The rabbit population in a certain area is 200​% of last​ year's population. There are 700 rabbits this year. How many were there last​ year?

From the data set attached the median of time 7th graders spend online is 90 minutes and 8th graders spend online is 120 minutes. That is 8th graders spend more time online.

Therefore the answer is (b) eighth graders.

From the given data set, the amount of time twenty 7th graders spend online in the ascending order is

30, 30, 60, 60, 60, 60, 90, 90, 90, 90, 90, 90, 90, 120, 120, 120, 120, 150, 150, 180

The middle two values are 90 and 90, therefore median is the average which is 90 minutes.

Similarly in the case of 8th graders the data values are

30, 60, 60, 90, 90, 90, 120, 120, 120, 120, 120, 120, 120, 120, 150, 150, 150, 150, 180, 180

There are two values in the middle and they are 120 and 120, therefore the median is the average of the two values which is 120 minutes.

Thus comparing the median, eighth graders spend more time online.

--The question is incomplete, answering to the data set attached--

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Inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process.

Inverse distance weighting is a method used in geostatistics to estimate values at unsampled locations based on values at surrounding sample locations. It works by assigning weights to the sample points based on their proximity to the unsampled point. The closer a sample point is to the unsampled point, the higher its weight. The weights are then used to calculate a weighted average of the sample values, which is used as the estimate for the unsampled location.
The benefit of inverse distance weighting over a simple average is that it takes into account the spatial variability of the data. A simple average treats all sample points equally, regardless of their distance from the unsampled point. This can lead to inaccurate estimates if there is a high degree of spatial variability in the data. In contrast, inverse distance weighting gives more weight to sample points that are closer to the unsampled point, which is likely to provide a more accurate estimate.
Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process. For example, if there are two variables of interest (e.g., temperature and precipitation), inverse distance weighting can be used to estimate values for both variables simultaneously. This is not possible with a simple average.
Overall, inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Its ability to account for spatial variability and incorporate multiple variables makes it a powerful technique for analyzing spatial data.

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Answer:

Option A

Step-by-step explanation:

2(6 - 2y) = -1(4y - 9)

Distribute;

12 - 4y = -4y + 9

Add 4y to both sides;

12 ≠ 9

No solution

Answer:

A

Step-by-step explanation:

They both share the same variable p, therefore you add the numbers to get the answer

Answer:

=12p

Step-by-step explanation:

Answer:

Brainliest? I solved both!

Step-by-step explanation:

Answer: 93 grams Zinc

Step-by-step explanation:

cross multiply, and solve for the variable:3(403) = 13(x)3(31) = x93 = x .

Answer:

there was 1300 fewer cars so your answer would be -1300 :-)

First, we need to convert the mean from hours to minutes, which is 10 * 60 = 600 minutes.

The exponential distribution is given by the formula:

$P(X > x) = e^{-\lambda x}$

where $\lambda$ is the rate parameter, which is equal to 1/mean for an exponential distribution.

Thus, for this problem, we have:

$\lambda = 1/600$

We want to find the probability that the next customer will take more than 5 minutes, or in other words, $P(X > 5)$.

$P(X > 5) = e^{-\lambda \cdot 5} = e^{-(1/600) \cdot 5} \approx 0.991$

Therefore, the probability that the next customer will take more than 5 minutes is approximately 0.991.

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The solutions to the equation \(2x^2 - 15x - 2 = 0\) using the quadratic formula are:

x1 = (15 + √241) / 4

x2 = (15 - √241) / 4

To solve the equation \(2x^2 - 15x - 2 = 0\) using the quadratic formula, we'll use the formula:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this equation, a = 2, b = -15, and c = -2.

Substituting these values into the quadratic formula, we get:

\(x = (-(-15) ± √((-15)^2 - 4 * 2 * (-2))) / (2 * 2)\)

Simplifying further:

x = (15 ± √(225 + 16)) / 4

x = (15 ± √241) / 4

Therefore, the solutions to the equation \(2x^2 - 15x - 2 = 0\) using the quadratic formula are:

x1 = (15 + √241) / 4

x2 = (15 - √241) / 4

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Answer:

Based on the calculations, the store with the better buy is The Eyewear Shoppe

Step-by-step explanation:

Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.

