Rose bushes are planted in a line on both sides of a path. The distance between the
bushes is 2 meters. What is the largest number of rose bushes that can be planted if
the path is 20 meters long?

Answer:

The mean number of books to a box is 11.

Step-by-step explanation:

Given - Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.

6, 14, 6, 18, 9, 9, 12, 10, 11, 15

To find - Which statement is true about the number of books packed to a box?

Solution -

Mean of number of books is equal to

= (6+ 14+ 6+ 18+ 9+ 9+ 12+ 10+ 11+ 15)/10

= 110/10

= 11

∴ we get

The mean number of books to a box is 11.

For Median -

Firstly, arrange the data into increasing order

6, 6, 9, 9, 10, 11, 12, 14, 15, 18

Now, we know that,

If total data(n) is even then median is the average of value at (n/2)th place and [(n/2 + 1]th place

Here n = 10

So,

Median is average of 10 and 11

i.e. Median = (10+11)/2

                  = 21/2 = 10.5

So,

Median number of books to a box is 10.5

∴ we get

The correct option is - The mean number of books to a box is 11.

Answer:

The mean number of books to a box is 11.

Step-by-step explanation:

Answer:

The null hypothesis is [tex]H_0: \mu = 99[/tex]

The alternate hypothesis is [tex]H_a: \mu > 99[/tex]

The test statistic is [tex]z = 0.31[/tex]

The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.

Step-by-step explanation:

It is believed that the average amount of money spent per U.S. household per week on food is about $99. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average.

At the null hypothesis, we test if the mean is the national average of 99, that is:

[tex]H_0: \mu = 99[/tex]

At the alternate hypothesis, we test if the mean is greater than the national average of 99, so:

[tex]H_a: \mu > 99[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

99 is tested at the null hypothesis:

This means that [tex]\mu = 99[/tex]

A random sample of 16 households in a certain affluent community yields a mean weekly food budget of $100. Standard deviation of $13.

This means that [tex]n = 16, X = 100, \sigma = 13[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{100 - 99}{\frac{13}{\sqrt{16}}}[/tex]

[tex]z = 0.31[/tex]

The test statistic is [tex]z = 0.31[/tex].

Determine if the results significant at the 5% level.

The pvalue of the test is the probability of finding a sample mean above 100, which is 1 subtracted by the pvalue of z = 0.31.

Looking at the ztable, z = 0.31 has a pvalue of 0.6217

1 - 0.6217 = 0.3783

The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.

Answer:

200 CENTIMETRES

Step-by-step explanation:

Answer: 441.32 currency units

Step-by-step explanation:

The CD changer costs 108 currency units and the Camera costs 364 currency units.

First add these up to find out the total price:

= 108 + 364

= 472 currency units

The sales tax is 6.5% and this needs to be deducted from the total to get the after-tax total:

= 472 * ( 1 - 6.5%)

= 441.32 currency units

Answer:

it is not factorable

Step-by-step explanation:

There are no factors of 24 that will make -4, so it is not factorable

The population of US is 330 million approx.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." The number "%" is used to symbolize it.

Given

population of new york = 2.727272% population of US

population of new york = 9 million

population of US = 1/2.727272% of new york

population of US =  36.6666 x 90,00,000

population of US = 33,00,00,087.9 = 330 million approx

Hence population of US is approx 330 million.

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Answer:

A) an equilateral triangle with acute angles (60°)

B) isn't the lengths of a triangle

C) is a right triangle

D) is a right triangle

Step-by-step explanation:

A) 2,2,2, all sides and angles are all equal

B) applying cos rule to get the angles, an angle will be zero and a triangle can't have zero angle, thus the lengths are not that of a triangle

C) it's a right triangle as the dimensions are a pythagorean triple

D) it's a right triangle as the dimensions are a pythagorean triple

Answer:

increase amount = 32× 4.4%

= 32 × 4.4 ÷ 100

= 32 × 44 ÷ 1000

= 1.408

32 increased by 4.4% = 32 + 1.408 = 33.408

The simplified expression is [tex]c^2 d^2 e^6 / b^8[/tex]

The given expression is [tex](a^0 b^-4 cde^3)^2[/tex]

We know that any number raised to the power of 0 is 1.

