what kind of regular polygons can be used for regular tessellations

Answers

Answer 1

3 Answers:  

Equilateral trianglesSquaresRegular Hexagons

==============================================

Reason:

The interior angle formula of a regular polygon is

i = 180*(n-2)/n

where n = number of sides, and i = interior angle in degrees.

If n = 3, then each interior angle would be i = 60. Note how this interior angle is a factor of 360. This explains why equilateral triangles are a type of regular polygon that tessellates the plane.

If n = 4, then i = 90 which is also a factor of 360. This means squares are another type of regular polygon that tessellate the plane.

Unfortunately n = 5 leads to i = 108 which is not a factor of 360; therefore, regular pentagons do not tessellate the plane.

Luckily, n = 6 works because i = 120 is a factor of 360.

Any larger value of n will lead to some value of i that isn't a multiple of 360. Therefore, only equilateral triangles, squares, and regular hexagons are the only regular polygons that tessellate the plane.


Related Questions

Based on meteorological records the probability that it will snow in a certain town on January 1st is 0.185. Find the probability that in a given year it will not snow on January 1st in that town rack Dic 0.815 0.227 ack Die 5.405 1.185 ack Die

Answers

The probability that it will not snow on January 1st in that town in a given year is 0.815.

Based on the meteorological records, A probability forecast includes a numerical expression of uncertainty about the quantity or event being forecast. Ideally, all elements (temperature, wind, precipitation, etc.)

The probability that it will not snow in a certain town on January 1st in a given year is 0.815. Here's how to arrive at the answer:Given that the probability of snowing on January 1st in that town is 0.185. Then, the probability of not snowing on January 1st is 1 - 0.185 = 0.815.

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The given information probability of it not snowing on January 1st of a given year in that town is 0.815.

Therefore, the probability of it not snowing on January 1st of a given year in that town is 0.815.

Here's how to solve the problem: Given: The probability of it snowing on January 1st of a given year in that town is 0.185. The complement of the probability of it snowing on January 1st is the probability of it not snowing on January 1st of a given year in that town, which is:

P(not snowing on January 1st) = 1 - P(snowing on January 1st)

P(not snowing on January 1st) = 1 - 0.185

P(not snowing on January 1st) = 0.815

Therefore, the probability of it not snowing on January 1st of a given year in that town is 0.815.

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Should i trust the links people say "Their is an imagine in this link that contains the answer" usually these links are from sus profiles. So should i use it or no?​

Answers

Answer:

no don't ever click on links okay.

Step-by-step explanation:

answer easy question quick ​

Answers

Answer:

Step-by-step explanation:

a) 9.80- 98/10

b) 7.3- 73/10

a) 7/100- 0.07

b) 82/10- 8.2

Hope this helps

Fraction:

a) 98/100

b) 73/10

Decimal:

a) 0.07

b) 8.2

Suppose you invest $188.00 in an account earning 2.80% APR. When will you have one million dollars in the account? Round your answer to two decimal places, i.e. 5.45

Answers

Answer: You will have one million dollars in the account after approximately 84.89 years.

APR is a yearly percentage rate that reflects the actual cost of borrowing on loans and investments. The APR is the rate of interest that must be charged on the balance of a savings account to attain a certain goal in the specified time period. The formula for compound interest is used in this case. The formula for compound interest is:A=P(1+r/n)^(nt)Where: A = amount P = principal (initial amount) r = annual interest rate (as a decimal) n = number of times interest is compounded per year t = number of years In this scenario: A = $1,000,000P = $188.00r = 0.028n = 1 (compounded once per year)t = unknown. Now let's solve for t:1,000,000 = 188(1 + 0.028/1)^(1t)ln (5,319.15) = t ln (1.028) ln (5,319.15) = 0.028t84.89 years = t Therefore, it will take approximately 84.89 years to reach one million dollars in the account.

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What is your dream career and why ?

Answers

Answer:

Step-by-step explanation:

Professional dancers cause I’ve danced since I was 3 and I’ve always wanted to do it. And I wanna model on the side

Answer:

Detective/Forensics scientist

Step-by-step explanation:

I want to be a detective/ forensic scientist because I am interested in science and investigating.

