Which table of ordered pairs represents a proportional relationship?
Х
-3
-4
-5
y
3
2
1
0
Х
-1
-3
-5
y
1
3
5
х
-2.
4
-6
y
-5
-7
-9
ở
х
-2
-3
-4
-1
-2

Answer:

third

Step-by-step explanation:

Answer:

11 and 12

Step-by-step explanation:

the square root of 125 is 11.18

Answer:

141

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

Find the third angle in the triangle and using the rule that all supplementarly angles are 180 degrees, subtract the third angle from 180.

180-87-54=39, 39 is the third angle of the triangle

180-39=141 degrees, x= 141

Answer:

True

Step-by-step explanation:

6 divided by 1/2 is the same as multiplying by two

Answer:

True

Step-by-step explanation:

6 divided by 1/2 = 12

You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12

The average height of professional basketball players in the sample is 6 feet, 5 inches, and we have a high level of confidence (95%) that the true population mean height falls within a range of 6 feet, 5 inches ± 0.4 inches.

The given information states that a random sample of 25 professional basketball players has a mean height of 6 feet, 5 inches with a 95% confidence interval of 0.4 inches.

The mean height of 6 feet, 5 inches represents the average height of the basketball players in the sample. This indicates that, on average, the players in the sample have a height of 6 feet, 5 inches.

The confidence interval of 0.4 inches indicates the margin of error associated with the sample mean. In this case, the confidence interval of 0.4 inches means that we are 95% confident that the true population mean height falls within a range of 6 feet, 5 inches ± 0.4 inches. This means that if we were to repeat the sampling process multiple times and calculate the confidence interval each time, 95% of the intervals would capture the true population mean height.

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Answer:

  B.  (x, y) ⇒ (x, -y)

Step-by-step explanation:

When a point is reflected over the x-axis, it is moved along a vertical line to the same distance on the other side of the x-axis.

The x-coordinate of a point identifies its distance from the y-axis--the vertical line it is on. The y-coordinate identifies its distance from the x-axis. Changing the sign of the y-coordinate moves the point to the same distance on the other side of the x-axis--reflecting it over the x-axis.

__

The given points ABC and A'B'C' all match the pattern ...

  (x, y) ⇒ (x, -y)

  A(-1, 7) ⇒ A'(-1, -7)

  B(6, 5) ⇒ B'(6, -5)

  C(-2, 2) ⇒ C'(-2, -2)

so the image points represent a reflection over the x-axis of the original points.

Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.

Therefore,

\(x^(3+5) = x^8\)

Now,

\(x^(3+5) = x^8\)

is of the form:

\(x^b = x^p\)

When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,

p = 8

There we have it. The value of p is 8. The full solution is shown below:

\(x^3 × x^5 \\= x^px^8\\ = x^p\)

We can see that the base of the exponential expression on either side is equal.

Therefore, the power of the base must be equal as well. In other words

,p = 8.

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Answer:

Step-by-step explanation:

x > -7

Open circle means the solution does not include -7 and it is more than -7

Answer:

Value of account after t years is
\(A = \boxed{190( 1.0178)^{4t}}\)

Percentage of growth per year

CAGR = \(\boxed{7.31\%}\)

Step-by-step explanation:

The generalized equation for the accrued value of an amount P(the principal) deposited at i% annual interest compounded n times a year for t years is

\(A = P\left(1 + \dfrac{r}{n}\right)^{nt}\)

where r = i/100, the interest rate expressed as a decimal

Given P = $190
i = 7.1% ==> r = 7.1/100 = 0.071

Since the interest is compounded quarterly and there are 4 quarters in a year, the interest is compounded 4 times a year so n = 4

\(A = 190 \left(1 + \dfrac{0.071}{4}\right)^{4t}\)

\(A = 190\left(1 + 0.01775\right)^{4t}}\\\\A = 190( 1.01775)^{4t}\)\

Rounding the annual growth rate to 4 decimal places gives

\(A = P(1.0178)^{4t}\)

In one year, the investment of $190 will grow to
\(A = 190(1.0178)^{4}\)

\(A = $203.89\)

Compound Annual Growth = = 203.89 - 190 = $13.89

Compound Annual Growth Rage(CAGR) = $13.89/$190 = 0.073105

As a percentage, CAGR Percent = 0.073105 x 100 = 7.3105% or rounded to nearest hundredth it would be 7.31%

Answer: A

Step-by-step explanation:

In a cylinder A=2πrh+2πr^2.  Plugging in the values of the problem gives you about 489.8

Answer:

2 is the y intercept

1/5 is the slope

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

32 and 0 are 32 units apart

\(\large \mathfrak{Solution : }\)

The incorrect one is 35 × 10⁵

it can be written as :

The apothecary system uses the minim as the basic unit of liquid measure and the grain as the basic unit of solid measure.

