How many variables are displayed in a scatter plot

There are 60 different ways to arrange 3 out of 5 books on a shelf with the order mattering. So option (c) is correct.

To calculate the number of ways to arrange 3 out of 5 books with order mattering, we'll use the permutation formula [tex]\( P(n, k) = \frac{{n!}}{{(n-k)!}} \)[/tex], where ( n ) is the total number of items and ( k ) is the number of items to arrange.

In this case, we have ( n = 5 ) books and we want to arrange ( k = 3 ) of

them. So, [tex]\( P(5, 3) = \frac{{5!}}{{(5-3)!}} \)[/tex].

Let's break down the calculation step by step:

Calculate ( 5! ):

[tex]\( 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \).[/tex]

Calculate [tex]\( (5-3)! = 2! \)[/tex]:

[tex]\( (5-3)! = 2! = 2 \times 1 = 2 \).[/tex]

Divide [tex]\( 5! \) by \( (5-3)! \)[/tex]:

[tex]\( \frac{{5!}}{{(5-3)!}} = \frac{{120}}{{2}} = 60 \).[/tex]

So, there are 60 different ways to arrange 3 out of 5 books on a shelf with the order mattering.

The correct answer is: c. 60

Complete Question:

In how many ways can you arrange 3 out of 5 books (A, B, C, D, and E) on a shelf, if the order of each arrangement matters (so ABC is different from CBA)?

a. 5

b. 120

c. 60

d. 10

34-16 = 18

 so 18 are unsharpened

ratio is 18/16 reduced to 9/8

Answer:

$2.84 is your answer

Let us use the following conversions:

1 cm = 10 mm

1 meter = 100 cm = 1000 mm

Given:

p = 800 mm

q = 200 cm = 2000 mm

r= 4 m = 4000

X = sum of the distance around each circle

X = p+q+r

X = 800+2000+4000

X = 6800 mm or 680 cm or 6.80 m

She will have £0.75 left over after the purchases.

First, we calculate the total amount of money Gwen has:

£5 (note) + £2 (coin) = £7

Next, we determine how many liter bottles of cola Gwen can buy:

Each bottle costs £1.25

Number of bottles she can buy = £7 ÷ £1.25

                                                    = 5 bottles

Now, we compute the total cost of 5 bottles:

5 bottles × £1.25/bottle

= £6.25

Finally, we find out how much money Gwen will have left over:

Total money - Total cost = £7 - £6.25

                                       = £0.75

Gwen will have £0.75 left over after buying as many liter bottles of cola as she can.

Follow below steps:

A patient is to take 4 1/4 tablespoons of medicine per day in 5 equally divided doses. How much medicine is to be taken in each dose?

Convert 4 1/4 tablespoons to a proper fraction, which is 17/4 tablespoons.

Divide 17/4 by 5 to find out how much medicine is to be taken in each dose. This equals 17/4 ÷ 5 = 17/4 × 1/5 = 17/20 tablespoons.

Backward compatible typically means that the new invention would be compatible with previous inventions. So in this case, the new processor is compatible with the older processors. This is intended so that programs made for older processors can be used on the new one without the need for further modification. 

Answer: True

Step-by-step explanation:

Answer:

35.65 feet.

Step-by-step explanation:

We have been given that the brown hose is 10.75 feet long, the green hose is 16.4 feet long, and the black hose is 8.5 feet long. We are asked to find the distance that one long hose can reach.

The length of one long hose will be equal to sum of distances of each hose.

[tex]\text{The length of one long hose}=10.75\text{ ft}+16.4\text{ ft}+8.5\text{ ft}[/tex]

[tex]\text{The length of one long hose}=35.65\text{ ft}[/tex]

Therefore, the one long hose can reach 35.65 feet.

To find the probability that the proportion of successes in a sample is between 0.18 and 0.23, we approximate the binomial distribution with a normal distribution and calculate the z-scores for the specified values using the distribution N(0.2, sqrt((0.2)(0.8)/200)).

To calculate the probability of the proportion of successes being between 0.18 and 0.23 for a population with a success probability of p = 0.20 and a sample size of n = 200, we use the sampling distribution of the sample proportion.

Firstly, to ensure the use of the normal approximation, we check the conditions: np = 40 and nq = 160, both greater than 5, allowing us to approximate the binomial distribution with a normal distribution where μ = p and σ = sqrt(pq/n).

For n = 200 and p = 0.20, the sampling distribution of the sample proportion p' is approximately N(0.2, sqrt((0.2)(0.8)/200)). Using this distribution, we can calculate the z-scores for 0.18 and 0.23 and then use standard normal distribution tables or software to find the probability that p' falls between these two values.

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Answer:

yoou move the decimal place 3 times to the left

Step-by-step explanation:

Answer:

Move 3 times to the left

Step-by-step explanation:

This question is a high school-level mathematics problem involving statistics and data interpretation related to video game scores and soccer game performance.

The question involves analyzing and interpreting different sets of data related to video game scores, hours played, and goals scored in soccer games. This requires an understanding of statistics and mathematical data interpretation techniques. Problems similar to these are often encountered in high school mathematics classes, especially those focusing on statistics and probability.

For example, when dealing with video game scores, a student may need to sumup  numbers, compare totals, or calculate averages. In the case of the hours of video games played, one may need to aggregate data and analyze distributions. With soccer goals per game, the student might have to compute means and assess performance across different groups. Furthermore, the mention of a 'communist model' of grading ties into mathematical concepts of averaging and distribution of data.

These types of problems help students appreciate the practical applications of mathematics in understanding and interpreting real-world scenarios such as video game scoring systems and sports team performance analysis.

Answer:

The answer is 4.2 feet

Step-by-step explanation:

Yes, the given curves are orthogonal. A further explanation is below.

Given equation is:

By differentiating both sides, we get

→ [tex]2x+2yy'=a[/tex]

→             [tex]y'=\frac{a-2x}{2y} = m_1[/tex]

again,

By differentiating both sides, we get

→ [tex]2x+2yy' =by'[/tex]

→             [tex]y' = \frac{-2x}{2y-b}[/tex]

For both curves are orthogonal, we get

→ [tex]m_1 \ m_2 = -1[/tex]

By substituting the values, we get

→ [tex]\frac{(a-2x)}{2y} \ \frac{(-2x)}{2y-b} = -1[/tex]

→ [tex]-2ax +4x^2=-4y^2+2yb[/tex]

→   [tex]4(x^2+y^2)=2ax+2yb[/tex]

Since,

then,

→ [tex]4(x^2+y^2) =2(x^2+y^2)+2(x^2+y^2)[/tex]

→  [tex]4x^2+4y^2=4x^2+4y^2[/tex] (true)

Thus the above response is appropriate.

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Answer:

-30, 6

Step-by-step explanation:

6x-5= =30

1x6=6