Dubnium-262 has a half-life of 34 s. How long will it take for 500.0 grams to

decay to just 1.0 g? *

Answers

Answer:

the time taken for the radioactive element to decay to 1 g is 304.8 s.

Step-by-step explanation:

Given;

half-life of the given Dubnium = 34 s

initial mass of the given Dubnium, m₀ = 500 grams

final mass of the element, mf = 1 g

The time taken for the radioactive element to decay to its final mass is calculated as follows;

[tex]1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} = (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500}) = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s[/tex]

Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.

The time required to decay 500 grams to 1 gram is 304.8 seconds and this can be determined by using the given data.

Given :

Dubnium-262 has a half-life of 34 s.

Final mass = 1 gram

Initial mass = 500 gram

Time taken by a radioactive element to decay is:

[tex]1 = 500(0.5)^{\frac{t}{34}}[/tex]

Simplify the above equation.

[tex]\rm \dfrac{1}{500} = (0.5)^{\frac{t }{34}}[/tex]

Now, take the log on both sides in the above equation.

[tex]\rm log(0.002 ) = \dfrac{t}{34}\times log(0.5)[/tex]

[tex]\rm \dfrac{log(0.002)}{log(0.5)} \times 34 = t[/tex]

t = 304.8 sec

So, the time required to decay 500 grams to 1 gram is 304.8 seconds.

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If the perimeter of a rectangle is 24 cm and one dimension is 10 cm, what is the area?

Answers

Answer:

40

Step-by-step explanation:

Answer:

24-10-10=4

4/2=2

10*2=20

20

Step-by-step explanation:

Find the potential function f for the field F.
F = -1/x i+1/y j-1/z k

Answers

The potential function for the given field is f = ln |y| - ln |z| - ln |x| + C, where C is a constant of integration.

Given field is F = (-1/x) i+ (1/y) j- (1/z) k

The potential function f is given by

∂f/∂x = -1/x .........(1)∂f/∂y = 1/y .........(2)∂f/∂z = -1/z .........(3)

Using the equation (1)

we get

f = -ln |x| + C1

Using the equation (2)

we get

f = ln |y| + C2

Using equation (3) we get

f = -ln |z| + C3

On adding the above three equations we get

f = ln |y| - ln |z| - ln |x| + C

where C = C1 + C2 + C3 is a constant of integration.

Therefore, the potential function for the given field is f = ln |y| - ln |z| - ln |x| + C, where C is a constant of integration.

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If p(x)= 2^x, what is the value of p(3) - p(2)?

Answers

Answer:

4

Step-by-step explanation:

p(3) = 2³ = 8

p(2) = 2² = 4

8-4 = 4

A recent stocktake measured the price of BBQs at a large hardware store. From the stocktake, it was determined that the price was normally distributed with a mean of 500 dollars and a standard deviation of 50 dollars. Twenty per cent of the BBQs would cost more than what price? Select from the answers below.

575.5

542

526

459

Answers

The price at which twenty percent of the BBQs would cost more is $542 and it follows a normal distribution.

In this case, we are given that the price of BBQs at a large hardware store follows a normal distribution with a mean of $500 and a standard deviation of $50. We want to find the price at which twenty percent of the BBQs would cost more.

To solve this problem, we need to find the value, denoted as x, for which 20% of the BBQs are priced higher. This can be done by finding the z-score corresponding to the 20th percentile and then converting it back to the original scale.

The z-score is calculated using the formula:

z = (x - μ) / σ,

where μ is the mean and σ is the standard deviation.

To find the z-score corresponding to the 20th percentile, we can use a standard normal distribution table or a statistical calculator. The z-score corresponding to the 20th percentile is approximately -0.84.

Now we can use the z-score to find the corresponding value in the original scale:

-0.84 = (x - 500) / 50.

Solving for x, we get:

-0.84 * 50 = x - 500,

-42 = x - 500,

x = 500 - 42,

x = 458.

