In the given figure, find the value of x.​

1 ball and 3 board games can be chosen by Amanda in option E. 60 ways.

Here it is given that Amanda needs 1 ball and 3 board games.

The toy store only has 3 kinds of balls and 6 types of board games. Hence we will use combinations to determine the no. of ways she can choose the items

ⁿCₓ = n! / (n - r)! X r!

The ball can be chosen in

³C₁ ways

= 3! / 2! X 1!

= 6/2

= 3 ways

The board game can be chosen in  ⁶C₃ ways

= 6! / 3! X 3!

= 720 / 36

= 20 ways

Hence the total number of ways the items can be chosen is

3 X 20 ways

= E. 60 ways.

Complete Question

Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?

A. 9

B. 12

C. 14

D. 15

E. 60

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Answer:$46.75

Step-by-step explanation:

The total is the whole or 100%

55=100%

x=15%

Multiply across

100%*x=55*15%

x=8.25

Now we minus 8.25 from 55=

$46.75

Answer:

bx + 7x = 9 or (b + 7)x = 9

Step-by-step explanation:

The correct statement among the given choices is: approximately Normal since both sample sizes are greater than 30. Therefore the correct option is (C).

According to Central Limit Theorem, when the sample sizes are sufficiently large (typically considered as n > 30), the sampling distribution of the mean tends to follow an approximately normal distribution, regardless of the shape of the population distribution.

From the question, both sample sizes are greater than 30 (40 for baseball players and 35 for football players), so we can reasonably assume that the sampling distribution of the mean salaries for both baseball and football players will be approximately normally distributed.

Therefore, the shape of the sampling distribution for xbarB - xbarF can be approximated by a normal distribution due to the sample sizes being greater than 30.

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The intersection of the arcs ensures that the constructed line is equidistant from the endpoints, forming a right angle, and properly bisects the line segment.

When constructing a perpendicular bisector, the arcs must intersect in order to ensure that the bisector is perpendicular to the line segment being bisected. This is because the perpendicular bisector divides the line segment into two equal parts and creates a right angle (90 degrees) at the point of intersection.

By constructing two arcs with the same radius from the endpoints of the line segment, the arcs will intersect at two points. Drawing a straight line connecting these two points of intersection will create the perpendicular bisector.

If the arcs do not intersect, it means that the line connecting the endpoints is not equidistant from the endpoints. In such a case, the line would not be a perpendicular bisector but rather a different type of line (such as an oblique bisector).

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Answer:

For the Midwest region, the proportion of sales from new stores is approximately 15%. Because the proportion is notably different from the sales director's statistical model, the data is inconsistent with the model.

Answer 2:

For the South region, the proportion of sales from current stores is approximately 63%. Because this proportion is notably different from the sales director’s statistical model, the data is inconsistent with the model.

Answer 3:

Based on the first month's data, the proportion of sales from new stores in the Midwest region is 15%, which is far from the company's goal of 25%. However, in the South region, the proportion of sales from new stores is not available.

It is unclear whether additional training is necessary for all of the sales representatives based solely on the first month's data. It may be necessary to collect more data over a longer period to determine whether additional training is necessary.

Step-by-step explanation:

The statistical method commonly used to analyze the clustering of personality traits is called cluster analysis.

Cluster analysis is a multivariate statistical technique that aims to identify groups or clusters of similar observations or variables based on their characteristics or measurements.

In the context of personality traits, cluster analysis can be used to explore patterns of similarity or dissimilarity among individuals based on their trait profiles.

In cluster analysis, various algorithms and distance metrics are employed to determine the grouping of observations.

The goal is to create homogeneous clusters, where individuals within the same cluster are more similar to each other compared to individuals in different clusters.

The choice of algorithm and distance metric depends on the specific objectives of the analysis and the nature of the data.

Once the cluster analysis is performed, researchers can interpret and describe the identified clusters, examine the characteristics that differentiate the clusters, and investigate the relationships between the clusters and other variables of interest.

This allows for a deeper understanding of the underlying patterns and structures within the personality trait data.

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When calculating basic temperature data, the difference between the highest and lowest monthly means is called temperature range.

Temperature range refers to the difference or interval between the highest and lowest monthly mean temperatures. It provides information about the variability in temperatures experienced over a specific period, typically within a month. This range is obtained by subtracting the lowest monthly mean temperature from the highest monthly mean temperature.

Temperature range is an essential metric in climate and weather analysis. It helps to understand the extent of temperature fluctuations and the overall temperature variability in a particular region.

A larger temperature range indicates greater variable, while a smaller range suggests more consistent temperatures.

By examining the temperature range, climatologists, meteorologists, and researchers can gain insights into seasonal temperature patterns, diurnal temperature variations, and potential climate trends.

Temperature range is also relevant for various applications, such as agriculture, energy management, and human comfort assessments.

