A jar contains 6 red balls, 3 green balls, 5 white balls and 7 yellow balls. Two balls are chosen from
the jar, with replacement. What is the probability of choosing a red and then a yellow ball?

Answer:

5/10

Step-by-step explanation:

hope this helped

Answer:

Its A

Step-by-step explanation:

The dimensions of the garden would be length = 28 meters and width = 9.5 meters.

What are quadratic equations?

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, and b, are the coefficients, c is the constant term, and x is the variable. Since the variable x is of the second degree, there are two roots or answers for this quadratic equation.

Let the width be = w

Let the length be = L

enclose three side ( 2w+L) = 47 meter

L = 47-2w

Area of field = w*L

Area = w(47 - 2w)

266  = 47w - 2w²

2w² - 47w + 266 = 0

Solving this, we get

w = 14 or w = 9.5

The width should be less than the length so w = 9.5
Length = 47 - 2(9.5)

            = 47 - 19

            = 28 meters.

Hence, the dimensions of the garden would be length = 28 meters and width = 9.5 meters.

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Difference in the population mean strength of four different mixtures using a 2.5% level of significance. A 1% significance level test is performed to evaluate if there is evidence of a difference.

(a) In the first case study, a significance test is conducted at a 2.5% level of significance to determine if there is a significant difference in the population mean strength of four different mixtures. This involves comparing the variation between the groups (mixture means) and the variation within the groups (error) using an F-test.

(b) In the second case study, an ANOVA table is constructed to analyze the efficacy of three different washing fluids in reducing germ growth in 23-liter milk containers. The ANOVA table includes sources of variation such as washing fluids and error. The sum of squares, degrees of freedom, mean squares, and F-values are calculated. A 1% significance level test is then performed to determine if there is sufficient evidence to conclude that there is a difference between the population mean of each washing fluid.

For the third case study, an analysis of variance (ANOVA) is conducted at a 5% significance level to compare the mean lifetimes of three different brands of car batteries. The lifetimes of batteries from each brand are recorded for a sample of 15 cars divided into three groups. The ANOVA test examines the variation between the groups (brands) and within the groups (error) to determine if there is a significant difference in the mean lifetimes of the batteries for the three brands.

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Answer:  12.5%

Step-by-step explanation:  Find the difference , 81-72=9

      then find the percentage of the original score 9%   9/72 =  12.5

That adds up to the answer 12.5%

Hoped this helped :)

Step-by-step explanation:

The percent change formula is

\( \frac{new - old}{ |old| } = \frac{81 - 72}{ |72| } = \frac{9}{72} = 12.5\)

The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.

While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.

Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.

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Answer:

i believe that the correct answer is 128cm². my answer is explained in the picture attached

The required distance of object far from 25° and 55° are 103.71feet and 163.88feet respectively.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given the trigonometry identity;

d=94 secθ.

If the object is sighted at an angle of  25°, then;

d=94 sec25

d = 94 × 1/cos25

d = 94 × 1.1033

d = 103.71feet

If the object is sighted at an angle of  55°, then;

d=94 sec55

d = 94 × 1/cos55

d = 94 × 1.7434

d = 163.88feet

Hence the required distance of object far from 25° and 55° are 103.71feet and 163.88feet respectively.

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On solving the system of linear equations 4x - 6y = 10 and 9x + 2y = 7, the value of x is x = 1 and y is y = -1.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The first linear equation is - 4x - 6y = 10

The second linear equation is - 9x + 2y = 7

Multiply equation (2) by 3 -

3(9x + 2y) = 7 × 3

27x + 6y = 21.....(3)

Add equation (1) and (3) -

4x - 6y + (27x + 6y) = 10 + 21

4x - 6y + 27x + 6y = 10 + 21

Combine the like terms -

31x = 31

x = 1

Substitute the value of x in equation (2) -

9(1) + 2y = 7

9 + 2y = 7

2y = 7 - 9

2y = -2

y = -1

Therefore, the values of x and y is x = 1 and y = -1 respectively.

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When we replace σ with the sample standard deviation (s), we introduce a new source of variability and the sampling distribution becomes is a. t-distribution.

This is because the sample standard deviation is an estimate of the population standard deviation, and therefore introduces a new source of variability into the sampling distribution.

The t-distribution is used to account for this additional variability and is used when the sample size is small or the population standard deviation is unknown. The t-distribution is similar to the normal distribution but has fatter tails to account for the additional variability.

Hence Option A is correct.

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The expression that is a cubic polynomial is (A) x³.

To determine which expression is a cubic polynomial, let's examine each option:

(A) x³: This expression represents a term with the variable x raised to the power of 3. It is a cubic polynomial since the highest power of the variable is 3.

(B) 3x + 3: This expression represents a linear polynomial since it contains the variable x raised to the power of 1. It is not a cubic polynomial.

(C) 2x² + 3x - 1: This expression represents a quadratic polynomial since it contains the variable x raised to the power of 2. It is not a cubic polynomial.

(D) 3x: This expression represents a linear polynomial since it contains the variable x raised to the power of 1. It is not a cubic polynomial.

Based on the analysis, the only expression that is a cubic polynomial is (A) x³.

Therefore, the expression (A) x³ is a cubic polynomial, while the other options are either linear or quadratic polynomials.

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Answer:

Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce

Step-by-step explanation:

divide the price by the the number of ounces.