So, twenty percent of the BBQs would cost more than $458. However, since we need to choose from the given options, the closest price to $458 is $459.

Therefore, the answer is $459.

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In the lexicographic ordering of the permutations of the set {A,B,C,D,E,F,G,H} , what is the next permutation after GAEDBHFC? (Assume the usual alphabetic order of letters.)
a. HAEFBDCG b. GAEDCBFH c. DEHBFGCA d. None of the other answers is correct. e. FDAEGBCH

Answers

In the lexicographic ordering of the permutations of the set {A,B,C,D,E,F,G,H} , the next permutation after GAEDBHFC will be GAEDBHFD.

What is lexicographic ordering?

Lexicographic ordering or dictionary ordering is a way of ordering elements based on their alphabetical or numerical values.

To find the next permutation in the lexicographic ordering, we need to find the smallest possible permutation that is greater than GAEDBHFC by considering the order of the letters.

Let's analyze the given permutation:

GAEDBHFC

To find the next permutation, we start from right to left and look for the first occurrence of a letter that can be replaced by a greater letter. In this case, the first such occurrence is "C" (after "H").

Next, we need to find the smallest letter that is greater than "C" from the remaining letters. From the letters {C, D, E, F, G, H}, the smallest greater letter than "C" is "D".

Now, we swap "C" with "D":

GAEDBHFD

After swapping, we need to sort the remaining letters in ascending order to obtain the smallest permutation. The remaining letters are {B, E, F, G, H}. Sorting them gives:

GAEDBHFD

Therefore, the next permutation after GAEDBHFC is GAEDBHFD.

The correct answer is:

b. GAEDBHFD

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The mean score in a physics test is 75% with the standard deviation 6.5%. Suppose that the scores in the test are approximately normally distributed. What is the probability that a randomly selected student scores more than 82%? Round your answer for 4 decimal places.

__________

Answers

The probability that a randomly selected student scores more than 82% on the physics test, we can use the standard normal distribution and the given mean and standard deviation.

The z-score formula is given by z = (x - μ) / σ, where z represents the z-score, x is the observed value, μ is the mean, and σ is the standard deviation. In this case, the observed value is 82%, the mean is 75%, and the standard deviation is 6.5%. Plugging these values into the formula, we calculate the z-score as z = (0.82 - 0.75) / 0.065 = 1.0769.

Next, we need to find the area to the left of the z-score in the standard normal distribution table or using a calculator. The area to the left of 1.0769 corresponds to the probability of scoring less than 82%. Let's assume this area is P(z < 1.0769).

The probability of scoring more than 82%, we subtract P(z < 1.0769) from 1: P(z > 1.0769) = 1 - P(z < 1.0769).

Using a standard normal table or a calculator, we can find P(z < 1.0769) to determine the probability.

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Please help me finish this i will give brainlest :) to the first person.

Answers

Answer: 8

Step-by-step explanation:

64 ÷[4* 27 (-5^2

-5 times -5 =25

27-25=2

4*2=8

64 divided by 8= 8

8 is your answer

What is the value of x in the equation below?
12 – 2(x-1)=6

Answers

X=25 in this equation. But if u divide by 12 it’s -25
X=-2
You would distribute the -2 and Zoe 1 and 1*-2=-2



Which figure can be formed from the net?

Answers

Answer:

#1 is the answere

Step-by-step explanation:

Check the sides

The average American consumes 81 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 10 randomly selected college students and found that they averaged 97.7 liters of alcohol consumed per year with a standard deviation of 23 liters. What can be concluded at the the α = 0.01 level of significance?

Answers

The α = 0.01 level of significance, we can conclude that the average alcohol consumption of college students is significantly higher than that of the average American population.

To determine if the average alcohol consumption of college students is significantly different from the average consumption of the average American, we can conduct a hypothesis test.

Let's set up the hypotheses:

Null hypothesis (H0): The average alcohol consumption of college students is equal to the average American consumption. (μ = 81)

Alternative hypothesis (H1): The average alcohol consumption of college students is greater than the average American consumption. (μ > 81)

We can use a one-sample t-test to analyze the data. Since we don't have information about the population standard deviation, we'll use the t-distribution and the sample standard deviation instead.

