compute the correlation table for the numeric variables (function cor()). in addition, generate a matrix plot for these variables (function plot(data)). copy the code used and the results below. which pair of variables is most strongly correlated? how can we reduce the number of variables based on these correlations? how would the correlations change if we normalized the data first?

The probability that one person eats out, three people see a movie, two people have a party, and one person stays at home, out of seven randomly selected people, can be calculated by multiplying the individual probabilities together.

To calculate the probability, we multiply the probability of each event happening: P(eats out) * P(sees a movie)³ * P(has a party)² * P(stays at home).

Given that 34% of people go out to dinner (0.34), 18% see a movie (0.18), 13% have a party (0.13), and 35% stay home (0.35), we can substitute these values into the probability calculation.

P(one eats out, three see a movie, two have a party, and one stays at home) = 0.34 * (0.18)³ * (0.13)² * 0.35.

By evaluating this expression, we can find the probability that exactly one person eats out, three people see a movie, two people have a party, and one person stays at home out of the seven randomly selected people.

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Answer: It's the first one

Also could you mark my answer as brainliest? It helps and doesnt hurt

Answer:

The completed proportions are;

ED/A_F = CE/CA = CF/CD

Step-by-step explanation:

The given m∠CED = m∠A

∴ Angle ∠CDE = Angle ∠A_FC, (corresponding angles)

Angle ∠ECD = Angle ∠ACF (reflexive property)

Triangle ΔDCE is similar to triangle ΔACF (Angle Angle Angle (AAA) similarity)

In triangle ΔDCE and triangle ΔACF

m∠A is bounded by CA and A_F

m∠CED is bounded by CE and ED

∠DCE is bounded by CE and DE

∠C is bounded by CA and CF

Based on the orientation of the two triangles, we have

ED is the corresponding side to A_F, CD is the  corresponding side to CF, CE is the corresponding side to CA

Therefore, we have;

ED/A_F = CE/CA = CF/CD.

Step-by-step explanation:

This is a inverse. matrix because we have alternating

zeroes and the w symbol it looks similar to the matrix,

[ 1 0]

[ 0 1]

Except, we just replace 1 with q. So we also know that if we multiply a inverse like matrix by itself, a infinite number times, it going to stay the same.

However, since we have variables in place for 1, we would raise the matrix to an nth power.

Because remeber that a inverse matrix has 1, an that

\(1 {}^{n} = 1\)

So since we have a variable, we just raised it to the nth number.

We know that Zeroes raised to any power is 0, so w raised to the

^20226397596 is infact, w^20226397596, so our matrix is just

[w^20026397596 0]

[ 0 w^20026397596]

The value for \(A^{20226397596}\) is        \(\left[\begin{array}{cc}\omega^{20226397596}&0\\0&\omega^{20226397596}\end{array}\right] \).

Let be \(A\) a diagonal matrix. By linear algebra we know that the n-th power of diagonal matrix of the form \(\left[\begin{array}{cc}\omega&0\\0&\omega\end{array}\right] \) is equal to:

\(A^{n} = \left[\begin{array}{cc}\omega^{n}&0\\0&\omega^{n}\end{array}\right] \), \(\forall\, n \ge 1\), \(n\in \mathbb{N}\) \(\forall \,\omega \in \mathbb{R}\) (1)

Hence, we have the following result for \(A^{20226397596}\):

\(A^{20226397596} = \left[\begin{array}{cc}\omega^{20226397596}&0\\0&\omega^{20226397596}\end{array}\right] \)

The value for \(A^{20226397596}\) is        \(\left[\begin{array}{cc}\omega^{20226397596}&0\\0&\omega^{20226397596}\end{array}\right] \). \(\blacksquare\)

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An outlier is an observation in a set of data that lies a considerable distance from most of the observations. These data points are possible to impact the statistical analysis of the dataset. They can occur because of measurement errors, experimental errors, or data entry errors, etc.

Outliers are identified using a graphical or statistical method. They are often identified by creating a boxplot or histogram of the dataset. The outliers lie outside the whiskers on the box plot, whereas they are the data points far from the central tendency in a histogram. One of the main reasons for identifying outliers is to identify and remove the sources of variability that can lead to incorrect conclusions.

Another reason is to investigate and learn from the data points that are far from the average. Identifying outliers can help to improve the accuracy of the statistical models and provide a better understanding of the data. Thus, outliers should not be ignored, and a better approach to deal with outliers is to find the cause of their occurrence and then decide whether to exclude them from the dataset.