For The Eyewear Shoppe:

The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.

Based on this promotion, you can get 2 sunglasses for $60

For Sunglass House

Sunglass House sells the sunglasses go 20% off the $40 retail price.

A Sunglass = $40 - ( 20%× $40)

= $40 - $8

= $32

Two sunglasses will cost = $32 × 2

= $64

Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe

If Jake buys 2 sunglasses from Sunglass House the total price would be $64. The Eyewear Shoppe would get you two sunglasses for $60. This means that the The Eyewear Shoppe is a better buy.

Answer:

Yes

Step-by-step explanation:

I see no mathematical reason this could not happen. It has three sides which is what makes a triangle.

Given :-

To find :-

Solution :-

As we know that ,

Substitute ,

Answer:16/20 equals 4/5

Step-by-step explanation:they are asking what is the probability that it is green so we know that 16 counters is green and total counters is 20 so it’s 16/20 and then you simplify it the answer is 4/5

Answer:

11, 6

just do 8 - (-3) and 9 - 3

Answer:

Step-by-step explanation:

Find the slope of the line AB.

The slope:

Since the altitude is perpendicular to AB, it has a slope of -2.

The line with the slope of -2 and passes through point C(6, 16).

Use point-slope equation to find the line:

A = 2, B = 1, C = 28

Answer:

Solution given:

A(7,9)

B(11,11)

C(6,16)

Slope of AB=\(\frac{11-9}{11-7}=\frac{2}{4}=½\)

since altitude is perpendicular to it .

so its slope becomes negative reciprocal to the slope of base

so

slope of altitude(m) =-2

now

equation of a line passing through C(6,16) perpendicular to its base is:

By using formula

\(y-y_{1}=m(x-x_{1})\)

y-16=-2(x-6)

solve it

y-16=-2x+12

y+2x=12+16

in the form of Ax +By=C is:

2x+y=28

:.

B=1

C=28

Answer:

f(2)= 0 and g(-2) = 0 is the answer

Step-by-step explanation:

if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y

f(x)=(2) and once again y=0

so the third option is the answer if im seeing this correctly.

f(2)=0 and g(-2)=0

The approximate probability that you will win a prize is 0.39 or 39%.

If you buy a lottery ticket in 50 lotteries, in each of which your chance of winning a prize is 1/100, the approximate probability that you will win a prize is 0.39 or 39%.

Here's how to calculate it:

Probability of not winning a prize in one lottery = 99/100

Probability of not winning a prize in 50 lotteries = (99/100)^50 ≈0.605

Probability of winning at least one prize in 50 lotteries = 1 - Probability of not winning a prize in 50 lotteries

= 1 - 0.605 = 0.395 ≈0.39 (rounded to two decimal places)

Therefore, the approximate probability that you will win a prize is 0.39 or 39%.

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Answer:

To subtract $0.\overline{02}$ from $0.02$, we can write $0.\overline{02}$ as a fraction using the method of infinite geometric series.

Let x = $0.\overline{02}$, then multiplying both sides by 100 gives:

$100x = 2.\overline{02}$

Subtracting x from 100x gives:

$99x = 2$

Solving for x, we get:

$x = \frac{2}{99}$

Therefore, $0.\overline{02}$ is equal to $\frac{2}{99}$.

Subtracting $\frac{2}{99}$ from $0.02$ gives:

$0.02 - \frac{2}{99} = \frac{198}{9900} - \frac{2}{99} = \frac{196}{9900}$

So the difference is $\frac{196}{9900}$, which can be simplified to $\frac{49}{2475}$.

Therefore, the result of subtracting $0.\overline{02}$ from $0.02$ and expressing the result as a fraction is $\frac{49}{2475}$.

This was a bit complicated...

Answer:

$28,080

Step-by-step explanation:

15*10=150/wk

150*52wks=7,800

13*30=390/wk

390*52wks=20,280

20,280+7,800=28,080

The population decreased by 5,400 people from 2015 to 2020.

Also known as population decline, means the reduction in a human population size

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 167,000 + (8% of 167,000)

Population in 2015 = 167,000 + 13,360

Population in 2015 = 180,360

Population in 2020 = Population in 2015 - Decrease from 2015 to 2020

Population in 2020 = 180,360 - (3% of 180,360)

Population in 2020 = 180,360 - 5,411.8

Population in 2020 = 174,948.2

The population decrease from 2015 to 2020 is:

= Population in 2015 - Population in 2020

= 180,360 - 174,948.2

= 5,411.8

= 5,400 to nearest 100 people.

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Answer:

i}. Mango only (no(M))=30

ii}.Orange (n(O))= 20

Answer: 8 x 4

Step-by-step explanation:

if the hat is 4 TIMES the baseball cap then u should multiply. anytime “times” is in a sentence like that it’s an automatic flag/reminder that multiplication is needed

Answer:

D.

Step-by-step explanation:

The matching shirt costs 4 times as much as the cap; The cap is $8. In that case, the question just told us the answer. 4 times $8 = 4*8 or 8*4 = $32. So if you had to determine the cost, the shirt is $32.

according to the question,

given data in the question'

there are 51 houses on a street'

each hoses has an address between 1000 and 1099

There are 51 residences and 1000 possible addresses, according to the pigeon hole principle. There must be at least one address between each house in order for there to be no houses with consecutive addresses. To do this, only give houses even numbers (leaving odd addresses as the buffer address)

Giving houses even numbers (leaving odd addresses as the buffer address) There are now 1000=50 addresses that can be used.

According to the pigeon hole principle, there must be at least one box that contains at least N

k things if N objects are put into k boxes.

Because of this, it is impossible to assign 50 distinct addresses to 51 separate homes without utilising a single consecutive integer.

So, at least one instance of a home must have consecutive integers, which.

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There are 2 houses that have at least consecutive integers .

According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m.

According to the pigeonhole principle, if there are more pigeons than there are pigeonholes, then at least one pigeonhole must hold more than one pigeon. Although the underlying idea is clear, the ramifications are staggering. The explanation is that the principle establishes the reality (or absence) of a certain phenomena.

There are potential residences and addresses. There must be at least one address between each house in order for there to be no houses with consecutive addresses. To do this, only give houses even numbers (leaving odd addresses as the buffer address)

Houses are given even numbers, leaving odd addresses as the buffer address. As a result, we now have

50

addressable addresses

According to the "pigeon hole concept," if items are put into boxes, then there must be at least one box that contains at

[N/k]object.

As a result, it is impossible to assign distinct addresses to several dwellings without using at least one consecutive number.

Since there must be at least two homes with consecutive integer addresses, there must be at least one instance of consecutive integer addresses for houses.

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The standard deviation of the given set of numbers is approximately 0.9896.

How to find standard deviation?

To calculate the standard deviation of the given set of numbers, we first need to find the difference between each number and the mean, which is 7.8. Then we square each of these differences, add them together, divide the result by the total number of numbers, which is 15 in this case, and take the square root of the final quotient. This gives us the standard deviation.

Here we are calculating the difference between each number and the mean:

(10-7.8), (7.5-7.8), (8-7.8), (7-7.8), (8-7.8), (6.5-7.8), (9-7.8), (7.5-7.8), (8-7.8), (8.5-7.8), (7-7.8), (8-7.8), (9-7.8), (6-7.8), (7.5-7.8)

This gives us:

2.2, -0.3, 0.2, -0.8, 0.2, -1.3, 1.2, -0.3, 0.2, 0.7, -0.8, 0.2, 1.2, -1.8, -0.3

Square each of these differences:

4.84, 0.09, 0.04, 0.64, 0.04, 1.69, 1.44, 0.09, 0.04, 0.49, 0.64, 0.04, 1.44, 3.24, 0.09

Add up all the squared differences:

14.69

Divide by the total number of numbers:

14.69/15 = 0.9793

Take the square root of the final quotient:

√0.9793 = 0.9896

Therefore, the standard deviation of the given set of numbers is approximately 0.9896.

