round 0.865 to the nearest tenth

When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.

For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.

Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.

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The experimental probability of spinning blue is 1/4 or 0.25.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

The frequency of blue from the second set of spins is 17, out of a total of 60 spins.

Therefore, the experimental probability of spinning blue is -

Experimental probability of spinning blue = frequency of blue / total number of spins

= 17 / 60

Simplifying this fraction by dividing the numerator and denominator by their greatest common factor (GCF) of 17, we get -

Experimental probability of spinning blue = 17 / 60 = (1 / 4)

Therefore, the probability value is obtained as 1/4 or 0.25.

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The confidence interval for the mean level of carbon dioxide present in the facility is (806.05,828.91) and the critical value is 2.77 which is used to find out the confidence interval.

Given measurement of carbon dioxide :828.1,812.1,805.9,810,831.3

We have to construct a confidence interval for 95% for the mean level of carbon dioxide present in the facility.

n=5

sample mean=817.48 (calculated in figure)

sample standard deviation=\(\sqrt{(x_ -x_{bar} )^{2} /n-1 }\)

=\(\sqrt{522.768/4}\)

=11.43

We have to apply t test as n<30

t critical at 95% with degree of freedom=4              (5-1)

=2.77

Confidence interval=X bar ±standard error

Standard error= t*s/\(\sqrt{n}\)

=2.77*11.43/\(\sqrt{5}\)

=14.13

Lower boundary=817.48-11.43

=806.05

Upper boundary=817.48+11.43

=828.91

Hence the confidence interval is (806.05,828.91).

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Answer:

yes yes

Step-by-step explanation:

Answer:  6 & 1/2

This is a mixed number with 6 as the whole part and 1/2 as the fractional part.

Your teacher may want you to enter the answer without the ampersand symbol. If that's the case, then you would type in 6 1/2.

=============================================================

Work Shown:

1/4 = 0.25

3 & 1/4 = 3 + 1/4 = 3 + 0.25 = 3.25

1/2 = 0.5

He runs 3.25 miles in 0.5 of an hour

d = distance = 3.25 miles

t = time = 0.5 hour

r = unknown rate or speed in miles per hour (mph)

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

distance = rate*time

d = r*t

3.25 = r*0.5

3.25 = 0.5r

0.5r = 3.25

r = 3.25/0.5 .......... divide both sides by 0.5

r = 6.5

r = 6 + 0.5

r = 6 + 1/2

r = 6 & 1/2

His rate is 6 & 1/2 mph

$16,200

1) Coletando los datos

Valor presente: 5,000

rate: 9%

Tiempo: 36 meses

2) Escribindo la formula y despues aplicando los datos, tienemos:

Mira que subtraemos de lo Valor Futuro, el Principal. A -P = i

3) Entonces el interés simple és $16,200

Based on the expenses you listed, here is the completed budget:

Income (pocket money)

Estimated total income: R400,00

Expenses

Taxi: R100,00

Movies: R30,00

Sweets: R9,75

Clothes: R45,00

Donations: R50,00

Stationery: R65,00

Estimated total expenses: R300,75

Net Income

Estimated net income: R99,25

Savings

Starting savings: R372,00

Actual amount saved: R99,25

New total savings: R471,25

Difference

There is no difference as the estimated and actual amounts match.

According to this budget, you have R99,25 left over after expenses, which means you can save that amount.

In fact, with the R372,00 you already saved, your new total savings will be R471,25.

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Answer: 20

Step-by-step explanation:

15 divided by 3 equals 5 and 15 plus 5 equals 20.

Answer:

Yes, because they are similar triangles

Step-by-step explanation:

The triangles are similar by SAS Similarity.

Answer: Yes, because they are similar triangles

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\(g(x) = 4x + 8\)

\(g(8) = 4(8) + 8\)

\(g(8) = 32 + 8\)

\(g(8) = 40\)

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Answer:

8.8.

Step-by-step explanation:

There are 5 values so:

mean = (3+5+10+11+15)/ 5

= 44/5

= 8.8.

Answer:

The answer would be

22 Rs

44 Rs

110 Rs

Step-by-step explanation:

5 litres : 55 Rs

2 litres : y1

y1=2*55/5=22 Rs

4liters : y2

y2=4*55/5=44 Rs

10 litres : y3

y3=10*55/5 =110Rs

Answer

Explanation

Given:

To determine whether the relation defines y as a function of x, we get the domain first.

Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.

Hence, the interval notation is:

We can use vertical line test to determine if it is a function as shown in the graph below:

As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:

Function; domain

The determinant of nxn matrix A  2’s on the diagonal, 1’s above the diagonal, and 0’s below the diagonal is 2^n.

