a lawn sprinkler sprays water 7 feet in every direction as it rotates. what is the area of the watered lawn? use 3.14 for π and be sure to put the correct unit of measure.

This phenomenon can be attributed to the regression effect or reversion to the mean.

The number of children who were above the 90th percentile in height at age eighteen is expected to be quite a bit smaller than the number of children who were below.

This phenomenon can be attributed to the regression effect or reversion to the mean. When a sample is selected based on extreme values (in this case, the 90th percentile at age four), there is a tendency for subsequent measurements to be closer to the average or mean.

It is likely that some of the children who were initially at the 90th percentile will exhibit a decrease in their relative height ranking over time, while fewer children will experience an increase.

This pattern is expected due to the statistical tendency for extreme values to regress towards the mean.

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The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.

This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.

Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.

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To multiply an octal number n directly in octal by 10s, you simply shift the number n s places to the left, adding s number of 0s to the right.

To divide an octal number directly in octal by 10s, you simply shift the number n s places to the right, removing s number of digits from the right.

You then calculate the quotient and remainder. For example, if n = (741)s, and s = 2, then:

(741)s / (10)s = (74)s with a remainder of 1.

To determine the binary form of the number n = 22019, you can convert each digit of the decimal number to binary and then combine the binary digits. Here's the conversion process:

22,019 / 2 = 11,009 with a remainder of 1

11,009 / 2 = 5,504 with a remainder of 1

5,504 / 2 = 2,752 with a remainder of 0

2,752 / 2 = 1,376 with a remainder of 0

1,376 / 2 = 688 with a remainder of 0

688 / 2 = 344 with a remainder of 0

344 / 2 = 172 with a remainder of 0

172 / 2 = 86 with a remainder of 0

86 / 2 = 43 with a remainder of 0

43 / 2 = 21 with a remainder of 1

21 / 2 = 10 with a remainder of 1

10 / 2 = 5 with a remainder of 0

5 / 2 = 2 with a remainder of 1

2 / 2 = 1 with a remainder of 0

1 / 2 = 0 with a remainder of 1

So the binary form of n = 22019 is 1010110011011. The number n has 13 binary digits.

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Answer:

a. 473.15

b. C=K-273.15

C. 26.85

To find the ratios of the base areas, surface areas, and volumes of the two similar cones, we can use the following formulas:

Ratio of base areas = (radius of cone A)^2 : (radius of cone B)^2

Ratio of surface areas = (surface area of cone A) : (surface area of cone B)

Ratio of volumes = (volume of cone A) : (volume of cone B)

Using the given dimensions, we can calculate the ratios as follows:

Ratio                  Calculation                                  Simplified

Base areas         (MN^2 : EF^2)                             1 : 9

Surface areas  (πMN(MN + ON) : πEF(EF + FG))     1 : 3

Volumes   (1/3 x πMN^2 x ON : 1/3 x πEF^2 x FG)     1 : 27

Therefore, the ratios of the base areas, surface areas, and volumes of the two cones are 1 : 9, 1 : 3, and 1 : 27, respectively.

Answer:

y = 6

Step-by-step explanation:

A line with a slope of zero is a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (- 5, 6 ) with y- coordinate 6 , then

y = 6 ← equation of line

9514 1404 393

Answer:

  x = 1, x = 2

Step-by-step explanation:

A graphing calculator shows the graphs cross at x=1 and x=2.

__

There is no algebraic method of solving an equation like this. Trial and error is another method that works.

Notice that the reflection is over a line of the form x=constant; in this case, the y-coordinate of the reflected point stays the same while the x-coordinate changes as expressed by the transformation below

Hence, in our case

Transform points N, M, and O accordingly,

Answer:

n,(-5, -6), M(-2, -5) o(-3, -7)

Step-by-step explanation:

other guy wrong but here you go.

Number line can be found in the picture attached below

Answer:

The claim is incorrect ; Point S will be located to the left of Point P

2.5 > 1.25

Step-by-step explanation:

Location of point S = 5/4 = 1 1/4 = 1.25

From the number line ; location of point P = 2.5

Point S is lesser than P, therefore, point S would be located to the left of point P on the number line.

Inequality that describes the relationship between the value of point P and point S ;

Point P = 2.5 ; Point S = 1.25

Point P > Point S

2.5 > 1.25

Answer: 144,36,0,-41

hope this helps :}

Answer:

c=11

Step-by-step explanation:

Answer:

c = 11

Step-by-step explanation:

6 = c - 5

6 +5 = c -5 +5

11 = c

hope this helps <3

The power series solution \(\(y = \sum_{n=0}^{\infty} a_nx^{n-1}\)\) for the given differential equation has the condition\(\(a_2 = -ca_3\), where \(c\)\) is a constant.

In this problem, we are given a differential equation and we need to find a solution to the equation in the form of a power series. We are also given a condition relating the coefficients of the power series. Let's break down the problem and explain it step by step.

