The tables show the numbers of lawns mowed by you and your friend each
month for a year.
a. Make a back-to-back stem-and-leaf plot for the data.
b. Use the stem-and-leaf plot to compare the mean and median of the data
for you and your friend. Explain your reasoning.
c. Compare the range of the data for you and your friend.
Lawns Mowed by You
5 12 7 10 25 30
12 8 21 17 20 4
Lawns Mowed by Your Friend
19 32 27 35 40 38
35 29 31 30 32 28
Stem Leaf
0 1 3 4 6
1 0 4
2 5 7
3 1 1 9
4 1 5
Key: 1 | 0 10 plays
Pages Printed
24 32 47 12 31 9
7 10 26 28 20 40

Answer: 5968430.999

Step-by-step explanation:

The sοlutiοn οf the system οf equatiοn is x = 0 and y = 7/3.

If there is nο sοlutiοn tο a system οf equatiοns, it is incοnsistent system; οtherwise, there must be at least οne sοlutiοn. If a set οf equatiοns has infinitely many sοlutiοns, it is dependent.

Every οne οf the equatiοns in a system οf equatiοns must have a sοlutiοn in οrder fοr the system tο be cοnsistent. This demοnstrates that a set οf values fοr the variables may simultaneοusly satisfy all οf the system's equatiοns and shοw that they are nοt mutually exclusive.

There is nο sοlutiοn tο an equatiοn system that satisfies all οf the equatiοns in the system. This indicates that nο cοmbinatiοn οf values fοr the variables can cοncurrently satisfy all οf the system's equatiοns since they are incοmpatible.

The given equatiοns are:

y = 2/3x + 7/3

-4x+6y=14

Substituting the value of y in the second equation:

-4x + 6y = 14

-4x + 6(2/3x + 7/3) = 14

-2x + 4x + 14 = 14

2x = 0

x = 0

Substitute the value of x = 0 we have:

y = 2/3(0) + 7/3

y = 7/3

Hence, the solution of the system of equation is x = 0 and y = 7/3.

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Complete question:

Given system of equations y = 2/3x + 7/3 and -4x + 6y = 14

Find the value of x and y.

Answer:

the correct answer is A

3,-2

The three coins could land any these 8 ways:

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

P(3 heads) = 1 way out of 8  or 1/8

P(2 heads) = 3 ways out of 8 or 3/8

P(1 head) = 3 ways out of 8 or 3/8

P(0 heads) = 1 way out of 8 or 1/8

x=Winnings  P(x)  E(x)=x�P(x)

    $3      1/8      $.375

    $2      3/8      $.75

    $1      3/8      $.375

  -$10      1/8     -$1.25

---------------------------

Total expectation =   $ .25

This shows that any increase in x by a certain factor results in an increase in y by the same factor, confirming that y varies directly with x.

What is Linear equation ?

Linear equation can be defined as equation in which highest degree is one.

To determine if y varies directly with x, we need to check if there is a constant ratio between y and x. In other words, if we increase x by a certain factor, does y also increase by the same factor?

The equation 3y = -7x - 18 can be rewritten as y = (-7/3)x - 6. This is in the form of y = kx + b, where k is the constant of variation and represents the ratio between y and x.

Since the equation is in this form, we can say that y varies directly with x, and the constant of variation is k = -7/3.

To verify that y varies directly with x, we can check that any increase in x by a certain factor results in an increase in y by the same factor, as given by the constant of variation. For example, if we increase x by 3, then y will increase by (-7/3)(3) = -7. If we increase x by 6, then y will increase by (-7/3)(6) = -14.

Therefore, This shows that any increase in x by a certain factor results in an increase in y by the same factor, confirming that y varies directly with x.

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Answer:

Step-by-step explanation:

Given

\(x=1-sin(a)\\y=1+cos(a)\)

Solve for \(a\) in the second equation.

\(y=1+cos(a)\)

\(y-1=cos(a)\)

\(a=cos^{-1}( y-1)\)

Insert our answer for \(a\) into the first equation.

\(x=1-sin(a)\)

\(x=1-sin(cos^{-1}( y-1))\)

\(cos^{-1}=arccos\)

\(x=1-sin(arccos( y-1))\)

Lets simplify \(1-sin(arccos( y-1))\)

A piece of graph paper would be helpful in my opinion.

Here is how I would go about doing so

Draw a triangle in the plane with vertices \((y-1,\sqrt{1^2-(y-1)^2}),(y-1,0)\) and the origin.

\(arccos(y-1)\) is is the angle between the positive x-axis and the ray beginning at the origin and passing through \((y-1,\sqrt{1^2-(y-1)^2})\). Therefore \(sin(arccos(y-1))\) is \(\sqrt{1-(y-1)^2}\)

Now we have

\(x-1-\sqrt{1-(y-1)^2}\\a=arccos(y-1)\)

We can write \(1\) as \(1^2\). Since both terms are now perfect squares, we can factor using the difference of squares formula.

\(a^2-b^2=(a+b)(a-b)\) where \(a=1\) and \(b=y-1\)

\(x=1-\sqrt{(1+y-1)(1-(y-1))}\)

After simplifying we get

\(x=-\sqrt{y(-y+2)}+1\)

\(x=-\sqrt{y(-y+2)}+1\)

\(a=arccos(y-1)\)

I think this is what your question was. If not let me know.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

yes, 29 is a monomial

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Y=2x-4

8=2(6)-4

8=12-4

8=8 Correct

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer: Point D

Step-by-step explanation:

92 is in between 81 and 100, so \(9 < \sqrt{92} < 10\)

Answer:

14.1 cm

Step-by-step explanation:

The answers to each question are:

(a) a1 = 3, a2 = 5, a4 = 17 are prime numbers.

(b)  9 is not a prime number,

What are the prime numbers?

A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In other words, it can only be divided evenly by 1 and itself. Examples of prime numbers include 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and so on.

(a) \(a_{k} = 2 ^ k + 1\)

\(a_{1} = 2^1 + 1 = 3\)

\(a_{2} = 2 ^ 2 + 1 = 5\)

\(a_{4} = 2 ^ 4 + 1 = 17\)

a1, a2, a4 are prime numbers.

(b) We know when k = 3 an \(a_{3} = 2 ^ 3 + 1 = 9\).

9 is not a prime number, it can be divide by 3 * 3 so the Sequence does not always produce a prime number.

Hence, the answers to each question are:

(a) a1 = 3, a2 = 5, a4 = 17 are prime numbers.

(b)  9 is not a prime number,

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Complete question:

It is suggested that the sequence \(a_{k} = 2 ^ k + 1\), k...I produces only prime numbers.

(a) Show that a, a, and a, produce prime numbers.

(b) Prove by counter-example that the sequence does not always produce a prime number.

Considering the algorithm to divide a number by a fraction, she must multiply x by -12/5 to find the answer of the division of x by -5/12.

To divide a number, or even another fraction, by a fraction, we need to multiply the numerator by the inverse of the denominator.

Taking the following division of fractions as an example, we have that:

(a/b)/(c/d).

Hence the quotient is:

a/b x d/c.

For this problem, the division is:

x/(-5/12).

Hence:

Thus the quotient is given by:

-12x/5.

Meaning that she must multiply x by -12/5 to find the answer of the division of x by -5/12.

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Answer:

11 buses

Step-by-step explanation:

215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.

The three methods are used to select a sample from a larger population in order to make inferences about the population as a whole.

Probability-proportional-to-size sampling is a method where the probability of an item being selected is proportional to its size. In this case, the size is represented by the dollar amount of the sale.

Systematic selection involves selecting items at regular intervals. In this case, the starting point is 13 and the interval is 30. Every 30th item is selected, starting from the 13th item.

The starting dollar is $17,240 and the interval is $220,000. Every item with a sales amount that falls within the interval is selected with a probability proportional to its size.

The random-number table selection technique involves using a random number table to select items. The last four digits of the invoice number are used to determine which item is selected.

The selection process starts at row (0004) and column (01) and continues across the row and then down to the next row.

The probability of an item being selected in each method differs and is important in ensuring a representative sample is obtained.