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We have enough data to reject our null hypothesis if the value of our test statistics falls below critical values of z at a 1.25% level of significance (critical values are -1.645 and 1.645). This is because the test statistic value will not fall within this region.

Given that the population mean is 650, we do a two-tail hypothesis test with a level of significance of 0.025.

Let, μ = population mean

Thus, Null hypothesis, \(H_{0}\):μ= 650.

Alternate Hypothesis, \(H_{A}\):μ≠650

In this case, the population mean is equal to 650, according to the null hypothesis.

The alternative hypothesis, on the other hand, contends that the population mean is not 650.

First things first: the level of significance to be accepted for the two-tailed test is (\(\frac{\alpha }{2}\)= \(\frac{0.025}{2}\)) = 0.0125 or 1.25%.

Therefore, the following is the decision rule for rejecting a null hypothesis:

We have enough data to reject our null hypothesis if the value of our test statistics falls in the rejection region and is less than the critical values of z at a 1.25% level of significance (critical values are -1.645 and 1.645). This is because the test statistic value will not fall within this region.

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Answer:

"?" = 3

Step-by-step explanation:

The answer can be gotten by subtracting 4 from 7. The 4 is the exponent in (4a^4b), and the 7 is the exponent in 16a^7b. So:

7 - 4 = 3

Therefore, the "?" = 3

Hope this helps :)

Answer:

?=3

Step-by-step explanation:

Okay so with exponents, when multiplying exponents with the same base, you add them.

In your case, we have a^? * a^4=a^7 (this is the only part you need to solve)

so ?+4=7

?=7-4=3

Have a nice day!

Based on the given information that Caruso, Inc. has an inventory turnover rate of 8 times and a cost of goods sold of $150,000, the company average inventory can be calculated.

To calculate the average inventory, we can use the formula: Average Inventory = Cost of Goods Sold / Inventory Turnover Rate.

Plugging in the values, we have: Average Inventory = $150,000 / 8 = $18,750. Therefore, option c. The company's average inventory is $18,750 is the correct answer.

The inventory turnover rate measures how quickly a company sells its inventory during a specific period. In this case, the turnover rate of 8 times indicates that Caruso, Inc. sells its entire inventory 8 times per year. This suggests that the company has an efficient inventory management system and a relatively high sales volume compared to its inventory level. However, the other options provided (a, b, d) are not supported by the given information and are not accurate in this context.

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If East St. intersects both North St. and South St, then North St. and South St. may or may not be parallel

The statement is given as

East St. intersects both North St. and South St.

The given information is limited, and there are two possible scenarios

Scenario 1: Both St are parallel

The above scenario is possible if the East St. intersects both North St. and South St at 90 degree.

This means that East St. is perpendicular to both North St. and South St

Scenario 2: Both St are not parallel

The above scenario is possible if the East St. intersects at least one of North St. and South St at angles other than 90 degrees.

This means that East St. is not perpendicular to both North St. and South St

Hence, North St. and South St. may or may not be parallel

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The histograms typically are used to display continuous measures.

There are different types of charts: histogram, line chart, pie chart, and others.

The histogram is a type of chart used as a tool that provides a way to assess the distribution of data. From this type of chart, a set of data are previously tabulated and divided into classes. In the other words, the histogram is applied to summarize discrete or continuous measures, so it becomes more easily the understand the used data. There are many websites and software that allow the plot of this type of chart.

From the explanation, it is possible to identify the histograms typically are used to display continuous measures.

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Carlos needs a total of 400 Euros for buying 500 Euros.

The total amount available with Carlos for his holiday to Germany = 515 Euros

Amount spent to obtain these 515 Euros = £ 412

As it is clear that for buying 515 Euros he spent 412 Euros.

So, we will first find the Euros spent on buying 1 Euro.

For that, we will use Unitary Method:

So, the total Euros spent for buying 1 Euro will be = (412/515) = 0.8

So, for finding the total Euros spent for obtaining 500 Euros we will simply multiply the total Euros needed by the Euro spent for buying 1 Euro.

Thar will be equal to (0.8 * 500) = 400 Euros.

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Answer:

2

Step-by-step explanation:

Answer:

x=89

Step-by-step explanation:

Well all of a quadrilaterals interior angles add up to 360 degrees so you would add together 69+118+84 which equals 271, and then you'd subtract that from 360 which is 89. Hope this helps. :)

Answer:

(0,-6), (2,0), and (1,-3)

Step-by-step explanation:

We are given the equation of the line, and are then asked to find points on that line that correspond to values of x and y (x,y).  We can either graph the line and look for the points, or we can solve the equation using the given value of x or y, to find the other value of y or x.  Let's do both.

Graph

See the attached graph.  The line is drawn and then the three points are located using the provided value of x or y.  

