What's going to happen to the variables?
6(x + 3) = 6x + 18
6x + 18 = 6x + 18

The variable x has a value of 3 in the triangle

The given parameter represents the triangle(s) in the figure

In the triangle, we can see that:

The above means that:

The sides of the triangle are in equivalent ratio

This is represented as

4 : 5x - 4 = 4 : 3x + 2

This also means that

5x - 4 = 3x + 2

Collect the like terms

5x - 3x = 4 + 2

Evaluae

2x = 6

Divide

x = 3

Hence, the value of x is 3

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It is important to consider the scale of measurement and the specific characteristics of the variables when selecting an appropriate statistical test.The tests can be classified as follows:

1. A researcher measures the proportion of schizophrenic patients born in each season.

This test is nonparametric. The scale of measurement is categorical, as the seasons (spring, summer, fall, winter) represent distinct categories rather than continuous numerical values. Therefore, parametric assumptions, such as normality and equal variances, do not apply to this measurement.

2. A researcher measures the average age that schizophrenia is diagnosed among male and female patients.

This test is parametric. The scale of measurement is continuous and numerical (age in years). Parametric tests, such as t-tests or ANOVA, can be applied when working with continuous data, assuming the data meet the required assumptions (e.g., normality, independence, and equal variances).

3. A researcher tests whether frequency of Internet use and social interaction are independent.

This test can be both parametric or nonparametric, depending on the measurement scale and the specific statistical test used. If the variables are measured on a nominal or ordinal scale, nonparametric tests, such as the chi-square test, would be appropriate. If the variables are measured on a continuous scale, parametric tests, such as logistic regression, could be employed.

4. A researcher measures the amount of time (in seconds) that a group of teenagers uses the Internet for school-related and non-school-related purposes.

This test is parametric. The scale of measurement is continuous (time in seconds), and parametric tests, such as t-tests or ANOVA, can be utilized to compare means or variances, assuming the required assumptions are met.

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Answer:

A, C, D

Step-by-step explanation:

Since 15 is a positive integer, it can be represented in positive situations.

15 students add classes to schedule. = 15

15 points are taken away. = -15

15 point are given. = 15

15 dollars has been added to your salary = 15

15 dollars have been taken from your salary = -15

Answer:

a,b,c

Step-by-step explanation:

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Answer:

18

Step-by-step explanation:

Bisecting a line means to cut it at the middle.

Meaning we can set 3x = 27.

x=9

2x=18

Brainliest Please

The doubling period of the bacteria culture can be found using the formula for exponential growth:

Doubling Period = (Time * ln(2)) / ln(P2/P1)

where Time is the duration, P1 is the initial population, and P2 is the final population.

In this case, Time = 40 minutes, P1 = 400, and P2 = 1000. Plugging these values into the formula, we get:

Doubling Period = (40 * ln(2)) / ln(1000/400) ≈ 24.26 minutes (rounded to two decimal places).

To find the population after 70 minutes, we can use the formula for exponential growth:

Population = P1 * \(2^(^T^i^m^e^ /^ D^o^u^b^l^i^n^g^ P^e^r^i^o^d^)\)

Plugging in the values, we have P1 = 400, Time = 70 minutes, and Doubling Period ≈ 24.26 minutes. Thus,

Population = 400 * 2^(70 / 24.26) ≈ 1748 (rounded to a whole number).

To determine when the population will reach 12000, we can rearrange the exponential growth formula:

Time = Doubling Period * ln(P2/P1) / ln(2)

Plugging in P1 = 400, P2 = 12000, and Doubling Period ≈ 24.26 minutes, we can calculate the Time:

Time = 24.26 * ln(12000/400) / ln(2) ≈ 99.2 minutes (rounded to one decimal place).

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Answer:

b

Step-by-step explanation:

Answer:

90°, that is all the other angles so it would be 40° and 50°

Step-by-step explanation:

I hope this helps you :)

Answer:

40 degrees

Step-by-step explanation:

the three angles of a triangle must add to 180 and since it is an isosceles two angles must be equal therefore 180-100=80 to be divided by 2.

