The figures below show sketches of Earl's and Dylan's flower gardens. If the perimeter of each of their gardens is the same, what is the length and width of Earl's garden?​

a) The set {1, 2, 3} does not represent vectors, but rather a collection of scalars. Therefore, there are no vectors in {1, 2, 3}.

b) The number of vectors in "col a" cannot be determined without additional context or information. "Col a" could refer to a column vector or a collection of vectors associated with a variable "a," but without further details, the exact number of vectors in "col a" cannot be determined.

c) Without knowing the specific context of "p" and "col a," it is impossible to determine if "p" is in "col a." The inclusion of "p" in "col a" would depend on the definition and properties of "col a" and the specific value of "p."

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The standard deviation of the equivalent z-distribution is 0.25.

The standard deviation of the equivalent z-distribution can be calculated by dividing the standard deviation of the original distribution by the square root of the sample size.

In this case, since the strength of the component is normally distributed with a standard deviation of 2.5, we need to determine the standard deviation of the equivalent z-distribution.

To calculate this, we need to know the sample size. The z-distribution is used when we have a large sample size, typically considered to be 30 or greater.

Let's assume we have a sample size of 100.

The formula to calculate the standard deviation of the equivalent z-distribution is:

Standard deviation of the z-distribution = Standard deviation of the original distribution / √(sample size)

Substituting the values into the formula:

Standard deviation of the z-distribution = 2.5 / √(100)

Simplifying the expression:

Standard deviation of the z-distribution = 2.5 / 10

Standard deviation of the z-distribution = 0.25

Therefore, the standard deviation of the equivalent z-distribution is 0.25.

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Quantity left after a baker adds 2/3 cup of oil to 3.75 cups of water out of which 1/4 of the mixture spills is equal to \(4\frac{1}{6}\) cups.

As given in the question,

Quantity of water = 3.75 cups

Quantity of oil = 2/3 cups

Mixture spills = 1/4 cups

Quantity left

3.75 + 2/3 -1/4

= 15/4 + 2/3 -1/4

=(45 +8 -3 )/12

= 50/12

=\(4\frac{1}{6}\) cups

Therefore, quantity left after a baker adds 2/3 cup of oil to 3.75 cups of water out of which 1/4 of the mixture spills is equal to \(4\frac{1}{6}\)  cups.

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Answer:

30/182 = 15/91.

Step-by-step explanation:

PROBABILITY: the likelihood of an event.

There are a total of 14 shirts in the basket.

Of the 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.

The probability of picking a black shirt is 6 in 14, or 6/14.

The probability of picking a white shirt is 8 in 14, or 8/14.

WITHOUT REPLACING: This means that you take one without putting it back. (There will be one less).

6/14 × 5/13 = 30/182.

30/182 = 15/91.

The probability of randomly picking a black t-shirt from the basket, and then another one without putting the first one back is 15/ 91.

Probability refers to a possibility that deals with the occurrence of random events.

There are a total 14 shirts in the basket.

Out of the total of 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.

The probability of picking a black shirt = 6/14.

The probability of picking a white shirt = 8/14.

The probability of randomly picking a black t-shirt from the basket, and then another one without putting the first one back

= 6/14 × 5/13

= 30/182.

= 15/91.

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Answer:

4(p + 8) = 8p – 8(p – 6)

4p+32=8p-8p+48

4p=16

p=4

Answer: P=20

Step-by-step explanation:

Hope this helps ;)

Hey there!

8xy

= 8(7)(11)

= 56(11)

= 616

Therefore, your answer is: 616

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

30 times 10 is 300. 300 times 50 is 15,000.

Step-by-step explanation:

bc i know

Answer: 4,000

Step-by-step explanation:

Just multiple width by height by length

20 • 5 • 40

Answer:

x = -2

Step-by-step explanation:

-7x + 23 = 37

~Subtract 23 to both sides

-7x = 14

~Divide -7 to both sides

x = -2

Best of Luck!

The finding that average IQ has increased steadily over the 20th century is referred to as the Flynn effect.

The Flynn effect is the observation that the average IQ has risen continuously over the 20th century.The Flynn effect is what?The Flynn effect is the finding that IQ levels in the general population rise over time and across generations.

For instance, during the past century, IQ scores have continuously risen in industrialised nations by about 3 points every decade. James R. Flynn, a political scientist from New Zealand who first observed this pattern, created the phrase "Flynn effect" in 1987.

