Find each probability.
Each item is NOT REPLACED.
5) A box contains 6 red and 5 blue pencils.
Choose a red one, keep it, and choose another
red one.
Total pencils:

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

y = 2x + 14

Step-by-step explanation:

First, you have to find the slope by using

y2-y1

x2-x1

In other words,

-2-6

-8+4

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

y-y1=m(x-x1)

Remember that m is the slope.

y+2=2(x+8)

Distribute the slope to the parenthesis

y+2=2x+16

Isolate the y variable

y=2x2x+14

please mark me as a brain list

Answer:

The mean of this sample is 203.

The variance of this sample is 3154.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

In this case:

\(M = \frac{192 + 113 + 200 + 287 + 225}{5} = 203.4\)

Rounding to the nearest whole number, 203.

Variance:

Sum of the difference squared between each value and the mean, divided by the number of values. So

\(V = \frac{(192-203.4)^2 + (113-203.4)^2 + (200-203.4)^2 + (287-203.4)^2 + (225-203.4)^2}{5} = 3153.8\)

Rounding to the nearest whole number, 3154.

The mean of this sample is 203.  The variance is 3154.

The variance of this sample is 3154.

Mean is given by,

\(M=\frac{192+113+200+287+225}{5}\)

M=203.4

Sum of all values divided by the number of values.

In this case:

\(M=\frac{192+113+200+287+225}{5}\\M=203.4\)

Rounding to the nearest whole number, 203.

Some of the differences squared between each value and the mean are divided by the number of values. So

\(V=\frac{(102-203.4)^2+(113-203.4)^2+.......+(225-203.4)^2}{5}\\V=3153.8\)

Rounding to the nearest whole number, 3154.

To learn more about the variance visit:

https://brainly.com/question/25639778

#SPJ5

[1, 3] - f is continuous on this interval.b) (1, 3) - f is continuous on this interval.c) [1, 2] - The left-hand limit of f does not exist at x = 2.d) (1, 2) - The left-hand limit of f does not exist at x = 2.e) [2, 3] - f is continuous on this interval. f ) (2, 3) - The right-hand limit of f does not exist at x = 2.

A function is a block of code that performs a specific task, and can be reused multiple times. Functions can be defined within a program, or can be imported from an external library or from another program. Functions are useful for abstracting away complex code, making it easier to read and debug. They can also help reduce code duplication and make code easier to maintain.

(a) [1, 3] – f is continuous on this interval since it is continuous at all points in the interval.

(b) (1, 3) – f is continuous on this interval since it is continuous at all points in the interval.

(c) [1, 2] – f is not continuous on this interval since it is not continuous at x = 2. The condition for continuity is not satisfied at this point.

(d) (1, 2) – f is not continuous on this interval since it is not continuous at x = 1. The condition for continuity is not satisfied at this point.

(e) [2, 3] – f is continuous on this interval since it is continuous at all points in the interval.

(f) (2, 3) – f is not continuous on this interval since it is not continuous at x = 2. The condition for continuity is not satisfied at this point.

To know more about function click-
brainly.com/question/25841119
#SPJ1

Complete questions as follows-

Answer:

30.7

Step-by-step explanation:

sin(71) = 29/x

x = 29/sin71

≈ 30.7

Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula \(y = kx\)

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

De el modelo lineal, hay que:

a) El precio de venta es de $2,100.

b) Si depen producir y vender 8.57 desayunos para no tener ni ganancias ni pérdi- das.

c) El nuevo benecio es $1,840.

-----------------

Un modelo lineal tiene el seguiente formato:

\(y = mx + b\)

Costo constante mensual de $12000.

O sea, \(b = 12000\)

Puesto que:

\(C(x) = mx + 12000\)

El costo total de fabricación de 10 desayunos  es $19000.

O sea, cuando \(x = 10, C = 19000\), y usa-se esto para encontrar m.

\(19000 = 10m + 12000\)

\(10m = 7000\)

\(m = 700\)

Entonces, la función del costo es:

\(C(x) = 700x + 12000\)

Item a:

El costo de 16 servicios es:

\(C(16) = 700(16) + 12000 = 23200\)

Benecio de $10,400, o sea, las ganancias fueran de 23200 + 10400 = 33600.

El precio de venta es:

\(p = \frac{33600}{16} = 2100\)

De modo que la ganancia de la venta de x servicios es:

\(G(x) = 2100x\)

Item b:

Para esto, hay que:

\(G(x) = C(x)\)

\(2100x = 700x + 12000\)

\(1400x = 12000\)

\(x = \frac{12000}{1400}\)

\(x = 8.57\)

Si depen producir y vender 8.57 desayunos para no tener ni ganancias ni pérdi- das.

Item c:

El costo de 8 desayunos es:

\(C(8) = 700(8) + 12000 = 17600\)

Bajando el costo en 15%, sera 85%, o sea:

\(0.85(17600) = 14960\)

La ganancia es:

\(G(8) = 2100(8) = 16800\)

Lo benecio es:

\(B(8) = G(8) - 0.85C(8) = 16800 - 14960 = 1840\)

El nuevo benecio es $1,840.

Un problema similar es dado en https://brainly.com/question/15723794

The asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.

What is the standard position of angles?

Standard position simply means that the vertex of the angle is at the origin of the circle and that one ray of the angle is on the positive x-axis. The other ray of the angle is placed at the angle measure formed by traveling counter-clockwise along the circle.

To draw an angle in standard position with measure 8/3 π, follow these steps:

Start with the positive x-axis.

Counterclockwise, rotate the initial side of the angle until it coincides with the positive x-axis.

Starting from the initial side on the positive x-axis, rotate the terminal side of the angle in a counterclockwise direction until the angle measures 8/3 π.

The resulting angle will have a measure of 8/3 π and will look like the following:

       |

       |

--------*-----------

       |

       |

Here, the asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.

To learn more about the standard position of angles visit:

https://brainly.com/question/19882727

#SPJ1

Answer:

2

Step-by-step explanation:

good right solve and rate my answer

9514 1404 393

Answer:

  61.4

Step-by-step explanation:

The length of two semicircles of diameter 10 is the circumference of a circle of that diameter:

  C = πd = 10π ≈ 31.4

The perimeter includes that length plus the lengths of two straight sides that are 15 units each.

  P = 31.4 + 2×15

  P = 61.4 . . . . units

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

Answer:

parallelograms are quadrilateral shapes with 2 pairs of parallel sides

the opposite facing side of a quadrilateral is the same length as the side facing it.

Step-by-step explanation:

Answer:

  (c)  5.00×10^-5 kg

Step-by-step explanation:

The mass and energy are related by Einstein's formula E = mc².

__

Solving for mass in kg, we find it to be ...

  m = E/c² . . . . . . . . where E is in joules, and c is in meters/second

  m = (4.50×10^12 J)/(3×10^8 m/s)² = 5.00×10^-5 kg

The lost mass was about 5.00×10^-5 kg.

Answer:

5.00×10^−5 kg

Step-by-step explanation:

I took the test and it was correct! PLEASE LIKE  and have a wonderful day!

Answer:

43.6 has 3 significant figures.

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

More can be learned about the circumference of a circle at brainly.com/question/12823137

#SPJ1

Answer:

Grams of Peanuts = 52.5

Grams of Raisins = 210

Step-by-step explanation:

14/4 = 3.5

21/6 = 3.5

30/5 = 3.5

3.5 · 15 = 52.5

3.5 · 60 = 210

Answer:

\(\theta = 148.8\)

Step-by-step explanation:

Given

\(R_x = -419\)

\(R_y = -253\)

\(R = 490\)

Required

Determine the value of \(\theta\)

Since, \(\theta\) is counter clockwise from x axis;

The relationship between \(\theta\), \(R_x\) and R is

\(cos\theta = \frac{R_x}{R}\)

Substitute values for Rx and R

\(cos\theta = \frac{-419}{490}\)

\(cos\theta = -0.8551\)

Take arccos of both sides

\(\theta = cos^{-1}(-0.8551)\)

\(\theta = 148.770784108\)

\(\theta = 148.8\) (Approximated)

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

For more such questions on spinner, click on:

https://brainly.com/question/32737567

#SPJ8

The decimal number is -5.690134489..... irrational number. Therefore, option C is the correct answer.

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

Here,

-9.121212121212......