Therefore,[tex]a^0 = 1[/tex].

Also, any number raised to the power of -1 is its reciprocal.

Therefore, [tex]b^-4 = 1/b^4[/tex]

Simplifying the above expression we get

[tex](1*1/b^4 * cde^3)^2 = (cde^3/b^4)^2[/tex]

Now, we apply the rule that [tex](a^m * a^n) = a^(m+n)[/tex]

So, [tex](cde^3/b^4)^2 = c^2 d^2 e^6 / b^8)[/tex]

Hence the simplified expression is [tex]c^2 d^2 e^6 / b^8[/tex]

Please note, when an exponent is raised to another exponent, we can multiply the exponents, so [tex](a^m)^n = a^(m*n)[/tex]

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Answer:

10

Step-by-step explanation:

Hope it helps! :D

Answer:

6

Step-by-step explanation:

1 1/2 divided by 1/4

1 2/4 divided by 1/4

6/4 divided by 1/4

How many times does 1/4 go into 6/4?

From the inventory ratios of  24 8, 33.4 and 53.8 of  Dunn and Bradstreet report. It can be concluded that

The problem is seeking expression of ratios in percentage

Ratios represents part or share of a whole while percentage refers to a fraction of hundred

Calculation of the whole among the ratios 24 8 : 33.4 : 53.8 is done by adding up

= 24 8 + 33.4 + 53.8

= 108

Expressing as ratio 53.8 a percentage, we have

= 53.8/108 * 100

= 0.4981 * 100

= 49.81%

approximately 50%

We can therefore say that inventory of 53.8 or more is 50%

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Answer:

[tex]m = 10\sqrt 3[/tex]

[tex]n = 10[/tex]

Step-by-step explanation:

Required

Find m and n

Considering the given angle, we have:

[tex]\sin(60) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(60) = \frac{m}{20}[/tex]

Make m ths subject

[tex]m = 20 * \sin(60)[/tex]

[tex]\sin(60) =\frac{\sqrt 3}{2}[/tex]

So, we have:

[tex]m = 20 *\frac{\sqrt 3}{2}[/tex]

[tex]m = 10\sqrt 3[/tex]

Considering the given angle again, we have:

[tex]\cos(60) = \frac{Adjacent}{Hypotenuse}[/tex]

This gives:

[tex]\cos(60) = \frac{n}{20}[/tex]

Make n the subject

[tex]n = 20 * \cos(60)[/tex]

[tex]\sin(60) =\frac{1}{2}[/tex]

So, we have:

[tex]n = 20 *\frac{1}{2}[/tex]

[tex]n = 10[/tex]

Answer:

-6 < x <1 , (-6, 1)

Step-by-step explanation:

Answer:

[tex]\displaystyle 1\frac{1}{4}\pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 4cos\:(1\frac{3}{5}x - 1\frac{3}{10}\pi)} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{13}{16}\pi} \hookrightarrow \frac{1\frac{3}{10}\pi}{1\frac{3}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{-\frac{3}{4}\pi} \hookrightarrow \frac{2}{1\frac{3}{5}}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle \boxed{y = 4sin\:(1\frac{3}{5}x + 1\frac{1}{5}\pi)} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{3}{4}} \hookrightarrow \frac{-1\frac{1}{5}\pi}{1\frac{3}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{4}\pi} \hookrightarrow \frac{2}{1\frac{3}{5}}\pi \\ Amplitude \hookrightarrow 4[/tex]