Given that the sample mean (x) of the 10 randomly selected college students is 97.7 liters and the sample standard deviation (s) is 23 liters, we can calculate the t-statistic using the following formula:

t = (x - μ) / (s / √n)

Where:

x = sample mean

μ = population mean

s = sample standard deviation

n = sample size

Plugging in the values, we get:

t = (97.7 - 81) / (23 / √10)

Calculating this expression gives us the t-value.

However, we also need to determine the critical value for the test based on the significance level (α = 0.01) and the degrees of freedom = n - 1.

Since we have 10 randomly selected college students = 10 - 1 = 9.

To find the critical value, we can consult the t-distribution table. With α = 0.01 and df = 9, the critical t-value is approximately 2.821.

Comparing the calculated t-value to the critical t-value, we can draw a conclusion. If the calculated t-value is greater than the critical t-value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

Now let's calculate the t-value:

t = (97.7 - 81) / (23 / √10)

≈ 16.700

Since the calculated t-value (16.700) is much greater than the critical t-value (2.821), we can reject the null hypothesis.

Therefore, based on the given data and the α = 0.01 level of significance, we can conclude that the average alcohol consumption of college students is significantly higher than that of the average American population.

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Stop and Shop sells 6 cases of Pepsi for $21.60. What is the constant of proportionality?

Answers

Answer: $3.60 per case

Step-by-step explanation: $21.60 divided by 6 = 3.60

Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.

12x + 15y = 34
-6x + 5y = 3

Answers

Answer:

x=5/6 and y=8/5

(5/6 , 8/5)

Step-by-step explanation:

You can use the elimination method! The point of this method is to add or subtract one equation from the other, multiplying them by constants if necessary, to cancel out one variable so you can solve for the other. Then, you can plug the value you got for your solution into either equation to solve for the other. I'll demonstrate.

Look at the two equations and the coefficients of both variables. You have 12x and -6x -- 6*2=12, so this is perfect. (You could also eliminate the y because 5*3=15, but I'll show you by eliminating the x instead.)

Here's what that looks like:

(-6x+1y=3)2

-12x+10y=6

So we just multiplied the second equation by 2 on both sides. Let's see how that helps us.

12x+15y=34

-12x+10y=6

If we add the two equations now, x will be canceled out and we can solve for y.

   12x+15y=34

+(-12x+10y=6)

___________

     0x+25y=40

           25y=40

0x=0, so we can get rid of the x. Now, we need to solve for y.

25y=40

y=40/25

You probably know how to simplify fractions, so divide both the numerator and the denominator by 5 to get y=8/5.

Now you can use this value in either equation and solve for x. I'll use the first. (This is called substitution.)

12x+15(8/5)=34

12x+3(8)=34 <-- What I did here is cancel out the 5 in the denominator with 15 to leave 3, because 5*3=15.

12x+24=34

12x=10

x=10/12

x=5/6 (Divide the numerator and denominator by 2.)

You can write your answer as a point, too. (5/6 , 8/5)

Rewrite the expression in the form x^n

Answers

Answer:

[tex]x^{\frac{5}{3} }[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} *\frac{5}{2} \\\\\frac{5}{3}[/tex]

Martina runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Answers

It may be 45 I think

Answer:

4.2 miles

Step-by-step explanation:

Martina runs 6 miles in 50 minutes, we have to find the rate at which she is running. Put it in a fraction [tex]\frac{6}{50}[/tex] or she runs 6 miles every 50 minutes. When we divide we get that she is running, 0.12 miles evrey minute. The question askes us how far Matina will run in 35 minutes, so we multiply 0.12 by 35, and we get that she will run 4.2 miles.