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Answer:

14%

Step-by-step explanation:

Using the formula for calculating Simple interest.

Simple interest = Principal × Rate × Time/100

Given Simple interest = $16.68

Principal = loan obtained = $580

Time (in years) = (75/365) year {we will convert days to year}

Rate (in %) = ?

On substituting to get the rate

16.68 = {580×R×(75/365})/100

16.68 = 580×R×75/365×100

16.68×36,500 = 580×R×75

608,820 = 43,500R

R = 608,820/43,500

R = 13.99℅

Rate ≈ 14%

The interest rate that was charged for the loan is approximately 14%

Answer:

Step-by-step explanation: To check if an exponential function is increasing or decreasing you have to look at the base and at a coefficient next to the exponent.

explanation: Let y=a⋅bx

be an exponential function.

It can be:

Increasing if (a>0 and b>1) or (a<0

and b∈(0;1)) Decreasing if: (\a>0 and b∈(0;1)) or (a<0 and b>1)

Answer:

16

Step-by-step explanation:

48 divided by 3 is 16, so each of his friends will get 16 cookies.

The vegetable patch has peppers and aubergines in a ratio of 5:3, with a total of 480 vegetables. Increasing the number of peppers by 10% changes the ratio to 11:5 for peppers to aubergines.

The ratio of peppers to aubergines in the vegetable patch is 5:3, and there are 480 vegetables in total. This means that there are 5/8 peppers and 3/8 aubergines. Increasing the number of peppers by

10% gives 5.5/8 peppers and 2.5/8 aubergines.

Simplifying this gives a new ratio of 11:5 for peppers to aubergines.

Therefore, the new ratio of peppers to aubergines in the vegetable patch is 11:5 in its simplest form.

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We can deduce from these findings that the actual population mean is variable probably lower and reject the null hypothesis that the population mean for body temperature is 98.6o.

In the context of a mathematical idea or experiment, a variable is something that can be altered. Frequently, a single symbol is used to symbolize a variable. Variables are frequently represented by the letters x, y, and z as abstract symbols.

The first thing I want to say is that it is a widespread misconception that the average body temperature is 98.6 degrees. Although the "normal" or average body temperature is frequently stated as 98.6 degrees Fahrenheit (or 37 degrees Celsius), this value is not true for everyone. The average body temperature may actually be lower than previously thought, hovering around 97.5–97.7 degrees Fahrenheit, according to study.

Here is the SPSS output for the one-sample t-test so that we can get back to the job at hand:

Descriptive Statistics

N       Mean      Std. Deviation   Std. Error Mean

25      97.528    0.694            0.139

One-Sample Test

Test Value = 98.6

t         df        Sig. (2-tailed)   Mean Difference

-5.238    24        .000              -1.072

We can deduce from these findings that the actual population mean is probably lower and reject the null hypothesis that the population mean for body temperature is 98.6o.

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You can find factorials by simply taking the whole numbers and multiplying each of the numbers that are less than and equal to the given number upto the number 1.

In case of a sequence of multiplication operations, you can multiply the numbers by taking the first two numbers and multiplying the result with the third one and carrying on with the sequence.

Finally, you can calculate the logarithms by using the method called logarithmic log divisions.

The product of a whole number n with each subsequent whole number that is less than or equal to n up to 1 is known as its factorial. *As an illustration, the factorial of 4 is 4* 3 *2 *1, which is 24. It is symbolized by the letter "!"

A logarithm is a mathematical formula that calculates how many times the base, or initial number, must be multiplied by itself to get the target number. Examples of geometric progressions that are related to arithmetic progressions in nature and art include the spacing between guitar frets, the hardness of minerals, the intensity of sounds, stars, windstorms, earthquakes, and acids. Even the way that humans naturally think about numbers is described by logarithms.

To find the factorials of a number let us take an example of number 5, as per the definition of the factorial we first take all the whole numbers less than the number 5 till the number 1, which would be 5,4,3,2,1 and multiply them to get the factorial , i.e 5*4*3*2*1 = 120

Similarly to multiply a sequence of numbers, we can take first two number , calculate their multiplication and multiply the outcome with the third and continue the same with the sequence, for eg, 55*62*63*2 ,

first let us take 55*62 which is 3410

now multiply 3410 by 63 , i.e 3410 * 63 = 214830

and finally calculate , 214830 *2= 429660

And, To find  the logarithms, you can use a technique called logarithmic long divisions which involve following steps:

Write the logarithm as: log(N) = x

Rewrite the logarithm as: 10^x = N

Rewrite the equation as: N = 10^x

Write the number N as a product of prime factors.

Rewrite the equation as: (2^a)(5^b)(p^c) = 10^x, where p is any prime other than 2 or 5

Find the largest power of 10 that is less than or equal to the number N. This is the power of 10 that will be in the final answer.

Divide the power of 10 found in step 6 into the number N. The result will be a quotient and a remainder.

If the remainder is not equal to 0, divide the remainder by the next highest power of 10 and repeat the process until the remainder is equal to 0.

The final result will be the sum of the powers of 2, 5, and any other prime factor that was divided out in the process.

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Answer:

with the Math & Trig function

Step-by-step explanation:

Answer:

= 2×22/7×12(12+25)

= 44/7 ×12×37

=2790.85cm²

=2 ×22/7×12×25

=13200/7

=1885.71cm²

Answer: 1168.6725 cm²

Step-by-step explanation:

Circumference = 37.69911184 cm² (12π)

37.69911184 × 25 = 942.4777961

SA of cylinder body = 942.4777961

SA of cylinder head = 226.1946711

∴ The Answer is 1168.6725 cm²

You can also round it to two decimal places which = 1168.67 cm²

Answer:

the answer is -1

Step-by-step explanation:

Answer:

1 and 3 are true

Step-by-step explanation:

The data were collected using random assignment since the 60 golfers were randomly assigned to treatment groups, so statement 1 is true. It was not indicated that the 60 golfers in the sample were randomly selected, so statement 2 is not true. The distribution will be approximately normal since each group size is large enough, so statement 3 is true.

The data were collected using random assignment since golfers were randomly assigned to treatment groups, so option 1 is true.

Random sampling is the method of selecting the subset from the set to make a statical inference.

An experiment was conducted to determine whether the price of a golf club affected the distance a golfer could hit a golf ball.

A sample of 60 golfers was randomly assigned to one of two groups.

Cor E The 30 golfers in the group were given a club and told the price of the club was cheap the 30 golfers in group E were given the same club told the price of the club was an expensive reality there was no difference in price.

The golfers used their assigned clubs to hit a golf ball as far as they could The distance, in yards, that each golfer hit the golf ball was recorded.

The data were collected using random assignment since golfers were randomly assigned to treatment groups, so option 1 is true.

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Answer:

y= -2/3x + 8/3

do you really want a explanation?

Answer:  \(\frac{19}{6} : \frac{17}{6}\)

Step-by-step explanation:

Let us first represent the ratio.

3\(\frac{1}{6} : \frac{17}{6}\)

Now we need to convert 3\(\frac{1}{6}\) into a improper fraction.

\(\frac{19}{6} : \frac{17}{6}\)

Now it is in its simplest form.

The final answer is  \(\frac{19}{6} : \frac{17}{6}\)

Answer:

the answer is b or the second blank

Step-by-step explanation:

Answer:

f(x) = 8 + x

f(5) = 8 + 5

[What I just did there: I replaced x with 5]

f(5) = 13!

Answer: sorry took look long F(5)= 13

Step-by-step explanation:

Answer:

x:b116.67

Step-by-step explanation:

120/100

140×100/120

Answer:

57 coins are not nickels.

Equation: n + 57 = 70

Step-by-step explanation:

To find how many coins are not nickels, just add up the pennies, dimes, and quarters all together:

26 + 12 + 19 = 57 coins are not nickels.

The equation you could use to find n (nickels) would be:

n + 57 = 70

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Why do we include 40 if it says less than?

Good question.

We include 40 because it technically counts as representing itself or anything within the range of 20 and 40

Answer:

bvro how

Step-by-step explanation:

kk

Step-by-step explanation:

\( \frac{3 {b}^{2} \times 12 {p}^{7} {b}^{19} }{2} = \frac{3 {b}^{21} \times 12 {p}^{7} }{2} = \\ = 3 {b}^{21} \times 6{p}^{7} = \\ = 18 {b}^{21} \times {p}^{7} \)

answer: -6a square +2a

Step-by-step explanation:

2(-3a² + a)

=-6a square +2a

Answer:

A.the quotient contains a repeating decimal