We find:

    (0,-6)

    (2,0), and

    (1,-3)

Solve

Fun, but we could also put the one given value in the equation and then solve for the other:

y = 3x - 6

----------

1.  (0,__)

y = 3x - 6

y = 3*(0) - 6

y = -6

The point is (0,-6)

2.  (__,0)

y = 3x - 6

0 = 3x - 6

-3x = -5

x = 2

The point is (2,0).

3.  (1,__)

y = 3x - 6

y=3*(1)-6

y= -3

The point is (1,-3)

Yara's mother was 32n-5 years old 5 years ago in terms of n.

Yara's mother is 4n times older than Yara, and Yara is 8 years old, so we can set up the equation:

Mother's age = 4n * 8 years

We are also told that Yara's mother is 5 years older than she is now, so we can add 5 to the equation above:

Mother's age 5 years ago = 4n * 8 years - 5 years

Now we can simplify this equation:

Mother's age 5 years ago = 32n - 5 years

Now we can substitute the value of n to find the mother's age in terms of n.

To find the age of Yara's mother 5 years ago in terms of n, we need to know the value of n. But we don't have the value of n so we can't find the exact age but we can find it in terms of n which is 32n-5 years.

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Answer:B and D

Step-by-step explanation:big brain

Answer:

\(\frac{7}{5}\)

Step-by-step explanation:

1 \(\frac{2}{5}\)

= 1 + \(\frac{2}{5}\)

= \(\frac{5}{5}\) + \(\frac{2}{5}\)

= \(\frac{5+2}{5}\)

= \(\frac{7}{5}\)

The fraction is:

7/5

Step-by-step explanation:

The number we're given is:

\(\large\pmb{1\dfrac{2}{5}}\)

To convert it into an improper fraction, we first multiply the whole number part (1) times the denominator (5). Then, we add 2, the numerator. We get 7.

That is the numerator of the improper fraction. As for the denominator, we just copy it.

\(\pmb{\dfrac{7}{5}}\)

Therefore, the answer is 7/5.

Answer: Y= -3/7+5

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

Planes ZWV (shaded side) and plane TUV (Top of the box) are the two sides of the given cube or box in the picture attached,

Common edge of the given planes is side SV.

Common edge or the line where two planes meet is the line of intersection of two planes.

Therefore, line SV will be the line of intersection of the given planes.

Option (1) will be he answer.

The requried percentage change in crimes from years 1 to 5 is given as    60.86%.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
From the table.

Crime in year 1 = 23
Crime in year 5 = 9

Percentage change = 23 - 9 / 23 ×100%
                              = 60.86%

Thus, the requried percentage change in crimes from years 1 to 5 is given as 60.86%.

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Explanation:

Refer to the graph below. It should be similar to what your teacher gave you, based off the description.

Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.

As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.

In terms of notation, we can write \(\displaystyle \lim_{x\to3^{+}}f(x) = 3\)

The portion \(x \to 3^{+}\) means we're approaching 3 from the positive side, aka the right hand side on the number line.

You have the following expression:

If the values of x and y are:

x = 9

y = 1

when you replace these values into the polynomial expression you obtian:

Hence, the answer is 73

The supervisor calculates the mean number of miles that the employees in a department live from work and obtains the value  (x-bar).

The mean, denoted by x - bar (x-bar), is a statistical measure that represents the average value of a set of data. In this case, the supervisor is interested in determining the average distance in miles that the employees in a department live from their workplace.

By calculating x-bar, the supervisor obtains a single value that summarizes the central tendency of the data set.

The mean is computed by summing all the distances and dividing the sum by the total number of employees in the department.

It provides valuable insight into the typical commute distance of the employees and can be used for various purposes, such as evaluating transportation needs or planning employee benefits.

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The numerical expression for the verbal expression is 18 ÷ (2+7).

Given,

Verbal expression = Eighteen divide by the sum of two and seven

we know that ,

We can write any  verbal expression  to numerical expression by using playing with numbers.

Playing with numbers:

Playing with numbers involves activities like arranging the numbers, understanding , finding out whether a given number is a factor of another number or a multiple of another number, and understanding the properties of factors and multiples

Now, According to question

Eighteen divided by the sum of two and seven

18÷(2+7)

Therefore,

The numerical expression is 18÷(2+7).

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The question gives that 9 egg cartons contain 72 eggs.

It then follows that we can find the number of eggs in one carton by division.

Hence, in one carton, we have

We can, therefore, fill the boxes as shown below:

There are 8 eggs in one carton.

Answer:

The percentage of the surveyed that preferred Lirt juice is 40%

Step-by-step explanation:

In this question, we are asked to calculate the percentage of beings that preferred Lirt juice

Let’s look at the survey presented in the question. 10 beings preferred out of a total of 25

The percentage that preferred Lirt juice will thus be;

10/25 * 100%

= 10 * 4 = 40%