The Flynn effect is significant because it demonstrates that IQ levels are not constant but can alter due to environmental factors. It also emphasises how challenging it is to define and assess intelligence, particularly when contrasting populations from various historical periods or cultural backgrounds.

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The correct option is option A.

Urenium Mining, 60 millions or 10% its uranium has been used.

Mining of Uranium :

In Uranium Mining Uranium is found in small amounts in most rocks and seawater. Uranium mines operate in many countries, but over 85% of uranium is produced in six countries: Kazakhstan, Canada, Australia, Namibia, Niger and Russia.

Currently, the world's uranium mines use a method called in situ leaching. Oxygenated water (or an alkaline, acidic, or oxidizing solution) is circulated through the uranium ore to extract uranium. After uranium has been used in a nuclear reactor for about three years to generate electricity, the spent fuel goes through a series of steps such as temporary storage, reprocessing and recycling before the waste produced is disposed of. It may pass. Collectively, these steps are known as the "back end" of the fuel cycle. About 60 million or 10% of the urenium in the,

reactor was used.

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Answer:

Step-by-step explanation:

It looks like you are trying to find a line to display the data. we know our slope equation is y = mx + b, and that b is our y axis. Start from 5 on the y axis we try each slope till one fits. -3/4 and -1/4 dont work, as those go the opposite way from our data since they are negative slopes. 1/4 is too much tot he right, but when we try 3/4 it works. Data is about equal on both sides of the line if we are to draw this slope. With 3 on one side and 2 on the other.

The next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.

To find the time at which all three lights will flash at the same time, we need to find the LCM (Least Common Multiple) of the given times.

Prime factorizing each time, we get:

6 = 2 x 3

15 = 3 x 5

21 = 3 x 7

To find the LCM, we take the highest power of each prime factor that appears in any of the numbers:

2 x 3 x 5 x 7 = 210

Therefore, the next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.

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Answer:

20 grams is the same as option (a) 2000 mg.

Step-by-step explanation:

To convert grams to milligrams, you multiply the value in grams by 1000 because there are 1000 milligrams in one gram. Therefore, 20 grams is equal to 20 * 1000 = 2000 milligrams.

20 grams is equal to 20000 mg.

20 grams is equivalent to 20000 mg. To convert grams to milligrams, you need to multiply the number of grams by 1000 since there are 1000 milligrams in one gram. So, 20 grams multiplied by 1000 equals 20000 milligrams.

This question is regarding the conversion of grams (a metric unit of weight) to milligrams. 1 gram is equivalent to 1000 milligrams. Therefore, to convert 20 grams to milligrams, you would multiply 20 (the number of grams) by 1000 (the number of milligrams in 1 gram).

20 grams * 1000 = 20000 milligrams

So, 20 grams is the same as 20000 milligrams, which means the correct answer to your question is b. 20000 mg.

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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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Both the given statements are true

1. Two equilateral triangles are always similar: True.

An equilateral triangle is a triangle in which all three sides are equal. Since two equilateral triangles have the same shape and size, they are always similar. Similarity means that the corresponding angles are equal, and the corresponding sides are in proportion.

2. The diagonals of a rhombus are perpendicular to each other: True.

In a rhombus, opposite sides are parallel, and all sides have equal length. The diagonals of a rhombus bisect each other at right angles, which means they are perpendicular to each other. This property holds true for all rhombuses, regardless of their size or orientation.

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Given question is incomplete, the complete question is below

State true or false

1. Two equilateral triangles are always similar.

2. The diagonals of a rhombus are perpendicular to each other.

See attachment for math work and answer.

The value of t is 7 and the coordinate is (5, 7). Therefore, option D is the correct answer.

Given that, in an xy-coordinate system, line l has a slope of -3. If the points (2, 16) and (5, t) are on line l.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

Now, substitute m=-3, (x1, y1)=(2, 16) and (x2, y2)=(5, t) in slope formula, we get

-3 =(t-16)/(5-2)

⇒ -3 =(t-16)/3

⇒ t-16=-9

⇒ t=7

The value of t is 7 and the coordinate is (5, 7). Therefore, option D is the correct answer.

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Using the Empirical Rule, it is found that there is a 68% probability that a student scored between 66 and 82.

