Find the equation of the line that passes through the points (4, -2) and (3, -1).

Answer:

0.8358 = 83.58% probability of reaching into the box and randomly drawing a chip number that is smaller than 627

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

There are 750 identical plastic chips numbered 1 through 750 in a box

This means that \(a = 1, b = 750\)

What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 627?

\(P(X < x) = \frac{627 - 1}{750 - 1} = 0.8358\)

0.8358 = 83.58% probability of reaching into the box and randomly drawing a chip number that is smaller than 627

Answer:

So happy you are with brainly

Step-by-step explanation:

34

Answer:

v = 22.59

Step-by-step explanation:

all you need is contained in this sheet

Answer:

Step-by-step explanation:

Answer: it shifts units to the right.when h=-π it shifts units to the left

Step-by-step explanation: positive pi goes to the right, negative to the left

Answer:

3, -3

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Answer:

121.5

Step-by-step explanation: so what u are supost to do is multiply the sides which will give you your answer of 121.5.

Answer:

\(area = (l \times w) \\ = (13.5 \times 9) \\ = 121.5 \: {inches}^{2} \)

Answer:  see below

Step-by-step explanation:

Speed = | Velocity |

4.

   Velocity         -14   20   -2    0    25    -15

   Speed             14   20    2    0    25     15

5.

   Velocity         -16   16

    Speed            16   16

6.

    3 is greater then -4

       |---------|---------|

     -4         0         3

7.

    A velocity of -4 has a greater speed than a velocity of 3

  Velocity        -4     3

  Speed            4     3  

Answer:

20

Step-by-step explanation:

2 1/2 = 5/2

(5/2)/(1/8) = 20

Answer:

Step-by-step explanation:

\(\large\underline{\sf{Solution-}}\)

\(\rm \: \cos \bigg( \dfrac{3\pi}{2} + x \bigg) \cos \: (2\pi + x) \bigg \{ \cot \bigg( \dfrac{3\pi}{2} - x \bigg) + cot(2\pi + x) \bigg \}cos(23π+x)cos(2π+x)\)

\(\rm \: \cos \bigg( \dfrac{3\pi}{2} + x \bigg) = sinx\)

\(\rm \: {cos \: (2\pi + x) }\)

\(\rm \: \cot \bigg( \dfrac{3\pi}{2} - x \bigg) \: = \: tanx\)

\(\rm \: cot(2\pi + x) \: = \: cotx\)

So, on substituting all these values, we get

\(\rm \: = \: sinx \: cosx \: (tanx \: + \: cotx)\)

\(\rm \: = \: sinx \: cosx \: \bigg(\dfrac{sinx}{cosx} + \dfrac{cosx}{sinx} \)

\(\rm \: = \: sinx \: cosx \: \bigg(\dfrac{ {sin}^{2}x + {cos}^{2}x}{cosx \: sinx}\)

\(\rm \: = \: 1=1\)

\(\boxed{\tt{ \cos \bigg( \frac{3\pi}{2} + x \bigg) \cos \: (2\pi + x) \bigg \{ \cot \bigg( \frac{3\pi}{2} - x \bigg) + cot(2\pi + x) \bigg \} = 1}}\)

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Sign of Trigonometric ratios in Quadrants

Step-by-step explanation:

Hence,

\(\boxed{\tt{ \cos \bigg( \frac{3\pi}{2} + x \bigg) \cos \: (2\pi + x) \bigg \{ \cot \bigg( \frac{3\pi}{2} - x \bigg) + cot(2\pi + x) \bigg \} = 1}}\)

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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Answer:

irrational number

Step-by-step explanation:

It is a non-recurring continuous decimal number

Answer:

Irrational and 3.14159

Step-by-step explanation:

t

Answer:

q=0.5 or 1/2

Step-by-step explanation:

5q-21/14=1

add 21/14 to both sides

5q=2.5

divide both sides by 5

q=0.5 or 1/2

The price of a game that's been discounted 18% off its list price (x) = 0.18x

The price of a toy that sells for 18% more than the amount (x) needed to build the toy = 1.18x

The volume of water remaining in a tank after 3/10 of its original volume (x) is drained out = 7/10x

The total amount of flour in a bakery after receiving new stock equal to 3/10 if its current stock (x) = 13/10x

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Because if we substitute the value of x,y and z we get

x+y=z

5+3=53(FALSE)

Answer and Step-by-step explanation:

No, this equation is not true. But in order to show this, we need to write out the equation. So if x = 5, and y = 3, then the equation for this equation would look like this:

5 + 3 = 8.

That is incorrect because 5 + 3 does not equal 53. This is a trick question that is trying to trick you. Now if that 5 was a 50, then this equation would be true.

So, 5 + 3 ≠ 53.

I hope that this helps.

Answer:

the answer to the question is 3%

Answer:

the answer is D:)

Step-by-step explanation:

Answer:

113.04 sq

Step-by-step explanation:

Diameter= 12, Radius = 12÷2 = 6

Area = πr^2

Area = 3.14×(6)^2

Area = 3.14×36

Area = 113.04 sq.

The perimeter of a triangle is the sum of the lengths of its three sides.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

In the case of triangle HGI, the perimeter is calculated by adding the three side lengths together. For example, if the three sides are labeled a, b, and c, the perimeter would be calculated as a + b + c.

The perimeter of triangle HGI can be calculated by knowing the lengths of its three sides. If the lengths of the three sides are 7, 8, and 9 units respectively, the perimeter of triangle HGI is 7 + 8 + 9 = 24 units.

The perimeter of triangle HGI can also be calculated using the Pythagorean Theorem if the lengths of two sides and the measure of the included angle are known. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. Using this theorem, the lengths of the other two sides can be calculated if the length of one side and the measure of the included angle is known.

In summary, the perimeter of triangle HGI can be calculated by adding the lengths of its three sides or by using the Pythagorean Theorem if the lengths of two sides and the measure of the included angle are known.

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The ratio of girls to boys in the class is 3:7.

To calculate the ratio of girls to boys in the class, we need to determine the number of girls in the class.

Given that there are 50 students in total and 35 of them are boys, we can find the number of girls by subtracting the number of boys from the total number of students:

Number of girls = Total number of students - Number of boys

Number of girls = 50 - 35

Number of girls = 15

Now that we know there are 15 girls in the class and 35 boys, we can calculate the ratio of girls to boys.

Ratio of girls to boys = Number of girls / Number of boys

Ratio of girls to boys = 15 / 35

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 5:

Ratio of girls to boys = (15 ÷ 5) / (35 ÷ 5)

Ratio of girls to boys = 3 / 7

This means that for every 3 girls, there are 7 boys in the class. The ratio provides a relative comparison of the number of girls to the number of boys, helping to understand the gender distribution within the class.

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Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

To get the Prime factorization of 3000 we need to multiply by 5.

When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.

For example, the Prime factorization of 45 is given below

=> 45/5 = 9, 9/3 = 3,  3/3 = 1

=> 45 = 5 × 3 × 3

Here we have

The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5

Let us assume that on multiplying with p,

we will get the factorization of 3000

=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000

=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)  

Her 2 x 2 × 2 × 3 × 5 × 5 = 600

=> p = \(\frac{3000}{600}\)

=> p = 5  

Therefore,

To get the Prime factorization of 3000 we need to multiply by 5.

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