.....
......
........
..........

Answer:

$114.19

Step-by-step explanation:

7.25*15 = 108.75

108.75*1.05 = 114.1875

You can't have less than a cent, so it is $114.19

Answer: $114.19

Step-by-step explanation:

The correct option is; Associative Property of Addition.

For the given question;

The equation formed by the given statement is -

5 + [(-3x) + 4] = [5 + (-3x)] + 4

Observe the stated equation and comparing with the general equation;

The values are arranged in the form of associative addition.

Check the values;

LHS = 5 + [(-3x) + 4] ; simplifying,

5 -3x + 4 = 9 - 3x

RHS =  [5 + (-3x)] + 4 ; simplifying,

5 - 3x + 4 = 9 -3x

As, LHS = RHS and addition is being done.

Thus, the given equation shows the associative property of addition.

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Answer:

The poll uses voluntary response, so the results tell us little about the population of all adults.

Step-by-step explanation:

I took the test

The one which is true would be; C poll uses voluntary response, so the results tell us little about the population of all adults.

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Let the sample mean given as \(\overline{x}\) and

The sample standard deviation s, and

The sample size = n, and

The level of significance = \(\alpha\)

About 59% of the 45,000 people responded as "Yes" to the question

The sample size is n = 45,000.

The sample proportion is p = 0.59.

The sample selected is a voluntary sample, such that the individuals provided their responses voluntarily. So, the sample is not a true representative of the population.

Thus the results tell us little about the population of all adults because of the large sample size.

The correct option is C poll uses voluntary response, so the results tell us little about the population of all adults.

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Answer:

x=-5

Step-by-step explanation:

Answer:

x = -5

4x + 12 = -8

4x = -20

x = -5

Hope this helps

Answer:

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

Find the sum of the volumes of the two given cones.

Cone volume:

Cone 1, d = 4m, h = 8m:

Cone 2, r = 2m, h = 6 m:

Total volume:

Answer:

  x = 3⁸  

Step-by-step explanation:

Step(i):-

Given that

              \(log _{3} (x)+ log_{9} (x) =12\)

             \(log _{3} (x)+ log_{3^{2} } (x) =12\)

  we know that

        \(log^{a} _{b} = \frac{loga}{logb}\)

         \(log _{3} (x)+ \frac{logx}{log3^{2} } =12\)

Step(ii):-

Apply log xⁿ = nlogx

      \(log _{3} (x)+\frac{1}{2} \frac{logx}{log3 } =12\)

    \(log _{3} (x)+ \frac{1}{2} log_{3 } (x) =12\)

   \(log _{3} (x)+ log_{3 } (x)^{\frac{1}{2} } =12\)      ( ∵  log xⁿ = nlogx)

 Apply log(ab) = loga+logb

 \(log _{3} (x (x^{\frac{1}{2} }) =12\)

  \(log _{3} ( (x^{\frac{3}{2} }) =12\)

\(\frac{3}{2} log _{3} ( x) =12\)

 \(\frac{1}{2} log _{3} ( x) = 4\)

\(log _{3} ( x) = 8\)

we know that  \(log _{b} ( x) = a\)    ⇒  x = bᵃ

∴    x = 3⁸  

The mathematical sentence can be written as the expression:

x + 3x²

Here we have the mathematical sentence "A number plus 3 times its square"

So, let's say that the number is x.

Then we want to write the sum of x and 3 times the square of x, which is written as x²

Then the expression for this mathematical sentence is:

x + 3x²

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Answer:

x+y = 3

Step-by-step explanation:

The line of best fit for this set of points is y = -1.00x + 9.00.

Coefficient is a value that is used to indicate the degree or amount of a certain property or characteristic. It is usually used in mathematics and physics, and is a numerical measure of how two variables are related. For example, the coefficient of friction is a number that indicates how much resistance there is between two surfaces when one is sliding over the other. In economics, the coefficient of elasticity is used to measure how much of a change in one variable affects a change in another.

Linear regression is a technique used to find the line of best fit for a given set of points. To use linear regression, we must first calculate the mean of all the x and y coordinates. The mean of the x coordinates is 4, and the mean of the y coordinates is 4.5.

We then calculate the sum of the squared differences between the x and y coordinates and their respective means. This sum is 36.5.

Next, we calculate the sum of the products of the differences between the x and y coordinates and their respective means. This sum is -25.

Using the formula for linear regression, we can calculate the slope of the line of best fit. The slope is -1.00.

To calculate the y-intercept of the line of best fit, we use the slope and the mean of the x and y coordinates. The y-intercept is 9.00.

The line of best fit for this set of points is y = -1.00x + 9.00.

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The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.

Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).

From the given box plot we observe that the minimum value is 12 and the maximum value is 24.

Here, the median is 19.

From the information the two data set that have the corresponding values are:

12, 15, 15, 17, 19, 19, 20, 22, 24

12, 15, 17, 17, 19, 19, 22, 22, 24

The lower quartile is 15.

The upper quartile is 21.

Calculating the lower quartile for the data sets:

12, 15, 15, 17, 19, 19, 20, 22, 24

Lower quartile = 15

Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

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The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

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Answer:

Median

Step-by-step explanation:

Usually, in statistics when we have a skewed distribution, to calculate the central tendency and spread we usually calculate the median.

Thus, the calculations preferred in this case is median.

Answer:

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

The fact which helps to prove the isosceles theorem is; The base angles of an equilateral triangle have equal measure.

Isoscelles triangles in plane shape concept are characterized by two equal sides.

On this note, similarly in equilateral triangles, 2 sides are equal ( although, all sides of an equilateral triangle are equal).

Ultimately, the statement which helps to prove the isosceles triangle theorem is therefore; The base angles of an equilateral triangle have equal measure since all the two sides are equal as in isoscelles triangles too.

