Solve by elimination.
3x + 4y = -6
5x - 4y = 22

Answer:

R=22% , T=8yrs , P=$250

I=PRT/100

I=250×22×8/100

I=$440.00

The Interest that's earned will be $440.

The formula for calculating simple Interest will be:

= PRT/100

where,

P = $250

R = 22%

T = 8 years

Therefore, the simple interest will be:

= (250 × 22 × 8) / 100

= 44000/100

= 440

Therefore, the simple interest is $440.

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Total outcomes:

So the final answer is "60"

The expression is constant for b = -7.5, and the constant is 49.5.

A mathematical expression is a phrase that contains at least two terms or numbers and one action. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given that, The expression 3(5x - 1) + b(2x - 7) is constant

It means the expression doesn't consist of a variable. So, we need to find the 'b' such that the variable 'x' need to be eliminated.

The co-efficient of the 'x' should be '0'.

3(5x - 1) + b(2x - 7)

= 15x - 3 + 2bx - 7b

= (15 + 2b)x - 3 - 7b

Now, 15 + 2b = 0

2b = -15

b = -7.5

On substituting the value of 'b' in the expression,

= -3 - 7 * (-7.5)

= 52.5 - 3

= 49.5

Therefore, The expression is constant for b = -7.5, and the constant is 49.5

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Answer:

A. y + 5 = –3(x – 1); y = –3x – 2

Step-by-step explanation:

Point-slope form:

Slope-intercept form;

EXPLANATION

The point-slope form of a line is given by:

We need to find the slope using the formula:

Let us substitute the point (1, –5) and (–3, 7).

This implies that,

The point slope form now becomes,

To find the slope intercept form, we expand to obtain;

Answer:one second I’ll help you

Step-by-step explanation:

13) To calculate the probability of picking an even number or a multiple of three between 1-20, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Favorable outcomes for even numbers: {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} (10 numbers)

Favorable outcomes for multiples of three: {3, 6, 9, 12, 15, 18} (6 numbers)

Total possible outcomes: 20 (numbers from 1 to 20)

Picking an even number or a multiple of three:

= (Number of favorable outcomes) / (Total possible outcomes)

= (10 + 6) / 20

= 16 / 20

= 4 / 5 Therefore, the probability of picking an even number or a multiple of three between 1-20 is 4/5.

14)  From the given table, we see that Hearts were selected 8 times out of 52.

Experimental probability of selecting a heart:

= Number of times Hearts were selected / Total number of selections

= 8 / 52

= 2 / 13

b) The theoretical probability of selecting a heart can be found by dividing the number of hearts in a standard deck of 52 cards by the total number of cards.

Theoretical probability of selecting a heart:

= Number of hearts / Total number of cards

= 13 / 52

= 1 / 4

c) To find the experimental probability of selecting a diamond or a spade, we add the number of times diamonds and spades were selected and divide it by the total number of selections.

= (Number of times Diamonds were selected + Number of times Spades were selected) / Total number of selections

= (9 + 12) / 52

= 21 / 52

= 3 / 13

d) The theoretical probability of selecting a diamond or a spade can be found by adding the number of diamonds and spades in a standard deck of 52 cards and dividing it by the total number of cards. Theoretical probability of selecting a diamond or a spade:

= (Number of diamonds + Number of spades) / Total number of cards

= (13 + 13) / 52

= 26 / 52

= 1 / 2

e) Similarly, the experimental probability of selecting a diamond or a spade (3/13) is close to the theoretical probability (1/2).

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Two identical figures with all sides of equal length = Both are square

Solution :

The perimeter of a square is defined as the total length that its boundary covers. The perimeter of any closed geometrical shape is calculated by finding the distance around that shape. For a square, the perimeter can be calculated by finding the sum of all the sides. Since all four sides are equal, it is four times the length of each side of a square. Let us learn about perimeter of square in detail in this article.

Derivation of Perimeter of Square Formula

The perimeter of the square is defined as the total length of the boundary of a square. In order to calculate the perimeter of the square, we will find the sum of all of its sides. Since all sides of a square are equal for a square, with each side measuring "s" units, perimeter will thus be given as,

Perimeter of square = s + s + s + s

⇒ Perimeter of square = 4s, where "s" is the side length of the square.

Squares :

A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram (an equilateral and equiangular one). A square has four axes of symmetry, and its two finite diagonals (as with any rectangle) are equal. Bisection of a square by diagonal results in two right triangles.