This decimal number is non terminating, but repeating

So, the decimal number is rational number

-1.5000000000.....

This decimal number is non terminating, but only zeros are repeating

So, the decimal number is rational number

-5.690134489.....

This decimal number is non terminating and non repeating

So, the decimal number is irrational number

-9.121212121212....

This decimal number is non terminating, but repeating

So, the decimal number is rational number

Therefore, option C is the correct answer.

To learn more about the irrational numbers visit:

https://brainly.com/question/4031928.

#SPJ1

The scenarios that demonstrate a proportional relationship for each person's income are :

Consider the income as y in each scenario

Scenario 1

Millie works at a car wash and earns $17.00 per car she washes.

Consider the number of car she washes as x

y = 17x

y ∝ x

This is a proportional relationship

Scenario 2

Bryce has a cleaning service and charges $25.00 plus $12.50 per hour.

The relationship will be

y = 25 +12.50x

where x is the number of hours

This is not a proportional relationship

Scenario 3

Carla makes sandwiches at her job and earns $7.85 per hour.

The relationship will be

y = 7.85x

y ∝ x

Where x is the number of hours

This is a proportional relationship

Scenario 4

Tino is a waiter and makes $3.98 per hour plus tips.

The relationship will be

y = 3.98x + tips

Where x is the number of hours

This is not a proportional relationship

Hence, the scenarios that demonstrate a proportional relationship for each person's income are

Learn more about proportional relationship here

brainly.com/question/13457626

#SPJ1

Answer:

The answer is 18:45

Step-by-step explanation:

45/15=3

6*3=18

Perimeter of the parallelogram = 210 in.

Area of parallelogram = 2,484 in.²

Perimeter of parallelogram = 2(a + b), where a and b are its sides.

Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.

Given:

a = 51 in.

b = 54 in.

h = 46 in.

Perimeter of the parallelogram = 2(54 + 51) = 210 in.

Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²

Learn more about parallelogram on:

https://brainly.com/question/3050890

#SPJ1

Answer: 16.5 gallons of water.

Step-by-step explanation:

If it was me. I would be setting up as a table to keep my work organized.

So first we find how much 1 minute is.

15g : 10m

15/10 : 10m/10

1.5g : 1m

Then I multiply how many minutes there are.

1.5g x 11 : 1m x 1

16.5g : 11m

And there we find the answer of 16.5 gallons.

Happy Solving

Answer:16.5

Step-by-step explanation:

Answer:

Points F, J, and H are collinear

Step-by-step explanation:

just took exam

The statement F, J, and H are collinear is not used to prove that ΔFGH is similar to ΔFIJ.

We have to find out which statement is wrong regarding ΔFGH is similar to ΔFIJ.

Here the statement points F, J, H are collinear are not used to prove the similarity of both triangle because if these three points are collinear than there is no triangle possible and when there is no triangle than how we prove similar to them.

So when F,J and H are collinear than we can't prove similar to both the triangles.

But in all the other points we can prove the similarity of both the triangles.

Hence the statement F, J, and H are collinear is not used to prove that ΔFGH is similar to ΔFIJ.

For more details on Similarity theorem follow the link:

https://brainly.com/question/21247688

Option III "E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise." is a correct multiple regression equation that can be used to analyze these data. So the option III is correct.

Randomized design involving four treatments: A, B, C, and D.

So total number of treatments = 4(A, B, C, D)

So the number of dummy variable is required = 4 - 1

The number of dummy variable is required = 3

The three variables would be x₁ x₂ and x₃ and the fourth treatment scenario would be represented if all three were zero.

So the option III is correct because this is a correct multiple regression equation because it contains all the necessary components to define a linear regression model.

Specifically, it contains a dependent variable (y), a constant (B₀), and three independent variables (x₁, x₂, x₃). Additionally, each of the independent variables is either assigned a value of 1 or 0 depending on the treatment, which is how a linear regression model is typically constructed.

To learn more about multiple regression equation link is here

brainly.com/question/14184702

#SPJ4

The complete question is:

Consider a completely randomized design involving four treatments: A, B, C, and D. Select a correct multiple regression equation that can be used to analyze these data. Define all variables.

I. E(y) = B₀ + B₁ x₁ x₂ x₃ x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

II. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃ + B₄x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

III. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise.