The first step in solving using the substitution method is.

Answer:

x≈ 5.4

Step-by-step explanation:

180°-110°= 70°

70° is the measure of the angle represented by 11x+11

set the equation equal to 70°

11x+11= 70°

-11 on both sides

11x= 59

÷11 on both sides

x≈ 5.4

11(5.4)+11≈ 70.4 ≈70

First frame is for b and second frame is for c

The train will take 3hour 7.5min to travel a distance of 250 km

Given that,

Distance of 250 km with a speed of 80 kmh

To find: Time taken by train to travel a distance of 250 km with a speed of 80 kmh

Distance = 250km

Speed of the train =80km/h

Speed is calculated as distance times speed. You need to be aware of the units for distance and time in order to calculate the units for speed. The units in this example will be metres per second (m/s), since the distance is measured in metres (m) and the time is measured in seconds (s).

Time = Distance /speed

=250km /80km/h

=25/8 h

= 3⅛h

= 3hour ⅛*60

= 3hour 7.5min.

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Answer:

3 hours 7.5 mim

Step-by-step explanation:

The train will take 3hour 7.5min to travel a distance of 250 km

Given that,

Distance of 250 km with a speed of 80 kmh

To find: Time taken by train to travel a distance of 250 km with a speed of 80 kmh

Distance = 250km

Speed of the train =80km/h

Speed is calculated as distance times speed. You need to be aware of the units for distance and time in order to calculate the units for speed. The units in this example will be metres per second (m/s), since the distance is measured in metres (m) and the time is measured in seconds (s).

Time = Distance /speed

=250km /80km/h

=25/8 h

= 3⅛h

= 3hour ⅛*60

= 3hour 7.5min.

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So:

Then, the points are (3,1) and (0,4)

Answer:

$8

Step-by-step explanation:

This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert. x + 2y = 82 3x + y = 96 By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?

Two equations are presented in this question

x + 2y = 82   equation 1

3x + y = 96     equation  2

Multiply equation 1 by 3

3x + 6y = 246 equation 3

subtract equation 2 from 3

5y = 150

y = 30

Substitute for y in equation 1

x + 2(30) = 82

x = 82 - 60

x = 22

difference in price = 30 - 22 = $8

x =

From the given information provided, the probability of P(X ≤ 6), P(X˃ 4) and P(|X- 5| ˃ 1) is 0.6915, 0.6915 and 0.3829 respectively.

(i) To find P(X ≤ 6), we need to standardize the value of 6 using the formula:

Z = (X - μ) / σ

where μ = 5 and σ = 2 (since the standard deviation is the square root of the variance, which is 4).

So, we have:

Z = (6 - 5) / 2

Z = 0.5

We can then look up the probability of Z ≤ 0.5 in a standard normal distribution table, or use a calculator to find:

P(X ≤ 6) = P(Z ≤ 0.5) = 0.6915

(ii) To find P(X > 4), we again need to standardize the value of 4:

Z = (4 - 5) / 2

Z = -0.5

Then, we can use the fact that the total area under a normal distribution curve is 1 to find the probability of X being greater than 4:

P(X > 4) = 1 - P(X ≤ 4) = 1 - P(Z ≤ -0.5)

Using a standard normal distribution table:

P(X > 4) = 0.6915

(iii) To find P(|X - 5| > 1), we first need to transform this inequality into a standard normal distribution by standardizing both sides:

|X - 5| > 1

implies:

X - 5 > 1 or

X - 5 < -1

which gives:

X > 6 or X < 4

We can then standardize each inequality separately. For X > 6, we have:

Z = (6 - 5) / 2

Z = 0.5

and for X < 4, we have:

Z = (4 - 5) / 2 = -0.5

Then, using the fact that the total area under a normal distribution curve is 1, we can find the probability of both events occurring:

P(|X - 5| > 1) = P(X > 6 or X < 4) = P(Z > 0.5 or Z < -0.5)

Since the standard normal distribution is symmetric around 0:

P(Z > 0.5 or Z < -0.5) = 2 × P(Z < -0.5)

Using a standard normal distribution table:

P(|X - 5| > 1) = 0.3829

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(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer:

The number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.

Absolute value of any number is simply the distance of that number from point zero (0) on a number line.

Thus,

-6 is 6 units from 0.

6 is also 6 units away from 0.

-5 is 5 units from 0.

5 is also 5 units from 0.

The absolute value of -5 is 5.

The absolute value of -6 is 6.

Therefore, the number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.

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Step-by-step explanation:

If the width and length of the rectangle are 3 cm and 7 cm. Then the perimeter of the rectangle is 10 cm.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Let L be the length of the rectangle and W be the width of the rectangle.

Then we have

4W + 3L = 33 ...1

 2W + L = 13 ...2

Then by the equations 1 and 2, we have

W = 3 and L = 7

Then the perimeter of the rectangle will be

Perimeter = W + L

Perimeter = 3 + 7

Perimeter = 10 cm

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If points d and f are on side ab and points e and g are on side ac then line segments de and fg are parallel

What are parallel lines?

Parallel lines are those lines that do not meet at any point. If we draw a triangle ABC and plot points d and f are marked on side ab and points e and g are marked on side ac then the line segment fg is parallel to de because both the line segments are drawn from the points which are on the sides opposite to each other. We have assumed a simple triangle because no description is given for the triangle

Hence the line segment fg is parallel to de if drawn points d and f marked on ab and points e and g are marked on ac.

