A suggests that the irish monoculture (growing a single crop) of the lumper potato did not significantly change the overall resistance of the potato crop in ireland to diseases. What observations best refutes this null hypothesis?

Answer:

120

Step-by-step explanation:

just do 10*12 which is 120.

Answer:

It is 120 brochures distributed "I hope this helps"

Step-by-step explanation:

12x10=120

The probability that the sum of all the top faces is divisible by 6 is 1/6.

1.This is because there are six possible outcomes when the dice are thrown, and only one of these outcomes (where the sum of the top faces is divisible by 6) has a probability of 1/6.

2.The other five outcomes have a probability of 0.
3.To explain this further, consider the following example: if we throw 10 dice, the possible outcomes are 6^10, or 6,561 outcomes. Of these 6,561 outcomes, only 1,089 will result in a sum of the top faces that is divisible by 6.

4.Therefore, the probability that the sum of all the top faces is divisible by 6 is 1,089/6,561, or 1/6.

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The correct answer is A. When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring.

In other words, the probability of A occurring does not depend on whether B occurs or not, and vice versa.

To find the probability of both A and B occurring, we need to use the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. That is, P(A and B) = P(A) × P(B).

For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, then the probability of both events occurring together is:

P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12

Therefore, to find the probability of event A AND B when events A and B are independent, we simply multiply the probability of A by the probability of B.

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The value of c in the perfect square trinomial x^2 + 10x + c can be determined by examining the entries in the 6-column table.

In the given table, the first column represents \(x^2\) and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.

To find the value of c in the perfect square trinomial \(x^2\) + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents \(x^2\), we can see that each entry is \(x^2\). Thus, the missing entries in the second column are x, x, x, x, x, respectively.

The perfect square trinomial \(x^2\) + 10x + c can be factored as \((x + 5)^2\), which expands to \(x^2\) + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.

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This lane symbol is used for marking the beginning and ending of a left turn to the drivers.

What are lane symbols?

A permitted lane usage is denoted by a lane symbol. For example, a lane marked with a diamond is one that is designated for high-occupancy cars.  A lane symbol of a bicycle marks that the lane is designated for cyclists. At crossings, arrows indicate movements that are necessary or allowed. The user of the roadway must yield when there is a row of solid triangles. Likewise, two large curved arrows facing each other on a lane in the middle of a two way road with dashed lines on either sides indicate the beginning and ending of a left turn.

A Lane symbol or marking are also utilized to warn drivers of potentially dangerous situations that may be coming up. For instance, a triangle with no filling indicates a yield ahead. A speed hump is indicated by a succession of lines across a lane that get bigger and wider.

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Answer:

27.26

Step-by-step explanation:

Answer:15 minutes

Step-by-step explanation:60 minutes/ 12 miles = 5 minutes/ 1 mile. 3 miles = 15 minutes

Answer:

The answer is 15 minutes

Step-by-step explanation:

Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

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Answer:

6

Step-by-step explanation:

140+8X=50+23X

8X-23X=50-140

-15X=-90

X=-90/-15

X=6 TRIPS IS THE ANSWER.

PROOF:

140+8*6=50+23*6

140+48=50+138

188=188

Answer:

the group needs 3 pizzas because:

9(people) x 2(slices) = 18

6(slices per pizza) x 3(pizzas) = 18

Step-by-step explanation:

Answer:

what grade are you??.......

Answer:

Step-by-step explanation:

The equation for the surface consisting of all points P for which the distance from P to the x-axis is twice the distance from P to the yz-plane can be found by using the distance formula in three dimensions.

Let (x, y, z) be a point P on the surface. The distance from P to the x-axis is |x|, and the distance from P to the yz-plane is sqrt(y^2 + z^2). Setting these two distances equal and solving for x, we get:

|x| = 2 * sqrt(y^2 + z^2)

x = 2 * sqrt(y^2 + z^2) if x >= 0

x = -2 * sqrt(y^2 + z^2) if x < 0

This is the equation for a hyperboloid of one sheet. The hyperboloid of one sheet is a three-dimensional surface with two connected components that are mirror images of each other across the x-axis.

