19.A bag contains 8 blue coins and 6 red
coins. A coin is removed at random and replaced by three of the other color.
What is the probability that the removed coin is blue?

Answer: The answer is 12

Step-by-step explanation:

Answer:

No, the Normal/large sample condition is not met. A confidence interval assumes that the underlying population follows a normal distribution and that the sample size should be at least 30. Since the sample size in this case is only 10, the Normal/Large Sample condition is not met and the conditions for constructing a confidence interval are not met.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

49

Step-by-step explanation:

the number a negative so you basically subtracting

Answer:

49

Step-by-step explanation:

When adding a negative to a positive, you pretty much just throw away the plus sign. Subtract 15 from 64, and you will get your answer. This is the easiest way to think about it. :)

Answer:

A' (7,7)

B' (10,4)

C' (6,5)

Step-by-step explanation:

Add 9 to every x value and 3 to every y value.

Answer:

A'(7,7)

B'(10,4)

C'(6,5)

Step-by-step explanation:

⭐What is a translation?

⭐What is the translation notation?

The problem tells us to translate ΔABC 9 units to the right, and 3 units up because it is inside the <>, and the numbers are positive.

To translate the vertices of ΔABC, we have to add the respective x and y coordinates of the translation rule to each vertecie of ΔABC.

A(-2,4):

B(1,1):

C(-3,2):

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Explanation

The question wants us to express the value of

As a percentage

To do so, we will simply multiply the value by 100% so that

Therefore, the answer is 71.437419575 %

Answer:

The correct answer is D. y = 3.35x + 73.96.

Step-by-step explanation:

D. y = 3.35x + 73.96

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

The area of the shaded segment of the circle is,

A = 8,820 cm²

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

Radius of circle = 12 cm

We know that;

Area of a segment of circle is,

A = r² / 2 (πθ/180 - sin θ)

Here, We have;

θ = 120°

r = 12 cm

Hence, We get;

Area of a segment of circle is,

A = r² / 2 (πθ/180 - sin θ)

A = 120²/2 (3.14 × 120/180 - sin120)

A = 7200 (2.09 - √3/2)

A = 7200 (2.09 - 0.87)

A = 8,820 cm²

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Answer:

5

Step-by-step explanation:

Q is asking how many (1/3)s are in (15/8):

(15/8) / (1/3)

(to divide fractions, flip the second fraction over and then multiply)

(15/8) * (3/1)

(15 * 3) / (8*1)

45/8

=5.625

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

The number of different ways the coach can pick up the line of the game is 792 ways

Step-by-step explanation:

Let n- number of players, r-selection of players.

We can select them using Combination: nCr = 12C5

Combination formula nCr =\(\frac{n!r!}{ (n-r)!}\)  = 12C5 = \(\frac{12!5!}{(12-5)! }\)

=\(\frac{12!5!}{ 7!}\)

= 792ways

The number of different ways the coach can pick up the line of the game is 792 ways.

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Answer:

D) 14

Step-by-step explanation:

Absolute value |x| is defined as the distance x from 0.

Basically, whatever is in the absolute value sign cannot be negative

Answer:

Step-by-step explanation:

Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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Answer:

Garret can complete 7 full laps in 1 hour :)

Step-by-step explanation:

The closest option to the cone area is 923.2 m². 

A cone is a shape formed from a series of line segments or lines that connect a common point, called a vertex or vertex, to all points on the base of a circle that do not contain vertices. The distance from the apex of the cone to the base is called the height of the cone.

To solve this problem, we need to find the surface of the cone. Formula for the surface area of cone:

A = \(\pi\)r² + \(\pi\)rℓ

where r is the radius of the base, ℓ is the height of the depression, and π is a constant of approximately 3.14159.

First, we find the radius of the base. Since the bottom line of the cone is listed as 18 feet and we know the radius is 14 feet, we can use the Pythagorean theorem to find the height of the cone.

h² = ℓ² - r²

h² = 19.3² - 14²

h ≈ 11.48 feet

Now we can compute the surface.

A = \(\pi\)(14)² + \(\pi\)(14)(19.3)

A ≈ 923.2 square feet

So the closest option to the cone area is 923.2 m². 

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Answer:

£2348.48

Step-by-step explanation:

We can use the “slow method” for this, seeing it’s only 3 years.

£2000 * 105.5% = 2110 * 105.5% = 2226.05 * 105.5% = 2348.48

(105.5% = 1.055, by the way)

After the initial calculation, you can use Ans * 1.055 until you’ve hit the three years.

Answer:

option b

Step-by-step explanation:

fourth degree trinomial

Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Answer: some perfect cubes are

8 (2^3)

27 (3^3)

64 (4^3)

there are many perfect cubes

maybe there is more to this question?

Step-by-step explanation:

A perfect cube of a number is a number that is equal to the number, multiplied by itself, three times. If x is a perfect cube of y, then x = y3. Therefore, if we take the cube root of a perfect cube, we get a natural number and not a fraction. Hence, 3√x = y. For example, 8 is a perfect cube because 3√8 = 2.

Answer:

facts

Step-by-step explanation:

Answer:

\(y= 9/4x+5\)

Step-by-step explanation:

I'll go over #7 and you should be able to do the rest.

Slope intercept form general equation is:

y = mx + b

I bolded the value you need to change/find.

m is the slope

b is the y-intercept

You can calculate m using:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

you're given (-4,-4) and (0,5) so y₂=5, y₁=-4, x₂=0, x₁=-4

\(m=\frac{5-(-4)}{0-(-4)}=9/4\)

Plug your value into the point-slope formula.

\(y = m(x-x_1)+y_1\)

\(y = (9/4)(x-(-4))+(-4)\)   simplify it

\(y= 9/4x+5\)  the simplified form is the slope-intercept formula

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

The graph is showing the equation of circle x²+y²=4

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

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