law, calculated to 3 decimal places, is shown in the table below. Benford's lawFirst Digit X 1 2 3 4 5 6 7 8 9 Probability .301 .176 .125 .097 .079 .067 .058 .051 .046 Benford's Law and the Equally Likely Model benford equally likely The law is named after physicist Frank Benford, who stated it in 1938, although it had been previously stated by Simon Newcomb in 1881. A surprising variety of data from the natural sciences, social affairs, and business obeys Benford's law. This result has been found to apply to a wide variety of data sets, including electricity bills, street addresses, stock prices, population numbers, death rates, lengths of rivers, physical and mathematical constants, and processes described by power laws (which are very common in nature). Numbers that are assigned, such as social security numbers and zip codes, or data with a fixed maximum, such as deductible contributions to individual retirement accounts, or randomly generated numbers, do not follow Benford's law. The figure below shows how the distribution of the first digit of various naturally occurring and web-based data compares with Benford's law. benford natural data web data Figure information. Earthquakes: depth in km of 248,915 quakes, 1989-2009; source National Earthquake Information Center, United States Geological Survey. Minnesota lakes: size in acres of approx. 1100 lakes; source Wikipedia. Births: number of births in each county of the United States (approximately 3200), 2010; source: US Census Bureau. Diggs: total number of diggs for each of the top 1000 diggers at digg.com; source: socialblade.com. Question 1: (1a). What is the expected value of the first digit when the first digit follows Benford's law? expected value (Use 3 decimal places). (1b). What is the expected value of the first digit when the possible first digits are equally likely? expected value (Use 3 decimal places).(1c). What is the standard deviation of the first digit when the first digit follows Benford's Law? The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid.Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the largerpyramid?9/163/44/316/9 Which one of these contains an atom of phosphorus?Nitrogenous base Pentose Sugar Phosphate Group every input/output of a computer is effectively a type of? Factor to find the zeros of the function k(x) = x2+ 10x - 200. WILL GIVE BRAINLIEST!!!!! will give brainliest!!!!! ---------Write the molecular equation, complete ionic equation and net ionic equation of Barium nitrate reacting with potassium carbonate. The term citizenship means that citizens in a country:A. are required to vote in every national election.B. have certain rights, duties, and responsibilities.c. must complete the naturalization process.D. have to have been born in the country.