The chapter test from maths teacher will contain 15 questions of worth 4 points.

Let the number of questions having weightage of 4 marks be x. Now, we know that problems will only be worth 2 and 4 points. Also we know that some of these problems will be 35. Thus, let us form the equation.

20 + x = 35

Rewriting the equation according to x

x = 35 - 20

Performing subtraction on Right Hand Side of the equation

x = 15

Thus, there will be 15 questions of 4 points.of the maths test to be conducted next week.

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The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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The exponent of x in the expression (x¹⁰)³⁺⁵ is 6.

Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These rules can help simplify formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.

The mathematical process known as an exponent often indicates the power of a variable.

As of right now, we are aware that under the scenario of

\((x^{a})^{b} = x^{ab}\)

Therefore, solve the power by multiplying 10 by 3/5, and we get

10 × (3/5)

=6

Thus, the expression simplified as

(x¹⁰)³⁺⁵ = x⁶

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Answer:

2

Step-by-step explanation:

By how much does x power 2 - ax +5 exceeed 3x power 2 -5x=6 I hope this helps :)

The symbol that represents the dependent variable in a regression equation is:

a. y

The dependent variable is the variable that is being predicted or explained by the independent variable(s) in the regression analysis. It is typically represented by the symbol "y" in the regression equation. The independent variable(s) are usually represented by the symbol "x" or other appropriate letters.

In a regression equation, the dependent variable is the variable that we are trying to predict or explain based on the independent variable(s). It is the variable whose value is influenced or determined by the independent variable(s). For example, if we are studying the relationship between income (dependent variable) and education level (independent variable), we want to understand how education level affects or predicts income. In this case, income would be represented by the symbol "y" in the regression equation, as it is the variable we are interested in explaining or predicting. The independent variable(s), such as education level, would be represented by the symbol "x".

Therefore, the correct answer is option a. y.

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Answer:

30°

Step-by-step explanation:

The circumscribed angle is half the difference of the intercepted arcs

arc ELD = 360° - 150° = 210° , then

angle = \(\frac{1}{2}\) (210 - 150)° = 0.5 × 60° = 30°

Answer:

30

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

There are 4 black sections, 3 gray sections, and 1 white section.

This means that there are 8 in total.

3/8 of the squares are gray so that would be the answer.

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units³; therefore, Shannon is correct. The correct option is A.

To compare the volumes of the rectangular pyramid and the rectangular prism, we need to find the base area (BA) of the pyramid. The volume (V) of a pyramid is given by the formula:

\(V = \dfrac{1}{3} \times BA \times h\)

where BA is the base area and h is the height.

Given that the volume of the pyramid is 40 units³ and the height is 6 units, we can find the base area:

40 = (1/3) x BA x 6

Now, solve for BA:

\(BA = \dfrac{(40 \times 3)} { 6}\\BA = 20\ units^2\)

Now, let's check the options:

A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units³; therefore, Shannon is incorrect.

The volume of the rectangular prism with BA = 20 and h = 6 is (20 x 6) = 120 units³, not 40 units³. So, this statement is incorrect.

A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units³; therefore, Shannon is incorrect.

We have already determined that the base area of the pyramid is 20 units², not 6.67 units². So, this statement is incorrect.

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units³; therefore, Shannon is correct.

This statement matches our calculations. The volume of the rectangular prism with BA = 20 and h = 6 is (20 x 6) = 120 units³, which is three times the volume of the pyramid. So, this statement is correct.

A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units³; therefore, Shannon is correct.

The base area of the pyramid is 20 units², not 6.67 units². So, this statement is incorrect.

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units³; therefore, Shannon is correct.

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The complete question is attached below:

A rectangular pyramid has a height of 6 units and a volume of 40 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?

A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.

A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.

A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.

The rise in disposable income from $250 million to $300 million will increase consumption by $40 million.

To determine the change in consumption resulting from a rise in disposable income, we need to consider the marginal propensity to consume (MPC). The MPC represents the proportion of additional income that individuals choose to spend on consumption.

In this case, the MPC is given as 0.8. This means that for every additional dollar of disposable income, individuals will spend 80 cents on consumption.

Given that the rise in disposable income is from $250 million to $300 million, the increase in disposable income is $300 million - $250 million = $50 million.

To calculate the change in consumption, we multiply the increase in disposable income by the MPC:

Change in consumption = MPC * Change in disposable income

Change in consumption = 0.8 * $50 million

Change in consumption = $40 million

Therefore, the rise in disposable income from $250 million to $300 million will increase consumption by $40 million.

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If MPC is given as 0.8, a rise in disposable income from $250m to $300m will

decrease consumption by $50m.

increase consumption by $300m.

increase consumption by $50m.

increase consumption by $40m.

Answer:

Brother: $168.00

Sister: $132.00

Step-by-step explanation:

14 + 11 = 25

300/25=12

Brother gets (12*14) $168.00

Sister gets (12*11) $132.00

Answer:

60 Ft.

Step-by-step explanation:

125 Cubic Ft divided by 25 gets the length of a unit and that is 5. 5 times 12 is 60.

The contractor would have to work for 20 hours on the site to earn $555 total pay

What is total cost function?

Total cost function is the sum of the fixed charge, which is fixed cost to the person paying the contractor when the contractor visits the site and charge per hour multiplied by the number of hours spent working

TC=a+bX

TC=total cost=$555

a=fixed charged=$55

b=charge per hour=variable element of contractor's pay=$25

X=number of hours spent working=unknown

$555=$55+$25X

$555-$55=$25X

$500=$25*X

X=$500/$25

X=20

The contractor needs to work for 20 hours in order to earn a total pay of $555

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The probability of a majority of the advisory board opposes to funding is 0.352

Two events are said to be independent of each other if the probability that one event occurs in no way affects the probability of the other event occurring .If A and B are independent events then the probability that they all occur is given by P(A) x P(B)

Here, the opinions of the three students on the board are independent the probability is 0.4 that each opposes the funding of interest groups

Mjority of the board opposes can be when two or more members oppose it.

P(ABC) = P(A) x P(B) x P(C)

P(ABC) = 3 (0.6) x 0.4 x 0.4 + 0.4 x 0.4 x 0.4

= 0.288 + 0.064

= 0.352

Therefore, the probability of a majority of the advisory board opposes to funding is 0.352

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AB=AOB×r

6π=9AOB

AOB=3π/2

The area of the circular sector is given by;

\(a = \frac{ \frac{3\pi}{2} }{2\pi} \times (\pi \: r {}^{2} )\)

\(a = \frac{3\pi}{4} \times 81\pi\)

\(a = 60.75\pi\)

\(a = 190.85 \: cm {}^{2} \)

Answer:

obtuse angled triangle

The transformation on a line such that a line is obtained which is pependicular to previous line is possible only when it is reflected through y = x axis. This can be understood as,

When line is reflected about x-axis, the x coordinate remain same where as y-coordinate changes in opposite sign with same magnitude. So reflection of line x = 3 about x axis remain same.

Simillarly reflection of line x = 3 about x = 1 remain same as x = 3.

The reflection of line x = 3 about y-axis results n a parallel line passing through x = -3.

So answer is reflection across y = x.

Answer:

x = -8

Step-by-step explanation:

The line is a vertical line with x-intercept of -8

The total value of Jerry’s stock at the end of this time period based on the information about the average will be $26.

From the information, Jerry owns 20 shares of stock valued at $23 each. One day, the price of the stock rose$2. It fell $1 on each of the next three days. The stock price rose$4 on the next day.

This will be:

= $23 + $2 - 3($1) + $4

= $23 + $2 - $3 + $4

= $26

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The vertex of the parabola is at (-2, 2), the line of symmetry of the parabola is at x = -2 and the parabola is open downwards

From the given parabola

The vertex of the parabola is at (-2, 2)

The vertex of the parabola is defined as the the point at the intersection of the parabola and its line of symmetry.

The line of symmetry is at x = -2

The parabola is open downwards

Hence, the vertex of the parabola is at (-2, 2), the line of symmetry of the parabola is at x = -2 and the given parabola is open downwards

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