Keep in mind that although this IS a sine function, if you plan on writing your equation as a function of cosine, then by all means, go right ahead. As you can see, the photograph farthest to the right displays the trigonometric graph of [tex]\displaystyle y = 4cos\:1\frac{3}{5}x,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph farthest to the right] is shifted [tex]\displaystyle \frac{13}{16}\pi\:units[/tex]to the left, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{13}{16}\pi\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{13}{16}\pi} = \frac{1\frac{3}{10}\pi}{1\frac{3}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4cos\:(1\frac{3}{5}x - 1\frac{3}{10}\pi).[/tex]Intermediate, the centre photograph displays the trigonometric graph of [tex]\displaystyle y = 4sin\:1\frac{3}{5}x.[/tex]Again, just like before, we must figure out the appropriate C-term that will make this sine graph horisontally shift and map onto the sine graph in the leftward photograph. So, between the two photographs, we can tell that the centre sine graph is shifted [tex]\displaystyle \frac{3}{4}\pi\:units[/tex]to the right, which means that in order to match the leftward sine graph, we need to shift the graph BACKWARD [tex]\displaystyle \frac{3}{4}\pi\:units,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{3}{4}\pi} = \frac{-1\frac{1}{5}\pi}{1\frac{3}{5}}.[/tex]So, the sine graph is [tex]\displaystyle y = 4sin\:(1\frac{3}{5}x + 1\frac{1}{5}\pi).[/tex]Now, the amplitude is obvious to figure out because it is the A-term. Moreover, the midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended four units beyond the midline, hence, your amplitude. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

So we're trying to find the equation of a line using the provided x and y values in the chart. We should start by finding the slope of the line, since that's easiest!

We know that the equation for slope is [tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

All we need to do is pick two points (two x and y coordinates) and respectively plug them into the equation! I want to note that it does not matter which two points you choose! You will always get the same slope!

Alright, so using the two points (-2, -17) and (0, 23) I'll calculate the slope!

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{23-(-17)}{0-(-2)}\\m=\frac{23+17}{0+2}\\m=\frac{40}{2}\\m=20[/tex]

(Just to prove that you can use any two points I'm going to do another example. The only thing you need to keep in mind is that y values are always on top and x values are always on the bottom! In this example I'm using (-6, -97) and (2,63)!)

[tex]m=\frac{63-(-97)}{2-(-6)}\\m=\frac{160}{8}\\m=20[/tex]

As we can see, no matter which points you use, it will always simplify to the same slope!

Now that we have the slope, we need to find the x and y intercepts! An x intercept is the point where y = 0 on the x-axis. A y intercept is the pint where x = 0 on the y-axis!

We already have a y intercept given to us, as you can see in the table there is a point (0, 23). This point is where x = 0! This will be our value next to the y in the equation. So so far, our equation looks like this:

[tex]y-23=20(x-x_1)[/tex]

And how do we know what the x intercept (x1) is? Well, we have a table full of values, so we can use those to plug in for y and x! I want to note again, you do not need to worry about which values you use! Just make sure you have your x and y straight and plug in whichever pair of coordinates you want! I will use the point (-2, -17).

[tex](-17)-23=20((-2)-x_1)\\-40=20(-2-x_1)\\-2=-2-x_1\\x_1=0[/tex]

So it looks like this line goes straight through the origin! If you want to confirm your findings, you can just use another point. This time I'll just use (2, 63)!

[tex](63)-23=20(2-x_1)\\40=20(2-x_1)\\2=2-x_1\\x_1=0[/tex]

This also makes sense to be our x-intercept value since if it was any other number, our y intercept would not be (0, 23) and the given values wouldn't be true anymore! (This is just another way to confirm that it's right!)

Therefore, our final equation is:

y - 23 = 20 (x - 0)

y = 20x + 23 (same answer, just in a different form)

Answer:

180 degrees counter-clockwise and 180 degrees clockwise

Step-by-step explanation:

Answer:

24/7

Step-by-step explanation:

tan 2t =+ 2 tan t) /( 1 - tan²t)

(2(-4/3))/(1- 16/9)

(-8/3)/(-7/9) = 24/7

Therefore , the solution of the given problem of perimeter comes out to be the perimeter is represented by the expression of Perimeter = 30 -6x.

In geometry, a shape's perimeter, or overall length, is referred to as its perimeter. The lengths of all a shape's sides and edges are added up to determine its perimeter.

Here,

Given :  length = 5 - 1(x) or

=> length = 5-x

Width is twice the length

thus,

=>Width = 2(5-x)

=>Width = 10-2x

So ,To find the perimeter

We use,

=> Perimeter = 2(length + width)

=> Perimeter = 2( 5-x + 10-2x )

=>  Perimeter = 2( 15 -3x)

=>   Perimeter = 30 -6x

Therefore , the solution of the given problem of perimeter comes out to be the perimeter is represented by the expression of Perimeter = 30 -6x.