The formula for the perimeter of a square is,

P = Side + Side + Side + Side. Or,

P = 4 × Side.

two identical figures with all sides of equal length the combined perimeter of the figure is 80centimeters

2(4*side ) = 80

8*side = 80

side = 10

length of one side =10

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Answer:

bru im confused

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because I think it makes sense if I'm wrong I'm am very sorry

Answer:

x = 100° , y = 75° , z = 135°

Step-by-step explanation:

x and 80° are a linear pair and sum to 180° , that is

x + 80° = 180° ( subtract 80° from both sides )

x = 100°

y and 105° are a linear pair and sum to 180° , then

y + 105° = 180° ( subtract 105° from both sides )

y = 75°

the sum of the interior angles of a polygon is

sum = 180° ( n - 2 ) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540°

z + x + 90° + 110° + 105° = 540°

z + 100° + 90° + 110° + 105° = 540°

z + 405° = 540° ( subtract 405° from both sides )

z = 135°

The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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Answer: ß

Step-by-step explanation:

Using the together rate, it is found that the value that must be discarded is given by x = -9.

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Hence:

\(\frac{1}{x} + \frac{1}{x + 18} = \frac{1}{40}\)

\(\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}\)

\(x^2 + 18x = 80x + 720\)

\(x^2 - 72x - 720 = 0\)

Then, we have a quadratic function, with coefficients a = 1, b = -72, c = -720, so:

\(\Delta = (-72)^2 - 4(1)(-720) = 8064\)

\(x_1 = \frac{72 + \sqrt{8064}}{2} = 80.9\)

\(x_2 = \frac{72 - \sqrt{8064}}{2} = -9\)

They cannot have a negative rate, hence the value that must be discarded is given by x = -9.

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Answer:

X = -10

Step-by-step explanation:

PLATO

Perceptual mapping conjoint analysis evaluative mapping regression analysis factor analysis.

Perceptual mapping or market mapping is a diagrammatic technique used by asset marketers that attempts to visually display the perceptions of customers or potential customers.

The positioning of a brand is influenced by customer perceptions rather than by those of businesses. For example, a business may feel it sells upmarket products of high quality, but if customers view the products as low quality, it is their views which will influence sales.

Perceptual maps, also known as market maps, usually have two dimensions but can be multi-dimensional or use multiple colours to add an extra variable.

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Main Answer:The correct option is:A. 0.0127

Supporting Question and Answer:

How can we estimate the probability of success (p) for a binomial distribution when given a dataset?

The probability of success (p) for a binomial distribution can be estimated by calculating the ratio of the number of successful outcomes (in this case, players with more than 143 rebounds) to the total number of outcomes (total number of players in the dataset).

Body of the Solution:To calculate the approximate probability that at least three out of five randomly selected players had more than 143 rebounds in a season, we can use the binomial distribution.

The probability of a player having more than 143 rebounds is equal to 1 minus the cumulative probability of having 143 or fewer rebounds.

Let's denote this probability as p, which represents the probability of success (a player having more than 143 rebounds) on a single trial. We can estimate p as the ratio of the number of players with more than 143 rebounds to the total number of players in the dataset.

Given that the third quartile for the total number of offensive rebounds in a season is 143, we can estimate p as (176 - 143) / 176

= 33 / 176

≈ 0.1875.

Now, we want to calculate the probability of having at least three players with more than 143 rebounds out of five randomly selected players. We can calculate this using the binomial distribution with parameters n = 5 (number of trials) and p = 0.1875 (probability of success).

Using a binomial probability calculator or software, we can find the probability:

P(X ≥ 3) = 1 - P(X ≤ 2)

Using the binomial distribution formula, we can calculate P(X ≤ 2):

P(X ≤ 2) = C(5, 0) * p^0 * (1 - p)^5 + C(5, 1) * p^1 * (1 - p)^4 + C(5, 2) * p^2 * (1 - p)^3

Calculating this expression, we find P(X ≤ 2) ≈ 0.8125.

Finally, the probability of having at least three players with more than 143 rebounds out of five randomly selected players is:

P(X ≥ 3) = 1 - P(X ≤ 2)

≈ 1 - 0.8125

= 0.1875.

Final Answer:The approximate probability is 0.1875, which is closest to option A: 0.0127.

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Answer: D

Step-by-step explanation:

Take the equation and substitute the variables for the numbers given

-7(-4-4(-6))=-140

Hope this helps :)

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer: 5 cents

Step-by-step explanation:

Let's assume the ball costs "x" dollars.

According to the problem, the bat costs a dollar more than the ball, which means the bat costs "x+1" dollars.

Together, the bat and ball cost $1.10.

So, we can add the cost of the ball and bat:

x + (x+1) = 1.10

Combining like terms, we get:

2x + 1 = 1.10

Subtracting 1 from both sides:

2x = 0.10

Dividing both sides by 2:

x = 0.05

Therefore, the ball costs 5 cents.