It states that, for a normally distributed random variable:

In this problem, considering the mean of 74 and the standard deviation of 8, we have that:

74 - 8 = 66

74 + 8 = 82.

Hence, there is a 68% probability that a student scored between 66 and 82.

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x= 48

P/s: sorry. I cant explain  

ok done.thank to me :>

Answer:

no

Step-by-step explanation:

Add the digits of the number 40,156,235:

4 + 1 + 5 + 6 + 2 + 3 + 5 = 26

Since 26 is not divisible by 9, then 40,156,235 is also not divisible by 9.

Answer:

Perimeter of the cross section = (10+4√5)inches = 18.9in

Area of the cross section= = 10√5 in²

Step-by-step explanation:

Find attached the diagrams used in solving the question

Dimensions of granite = 4in by 2in

Length = 4in

Breadth = 2in

Height = 5in

When granite is cut lengthwise along it's diagonal, the cross section formed by the cut will be a rectangle.

Perimeter of the cross section = 2(height+breadth)

Breadth = diagonal of the cross section

The diagonal of a rectangle divides the rectangle into two right angled triangles.

We would apply Pythagoras theorem to find the length of the diagonal

Hypotenuse ² = opposite ²+adjacent ²

Hypotenuse = length of diagonal

Hypotenuse ² = 2² + 4²

Hypotenuse ² = 4+16 = 20

Hypotenuse = √20 = 2√5

Perimeter of the cross section = 2(height+breadth) =2(5+2√5)

Perimeter of the rectangle = 10+4√5 inches = 18.9in

Area of the cross section= diagonal × height

Area of the cross section= 2√5 × 5

Area of the cross section= = 10√5 in²

Joe finishes the route at 10.50 am.

To determine the time Joe finishes the route, we need to consider the time he overtakes Priya and the speeds of both individuals.

Priya started at 9.00 am and walks at a constant speed of 6 km/h. Joe started 30 minutes later, at 9.30 am, and overtakes Priya at 10.20 am. This means Joe catches up to Priya 1 hour and 20 minutes (80 minutes) after Priya started her walk.

During this time, Priya covers a distance of (6 km/h) × (80/60) hours = 8 km. Joe must have covered the same 8 km to catch up to Priya.

Since Joe caught up to Priya 1 hour and 20 minutes after she started, Joe's total time to cover the remaining distance of 16.8 km is 1 hour and 20 minutes. This time needs to be added to the time Joe started at 9.30 am.

Therefore, Joe finishes the route 1 hour and 20 minutes after 9.30 am, which is 10.50 am.

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A finite group is a group that has a finite number of elements. Now, let us define the center of a group. The center of a group, denoted by Z(G), is the set of all elements in G that commute with every element in G.

Now, we need to prove that if g is a finite group, the index of Z(g) cannot be prime. We can prove this using contradiction. Suppose the index of Z(g) is prime. Let this prime be denoted by p. This means that the number of distinct left cosets of Z(g) in g is p. Therefore, we can write:

|g/Z(g)| = p

where |g/Z(g)| represents the number of distinct left cosets of Z(g) in g.

Now, we can use the fact that the number of left cosets of a subgroup in a group is equal to the index of that subgroup in the group. Therefore, we can rewrite the above equation as:

|g|/|Z(g)| = p

Multiplying both sides by |Z(g)|, we get:

|g| = p|Z(g)|

Since p is a prime number, it can only be divided by 1 and itself. Therefore, the only possible divisors of p|Z(g)| are 1, p, and |Z(g)|.

Now, since |g| is finite, we know that |Z(g)| cannot be infinite. Therefore, the only possible values for |Z(g)| are positive integers that divide |g|. However, since p is a prime number, |Z(g)| cannot be equal to p. This means that the only possible values for |Z(g)| are 1 and |g|.

If |Z(g)| = 1, this means that Z(g) only contains the identity element. Therefore, g does not have any non-identity elements that commute with every other element in g. This is not possible since every group has at least one element that commutes with every other element in the group - the identity element.

If |Z(g)| = |g|, this means that every element in g commutes with every other element in g. This implies that g is an abelian group. However, this contradicts the fact that g is a finite group that is not abelian.

Therefore, we have reached a contradiction in both cases. This means that our assumption that the index of Z(g) is prime is false. Therefore, if g is a finite group, the index of Z(g) cannot be prime.