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Answer:

B: 60mm

Step-by-step explanation:

Answer:

B. 60 mm

Step-by-step explanation:

1 cm = 10 mm

6 cm = 6 * 1 cm = 6 * 10 mm = 60 mm

Answer: B. 60 mm

False. The magnitude of a vector is always a positive value or zero. It represents the length or size of the vector, and by definition, it is a non-negative quantity.

In mathematics and physics, a vector is a mathematical object that has both magnitude (size) and direction. The magnitude of a vector is a scalar value that quantifies the length or size of the vector, and it is always a positive value or zero.

The magnitude of a vector is denoted by placing vertical bars or double vertical bars around the vector symbol. For example, the magnitude of a vector "v" is written as ||v|| or |v|. It represents the distance or length from the origin to the point represented by the vector.

The reason the magnitude of a vector is always non-negative is due to its definition. It is the square root of the sum of the squares of its components. Since squaring a value always produces a non-negative result, the sum of the squares is also non-negative. Taking the square root of a non-negative value yields a positive value or zero.

For example, if we have a vector with components (3, 4), the magnitude of the vector would be calculated as follows:

||v|| = \(sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5\)

Here, the magnitude of the vector is 5, which is a positive value. Therefore, the statement that the magnitude of a vector is always negative is false.

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The standard error of the mean for this random sample of 100 customers is 0.1.

The correct option is C.

The standard error of the mean is a measure that indicates the precision or variability of the sample mean in relation to the population mean. It represents the average amount of sampling error we can expect when estimating the population means based on a sample.

To calculate the standard error of the mean, we divide the standard deviation of the population by the square root of the sample size. In this case, the standard deviation is 1 minute and the sample size is 100.

Dividing 1 by the square root of 100, we get 1/10 or 0.1. This means that the standard error of the mean for this sample is 0.1.

A smaller standard error of the mean indicates that the sample mean is a more accurate estimate of the population mean. In this case, a standard error of 0.1 suggests that the average length of time it took customers to check out may vary around the sample mean by approximately 0.1 minutes.

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The acute angle that the ladder makes with the ground is 70.94°.

To work out the size of the acute angle that the ladder makes with the ground, we need to use trigonometry. Let's call the angle we're trying to find "theta" (θ). We know that the ladder is the hypotenuse of a right-angled triangle, with the wall being one side and the ground being the other. Using the Pythagorean theorem, we can work out the length of the ladder's side of the triangle:
a² + b² = c²
where a = 1.8m (the distance from the wall to the base of the ladder), b =? (the distance from the base of the ladder to the ground), and c = 5.1m (the length of the ladder).
Rearranging this formula, we get:
b² = c² - a²
b² = (5.1)² - (1.8)²
b² = 24.21
b = √24.21
b = 4.92m (to 2 decimal places)
Now that we know the lengths of the sides of the triangle, we can use trigonometry to find the angle θ. Specifically, we can use the tangent function:
tan(θ) = opposite/adjacent
where opposite = b (the distance from the base of the ladder to the ground) and adjacent = a (the distance from the wall to the base of the ladder).
tan(θ) = 4.92/1.8
tan(θ) = 2.7333 (to 4 decimal places)
Now we need to find the inverse tangent (or arctan) of this value to get the angle θ:
θ = arctan(2.7333)
θ = 70.94° (to 1 decimal place)
Therefore, the acute angle that the ladder makes with the ground is 70.94°.

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The perceptual constancy that recognizes objects despite changes in angle, distance, or illumination is shape constancy.

Shape constancy is a perceptual phenomenon where our brain recognizes and maintains the perceived shape of an object, even when it is viewed from different angles or distances. It allows us to identify and understand objects based on their familiar shapes, regardless of the variations in how they appear due to changes in viewing conditions. Shape constancy helps us perceive objects as having a consistent shape, providing stability and continuity in our visual perception. The perceptual constancy that the brain recognizes, despite the angle, distance, or illumination of how the object is viewed, is size constancy. Size constancy refers to the ability to perceive the true size of an object regardless of its distance from the observer or the viewing angle. Our brain compensates for changes in distance and angle to maintain a consistent perception of the object's size. This allows us to accurately perceive the size of objects even when they appear smaller or larger due to their distance or perspective.

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