What is apothecary measurement?

What are the units of the apothecary system?

The grain, scruple (20 grains), dram (3 scruples), ounce (8 drams), and pound—a ancient scale of weight used in the British Isles for measuring and distributing pharmacological goods (12 ounces).

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Answer:

Step-by-step explanation:

From the figure attached,

Given: ∠P ≅ ∠S

          TQ ≅ RQ

To Prove : ΔQRS ≅ ΔQTP

        Statements                          Reasons

1).     ∠P ≅ ∠S, TQ ≅ RQ                  Given

2).    ∠RQS ≅ ∠TQP                  Reflexive property

3).     ΔQRS ≅ ΔQTP                           AAS

Answer:

If 6 machines make 6 wheels in 6 minutes, that means each of the machines must make 1  wheel in 6 minutes.  If you now consider 30 machines, and we know each of these 30 machines makes 1 wheel in  6 minutes, that means all 30 machines will make 30 wheels in 6 minutes.

Step-by-step explanation:

The range is 4.5, and it means that the data varies by a value of 4.5.

What is the data set?

A data set is an ordered collection of data. As we know, a collection of information obtained through observations, measurements, study, or analysis is referred to as data. It could include information such as facts, numbers, figures, names, or even basic descriptions of objects.

The range is the difference between the largest and smallest values in a data set.

In this case, the largest value is 8 and the smallest value is 3.5, so the range is 8 - 3.5 = 4.5.

This means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.

Hence, The range is 4.5, and it means that the data varies by a value of 4.5.

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The correct option is D.

The variance is based on the deviation about the mean.

The variance is a measure of how spread out a set of data is from its mean value. It measures the average of the squared differences between each data point and the mean of the set.

The formula for variance is given by:

Var(X) = (1/n) * Σ(xᵢ - μ)²

where X is the set of data, n is the number of data points in X, Σ represents the sum of the values from i=1 to n, xᵢ is the i-th data point, and μ is the mean of X.

In the formula, we can see that the deviation from the mean is squared for each data point before taking the average, which means that larger deviations will contribute more to the overall variance.

The variance provides a measure of how much variability there is in the data set relative to the mean, and is often used as a measure of dispersion.

Therefore, the correct option is d.

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Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

Answer:

x = 6.2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 32 = x/ 10

10 tan 32 = x

x=6.24869

Rounding to the nearest tenth

x = 6.2

Answer:

x=6.2 (Rounded to the nearest tenth)

Step-by-step explanation:

This problem gives you an angle(32°), and ask for the dimension of the opposite side to that angle(x), along with another dimension the adjacent side(10).

Since you have the opposite and adjacent sides, you can use tangent. opposite (x) over adjacent (10). Tan(32) =\(\frac{x}{10}\). You want (x) so multiply tan(32) by 10. Then round to the nearest tenth.

Remember to put calculator in degree mode!

tan (32) = 0.6248693519 multiply by ten 6.248693519. Round to nearest 10th 6.2.

Hope this helps!

The domains of both f(x) and g(x) must be (–∞, ∞).

We have given that,

The function h(x) shown is the result of adding two functions, f(x) and g(x).

We have to determine

The statement could be used to describe the functions.

What is the function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The domain of the function is the set of point at which function is defined.

Therefore, The domains of both f(x) and g(x) must be (–∞, ∞).

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The two come separately, and the p(wed.) value for each one is 0.0841. It is founded on likelihood on probability.

Probability is a way to gauge how likely something is to happen. Many things are hard to predict with complete certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur.