Remember: a^2 + b^2 = c^2

1

64 + 49 = 113

√113 = \(\sqrt{113}\)

2

100 - 25 = 75

square root of 75 = 5 \(\sqrt{3}\)

The series is a convergent p-series with p = 3

We would know that a series is a convergent p series when we have ∑ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.

The way that you are able to tell this is if the terms of the series do not approach towards 0. Now when the value of p is greater than 1 then you would be able to tell that the series is a convergent series.

The value of \(\sqrt{9}= 3\)

The formular for this is

∑\(\frac{1}{n^p} \\\)

where n = 1

we know it is convergent because p is greater than 1. 3>1

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The MAD of set 1 is significantly smaller than the MAD of set 2, indicating that the data points in set 1 are generally closer to the mean compared to the data points in set 2.

To compare the mean absolute deviation (MAD) of the data in set 1 and set 2, let's calculate the MAD for each set and then compare the results.

Set 1: 5, 10, 7, 2

Determine the data set's mean (average):

Mean = (5 + 10 + 7 + 2) / 4

= 24 / 4

= 6

Calculate the absolute deviation for each data point:

|5 - 6| = 1

|10 - 6| = 4

|7 - 6| = 1

|2 - 6| = 4

Calculate the MAD by finding the average of the absolute deviations:

MAD = (1 + 4 + 1 + 4) / 4

= 10 / 4

= 2.5

Set 2: 5, 10, 7, 42

Determine the data set's mean (average):

Mean = (5 + 10 + 7 + 42) / 4

= 64 / 4

= 16

Calculate the absolute deviation for each data point:

|5 - 16| = 11

|10 - 16| = 6

|7 - 16| = 9

|42 - 16| = 26

Calculate the MAD by finding the average of the absolute deviations:

MAD = (11 + 6 + 9 + 26) / 4

= 52 / 4

= 13

Now, comparing the MAD values:

Set 1's MAD is 2.5, whereas Set 2's MAD is 13.

Therefore, the correct statement is: The MAD of set 1 is 10.5 less than the MAD of set 2.

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The estimate of average sat score is between (1440.91, 1559.09) and the number of students to sample in next case is 553.

The margin of Error is a statistical expression that is used to determine the percentage point by which the result arrived will differ from the value of the entire population, and it is calculated by dividing the standard deviation of the population by the sample size and lastly multiplying the resultant with the critical factor.

A higher error indicates a high chance that the result of the sample reported may not be the true reflection of the whole population.

n = 99

Mean = μ = 1500

Standard deviation = σ = 300

Confidence interval = μ ± zσ/√n

= 1500 ± 1.96×300/√99

= 1500 ± 59.09

= (1440.91, 1559.09)

Now, if margin of error is 25 with 95% confidence interval,

Margin of error = z × σ/√n

∴ 25 = 1.96 × 300/√n

⇒ √n = 23.52

⇒ n = 553.19 ≅ 553

Thus, the estimate of average sat score is between (1440.91, 1559.09) and the number of students to sample in next case is 553.

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Answer:

1000000000000

Step-by-step explanation:

if you =have 10^12 power you multiply 10*10 12 times

so to work it out you would do:

10*10*10*10*10*10*10*10*10*10*10*10=1000000000000

and since your bored to death here's a cool pic

Answer:

6314

Step-by-step explanation:

Answer: down and left and right and up

Step-by-step explanation:

Answer:

  8%

Step-by-step explanation:

You want to know what percentage of milkshakes had whipped cream if 2 had whipped cream and 23 didn't.

The fraction of the total number that had whipped cream is ...

  2/(2+23) = 2/25

The percentage is found by multiplying the fraction by 100%:

  2/25 × 100% = 8%

8% of the milkshakes had whipped cream.

Step-by-step explanation:

first find the derivative and then substitute x=1

d/dx((x^2 -2)/(x^2 + 1)) = (2*x)/(1+x^2)+(4*x)/(1+(2*x^2)+x^4)+(-2*x^3)/(1+(2*x^2)+x^4)

substitute x=1

check the image above

slope = 1.5

The slope of the line tangent when x = 1 is 1.5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4  = 9 is an equation.

We have,

y = (x² - 2)/(x² + 1)

y' = [(x² + 1)(2x) - (x² - 2)(2x)] / (x² + 1)²

Put x = 1

dy/dx = [(1² + 1)(2) - (1² - 2)(2)] / (1² + 1)²

dy/dx = (4 + 2)/4

dy/dx = 6/4 = 3/2 = 1.5

Thus,

The slope is 1.5.

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Answer:

area of the original square = 144 cm²

Step-by-step explanation:

You didn't include the whole question, but nonetheless this is the answer.

Take care. (:

Answer:

144 cm^2

Step-by-step explanation:

Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.

However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.

So the list goes as

1. Exponents

2. Roots

3. Multiplication

4. Division

5. additional

6. Subtraction

However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.

Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.

Furthermore, the preferred behavior norm for division and multiplication is different.

Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.

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Answer:

The possible dimensions are 6 and (2x + 1).

Step-by-step explanation:

To find the possible dimensions of the rectangle, factorize the expression 12x + 6.

 12x + 6 = (6 *2x) + (6 * 1)

            = 6* (2x + 1)

Therefore, the possible dimensions are 6 and (2x + 1).

These are some possible side lengths of the rectangle :

Length = 6, Width = 2x + 1

Length = 2, Width = 6x + 3

Length = 3, Width = 4x + 2

Length = 4x + 2, Width = 3

Length = 2x + 1, Width = 6

Explain about area of rectangle ?

The area of a rectangle is the amount of space that it occupies in a two-dimensional plane. It is defined as the product of the length and width of the rectangle, and is usually measured in square units, such as square meters or square feet.

The formula for the area of a rectangle is:

Area = Length x Width

where "Length" and "Width" are the measurements of the two adjacent sides of the rectangle. To use this formula, simply multiply the length of the rectangle by its width, and the result is the area of the rectangle.

According to question:

If the expression 12x + 6 represents the area of the rectangle, then we can find possible side lengths of the rectangle by factoring the expression and looking for pairs of factors that multiply to give the expression.

We can start by factoring out the common factor of 6 from the expression:

12x + 6 = 6(2x + 1)

Now we are looking for pairs of factors of 6(2x + 1) that can represent the length and width of a rectangle with an area of 12x + 6. Some possible pairs are:

Length = 6, Width = 2x + 1

Length = 2, Width = 6x + 3

Length = 3, Width = 4x + 2

Length = 4x + 2, Width = 3

Length = 2x + 1, Width = 6

There are many other possible pairs of factors that can represent the side lengths of a rectangle with an area of 12x + 6.

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Answer: WITH ALL OF IT OR ONE OF THEM

Step-by-step explanation:

Answer:

Maybe, there is a chance, but I don't know for sure.

It might matter, but I wouldn't worry or stress about it too much.

My only advice to you is do not procrastinate and if you need help don't be afraid to ask.

Answer:

It matters but not like you think.

GPA, extracurricular activities, and SAT/ACT are the biggies. Truthfully it won't change a thing if you took accelerated pre-algebra versus normal. In fact, spoiler alert, the SAT/ACT (I'm assuming your american) will matter more than your courses ever did. I took two years of college physics in highschool and i made more off my SAT. Not only that, but an A in an easy class looks better than a C in a hard one on transcripts.

My advise is slow down, relax, and learn it well. Better to learn the concept fully in normal so that you can apply it, than half learn it in advance and struggle in future applications. After all, math ALWAYS builds. Take it slow, take it easy.

I would recommend talking to a school guidance counselor about your academic stress. Im sure their professional insight will help put you at ease. It may also help to get you going in the right direction so that you achieve your goals.

Good luck. Enjoy life

Answer:

It can eat 60 mosquitos in 1 minute.

Step-by-step explanation:

\(2400\) ÷ \(40\) \(= 60\)

if the average time to serve a customer is 3 minutes, then the service rate is 3 per hour. group of answer choices is False.

If the average time to serve a customer is 3 minutes, then the service rate is actually 20 customers per hour, not 3 per hour. This is because there are 60 minutes in an hour, so in one hour, there are 60/3 = 20 sets of 3 minutes, each of which can serve one customer.

what is  average time?

Average time refers to the sum of all the times divided by the total number of observations or events. It is a measure of central tendency that provides information about the typical or representative time for a certain process or event.

For example, if the times to complete a task are 2 seconds, 4 seconds, 6 seconds, and 8 seconds, the average time would be:

(2 + 4 + 6 + 8) / 4 = 5 seconds

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Answer:

x = 10

Step-by-step explanation:

Step 1: Write out equation

16 = 9 + x - 3

Step 2: Combine like terms

16 = x + 6

Step 3: Subtract 6 on both sides

10 = x

Step 4: Rewrite

x = 10

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 10}}}}}\)

Step-by-step explanation:

\( \sf{16 = 9 + x - 3}\)

Subtract 3 from

⇒\( \sf{16 = 6 + x}\)

Swap the sides of the equation

⇒\( \sf{6 + x = 16}\)

Move 6 to right hand side and change it's sign

⇒\( \sf{x = 16 - 6}\)

Subtract 6 from 16

⇒\( \sf{x = 10}\)

Hope I helped!

Best regards!!

The area is 120 \(cm^{2}\).

Area is the size of a two-dimensional surface, usually expressed in square units, such as square feet or square meters. It is the amount of two-dimensional space enclosed within a given set of boundaries. Area can be calculated for various shapes, including squares, rectangles, triangles, circles, and more complex shapes. Area is also a measure of the amount of space an object occupies. In mathematics, area is used to measure the size of a shape or region in a plane. It can also be used to calculate the size of a figure, such as the area of a triangle, or to measure the area of an enclosed space, such as a garden or a room.

Given:

AB = CD = 8cm

AD = BC = 12cm

EF = DH = 4cm

So, the required area is A = Area (ABCEFD) = Area (ABCD) + Area (CEFD)

Area of ABCD = Area (ABCD) = AB × BC

⇒ 12 × 8 = 96 \(cm^{2}\)

Area of CEFD = Area (CEFD) = 0.5 (CD + EF) × HD

⇒ 0.5 × (8 + 4) × 4 = 24\(cm^{2}\)

Now, the required area is

⇒ A = 96 \(cm^{2}\) + 24 \(cm^{2}\) = 120 \(cm^{2}\)

Hence, the required area of the figure is 120 \(cm^{2}\).

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The correct option is c.) swimsuit sales throughout the year; sunscreen sales throughout the year.

Correlation coefficient is a measure of the strength and direction of a relationship between two variables. The correlation coefficient varies from -1 to +1. A correlation of -1 means that a negative association between two variables is perfect, while a correlation of +1 means that there is a positive association between two variables that is perfect. The closer the correlation coefficient is to 0, the weaker the association between two variables is. A correlation coefficient of 0 means that there is no relationship between two variables.From the given options, the data set that is most likely to have a negative association and a correlation coefficient between 0 and -1 is (c) swimsuit sales throughout the year and sunscreen sales throughout the year.The reason behind this is that when it's summer or a hot season, people tend to buy more swimsuits than sunscreen. And when it's winter or a cold season, people tend to buy more sunscreen than swimsuits. Hence, the correlation coefficient between swimsuit sales throughout the year and sunscreen sales throughout the year is most likely to be between 0 and -1 because there is an inverse relationship between these two variables.

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Answer:Steepness of Appalachian Trail; John’s Speed while hiking the Appalachian Trail

Step-by-step explanation: