a survey revealed that 21.5% of the households had no checking account, 66.9% had regular checking accounts, and 11.6% had now accounts. of those households with no checking account 40% had savings accounts. of the households with regular checking accounts 71.6% had a savings account. of the households with now accounts 79.3% had savings accounts. the probability that a randomly selected household has no checking account and no savings account is:

Answer:

5 < 10x - 3

Step-by-step explanation:

5 - 2x < 8x - 3

Add '2x' to both the sides

5 - 2x + 2x < 8x + 2x - 3

5 < 10x - 3

In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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Answer: T-62

Step-by-step explanation: i think this is correct

The solution is, the value we get, t = 62.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

8(t+2) -3(t-4)=6(t-7)+8

or, 8t + 16 -3t +12 = 6t - 42 +8

or, 5t + 28 = 6t - 34

or, t = 62

Hence, The solution is, the value we get, t = 62.

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The critical value Z α/2 for the confidence interval of 90% is 1.64.

Z α/2 is the critical value that divides the area of α/2 to the right of the center into two parts so that the area of the right tail is α/2. It is used to calculate the confidence intervals for any normal distribution. A confidence interval is an estimate of a population parameter based on a sample. A 90% confidence level indicates that there is a 90% chance that the true population parameter falls within the given range of values. To find the critical value Z α/2 that corresponds to a confidence level of 90%, we need to first find α/2.

Since the total area under a standard normal distribution curve is equal to 1, and we want to find the area to the right of the center, we subtract the confidence level from 1 to get α/2 = 0.05. Using a standard normal distribution table or calculator, we find that the critical value Z α/2 for the confidence interval of 90% is 1.64.

Calculation steps:

α/2 = (1 - Confidence level)/2

α/2 = (1 - 0.90)/2

α/2 = 0.05

Use a standard normal distribution table or calculator to find the

Z α/2 value corresponds to an area of 0.05 to the right of the center.

The Z-value is 1.64.

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Based on the given equation, the population of the country in the year 2000 should be approximately 3,167,277 (option D).

The equation log(population) = -13.5 + 0.01 x (year) represents a logarithmic regression model for the population of a country. The equation relates the logarithm (base 10) of the population to the year.

To find the population in the year 2000, we substitute the year value (2000) into the equation. Plugging in x = 2000, we have:

log(population) = -13.5 + 0.01 x 2000

log(population) = -13.5 + 20

log(population) = 6.5

To find the population, we need to take the antilogarithm of both sides to undo the logarithm:

population = 10^(6.5)

Evaluating this expression, we find that the population of the country in the year 2000 should be approximately 3,167,277 (option D).

Therefore, the correct answer is D) 3,167,277.

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Answer:

a. 44

Step-by-step explanation:

using inverse cosine we can find the angle since we have the length of the hypotenuse and adacent  

cos^-1 (13/18) = 43.76

Answer:

A. -3/5 B. 1/5. C. 0.8.

Step-by-step explanation:

Since A is on the left side of 0, it will be negative, in which -3/5 is the only negative answer on there, so A= -3/5. Since B is on the right side of the 0 it's positive, and it is equal to 1/5 which gets you to 0.20, which will be the value of each line since 1 divided by 5 is equal to 0.20. 0.8 is also known as 0.80 so C will be next to the 1.

Answer:

$404.17

Step-by-step explanation:

(19700 - 19700/2 -5000) / 12 =

Answer:

45:18:36

Step-by-step explanation:

\(99 = 5x +2x+4x\\99=11x\\x=9\\\)

substitute x back into 5x:2x:4x

Therefore, 99 in the ratio of 5:2:4...

45:18:36

Answer: b=112 degrees and c=68

Step-by-step explanation:

Answer:

b = 112, c = 68

Step-by-step explanation:

The angle of a line is 180 degrees.

If an angle is 112, 180-112=68 so that blank space will be 68 degrees.

180-68=112, so b=112.

Since b is 112, we now that c is 68.