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Answer:

The investor will earn $875 over the course of 3.5 years.

Step-by-step explanation:

Sounds like simple interest (not compound interest).

The appropriate formula is i = prt, which here is

i = $5000(0.05)(3.5) = $875

The investor will earn $875 over the course of 3.5 years.

Answer:

105 sq cm

Step-by-step explanation:

The bottom rectangle is 6 x 15 = 90 sq cm

The triangle at the top has a length of 15 - 9 = 6 cm and a height of 11 - 6 = 5 cm.

A triangle is 1/2bh so 1/2 x 6 x 5 = 15 sq cm

Add the areas together

The solution of the linear equation, 4·x - 37 = 2·x + 7, found using the collection of like terms, is; x = 22

A linear equation is an equation of the form, y = m·x + c, that has the highest index or power of one (1), and for which the graph of the equation is a straight line.

The expressions, 4·x - 37 and 2·x + 7 are linear expressions
Whereby the equation is 4·x - 37 = 2·x + 7, we get;

4·x - 37 = 2·x + 7

Collecting like terms, produces

4·x - 2·x = 7 + 37 = 44

2·x = 44

Dividing both sides by 2, we get;

2·x/2 = x = 44/2 = 22

x = 22

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Answer:

d = 6

Step-by-step explanation:

\(-6-d=-2d\\\\-6+6-d=-2d+6\\\\-d=-2d+6\\\\-d+2d=-2d+2d+6\\\\\boxed{d=6}\)

Hope this helps.

The product of the radical expression is  - 49 + 13√7. option B is the correct answer

From the question, we have

(7-√7)(-6+√7)

= (7) × (-6) + (-√7) × (√7) + (-√7) × (-6) + (7)(√7)

= -42 - 7 + 6√7 + 7√7

= - 49 + 13√7

The product of the radical expression is  - 49 + 13√7

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

the 3rd 4th and 5th answers are true

Step-by-step explanation:

just substitute the points into the equations.

first equation, substitute the points 2,8 into the equation.  2 + 2(8) = 20.

2 + 16 = 20

18 = 20 is not a true statement.

second equation, substitute the points -1,5 into the equation.  -1 + 2(5) = 10.

-1 + 10 = 10

9 = 10 is not a true statement.

third equation, substitute the points 7,7 into the equation. 2(7) - 7 = 7.

14 - 7 = 7

7 = 7 is a true statement.

fourth equation, substitute the points 7,-7 into the equation. 3(7) + -7 = 14.

21 + -7 = 14

14 = 14 is a true statement.

fifth equation, substitute the points 1, 1 into the equation. 2(1) + 6(1)  = 8.

2 + 6  = 8

8 = 8 is a true statement.

Answer:

A. C=100+2.5n

Step-by-step explanation:

if u sub in the number of shirts into the equation for example 20

100+2.5(20)

100+50

=150 which is the amount of money it creates

Answer:

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .

Step-by-step explanation:

i google this l M A O

A rational function's domain includes all real numbers x except those with a denominator of zero.

A function assigns the value of each element of one set to the other specific element of another set.

A rational function's domain includes all real numbers x except those with a denominator of zero. To locate these x values that are not in the domain of a rational function, set the denominator to zero and solve for x.

Hence, A rational function's domain includes all real numbers x except those with a denominator of zero.

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Answer:

eighty four 84 84 84 84 84

Answer:

84

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

Hi

The value of the expression is a decimal -17.33.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

0.3x = -5 - (-0.4 - (-0.6))

0.3x = -5 - (-0.4 + 0.6)

0.3x = -5 - 0.2

0.3x = -5.2

x = -5.2/0.3

x = -17.33

Thus,

The value of x is -17.33.

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Answer:

its the one on the bottom left.

it has the proper demision just look at the sides and they match up

Hope This Helps!!!

Answer: The net which can represent the solid figure given in image 1 is the net in image 4.

Step-by-step explanation:

Refer the attachment please

Hope it helps

Best of luck

letter of i's/number of letters in the word

3/14

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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The result of executing the code segment is -2

The complete question is added at the end of this solution as an attachment

The code in the question is given as

IF X > Y

  DISPLAY X + Y

ELSE

  DISPLAY X - Y

Given that

X = 3 and Y = 5

When x and y are compared, we have the truth value to be

Y > X

This means that the executed segment is

DISPLAY X - Y

So, we have

DISPLAY 3 - 5

Evaluate

DISPLAY -2

Hence. the displayed result is -2

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To calculate the probability of drawing two red cards, we need to consider the number of favorable outcomes (drawing two red cards) divided by the total number of possible outcomes.

Initially, there are 5 red cards and 8 blue cards, making a total of 13 cards For the first draw, Sarah has a 5/13 probability of drawing a red card since there are 5 red cards out of the total 13 cards.

After the first draw, there are 4 red cards remaining and a total of 12 cards left. Hence, for the second draw, Sarah has a 4/12 probability of drawing another red card.

To find the probability of both events occurring (drawing two red cards) without replacement, we multiply the probabilities of the individual events:

Probability of drawing two red cards = (5/13) * (4/12)

Simplifying the expression:

Probability of drawing two red cards = 20/156

The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 4:

Probability of drawing two red cards = 5/39

Therefore, the probability of Sarah drawing two red cards from the stack without replacement is 5/39.

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15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

76 units^2

Step-by-step explanation:

7x8=56

8x(3+2)x1/2=20

56+20=76