The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. Probability of an event P(E) = (Number of favourable outcomes) is how it is stated (Sample space).

based on the facts provided;

p(0) = p(w,w)

= 0.29² = 0.0841

p(1) = p(t, w+t) + p(w, t)

= 2p(w,t) +p(t,t) = 2·.29·.37 + .37² = 0.3515

p(2) = p(f, w+t+f) +p(w+t, f)

= 0.16(2(.29+.37)+.16) = 0.2368

p(3) = p(s, w+t+f+s) +p(w+t+f, s)

= 0.18(2(.29+.37+.16) +.18) = 0.3276

In summary, your pmf is ...

y : p(y)

0 : 0.0841

1 : 0.3515

2 : 0.2368

3 : 0.3276

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Answer:

23.5

Step-by-step explanation:

Point E is in between line D & F.

It is given that line segment DE = 14.1, and line segment EF = 9.4.

Combine the two numbers to get DF:

DF = DE + EF

DF = 14.1 + 9.4

DF = 23.5

23.5 is your answer.

~

Step-by-step explanation:

Given

Divide by the following:

(a) 3x² + 2x + 1

Quotient = 2x, remainder = -3x + 5

(b) x³ - 3x + 2

Quotient  = 6, remainder  = 4x² + 22x - 7

(c) 6x² + x - 2

Quotient  = x, remainder = 3x² + x + 5

To write a division expression from a fraction, identify the numerator, which is the dividend, while the denominator is the divisor.

A division expression is an algebraic expression using the division operand (÷).

Algebraic expressions involve the combination of numbers, constants, values, and variables with mathematical operands.

The result of a division operation, which is one of the four basic mathematical operations, is known as the quotient.

Thus, we can conclude that the dividend is related to the numerator of the fraction just as the divisor is related to the denominator of the fraction.

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Answer:

Slope = -3/4

Y-intercept = (0, 3)

Step-by-step explanation:

Rise/Run

-3 Rise and 4 Run

Meets y-axis at y=3. x=0, so (0, 3).

Answer:

y intercept is 3 and the slope is -3/4

Step-by-step explanation:

the line hits the y axis at point 3, and the slope is the rise over run so it is down three and right 4 so -3/4

Answer:

72000

Step-by-step explanation:

Multiply 120,000 by 0.6 OR multiply 120,000 by 0.4 and subtract 120,000 by the product.

Both equal 72,000

Hope this helps my fellow mike winsowski memer

-Scorpio

The first step, for the data analyst, includes reaching out to the stakeholders of the existing survey, who are the client, the correct option is therefore;

Data analysis is the application of logic or statistical tools for the description, recap and or condensation, or evaluation of data.

Part of the question, obtained from a similar question online, includes;

A data analyst for an analytic company that is in a meeting with one of their new client, focused on the kick off of a project. The meeting agenda are discussions on the available data, a review of the the company's goal for the year, and feedback on present questions.

A review of the survey feedback of the new client and based on his research, the analyst learned that the requirement for the confidence level for the survey is 120 unique responses. However, the number of responses in the attached survey are only 40, including a responder that completed the survey 11 times.

The first step of the analyst is therefore; To talk to the stakeholders, during the meeting with the new client, to explain the new timeline based on the observations on the available data, and obtain approval to meet the required objectives.

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The solution to the expression is x= 18

15 over x=2 equals 3 over 4 can be written as follows

15/x+2 = 3/4

Cross multiply both sides

15×4= 3(x+2)

60= 3x +6

collect the like terms

3x= 60-6

3x= 54

divide both sides by the coefficient of x which is 3

3x/3 = 54/3

x= 18

Hence the value of x in the expression is 18

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The function f(x) = 3x^2 - x + 7 has a minimum value of 83/12, and this value occurs at x = 1/6.

The function f(x) = 3x^2 - x + 7 is a quadratic function with a positive leading coefficient (3). Therefore, it has a minimum value. To find this minimum value, we can use the vertex formula for a quadratic function:

x = -b / (2a)

where a = 3 and b = -1.

x = -(-1) / (2 * 3)
x = 1 / 6

Now, we can find the minimum value by plugging x = 1/6 into the function:

f(1/6) = 3(1/6)^2 - (1/6) + 7
f(1/6) = 3(1/36) - (1/6) + 7
f(1/6) = 1/12 - 1/6 + 7
f(1/6) = 1/12 - 2/12 + 84/12
f(1/6) = 83/12

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