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Answer:

Yellow = 5 times and I think you meant blue since there is no purple so blue = 3 times

Step-by-step explanation:

There is ten in all and half of the spaces are yellow, or 50%. Out of ten times, you should land on it about half, or 5. For blue, there are 3 spaces, or 30%. Out of ten times, you should lamd on it about three.

Answer:

Below in bold.

Step-by-step explanation:

Surface area

= 2pi r h + 2 pi r^2

=  2 * 3.14 * 12 +  2* 3.14 * 2^2

= 100.48.

Given z²+1/z² =14

using above equation,

z²+1/z² = 14

add 2 on both side,

z² + 1/z² + 2 = 14 + 2

the LHS is whole square of z + 1/z

so we can write it

(z + 1/z)² = 16z + 1/z = 4

Now we know,

(a + b)³ = a³ + b³ + 3ab(a+b)

here, a = z and b = 1/z,

substituting a and b in equation we will get,

(z + 1/z)³ = z³ + 1/z³ + 3z/z( z+ 1/z)

4³ = z³ + 1/z³ + 3×4

z³+ 1/z³ = 64-12

z³ + 1/z³ = 52

Answer:

52.

Step-by-step explanation:

Using the identity a^3 + b^3 = (a + b)(a^2 - ab + b^3):

z^3 + 1/z^3 = (z + 1/z)(z^2 - z *1/z + 1/z^2)

= (z + 1/z) (z^2 - 1 + 1/z^2)

= (z + 1/z) (14 - 1 )

= 13(z + 1/z).

Now using the identity a^2 + b^2 = (a + b)^2 - 2ab:

z^2 + 1/z^2 = ( z + 1/z)^2 - 2(z * 1/z)  = 14 So:

( z + 1/z)^2 - 2 = 14

( z + 1/z)^2 = 16

Taking z + 1/z = 4 we therefore have:

z^3 + 1/z^3 =  13 * 4 = 52.

Answer:

\(x=3c\sqrt{a} -b^2\)

Step-by-step explanation:

\(\sqrt{a} =\dfrac{x+b^2}{3c}\)

Multiply both sides by 3c:

\(\implies \sqrt{a} \cdot 3c=\dfrac{(x+b^2) \cdot 3c}{3c}\)

\(\implies 3c\sqrt{a} =x+b^2\)

Subtract \(b^2\) from both sides:

\(\implies 3c\sqrt{a} -b^2=x+b^2-b^2\)

\(\implies 3c\sqrt{a}-b^2=x\)

Switch sides:

\(\implies x=3c\sqrt{a} -b^2\)

The curve is given by \(x = y^2,\)so we can express the integral as:

\(∫c x^3 y^4 dx = ∫c (y^2)^3 y^4 dx = ∫c y^10 dx\)

To find the limits of integration, we need to determine the values of y for the endpoints of the curve. At the starting point (0, 0), we have y = 0, and at the endpoint (4, 2), we have y = 2^(1/2). Therefore, the integral becomes:

\(∫c x^3 y^4 dx = ∫0^(2^(1/2)) y^10 dx = [1/11 y^11]_0^(2^(1/2)) =\)\(2^(11/2) / 11\)

Therefore, the value of the integral is \(2^(11/2) / 11\)

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Answer:

A

Step-by-step explanation:

4.2 is 42 tenths.  40 tenth is equal to 4.

option C. Rejecting a true null hypothesis. The level of significance in hypothesis testing is the probability of rejecting a true null hypothesis.

In hypothesis testing, the null hypothesis is a statement that there is no significant difference between two populations or variables, while the alternative hypothesis is a statement that there is a significant difference. The level of significance, denoted by alpha (α), is the probability of rejecting the null hypothesis when it is actually true.

In other words, if the level of significance is set at 0.05 (or 5%), this means that there is a 5% chance of rejecting the null hypothesis when it is actually true. This is known as a type I error, or a false positive.

The level of significance is usually set by the researcher or statistician before conducting the hypothesis test, and is typically based on the desired balance between the risk of making a type I error and the risk of making a type II error (failing to reject a false null hypothesis).

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The level of significance in hypothesis testing is the probability of

a. accepting a true null hypothesis

b. accepting a false null hypothesis

c. rejecting a true null hypothesis

d. could be any of the above, depending on the situation