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Answer:

1/8

Step-by-step explanation:

You would need to get the reciprocal of negative eight and then change the sign so you would get 1/8

Answer:

x = -1 ; y=0

Step-by-step explanation:

We plug in the y, from the second equation, in the first one. By doing so we obtain:

-4x +3(x-1) = -2

-4x + 3x - 3 =-2

-x = 1

x= -1

Now we take this value and plug it in the second equation:

y = 1-1 = 0

Solution:

(-1,0)

The current amount of the sale is 96

The sale is 120

It was decreased by 20%

20/100 × 120

= 0.2 × 120

= 24

The amount of the current sale is

120-24

= 96

Hence the amount of the current sale which is calculated by subtracting 24 from 120 is 96

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Answer:

The postage per ounce would be of $2.02.

Step-by-step explanation:

Exponential model:

The postage, in t years after 1963, follows the following format:

\(P(t) = P(0)(1+r)^t\)

In which P(0) is the initial value and r is the growth rate, as a decimal.

In 1963, postage was 5 cents per ounce.

This means that \(P(0) = 5\)

So

\(P(t) = P(0)(1+r)^t\)

\(P(t) = 5(1+r)^t\)

In 1981, postage was 18 cents per ounce.

This means that \(P(1981 - 1963) = P(18) = 18\). We use this to find r. So

\(P(t) = 5(1+r)^t\)

\(18 = 5(1+r)^{18}\)

\((1+r)^{18} = \frac{18}{5}\)

\(\sqrt[18]{(1+r)^{18}} = \sqrt[18]{3.6}\)

\(1 + r = (3.6)^{\frac{1}{18}}\)

\(1 + r = 1.0738\)

So

\(P(t) = 5(1.0738)^t\)

If the trend had continued through to 2015, what would the postage per ounce be?

2015 - 1963 = 52, so this is P(52).

\(P(52) = 5(1.0738)^{52} = 202\)

202 cents, so $2.02.

Answer:

D. $70

Step-by-step explanation:

you can first think that the first tree is $25 plus the nine trees for 5 dollars so  

5x9=45

45+25=70

Hope this helps :D

Step-by-step explanation:

(x²-x+5x-5)(x+2)

(x²+4x-5)(x+2)

x³+2x²+4x²+8x-5x-10

x³+6x²+3x-10

Answer:

Well The answer is: 9

Step-by-step explanation:

(2 3/8 + 11/4)=

(2 + 3) + (3/8 + 3/4)= 6 1/8

(6 1/8 + 2 7/8) =

(6 + 2) + (1/8 + 7/8) = 9

Pls give me brainliest i hope this helped

Answer:

  1330.5 cm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . for radius r and height h

The radius of the given cylinder is 1/2(11 cm) = 5.5 cm. Filling in the formula values, we have ...

  V = π(5.5 cm)²(14 cm) = 423.5π cm³ ≈ 1330.5 cm³

The volume of the cylinder is about 1330.5 cm³.

Answer:

1330.5

Step-by-step explanation:

Radius is half of diameter (11), so 5.5 was the other number I plugged in.

The measure of the side QR is 58.72 if the sides KL=11, NM=17 and OP=38

Having four edges (sides) and four corners, a quadrilateral is a four-sided polygon in geometry (vertices). The term is derived from the Latin terms quadri, a four-letter version, and latus, which means "side." In comparison to other polygons, it is also known as a tetragon. Tetragon is a Greek word that means "four" and "gon" is a word that means "corner" or "angle" (e.g. pentagon). A quadrangle, or 4-angle, is the equivalent term as "gon" denotes "angle." There are four closed sides to a quadrilateral. These shapes below are quadrilaterals: with Raphael, a creation. a four-sided form. One set of parallel sides make up the shape, and there are no right angles.

From the both figures,

KL/NM=OP/QR

11/17=38/QR

QR=(17×38)/11

QR=58.72

Therefore, the measure of the side QR is 58.72 if the sides KL=11, NM=17 and OP=38.

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Answer:

you look at them from an angle

Answer:

He will arrive at 7:31am.