A person visits the store and picks up five kg vegetables for did he buy?
£6.25. Which vegetable
Tomato - £1.50 per kg Carrot - £1.75 per kg Cabbage - £2 per kg Beetroot - £1.25 per kg

Answers

the answer is beetroot

PLEASE HELP ME ASAP I SWEAR IT WOULD BE A BIG HELP.
Jethro has sat 5 tests.
Each test was marked out of 100 and Jethro's mean mark for the 5 tests is 74
Jethro has to sit one more test that is also to be marked out of 100
Jethro wants his mean mark for all 6 tests to be at least 77
Work out the least mark that Jethro needs to get for the last test. ​

Answers

This paper will discuss the mathematics involved in determining the least mark that Jethro needs to get for the last test in order to end up with a mean mark of 77 over all 6 tests.

Jethro has sat 5 tests and each test was marked out of 100. Therefore, Jethro’s marks for the 5 tests can be represented by x1, x2, x3, x4, and x5. Jethro’s mean mark for the 5 tests is 74, which can be represented by the mathematical equation: (x1 + x2 + x3 + x4 + x5) / 5 = 74.

Jethro needs to sit one more test that is also marked out of 100 and he wants his mean mark for all 6 tests to be at least 77. Therefore, the least mark that Jethro needs to get for the last test can be found by rearranging the equation to: (x1 + x2 + x3 + x4 + x5 + x6) / 6 = 77. This can be written in its simplified form as: 6x6 = 77(x1 + x2 + x3 + x4 + x5).

In order to find the least mark that Jethro needs to get for the last test, x6, the other terms must be known. Since Jethro has already sat the 5 tests the marks for these tests are known, so they can be added together. This results in: x6 = 77(x1 + x2 + x3 + x4 + x5) / 6. Therefore, Jethro needs to get a mark of at least 77.6 (rounded to the nearest tenth) on the last test in order to end up with a mean mark of 77.

Hey I'm Chloe Can you Help Me, I will give Brainlest, Thank you :)
Stefan sells Jin a bicycle for ​$104 and a helmet for ​$17. The total cost for Jin is 110 ​% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

Stefan spent 108.9$ and made 12.1$

Step-by-step explanation:

Hey I'm Aiden I can help you, I will take Brainlest, Your welcome :)

take 10% of 121 and subtract it from 121 and you get the price he paid and made

what steps do i take to prove this? i have a few more

Answers

Answer:

They are opposite angles. If you rotate the figure SQM 180 degrees counter clockwise, they will be the exact same triangle and therefore the exact same measure.

Step-by-step explanation:

Please Help 8th Grade math!!!!!!! only anwser 9

Answers

it's 40.00 beacuase justo subtract

9514 1404 393

Answer:

  Chris's gym charges more

Step-by-step explanation:

The difference between 2 rentals and 1 rental at Chris's gym is ...

  $55.50 -52.75 = $2.75 . . . . cost of court rental at Chris's gym

This $2.75 cost at Chris's gym is higher than the corresponding $2.00 cost at Tyrell's gym.

Chris's gym charges more to reserve the basketball courts.

Hello!
What's Eri's teddys name?

Answers

Answer:

Werid I don’t know

Step-by-step explanation:

Find the mean of the following probability distribution? Round your answer to one decimal.
x 0,1,2,3,4
P(x) 0.0017, 0.3421, 0.065, 0.4106, 0.1806
mean = ___

Answers

The mean of the given probability distribution is 2.4.

To find the mean of a probability distribution, we multiply each value of x by its corresponding probability and then sum them up. Using the provided data:

x: 0, 1, 2, 3, 4

P(x): 0.0017, 0.3421, 0.065, 0.4106, 0.1806

mean = 0(0.0017) + 1(0.3421) + 2(0.065) + 3(0.4106) + 4(0.1806)

     = 0 + 0.3421 + 0.13 + 1.2318 + 0.7224

     = 2.4263

Therefore, the mean of the given probability distribution is approximately 2.4 (rounded to one decimal place).

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MARKING BRAINLIEST TO FIRST PERSON WHO IS CORRECT!


I need help with #13

Answers

Answer:

True

False

False

Step-by-step explanation:

Factor 9z^2 - 6x +1.
pls will mark you brainiest

Answers

Answer:

It is not factorable

Step-by-step explanation:

The expression is not factorable with rational numbers.

Answer:

This is not factorable.

Step-by-step explanation:

This is not factorable.

Prove the following is equivalent: n* (n-1 C 2) = nC2 * (n − 2) .

Answers

The equivalence of the expressions n × ([tex]{}^{(n-1)}C_2[/tex]) and [tex]{}^nC_2[/tex] × (n − 2) has been proven mathematically.

To prove the equivalence of the expressions n × ([tex]{}^{(n-1)}C_2[/tex]) and [tex]^{n}C_2[/tex] × (n − 2), we can demonstrate that they yield the same result.

First, let's simplify each expression:

n × ([tex]{}^{(n-1)}C_2[/tex]) = n × [(n-1)! / 2!(n-1-2)!]

= n × [(n-1)! / 2!(n-3)!]

= n × [(n-1)(n-2) / 2]

= n × (n² - 3n + 2) / 2

= (n³ - 3n² + 2n) / 2

[tex]{}^nC_2[/tex] × (n − 2) = [n! / 2!(n-2)!] × (n-2)

= [n! / 2!(n-2)!] × (n-2)

= [(n)(n-1)(n-2)! / 2!(n-2)!] × (n-2)

= [(n)(n-1)] / 2

= (n² - n) / 2

By comparing the two simplified expressions, we can see that (n³ - 3n² + 2n) / 2 is equal to (n² - n) / 2.

Hence, we have proven that n × ([tex]{}^{(n-1)}C_2[/tex]) is equivalent to [tex]{}^nC_2[/tex] × (n − 2).