We are given a second-order linear homogeneous differential equation of the form:

\(\[x^{2}y^{\prime \prime} + 5xy^{\prime} + (x + 3)y = 0 \quad \text{for } x > 0, \text{ near } x_0 = 0.\]\)

We want to find a solution \(\(y\)\) of this equation in the form of a power series:

\(\[y = \sum_{n=0}^{\infty} a_nx^{n-1}.\]\)

To find a solution using the power series method, we will substitute this series into the differential equation and solve for the coefficients \(\(a_n\).\)

First, let's find the first and second derivatives of \(\(y\)\) with respect to \(\(x\)\):

\(\[y' = \sum_{n=0}^{\infty} a_n \cdot \frac{d}{dx} (x^{n-1}),\]\)

\(\[y'' = \sum_{n=0}^{\infty} a_n \cdot \frac{d}{dx} \left(\frac{d}{dx} (x^{n-1})\right).\]\)

Simplifying these derivatives, we have:

\(\[y' = \sum_{n=0}^{\infty} a_n \cdot (n-1)x^{n-2},\]\)

\(\[y'' = \sum_{n=0}^{\infty} a_n \cdot (n-1)(n-2)x^{n-3}.\]\)

Now, substitute these derivatives into the differential equation:

\(\[x^2 \sum_{n=0}^{\infty} a_n \cdot (n-1)(n-2)x^{n-3} + 5x \sum_{n=0}^{\infty} a_n \cdot (n-1)x^{n-2} + (x + 3) \sum_{n=0}^{\infty} a_nx^{n-1} = 0.\]\)

Let's rearrange the terms to combine the series:

\(\[\sum_{n=0}^{\infty} a_n \cdot (n-1)(n-2)x^{n-1} + 5 \sum_{n=0}^{\infty} a_n \cdot (n-1)x^{n-1} + \sum_{n=0}^{\infty} a_nx^{n-1} + 3 \sum_{n=0}^{\infty} a_nx^{n-1} = 0.\]\)

Now, we can factor out \(\(x^{n-1}\)\) and combine the series:\(\[\sum_{n=0}^{\infty} (a_n \cdot (n-1)(n-2) + 5a_n \cdot (n-1) + a_n + 3a_n)x^{n-1} = 0.\]\)

For this equation to hold for all values of \(\(x\)\), the coefficient of each power of \(\(x\)\) must be zero.

Therefore, we can set each coefficient equal to zero:\(\[a_n \cdot (n-1)(n-2) + 5a_n \cdot (n-1) + a_n + 3a_n = 0.\]\)

Simplifying this equation, we have:

\(\[a_n \cdot [(n-1)(n-2) + 5(n-1) + 1 + 3] = 0.\]\)

Since this equation should hold for all values of \(\(n\)\), the coefficient in the square brackets must be zero. Therefore, we have:

\(\[(n-1)(n-2) + 5(n-1) + 1 + 3 = 0.\]\)

Simplifying this quadratic equation, we get:

\(\[n^2 - 3n + 2 + 5n - 5 + 1 + 3 = 0,\]\)

\(\[n^2 + 2n + 1 = 0,\]\)

\(\[(n + 1)^2 = 0.\]\)

From this equation, we can see that \(\(n = -1\)\) is a repeated root. Therefore, the coefficient \(\(a_n\)\) must satisfy this condition. We are given that \(\(a_2 = -ca_3\)\), so we can conclude that \(\(a_2\) and \(a_3\)\) must be related by the factor \(\(c\)\).

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SOLUTION

We will apply the amount formula

Substituting each into the equation, we have

Hence the answer is $10,333.71 to two decimal places

Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

<95141404393>

To determine if the given points are part of the (200) plane, we need to check if their coordinates satisfy the equation of the plane.

The equation of a plane in three-dimensional space is typically written in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants. For the (200) plane, the equation would be 2x + 0y + 0z + 0 = 0, which simplifies to 2x = 0. Let's check the given points: a) (1/2, 0, 0): When we substitute x = 1/2 into the equation 2x = 0, we get 2(1/2) = 0, which is true. Therefore, point a) lies on the (200) plane. b) (-1/3, 0, 0): Substituting x = -1/3 into the equation 2x = 0 gives us 2(-1/3) = 0, which is also true. So, point b) is part of the (200) plane. c) (0, 1, 0):When we substitute x = 0 into the equation 2x = 0, we get 2(0) = 0, which is true. Thus, point c) lies on the (200) plane. All three given points (a), b), and c)) are part of the (200) plane.

In conclusion, all three given points (a), b), and c)) are part of the (200) plane.

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Answer:

43

Step-by-step explanation:

2 significant figures means we keep the first 2 and round the 1 place

42.598 we round to 43 since next to the 2 is a 5 so we round up

And 43 are 2 significant figures since none of them are zero

Hopes this helps please mark brainliest

One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.

A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.

Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.

If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.

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Step-by-step explanation:

work is shown and pictured

Answer:

\(2m=45\)

Step-by-step explanation:

He earned twice as much washing cars, which is \(2m\). This is given to be equal to 45.

Answer:

False

Step-by-step explanation:

When you are squaring a number, you multiply the number by itself (7*7 or 12*12), so if you were to reverse that and find the square root of the number (let's say 49), you'd have to do some guess and check and figure out which number, when multiplied with itself, would equal that number (7*7 = 49).

The square roots of a number are the number by which multiply with the same number we will get the number thus the given statement is completely False.

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number b.

Consider the number 9.

The square root of it is given as,

√(9) = 3

Now, if we multiply 3 by 3 then we get 9 as,

3 x 3 = 9

If we divide 3 by 2 then 3/2 = 1.25 is not 9.

Hence "The square roots of a number are the number by which multiply with the same number we will get the number thus the given statement is completely False".

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The amount of substance that will remain after one day is 1.3 grams

Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive.

The number of substance left after a period of time is expressed as:

N(t) = N(o) e^-kt

k = 18/100 = 0.18

t = 1 day = 24hours

N(o) = 100

therefore;

N(t) = 100e^-0.18(24)

N(t) = 100e^-4.32

N(t) = 100 × 0.013

N(t) = 1.3 grams

therefore the number of substance left after a day is 1.3 grams

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Answer:

6 hours

Step-by-step explanation:

75 x 6 = 450

Answer:

1a. A

1b. C

2 and 3 you have to draw

4a. 90 degree angle

4b. 180 degree angle

5a. 112 degrees

5b. 145 degrees

Step-by-step explanation:

for 5 you just subtract the given values from 360

Answer:

1a) A

(both B and C intersect at A)

1b) not sure

2a) draw 270 degree angle

360/4 = 90

90+90+90 = 270 = 3/4

2b) draw an angle less than 90 degree to get an acute angle

3a) first draw a 90 degree angle then divide the angle into two half and you ll get an angle of 45 degrees

90/2 = 45

but since you re not allowed to use compass or protactor so you might not get exact 45 but near to it

3b) draw a 90 degree angle facing downward and thats 270 degree

hope you get what im trying to say if not you can ask me again

4a) acute angle (90 degree)

4b) reflex angle (180 degree)

5a) 112 degree

118 + 130 + x = 360

248 + x  = 360

x  = 360 - 248

x  = 112

5b) 145 degree

360 - 215 = 145

im posting the solutions and the answers of your previous questions here

6a) a = 60 degree

6b) b = 27 degree

because sum of interior angles of a triangle is 180

7a) b = 60 degree and a = 30 degree

7b) x = 36 degree and x = 36 degree

isosceles triangle has 2 same angles and 1 different

x + x + 108 = 180

2x + 108 = 180

2x = 180 - 108

2x = 72

x = 72/2

x = 36

8a) x = 95 degree

8b) a = 100 degree

9) steps;

draw a line segment QR

draw 120 degree angle at point Q

now open the compass of 2cm (or of your own choice) and draw a small arc from point Q such that it intersects line PQ and QR and name that point between QR as O

now from point O, open your compass of same measurement and draw an arc that cuts the previous arc

now draw a line from point Q to join the new formed arc

now using a protactor measure both the newly formed angles

Step-by-step explanation:

Answer:

  an = 2·2^(n-1)

Step-by-step explanation:

There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.

The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...

  4/2 = 2

  8/4 = 2

  16/8 = 2

These ratios are all the same (they are "common"), so the sequence is geometric.

The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

Filling in the values for this sequence, we find the general term to be ...

  an = 2·2^(n-1)

Answer:

22

Step-by-step explanation:

first find g(2)

g(2)=2(2)^2-1

         2(4)-1

          8-1

           7

now since g(2)=7 we find f(7)

f(7)=3(7)+1

f(7)=21+1

f(7)=22

hopes this helps

The distance between the school and the library is less. Then the library is closer to school.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

On one map of a town, the scale from the town to the map is 12mi:3cm.

The school is 2.5cm from the grocery store on this map.

Then the distance between the school and the grocery store will be

⇒ (12 / 3) x 2.5

⇒ 10 miles

On a different map of the same town, the scale from the town to the make is 12mi: 2cm.

The school is 1.5cm from the library on that map.

Then the distance between the school and the library will be

⇒ (12 / 2) x 1.5

⇒ 9 miles

Thus, the distance between the school and the library is less.

Then the library is closer to school.

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The given information is:

- The tank has the shape of a cylinder

- The dimensions of the cylinder are 5 ft long and diameter 2.2 ft.

- The tank is drained at a rate of 2.1 ft^3 per minute.

The volume of the tank is given by the formula:

Where d is the diameter and h is the height.

By replacing the known values we obtain the initial volume:

As the drain rate is 2.1 ft^3 per minute, the time that is needed to empty the tank is:

The answer is 9 minutes.

Answer:

Difference Between Discrete and Continuous Data

discrete vs continuous dataIn statistics, data is defined as the facts and figures collected together for the purpose of analysis. It is divided into two broad categories, qualitative data, and quantitative data. Further, the qualitative data is cannot be measured in terms of numbers and it is sub-divided into nominal and ordinal data. On the other hand, quantitative data is one that contains numerical values and uses range. It is sub-classified as discrete and continuous data. Discrete data contains finite values that have nothing in-between

As against, continuous data contains data that can be measured, that includes fractions and decimals. Take a read of the article to know the difference between discrete and continuous data

Step-by-step explanation: