2. Jimmy is an electrician. He charges a flat fee of S22 for each visit In addition, he charges $25 for each hour. Onajoo at Bob's place he worked for h hours. Select an expression that reflects what Boo would have to pay for the job.

The value not in the solution is x = -10.2

The inequality expression is given as:

-4x - 6.8<34

Add 6.8 to both sides of the inequality

So, we have:

-4x < 40.8

Divide both sides by -4

x > -10.2

This means that only values greater than -10.2 are in the solution set

Hence, the value not in the solution is x = -10.2

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Answer:

Step-by-step explanation:

Given the coordinate points (2, 6) and (5, 0)

We are to find the equation of the line passing through the points

The standard form of the equation is expressed as y = mx+c

m is the slope

c is the y intercept

Get the slope

m = y2-y1/x2-x1

m = 0-6/5-2

m = -6/3

m = -2

Get the intercept

Substitute m = -2 and the point (5, 0) into the equation y = mx+c

0 = -2(5) + c

0 = 10 + c

c = 10

Get the equation

Recall that y = mx+c

y = -2x + 10

Hence the required equation is y = -2x + 10

Answer:

$ 3,062.61

Step-by-step explanation:

Account Balance= 2,500(1+ .07/1)^3

according to defination of collinear points :Three or more points are said to be collinear if they all lie on the same straight line.

therefore, A,B,C points are collinear.

Answer:

70

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation format of the circle is \((x-x_{0} )^2 +(y-y_{0} )^2 = r ^2\)

In this case, r is the radius and \(r^{2}\) is equal to 16

Thus the radius is 4. The diameter is double the radius so the diameter is 8

Answer:

Choice B, 90

Step-by-step explanation:

Answer:

The missing side is 10.25

Step-by-step explanation:

Step 1: Use Pythagorean Theorem

\(11^{2} = 3.9^{2} + x^{2} \\121 = 15.21 + x^{2}\\121 - 15.21 = x^{2} \\105.79 = x^{2} \\\sqrt{105.79} = \sqrt{x^{2} } \\x = 10.285\)

Therefore the missing side is 10.285

Answer

B. 500 pi

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

When a line is between two numbers, it means half of the other number. If a bar is between 0 and 2, the value is 1. (for 4-7) 12-15 is at 8.

Subtract 8 - 1 = 7

Answer:

code lazar

Step-by-step explanation:

According to Weber's law, two items must differ in weight by "5 percent"of weight in order to detect a difference.

We are given that Weber's law

For weight discrimination, Weber’s law states that the JND is proportional to the weight of the stimulus.

The JND is defined as the smallest difference between two weights that can be detected by an observer.

The proportionality constant is known as Weber’s fraction and varies depending on the type of stimulus and the sensory modality involved.

For weight discrimination, Weber’s fraction is typically around 2-3%.

This means that two items must differ in weight by approximately 2-3% of their weight in order to detect a difference.

The difference of weight in percent is 5%, the correct option is A.

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Answer:

15xy-6x+5y-2

15xy+5y-6x-2

5y(3x+1) -2(3x+1)

(we pick one out of the (3x+1) brackets.

your final answer becomes:

(5y-2)(3x+1)

Answer:

(5y - 2)(3x + 1)

Step-by-step explanation:

Let's focus on those first two terms, 15xy and 6x. They have two factors in common, an x and a 3, giving them a greatest common factor of 3x. If we factor that out, the expression 15xy - 6x becomes 3x(5y - 2). Substituting that into our original expression, we get the new expression

\(3x(5y-2)+5y-2\)

Let's group those last two terms to make our next step clearer:

\(3x(5y-2)+(5y-2)\)

Now, each term has the factor (5y - 2) in common. We can pull it out to get the fully factored expression

\((5y-2)(3x+1)\)

Answer: n= −28 /61

Step-by-step explanation:

Answer:

Step-by-step explanation:

 4      = 2

n + 9      7

cross multiply:

7 (4) = 2n + 2 (9)

simplify:

28 = 2n + 18

28 - 18 = 2n

simplify:

n = 10

      2

n = 5

Answer:

\(\Huge\boxed{Area=565.5m^2}\)

Step-by-step explanation:

Hello there!

To solve for the area we want to split the irregular figure into two regular figures

A triangle with a base of 29 m and a height of 19m and

A rectangle with a width of 10 m and a length of 29 m

now we solve for the area of each individual shape

For the triangle:

The formula for area of a triangle is

\(A=\frac{1}{2} bh\) where b = base and h = height

we know what the dimensions are so all we have to do is plug in the values

\(A=\frac{1}{2} 19*29\\19*29=551\\\frac{551}{2} =275.5\\A=275.5\)

so we can conclude that the area of the triangle part is 275.5 m²

Now lets find the area of the rectangle

to find the area of a rectangle we just multiply the length and width

so A = 10 x 29

10 x 29 = 290

so the area of the rectangle is 290 m²

Finally we add the two areas together

290 + 275.5 = 565.5

so we can conclude that the area of the irregular figure is 565.5 m²

Kelvin should fasten each piece of wood approximately 7.1 from the corner.

The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

a² + b² = c²

a = b

So,

2a²  = c²

a² = 100/2

a = \(\sqrt{50}\)

a = 7.1

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The statement "the sophists were principally concerned with mathematics, and formulated the so-called Pythagorean theorem" is not entirely accurate.

While the sophists were a group of philosophers who were known for their expertise in various subjects, including mathematics, they did not formulate the Pythagorean theorem. This theorem is named after Pythagoras, a philosopher and mathematician who lived in ancient Greece.The sophists were more concerned with rhetoric and the art of persuasion.

They were skilled at using language and arguments to influence others, and they often taught these skills to others for a fee. While they may have had some knowledge of mathematics, their primary focus was not on this subject.In fact, the Pythagorean theorem is traditionally attributed to Pythagoras and his followers, who were known as the Pythagoreans.

This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This is a fundamental concept in geometry, and it has many practical applications in fields such as engineering and physics.In conclusion, while the sophists may have had some knowledge of mathematics, their primary focus was on rhetoric and persuasion. The Pythagorean theorem is traditionally attributed to Pythagoras and his followers, not the sophists.

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The passage indicates that when the narrator began working for Edward Crimsworth, he viewed Crimsworth as a demanding mentor.

When it came to the narrator, Edward was a demanding mentor. He was harsh with the latter, and demanded his best performance, not settling for anything lesser.  There was no rivalry between them, neither a hint of alliance.  He certainly  wasn't sympathetic towards the latter.  

According to the passage, when the narrator first started working for Edward Crimsworth, he saw Crimsworth as a demanding mentor. Edward's judgement for his work did not dampen his call for perfection. Thus, options A, B and C are incorrect.

When the narrator began working for Edward Crimsworth, he viewed Crimsworth as a demanding mentor.

Therefore, the correct answer is option D) demanding mentor.

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To estimate the fraction of people who black out at 6 or more gs at 98% confidence level and an error of at most 0.03, a sample size of 1079 is required using the formula n = (2.33² * 0.5 * (1-0.5)) / 0.03², rounded up to the nearest integer.

To determine the sample size required to estimate the fraction of people who black out at 6 or more gs with an error of at most 0.03 and a 98% confidence level, we need to use the formula

n = (z² * p * (1-p)) / E²

where

n is the sample size

z is the z-score for the desired confidence level (2.33 for 98% confidence)

p is the estimated proportion of people who black out at 6 or more gs (unknown)

E is the maximum error (0.03)

We don't know the estimated proportion p, but we can assume that it is 0.5, which is the value that will give the maximum sample size. So, substituting the values into the formula, we get

n = (2.33² * 0.5 * (1-0.5)) / 0.03² = 1078.8

Rounding up to the nearest integer, we get a sample size of 1079. Therefore, a sample size of 1079 is required to estimate the fraction of people who black out at 6 or more gs at the 98% confidence level with an error of at most 0.03.

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Answer:

m∠1=131

m∠2=49

Step-by-step explanation:

Remember that a line is 180 degrees. To find the measure of angle 2 you will take 180-131= 49.

The measure of angle 1 matches to 131 degrees since it is an alternate interior angle.

Rectangle ABCD is not similar to rectangle PQRS because their corresponding sides are not proportional, so rectangle ABCD cannot be dilated to fit exactly over rectangle PQRS.