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Describe what happened to the deer and wolf populations between 1971 and 1980. In a group of 700 people, must there be 2 who have matching first and last initials? Why? (Assume each person has a first and last name.)---Select--- Yes No . Let A be the set of 700 distinct people and let B be the different unique combinations of first and last initials. If we construct a function from A to B, then by the ---Select--- pigeonhole zero product mathematical induction principle, the function must be ---Select--- onto, one-to-one, not a one-to-one correspondence . Therefore, in a group of 700 people, it is ---Select--- possible, impossible, that no two people have matching first and last What is horizontal segmentation? anyone able to do these??1. If a company uses more debt and less equity in its capital structure, then A. Expected returns to stockholders will increase and riskiness will increase B. Expected returns to stockholders will dec I WILL MARK BRAINLIEST PLEASE HELP OR I WILL FAIL NO LINKS PLS HELP I'LL GIVE YOU BRAINLIEST In a recipe you need 200 g of flour to make 8 cookies. Rosie has 480 g of flour. What is the greatest number of cookies rosie can make? FIGURE 1FIGURE 2FIGURE I Shows Faraday dise which is used to produce emthe roter and will be rotated by rotating the driving wheelThis device has a solid disc as1 Discuss any inventions in history which are related to magnetism. 2. Faraday dise requires magnetic field to operate. Discuss the working principles ofFaraday disc by referring to FIGURE 2 as guideline. 3. Refer to FIGURE 2, for the indicated rotation (clockwise rotation viewed fromlenwand). Explain the existence of magnetic force and its direction on those electronsalong the conducting path,4. Compare the magnitude of magnetic force on clectrons located at the rim and at nearthe centre of the dise?5. Discuss the required equations in order to determine the work done by magnetic forcein moving charge along the radial line between the centre and the rim? State the relationbetween work done and generated emty 12. The best plate to cultivate enteric bacteria is?A. EMBB. Blood agarC. Mannitol saltD. Sabouraud agar plate13. The Ingredient in Hektoen plate which makes the agar selective is?A. SaltB. GlucoseC. MannitolD. Bile acids14. The enteric plates are only allowing the growth of ?A. Gram negative bacteriaB. Gram positive bacteriaC. Anaerobes Lime electric scooters ("e-scooters") are available for rent at various locations in major U.S. cities via a smartphone app. When Lime introduced the e-scooters in the U.S., the price per minute was 15 cents (plus $1 to unlock the scooter for each ride). Recently, the price has risen to 25 cents per minute (plus $1 to unlock). There are a number of e-scooter competitors in the U.S. market, all priced about the same as Lime. Interestingly, almost all of the scooters are built in one company in China, Ninebot. Although the scooters are essentially the same, there are cosmetic differences to differentiate the various brands Lime, Spin, etc.). Suppose a start-up company in the U.S. decides to create a new brand of rental e-scooters, Zing. Zing scooters will also be produced by Ninebot. Zing's plan is to have the e-scooters available in the same places the other brands are located and to have a smartphone app (because they are targeting current users of Lime and other brands), but plans to differentiate itself by charging a lower price per minute for rentals. How successful do you think Zing will be with this strategy? Begin your answer with either Successful or Unsuccessful, then briefly explain the reasoning behind your decision. please help me on this its reading Mapp v. Ohio Case: Do you agree with the Courts decision in the Mapp case? Give reasons for your answer. What is the meaning of the word "abstractly" as used in the selection?they can quickly adjust, like in childhood ,building up new connections and getting rid of unused ones. But they are also starting to gain the adult ability to think abstractly. They can imagine future and make social connections,Galvan Said a 1.65-mm-tall diver is standing completely submerged on the bottom of a swimming pool, in 3.00 mm of water. you are sitting on the end of the diving board, almost directly over her.a) How tall does the diver appear to be? (7q+7)+(9q+1)please help 29 As at January 2019 Gilles had unused TFSA contribution room of $35,000 and a TFSA balance of $73,000. During 2019 he withdrew $5,000. No other transactions were made. What was his TFSA contribution as of January 2020? A $79,000 B $46,000 C $41,000 D $35,000 Year Number of Cases2018 90252017 90882016 92532015 95392014 93892013 95542012 99282011 104912010 110882009 115122008 128862007 132772006 137272005 140622004 144992003 148362002 150552001 159452000 163081999 174991998 182861997 197521996 212101995 227261994 242071993 251021992 266731991 262831990 257011989 234951988 224361987 225171986 227681985 222011984 222551983 238461982 255201981 273731980 277491979 276691978 285211977 301451976 321051975 339891974 301221973 309981972 328821971 352171970 371371969 391201968 426231967 456471966 477671965 490161964 508741963 540421962 533151961 537261960 554941959 575351958 635341957 671491956 698951955 773681954 797751953 84304Tuberculosis (TB) is one of the worlds deadliest diseases. One third of the worlds population is infected with TB. In 2013, nine million people around the world became sick with TB disease and there were 1.5 million TB-related deaths worldwide.The data in the JMP file shows the number of TB incidences in the US that were reported from 1953 to 2018.Note: we will treat the incidence of TB as if it is a simple random sample and as continuous data (even though it is not necessarily so).1. Perform a regression analysis of TB incidences in the US vs Year. Paste your graph and results output.2. Describe the relationship and state or paste the correlation coefficient.3. What is the slope? Interpret it (what is it exactly telling you?4. State the test statistic and p-value from your regression analysis. State the null and alternative in words and equation. Based on these results, what do you conclude?5. Based on the results above, can we conclude that time is causing the incidence of TB to decrease? Why or why not? Explain your thoughts, and what are possible reasons for the decrease in incidence of TB6. Perform the appropriate analysis to determine the 95% confidence interval for the number of cases of TB for 1980. Paste results.7. What is this confidence interval telling you? Factor the trinomial.X2 + 12x + 20 Let (Xn) be a Markov chain on a finite state space E with transition matrix II: EXE [0, 1]. Suppose that there exists a k EN such that II (x, y) > 0 for all x, y E. For n Z+ set Y = (Xn, Xn+1). (1) Show that (Yn) is a Markov chain on E x E, and determine its transition matrix. (2) Does the distribution of Yn have a limit as n [infinity]? If so, determine it. Use pages 371-382. Create a timeline listing the important events and places that Odysseus and his men travel through For the following regression model Y = + X + u-Specify the procedure of testing if =1 at significance level of 5% (You will need to provide the hypotheses and test statistics and explain how to make the statistical judgement).