Answer: -94

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Okay so...I might be interpreting the question wrong-if I am please comment! I'll fix it to the best of my ability.

A) Plug in -5 to all x values

   f(-5)=10(-5)-3

          ==50-3

    f(-5)= -53

B) f(0)=10(0)-3

    f(0)= -3

C) f(7)=10(7)-3

         =70-3

    f(7)=67

D) f(t^2+2)=10(t^2+2)-3

                 =10t^2+20-3

     f(t^2+2)=10t^2+17

E) f(12-x)=10(12-x)-3

              =120-10x-3

    f(12-x)=117-10x

F) f(x+h)=10(x+h)-3

             =10x+10h-3

Answer:

\(\sf y = \dfrac{6}{5} x-8\)

explanation:

coordinates: (-1, 3), (5, -2)

slope:

\(\sf \dfrac{y-y1}{x-x1}\)

\(\hookrightarrow \ \sf \dfrac{-2-3}{5--1}\)

\(\hookrightarrow \ \sf \dfrac{-5}{6}\)

The line L is perpendicular to this slope. so the slope will be:

\(\sf -(m)^{-1}\)

\(\hookrightarrow \ \sf -(\dfrac{-5}{6})^{-1}\)

\(\hookrightarrow \ \ \sf \dfrac{6}{5}\)

make equation using:

\(\sf y - y1 = m(x-x1)\)

\(\hookrightarrow \ \sf y - -2 = \dfrac{6}{5} (x-5)\)

\(\hookrightarrow \ \sf y +2 = \dfrac{6}{5} x-6\)

\(\hookrightarrow \ \sf y = \dfrac{6}{5} x-6-2\)

\(\hookrightarrow \sf y = \dfrac{6}{5} x-8\)

Answer:

i think that it is. C.

i think it will help

A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector. Therefore, option C is the correct answer

Given that, a police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets.

A perpendicular bisector is a line that bisects a line segment in two equal parts and makes an angle of 90° at the point of intersection. In other words, we can say that a perpendicular bisector divides a line segment at its midpoint making an angle of 90°.

A) Angle bisector: The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

B) An altitude: Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it.

C) Perpendicular bisector: A line that bisects a line segment in two equal parts.

D) Median: The middle number; found by ordering all data points and picking out the one in the middle.

A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector. Therefore, option C is the correct answer

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The polygon above has 7 sides. it is an heptagon.

A polygon is a plane figure enclosed by line segments called sides. A polygon is named according to the number of sides.  For example polygon with 5 sides is called pentagon, the polygon with 6 sides is called hexagon, the polygon with 7 sides is called heptagon and the polygon with 8 sides is called octagon

A polygon with equal sides of angle is called a regular polygon.

Therefore, let's count he sides of the polygon to know the polygon name.

Hence the polygon has 7 sides and it is called an heptagon.

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Answer:

A'(-3, 5), B'(1, 7), C'(2, 3)

Step-by-step explanation:

The rule \((x,\,y) \to (x-1,\,y+2)\) means to subtract 1 from all the x-coordinates and add 2 to all the y-coordinates.  (It also means move each point 1 unit to the left and 2 units up.)

Answer:

n = 28

Step-by-step explanation:

2^2 is equal to 4, so we can plug in 2^2 as 4. Then, 4 * 7 = 28, so n = 28.

Answer:

70 + 4D

Step-by-step explanation:

- (2 x 100) + (7 x 10) + (4 x D) + (2 x 100)

   - (200) + (70) + 4D + 200

       -200 + 70 +4D + 200

             -130 + 4D + 200

                   70 + 4D

Answer:

x = 5

Step-by-step explanation:

Think of it like a ratio

Here is the step by step

\(\frac{x}{2} : \frac{12.5}{5} =\\5x = 2*12.5\\5x = 25\\x= \frac{25}{5}\\x = 5\)

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Please mark brainiest

It would help me a lot!

Thanks! :)

The predicted sales for the current month (February 2003) is approximately 44.3. Thus, the correct option is (c) 44.3.

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.

To determine the predicted sales for the current month (February 2003) using the given linear regression model, we need to substitute the values of the intercept and slope coefficients into the equation:

Predicted Sales = Intercept + Slope * Month

Using the provided coefficients:

Intercept = 4.3

Slope = 1.6

Let's calculate the predicted sales for February 2003:

Predicted Sales = 4.3 + 1.6 * (24 + 1)

Predicted Sales = 4.3 + 1.6 * 25

Predicted Sales = 4.3 + 40

Predicted Sales = 44.3

Therefore, the predicted sales for the current month (February 2003) is approximately 44.3. Thus, the correct option is (c) 44.3.

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