From the given information, the matrix will appear as follows

\(A= \left[\begin{array}{ccccc}2&1&......&1 &1\\0&2&......&1 &1\\0&0&2 ......&1 &1\\0&0&0 ......&2 &1\\0&0&0 ......&2 &1\\0&0&0 ......&0 &2\end{array}\right]\)

The matrix is nxn, there are n rows and n columns. As we can see, this matrix has an upper diagonal, and in terms of linear algebra, its determinant is the sum of all its principal diagonal members. As a result, the matrix's determinant is: 2^n

Therefore, the determinant of a n x n matrix A with 2’s on the diagonal, 1’s above the diagonal, and 0’s below the diagonal is 2^n.

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Answer: So after solving and simplifying terms equation is\(x^4+10x^3-47x^2-360x+1296\)

Step-by-step explanation: Given we have two equations f(x) =\(x^{2} +4x-32\) and g(x) = \(x-4\)

we have been asked to find ( f +g)(x) that is f(x)+g(x)

So first we add them \(x^{2} +4x-32 + x-4\)

So we have an equation that is: \(x^{2} +5x-36\)

Then we need to multiply both

\((x^2+5x-36)(x^2+5x-36)\)

So we get\(\left(x^2+5x-36\right)^2\)

Distribute parentheses

\(x^2x^2+x^2\cdot \:5x+x^2\left(-36\right)+5xx^2+5x\cdot \:5x+5x\left(-36\right)-36x^2-36\cdot \:5x-36\left(-36\right)\)

On simplifying

\(x^4+10x^3-47x^2-360x+1296\)

So standard form of result is \(x^4+10x^3-47x^2-360x+1296\) .

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The function "fig" is not defined in the given information, without its definition, we cannot determine the domain of the function for the given expressions: f(x) = x + 99 & g(x) = x²

(a) (r + g)(x) = r(x) + g(x) = (x - 8) + (x² - 8) = x² + x - 16

(b) (-9)(x) - 8 = - 9x - 8

(c) (f)(x) = f(x) = x + 99(x) = x²(f/g)(x) = f(x) / g(x) = (x + 9) / x

The domain of the given figure is not given, hence we can not find the domain of fig.

f(x) = x + 99

The function f(x) is defined as the sum of x and 99.

g(x) = x²

The function g(x) is defined as the square of x.

(a) (r+g)(x) = ?

The expression (r+g)(x) represents the sum of two functions, r(x) and g(x).

However, the specific definitions of r(x) and the value of x are not provided.

Therefore, we cannot determine the result without more information.

(b) (-9)(x) - ?

The expression (-9)(x) represents the product of -9 and x.

However, a specific value for x is not given, so we cannot compute the result without more information.

(c) (f)(x) = (a)

The expression (f)(x) represents the function f(x).

Since f(x) is defined as x + 99, we have (f)(x) = x + 99.

The result (a) is the same as the function itself, which is x + 99.

(d) (f/g)(x) = ?

The expression (f/g)(x) represents the quotient of two functions, f(x) and g(x).

Therefore, we need to divide f(x) by g(x), which gives us:

(f/g)(x) = (x + 99) / (x²)

(e)The domain of fig:

The function "fig" is not defined in the given information. Without its definition, we cannot determine the domain of the function.

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Answer:

the answer is d

Step-by-step explanation:

hopefully this helps :)

The probability that the sample proportion will differ from the population proportion by more than 0.03 is 0.9476

To determine the probability

The given parameters are:

True proportion and the mean (p) = 0.06

The samples size (n) = 235

Start by calculating the standard deviation using

\(\sigma = \sqrt{\frac{p(1-p)}{n} }\)

This gives

\(\sigma = \sqrt{\frac{0.06\;*\;(1-0.06)}{235} }\)

\(\sigma = \sqrt{\frac{0.06\;*\;(0.94)}{235} }\)

\(\sigma = \sqrt{\frac{0.0564}{235} }\)

\(\sigma = \sqrt{0.00024 }\)

\(\sigma = 0.01549\)

Next, we calculate the x values

\(x = x_{1} \pm x_{2}\)

where x₁ = 0.06 and x₂ = 0.03

x = x₁ + x₂ , x₁ - x₂

x = 0.06 + 0.03, 0.06 - 0.03

x = 0.09, 0.03

Calculate the z score for both x values

\(z = \frac{x\; - \; \mu}{\sigma}\)

\(z = \frac{0.09\; - \; 0.06}{0.01549}, \frac{0.03\; - \; 0.06}{0.01549}\)

\(z = \frac{0.03}{0.01549}, \frac{-0.03}{0.01549}\)

\(z = 1.94, -1.94\)

The p values at the z scores are:

p = 0.9738, 0.0262

Note: refer to z tables to find the p values

Calculate the difference

p = 0.9738 - 0.0262

p = 0.9476

Hence, the probability that the sample proportion will differ from the population proportion by less than 0.03 is 0.9476

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\(\\ \rm\longmapsto f(x)=40(0.6)^x\)

Now

\(\\ \rm\longmapsto f(4)\)

\(\\ \rm\longmapsto 40(0.6)^4\)

\(\\ \rm\longmapsto 40(1.3)\)

\(\\ \rm\longmapsto 5.2ft\)

Option A

Answer:

5.2 ft (nearest tenth)

Step-by-step explanation:

Given function:  \(f(x)=40(0.6)^x\)

where:

To determine the height of the 4th bounce, substitute \(x=4\) into the function:

\(\implies f(4)=40(0.6)^4\)

              \(=40 \cdot 0.1296\)

              \(=5.184\)

              \(=5.2 \textsf{ ft (nearest tenth)}\)

The primary code we use to signal identity, according to Remland, is nonverbal communication.

Nonverbal communication refers to the transmission of messages without the use of words. It involves various forms of communication such as facial expressions, body language, gestures, posture, eye contact, and tone of voice. Remland, a researcher in the field of communication, emphasizes the significance of nonverbal cues in signaling identity.

Nonverbal cues play a crucial role in expressing our cultural, social, and personal identities. They can convey information about our emotions, attitudes, status, and affiliations. For example, the way we dress, our choice of accessories, and our body language can communicate aspects of our identity such as our gender, social group, or profession.

Nonverbal communication is particularly powerful because it often operates at an unconscious level and can convey messages that are difficult to express through words alone. These nonverbal signals can shape impressions, establish connections, and influence how others perceive and respond to us.

According to Remland, nonverbal communication is the primary code we use to signal identity. Understanding and interpreting nonverbal cues are essential for effective communication and for navigating social interactions, as they provide valuable insights into the identities and intentions of individuals.

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Answer:

36

Step-by-step explanation:

A dentist bought 9 bags of prizes for his patients.

Each of the bags has 12 prizes

The first step is to calculate the total number of prizes

= 9 × 12

= 108 prizes

Since the prizes will be shared equally in 3 boxes then the number of prizes in each box can be calculated as follows

= 108/3

= 36

Hence the number of prizes in each of the 3 boxes is 36

Answer: P(rolling a sum of 4 or rolling a sum of 5)

Step-by-step explanation: edge2023

The scenario that uses the addition rule for mutually exclusive events is:

p(rolling a sum of 4 or rolling a sum of 5) = p(rolling a sum of 4) + p(rolling a sum of 5)

This is because the events "rolling a sum of 4" and "rolling a sum of 5" are mutually exclusive, meaning that they cannot occur at the same time. Therefore, the probability of either event occurring is the sum of their individual probabilities.

The probability of rolling a sum of 4 is 3/36, and the probability of rolling a sum of 5 is 4/36. The addition rule states that the probability of rolling a sum of 4 or 5 is the sum of their individual probabilities: 3/36 + 4/36 = 7/36

The other scenarios do not use the addition rule for mutually exclusive events:

p(rolling a sum of 4) is a single event and does not involve a second event.

p(rolling a sum of 12 or rolling a double 6) although the two events are mutually exclusive, it's not the sum of their individual probabilities.

p(rolling a sum of 11 and rolling a sum of 12) these events are not mutually exclusive, they can happen at the same time, so it's not the sum of their individual probabilities.

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Answer: how do you do the question what the

Step-by-step explanation:

Consequently, the room has a 7 meter width. The room's length is

\(= 7 * 3 meters = 21 meters\)

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

Given that the length of the rectangular space is three times its breadth

The chamber has a 56-meter perimeter.

Assume that the room's width is x.

As a result, the room is three times as long.

The room's perimeter is now equal to 2(3x + x).

\(Here, 2(3x + x) = 56\\ 2 * 4x = 56\\ 8x = 56\\ x = 7.\)

Consequently, the room has a 7 meter width.

The room's length is

\(= 7 * 3 meters\\= 21 meters\)

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Answer:false

Step-by-step explanation:

Answer:

Step-by-step explanation:

-21x - 8y = 0

Answer: C. 119.7°

Step-by-step explanation:

edge2020

Answer:

C

Step-by-step explanation:

Edge 2021

Hence, the margin of error for this 95% confidence interval of a population proportion is 5.4%.

The margin of error for a confidence interval is the distance between the sample statistic (in this case, the sample proportion) and the confidence interval limits. To find the margin of error, we can use the formula:

Margin of error = (upper limit - lower limit) / 2

In this case, the lower limit of the 95% confidence interval is 64.5% and the upper limit is 75.3%. So the margin of error is:

Margin of error = (75.3% - 64.5%) / 2

Margin of error = 10.8% / 2

Margin of error = 5.4%

Therefore, the margin of error for this 95% confidence interval of a population proportion is 5.4%.

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Answer:

2+2=4

Step-by-step explanation:

v(t)=vt p=¥€

Answer:

the answer is

Step-by-step explanation:

5%
A

Answer: 1

Step-by-step explanation:

Substitute 3 into N: 3^2 - 5*3 + 7

                                   = 9 - 15 + 7

                                     = -6 + 7

                                     = 1