2.55/12 = .21

1.45/8 = .18

Answer:

9

Step-by-step explanation:

\(\textbf{a)}\\\\3x^2 y^4 \cdot 2x^6 y \\\\=6x^{2+6} \cdot y^{4+1}\\\\=6x^8 y^5\\\\\textbf{b)}\\\\xz^3 \cdot 4x^4 z^5\\\\=4x^{4+1} \cdot z^{3+5}\\\\=4x^5 z^8\\\\\textbf{c)}\\\\4a^3b^2 \cdot 3a^6 b^5 \\\\=12a^{3+6}\cdot b^{2+5}\\\\=12a^9b^7\\\\\textbf{d)}\\\\6s^5t\cdot s^4 t^2\\\\=6s^{5+4} \cdot t^{2+1}\\\\=6s^9t^3\)

There were 357 dogs that were sold that day.

What is least squares regression line?

The line that best matches a linear connection between two variables in data is called a least-squares regression line because it minimizes the vertical distance between the data points and the regression line.

The given equation is,

y = 0.6p + 10.0

The residual for the day when 520 people attended was 35.

So, p = 520.

Plug 520 in the above equation, we get

y = 0.6(520) + 10.0

y = 312 + 10

y = 322

As, people attended was 35

So,

y = 322 + 35

y = 357

Hence, there are 357 dogs are sold that day.

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The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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Answer:

180 días.

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Buscamos y enumeramos los múltiplos de cada número hasta encontrar el primer múltiplo común.

Este primer múltiplo común es el mínimo común múltiplo.

Múltiplos de 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210

Múltiplos de 60:

60, 120, 180, 240, 300

Múltiplos de 90:

90, 180, 270, 360

Por lo tanto,

MCM (15, 60, 90) = 180

Por lo tanto, el número de días que mi pago se concede es de 180 días.

Answer:1/6                                                                                                                100% Correct

Answer:

The correct answer is B

Hope this helps

Answer:

11, 7,3

Step-by-step explanation:

common difference means what you do to the number to get the next term. So 15-4 is 11. Then 11-4=7 and 7-4 is 3

Answer:

Step-by-step explanation:

Given

DG = r+3

GM = 4r-28

DM = 45

Based on the given parameters the equation DM = DG+GM is true.

TI get the value of r we will substitute the given values into the expression;

r+3+4r-28 = 45

5r -25 = 45

5r = 45+25

5r = 70

r = 70/5

r = 14

Hence the value of r is 14

Answer: 14

Step-by-step explanation:

Answer:

y=4x+1

Step-by-step explanation:

1. 4x-y=2

  -y=-4x+2   divide both sides by -1

  y=4x-2

2. y-y1=m(x-x1)

   y-(-3)=4(x-(-1))

    y+3=4x+4

    y=4x+4-3

    y=4x+1

Parallel lines have the same, so the equation we are making should have the slope of 4.

Answer:

48

Step-by-step explanation:

use pemdas. first you do the exponents so you now have 8+8x5

then multiplication so now you get 8+40

then add to get your answer: 48

hope this helps :))

Answer:

Step-by-step explanation:

Play 1 they lose 4y

-4

Play 2 they lose 13y

-13

Total so far we have

-17

play three they gain 2y

-17+2=-15

Over the course of three plays the team loses 15 Yards.

Therefore, Caleb paid approximately $14,067.90 for the shares.

Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.

Selling price = 130% of the amount paid

$18,189.27 = 1.3 * x

To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:

x = $18,189.27 / 1.3

Calculating this, we find:

x ≈ $14,067.90

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The expected value of your net winnings, x, is $1.39.

To find the expected value of x (net winnings), first calculate the probability of each outcome and multiply it by the respective winnings. There are 6 sides on each die, so there are 36 possible outcomes (6 sides on red die * 6 sides on blue die).

1. Winning $5: Sum of 5, 6, or 8 has 4+5+5 = 14 successful outcomes. Probability = 14/36.
2. Winning $2: Sum of 4, 9, or 10 has 3+4+3 = 10 successful outcomes. Probability = 10/36.
3. Losing $4: Sum of 2, 3, 7, 11, or 12 has 1+2+6+2+1 = 12 successful outcomes. Probability = 12/36.

Now, multiply each probability by its respective winnings/loss and sum them to find the expected value of x:

E(x) = ($5 * 14/36) + ($2 * 10/36) + (-$4 * 12/36) = $1.39

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Answer:

true

Step-by-step explanation:

Answer:

44.6 °F ≤ T ≤ 59 °F

Step-by-step explanation:

Firstly, we need to convert from celsius to Fahrenheit

That would be;

F =(9/5 * C) + 32

For 15

we have F = (9/5 * 15) + 32

F = 27 + 32 = 59 °F

for 7

we have F = (9/5 * 7) + 32

F = 12.6 + 32 = 44.6 °F

So we now write the inequality. That would be;

44.6 °F ≤ T ≤ 59 °F

a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

y + 1/2 = (3/2)(x + 3)

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

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(-4) (5)= -20

I hope it's helpful

Jordan's average rate over the last 2 hours of her trip is 9 miles/hour.

To find Jordan's average rate over the last 2 hours of her trip,

we need to calculate the distance she traveled during that time period.

We know that Jordan was initially 20 miles away from her house and after 4 hours, she was 38 miles away. Therefore, she traveled a distance of 38 miles - 20 miles = 18 miles in the first 4 hours.

To find her average rate over the last 2 hours, we divide the distance traveled in those 2 hours by the time taken. The distance traveled in the last 2 hours is 18 miles (since she traveled 18 miles in the first 4 hours), and the time taken is 2 hours.

Average rate = Distance / Time

Average rate = 18 miles / 2 hours

Average rate = 9 miles per hour

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