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Answer:

B. - 18

Step-by-step explanation:

-2 ║n + 6 ║                                     n = -15

= -2 ║ - 15 + 7 ║

= -2 ║-9 ║

= -2 · 9

= -18

So, the answer is B. - 18

The value of the expression is 16x(x+1) / 10x² -14x -12

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given expression is

16/(x-2)  ÷ 4/(x+1) + 6/x

Simplify this to have

16 / (x-2) ÷ (10x + 6) / (x+1)(x)

this implies that 16/(x-2) * (x+1)(x)/(10x +6)

16(x² + x)/(x-2)(10x+6)

Therefore the value of the expression is

16x(x+1) / 10x² -14x -12

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Answer:

A = $7,554.84

A = P + I where

P (principal) = $4,500.00

I (interest) = $3,054.84First, convert R as a percent to r as a decimal

r = R/100

r = 2.73/100

r = 0.0273 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,500.00(1 + 0.0273/12)(12)(19)

A = 4,500.00(1 + 0.002275)(228)

A = $7,554.84

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $4,500.00 at a rate of 2.73% per year compounded 12 times per year over 19 years is $7,554.84.

Step-by-step explanation:

On an average, about 2.13 people region will need to get selected in order to find that one person who carries the genetic trait.

Random selection is a very important process in research methodology. The purpose of random selection is to increase the generalizability of the results as when we draw a random sample from a large population, it is less likely to be subject to bias.

Since 47 percent of the people in the population are carrying the gene, the probability of random selection will be 0.47. But we need to also consider how many trials will be unsuccessful. Therefore, we will use the mean,

1/0.47 = 2.127 ≅ 2.13

--The given question is incomplete, the complete question is

"According to a recent survey, 47 percent of the people living in a certain region carry a certain genetic trait. People from the region will be selected at random one at a time until someone is found who carries the genetic trait. On average, how many people from the region will need to be selected to find one person who carries the genetic trait?"--

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1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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The required graph has been attached below that represents the function f(x) = 5 cos (2x).

The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.

Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.

The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).

Thus, the graph has been attached below that represents the given function.

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Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

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Answer:

The answer is 33°

Yes you are correct

Step-by-step explanation:

angles on a straight line equal 180°

57+90+x=180

x+147=180

x=180-147

x=33°

Hi, I can't tell if there's a little square drawn in red to indicate that there's a right angle in the middle. There's some squiggly lines and so it's kind of hard to tell.

I am going to assume that there is. Let me know if there isn't.

The sum of these 3 angles would be 180 degrees.

As an equation, 57 + 90 + x = 180

Solve for x.

147 + x = 180

x = 33 degrees.

So this would be correct ASSUMING that there's a little red square drawn indicating that there's a right angle.

Answer:

because .47 rounded up is .5

Answer:

623.61 cm³

Step-by-step explanation:

Given:

Radius of sphere (r) = 5.3 cm

Required:

Closest volume of the ball

SOLUTION:

Volume of a sphere = ⁴/3πr³

Radius (r) = 5.3 cm

Plug in the value of r

Volume = ⁴/3*π*5.3³

Volume = ⁴/3*π*148.877

Volume = 623.61 cm³

623.61 cm³ is closest to the volume of the ball.

Answer:

Desert A: 400,000

Desert B: 3,600,000

Step-by-step explanation:

If desert b is 9 times bigger than desert a, we can classify desert b as the variable 9a. (To symbolize a * 9)

9a + a = 4,000,000

10a = 4,000,000

Divide 4 million by 10, and we get the area of desert a.

a = 400,000

Desert A has an area of 400,000.

We know Desert b is 9 times desert A, so we can just multiply the area of Desert A by 9 and we get Desert B's area.

400,000 * 9 = 3,600,000

Desert b has an area of 3,600,000.

Answer:

The smaller desert area is 400000, and the bigger is 3600000 sq.miles

Step-by-step explanation:

I did this work on paper.

Hope this helped :)

P.S. If this is wrong please let me know

Note that his is solved using the principle of Combination, and there are 771, 891, 120 different ways to form the groups for the first division soccer league tournament in Mexico.

Let 's compute the number of ways to form the groups using combinations.

First group - 5 teams

C(18, 5) = 18! / (5! * (18-5)!) = 8568

Second group - 5 teams

C(13, 5) = 13! / (5! * (13-5)!) = 1,287

Third group - 4 teams

C(8, 4) = 8! / (4! * (8-4)!) = 70

Fourth group - 4 teams

C(4, 4) = 4! / (4! * (4-4)!) = 1

Now, applying the product rule

Total ways =  8568 x 1,287 x 70 x 1 = 771891120

Therefore, there are 771, 891, 120  different ways to form the groups for the first division soccer league tournament in Mexico.

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Translation

In how many ways is it possible to form the groups of the first division soccer league tournament? Let's remember that 18 teams participate in the first division of soccer in Mexico, and for the league tournament, two groups of five teams and two groups of 4 teams are formed. It is suggested that when solving it, the number of teams that have been considered for the first group be subtracted, then for the second group and so on for each group. Finally apply the product rule to find the different shapes.​

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

Hypothesis

a. If two integers are even

Conclusion

b. then their sum is even

Step-by-step explanation:

We divide the statement into two parts . The first part is true only when the second is also true. The only way we can reject the hypothesis is that the conclusion is false.

In the statement "If two integers are even, then their sum is even" the part "If two integers are even" would be considered true or false on the basis of "then their sum is even" validity. So if the "then their sum is even" (conclusion )  Part is proved then the "If two integers are even" ( hypothesis) is also true.

Hence the hypothesis is

a. If two integers are even

and

Conclusion is

b. then their sum is even