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There is a directly proportional relationship between the weight and total cost of bag of of lemons.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

When two variables are directly or indirectly proportional to one another, their relationship may be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used.

As an illustration, we may write y = kx, where x is the amount of gas in gallons, y is the price in dollars, and k is the proportionality constant.

Given data :

One bag weighs 2.4 pounds and cost $5.28.

Another bag weighs 2.7 pounds and cost $5.94

2.4k = 5.28

k= 2.2

2.7k = 5.94

k = 2.2

k > 1

The weight and total cost of bag of of lemons is directly proportional, so when weight of lemon increases, the cost of lemon also increases.

Therefore, there is a directly proportional relationship between the weight and total cost of bag of of lemons.

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Answer:

Hello, the answer is 6, C.

Step-by-step explanation:

50 percent of 12 is 6.

Answer:

a₁₂₀ = 64.5 , S₁₂₀ = 4170

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 5 and d = 0.5 , then

a₁₂₀ = 5 + (119 × 0.5) = 5 + 59.5 = 64.5

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

the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ] , then

S₁₂₀ = [tex]\frac{120}{2}[/tex] [ (2 × 5) + (119 × 0.5) ]

      = 60(10 + 59.5)

      = 60 × 69.5

      = 4170

Answer:

I can't please the question is sooo hard but can you give steps

Answer:

The mean number of customers that will arrive in a five-minute period is 2.

Step-by-step explanation:

a. What is the mean or expected number of customers that will arrive in a five-minute period

For one minute, the mean is of 0.4 customers.

So, using proportions, for 5 minutes, the mean is of 5*0.4 = 2 customers.

The mean number of customers that will arrive in a five-minute period is 2.

Answer:

y=(x+4)/3

Step-by-step explanation:

Answer:

x + 4 / 3

Step-by-step explanation:

Answer:

x-3

Step-by-step explanation:

hope i helped, tell me if you get it right! :)

Respuesta:

23,5 milímetros

Explicación paso a paso:

Dado :

Diámetro del círculo = 47 mm

Radio del círculo = diámetro / 2

Por lo tanto, Radio = 47 mm / 2

Radio = 23,5 mm

Answer:

0.15

Step-by-step explanation:

I just put the fraction in decimal form since there is no photo.

The method illustrated in this example is not a simple random sampling method. Instead, it is a two-stage cluster sampling method.

It is not always possible to interview or survey an entire population. Therefore, in many research studies, a portion of the population that is expected to represent the population is drawn and surveyed instead. The portion that is drawn is called the sample, and the method used to draw the sample is called the sampling method. Broadly, there are two types of sampling methods. The probability sampling method is a method wherein all members of the population have an equal probability to be selected to be included in the sample. The non-probability sampling method is a method wherein not all members of the population have an equal probability to be selected to be included in the sample. Instead, members are recruited into the sample based on the researcher's subjective and personal judgment.

Simple Random Sampling Method:

Simple random sampling method, sometimes abbreviated as SRS, is the purest form of probability sampling. Figuratively, it is like putting the names of the entire population in a hat and drawing each member from the hat with a blindfold. Therefore, every member of the population has an equal chance of being included in the sample.

Two-stage Cluster Sampling Method:

In the first stage of a two-stage cluster sampling method, the population is first divided into subgroups called clusters. For instance, the population is divided into subgroups based on geographic location. Unlike strata in stratified sampling, clusters are heterogeneous and each cluster is supposed to represent the heterogeneity of the population. These clusters are also known as primary sampling units or PSUs. In the second stage, the simple random sampling method is used to draw individuals from each of the PSUs to be included in the study sample.

Hence, The method illustrated in this example is not a simple random sampling method. Instead, it is a two-stage cluster sampling method.

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Answer:

Area= 46,000

Permiter= 4,600

Step-by-step explanation:

The formula to find the area of a rectangle is Length(L) times Width(W).

So 2,000(L) times 23 (W)= 46,000.

The formula for perimeter is 2(l+w).

So you're going to go 2,000 + 23 = 2,300 times 2 which equals 4,600.

Hope that helped, have a great day!!