Answer:

m= 1, n = -4

Explanation:

Given the simultaneous equation

3m + 4n = -13 ...1 * 5

5m + 6n = -19....2 * 3

_______________________

15m + 20n = -65

15m + 18n = -57

Subtract the resulting equation:

20n - 18n = -65-(-57)

2n = -65+57

2n = -8

n = -8/2

n = -4

Substitute n = -4 into equation 1;

From1:

3m + 4n = -13

3m + 4(-4) = -13

3m - 16 = -13

3m = -13 + 16

3m = 3

m = 3/3

m = 1

Hence the value of m is 1

The solution to the system of equation (m, n) is (1, -4)

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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Answer:

\(m=17\)

Step-by-step explanation:

Division:

\(\frac{4m}{4}=\frac{68}{4}\)

Single Out Variable:

\(m=17\)

Hey there!

4m = 68

DIVIDE 4 to BOTH SIDES

4m/4 = 68/4

CANCEL out: 4/4 because it gives you 1

KEEP: 68/4 because it help solve for the m-value

NEW EQUATION: m = 68/4

SIMPLIFY IT!

m = 17

Therefore, your answer is: m = 17

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

I am not sure

But I think it's 7

The cubic model that fits the data is y = x³ + 2x² + 3x - 4, and the quartic model is y = x⁴ - 2x³ + 3x² - 4x - 5. The quartic model is a better fit because it has a higher degree and can capture more complex patterns in the data.

To find a cubic model for the given data, we need to find a cubic equation of the form y = ax³ + bx² + cx + d that fits the given points. By substituting the x and y values into the equation, we can solve for the coefficients a, b, c, and d. After performing the calculations, we find that the cubic model that fits the data is y = x³ + 2x² + 3x - 4.

Similarly, to find a quartic model, we need to find an equation of the form y = ax⁴ + bx³ + cx² + dx + e that fits the given points. By substituting the x and y values into the equation and solving for the coefficients, we find that the quartic model that fits the data is y = x⁴ - 2x³ + 3x² - 4x - 5.

In this case, the quartic model is a better fit because it has a higher degree and can capture more complex patterns in the data. The quartic equation allows for more flexibility in modeling the relationship between x and y, and it can better account for any intricate variations in the data. The cubic model, on the other hand, may not capture the finer details of the data as accurately as the quartic model. Therefore, the quartic model provides a more precise representation of the relationship between the variables.

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Answer:

Step-by-step explanation:

Angle 1 and Angle 2 add up to 90 degrees (a right angle).

Angle 1 is (x-5) and Angle 2 is 4x.

So let's add those up and set them equal to 90.

(x-5) + 4x = 90

Now solve for x.

5x - 5 = 90

5x = 95

x = 19

Substitute x = 19 back into the provided equations for Angle 1 and Angle 2.

Angle 1 = x-5 = 19-5 = 14 degrees.

Angle 2  = 4x = 4*19 = 76 degrees.

Now do a check - - - angle 1 + angle 2 should equal 90!

14 + 76 = 90 degrees.

A parametric description of the solution set of a linear system is the same as solving the system is the false statement.

If a linear system has at least one solution, only then can the solution set be stated using a parametric description. The set of ordered pairs that make up the solution to an equation with two variables is referred to as the solution set. You'll discover what a solution set is in this tutorial and witness an example. By combining two equations with two variables into one equation with one variable, we can solve a system of equations. Since there are two variables in each equation in the system, replacing a variable with an expression can help minimize the number of variables in an equation.

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Answer:

4number is the answer

sin30

It should be noted that a number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

Positive numbers are plotted to the right of the origin while negative numbers are plotted to the left of the origin. Arrows are put on the ends of the horizontal line to show that the line continues to infinity.

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Researchers must use experiments to determine whether causal relationships exist between variables.

Experiments are an essential tool in research to investigate causal relationships between variables. While other research methods, such as correlational studies, can identify associations between variables, experiments provide a stronger basis for establishing cause-and-effect relationships. In an experiment, researchers manipulate an independent variable and observe the effects on a dependent variable while controlling for potential confounding factors. The use of experiments allows researchers to establish a level of control over the variables under investigation. By randomly assigning participants to different conditions and manipulating the independent variable, researchers can examine the effects on the dependent variable while minimizing the influence of extraneous factors. This control enables researchers to determine whether changes in the independent variable cause changes in the dependent variable, providing evidence of a causal relationship. Experiments also allow researchers to apply rigorous designs, such as double-blind procedures and randomization, which enhance the validity and reliability of the findings. Through systematic manipulation and careful measurement, experiments provide valuable insights into the nature of relationships between variables and help researchers draw more robust conclusions about cause and effect.

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The answer is C. 1/10 of a centimeter.

The next operation that should be done when evaluating this expression 9-12+-2+3(-3) is A. 3(-3)=-9

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

In this case, it should be noted that the expression given is written as 9-12+-2+3(-3). In PEDMAS, the first operation is parentheses. Therefore, the number on parentheses will be solved first.

In this case, the number in parentheses will be 3(-3). Therefore, the correct option is A.

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Given r^2 = 6 cos 2θThe equation represents a lemniscate. To find the area inside the lemniscate, we use the following formula; A = (1/2)∫(r)^2 dθ

[from θ = 0 to θ = 2π]

where r is the distance from the origin to the curve (given by the equation of the curve in polar coordinates).Here, r^2

= 6 cos 2θ ⇒ r

= ± √6 cosθThe curve represents a lemniscate with the axis along the x-axis. So, we take the positive sign of r. Thus,r

= √6 cos θ∴ Area, A

= (1/2)∫(r)^2 dθ [from θ

= 0 to θ

= 2π]

= (1/2)∫[(√6 cos θ)^2] dθ [from θ =

0 to θ

= 2π]

= 3∫cos^2θ dθ [from θ

= 0 to θ

= 2π]We know that cos 2θ

= 2 cos^2θ - 1⇒ cos^2θ

= (1 + cos 2θ)/2

We substitute this value in the integral,∴ A = 3∫(1 + cos 2θ)/2 dθ

[from θ = 0 to θ = 2π]

= 3/2 ∫(1 + cos 2θ) dθ

[from θ = 0 to θ = 2π]

= 3/2 [θ + (1/2) sin 2θ]

= 3/2 (2π)

= 3πThus, The area inside the lemniscate r^2

= 6 cos 2θ is 3π.

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Answer:

5.6

Step-by-step explanation:

11*7=77

11.8*7= 82.6

82.6-77=5.6

2(5×2+2×2+2×5)

ans- 48cm²

The evaluation of ∫30(4f(t) - 6g(t)) dt given that ∫150f(t) dt = -7, ∫30f(t) dt = -8, ∫150g(t) dt = 4, and ∫30g(t) dt = 8 is -80.

Given that ∫150f(t) dt = -7, ∫30f(t) dt = -8, ∫150g(t) dt = 4, and ∫30g(t) dt = 8.

Let us evaluate ∫30(4f(t) - 6g(t)) dt.

Therefore,∫30(4f(t) - 6g(t)) dt = ∫30(4f(t) dt - 6g(t) dt) = 4 ∫30f(t) dt - 6 ∫30g(t) dt

Now, using the given values in the question we can say that,∫30(4f(t) - 6g(t)) dt = 4 ∫30f(t) dt - 6 ∫30g(t) dt = 4 (-8) - 6(8) = -32 - 48 = -80

Therefore, the evaluation of ∫30(4f(t) - 6g(t)) dt given that ∫150f(t) dt = -7, ∫30f(t) dt = -8, ∫150g(t) dt = 4, and ∫30g(t) dt = 8 is -80.

Note: The given integrals ∫150f(t) dt, ∫30f(t) dt, ∫150g(t) dt, and ∫30g(t) dt are only intermediate steps in order to evaluate the final integral.

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Not proportional because the numbers jump around