Similar polygons are polygons that share these two features presented as follows:

The ratio between the equivalent side lengths is given as follows:

Due to the different ratios, they are not proportional, and hence the rectangles are not similar.

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Answer:

(3, - 2 )

Step-by-step explanation:

The solution is at the point of intersection of the 2 lines

The lines intersect at (3, - 2 ) ← solution

Check by substituting  x = 3 into the left side of the given equation

- 2(3) + 4 = - 6 + 4 = - 2 ← True

Answer:

Graph is below

Step-by-step explanation:

I graphed the point on the graph below.

The graph that has the coordinate ( \(-4\frac{1}{2}\) , \(2\frac{1}{2}\)) is given.

Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane.

First we transform fraction to improper fraction.

( \(-4\frac{1}{2}\) , \(2\frac{1}{2}\))

= (-7/2 , 5/2)

Then further simplified to decimals,

( \(-4\frac{1}{2}\) , \(2\frac{1}{2}\))

= (-3.5 , 2.5)

Now to draw in the graph take x = -3.5 and y = 2.5

And draw lines from both of the point and see if there is any intersecting point.

The intersecting point is coordinate point.

Therefore, the intersecting point is coordinate point.

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Answer: \(1/6\)

Step-by-step explanation:

The probability of getting a head is 1/2.

The probability of getting a number less than 3 is 1/3.

Since the events are independent, the probability is \((1/2)(1/3)=1/6\).

Answer-

Step by step explanation:

We know that perimeter of a triangle is equal to sum of the sides of a triangle.

So, we need to add the sides,

(6x - 1) + (5x + 16) + (3x + 40) = Perimeter of triangle

6x - 1 + 5x + 16 + 3x + 40

14x + 55

Answer: 38.48451

Step-by-step explanation:

The probability of having exactly 10 pedestrians crossing from left to right during a 2-minute period is extremely low, at approximately 0.00118%.

We can approach this problem by using the Poisson distribution, which describes the probability of a certain number of events occurring within a given time period, given a known rate of occurrence.

Let X be the number of pedestrians crossing from left to right during a 2-minute period. Since the arrival processes from the left and right sides are independent Poisson processes with rates λL and λR, respectively, we can model X as a Poisson random variable with rate λ = λL + λR = 6.

Therefore, the probability of having exactly k pedestrians crossing from left to right during a 2-minute period is given by the Poisson distribution:

P(X = k) = (e^(-λ) * λ^k) / k!

Now we want to find the probability that in a particular crossing, there are a total of 10 pedestrians crossing from left to right. Let Y be the total number of pedestrians crossing in both directions during a 2-minute period.

Since the arrival processes from the left and right sides are independent, we can model Y as a Poisson random variable with rate 2λ = 12.

Since we know that there are 10 pedestrians crossing from left to right, there must be a total of 10 pedestrians crossing in both directions. Therefore, we want to find the probability that out of the 10 pedestrians, exactly 10 of them are crossing from left to right.

We can use the binomial distribution to calculate this probability. Let Z be the number of pedestrians crossing from left to right out of the 10 pedestrians. Since each pedestrian has an independent probability of crossing from left to right of 1/2, we have:

P(Z = 10) = (10 choose 10) * (1/2)^10

= 1/1024

Therefore, the probability that in a particular crossing, there are a total of 10 pedestrians and they are all crossing from left to right is:

P(X = 10, Y = 10) = P(X = 10) * P(Z = 10)

= (e^(-6) * 6^10 / 10!) * (1/1024)

≈ 0.0000118

Writing this probability in percentage gives = 0.0000118 x 100% = 0.00118%

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Complete question is:

Pedestrians approach a crossing from the left and right sides following independent Poisson processes with average arrival rates of λL = 5 and λR = 1 arrivals per minute. Each pedestrian then waits until a light is flashed, at which time all waiting pedestrians must cross to the opposite side (either from left to right or from right to left). Assume that the left and right arrival processes are independent, that the light flashes every T = 2 minutes, and that crossing takes zero time – it is instantaneous.

1. What is the probability that in a particular crossing, there are total 10 pedestrian and they are all crossing from left to right?

Answer:

392

Step-by-step explanation:

40% of 980 = 0.4 × 980 = 392

Answer:

answer is 392

Step-by-step explanation: