Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation with the correct solution. 20 POINTS!!!

Answer:

The answer to your problem is, B. y=11.8x+29.2

Step-by-step explanation:

Determine the line of the best fit grpahically

Find the problem:

y = 11 x 8x + 29 x 2 B.

Answer:

11 and 8

Step-by-step explanation:

11+8=19

11-8=3

Answer:

8 and 11

Step-by-step explanation:

Answer:

The first and fourth statement.

Step-by-step explanation:

1. - 3 - 12/3 + 5

= - 3 - 4 + 5

= - 7 + 5

= - 2

- 2 < 0

4. 4 - 2 - 3/2

= 2 - 3 / 2

= 1 / 2

1 / 2 > 0

Hope this helped! ^^

Sidenote: If you need me to explain for 2, 3 and 5, comment below this and I'll explain.

\(\sf{\bold{\green{\underline{\underline{Given}}}}} \)

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\(\sf{\bold{\green{\underline{\underline{To\:Find}}}}} \)

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______________________

\(\sf{\bold{\green{\underline{\underline{Solution}}}}} \)

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W = 7a + 4b

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\(\sf \implies W - 4b = 7a \)

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\(\sf \implies \dfrac{W - 4b}{7} = a \)

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Option 1 :

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\(\sf \bigg( a = \dfrac{W - 4b}{7} \bigg) \neq \bigg( a = \dfrac{W - 7b}{4}\bigg) \)

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This option is not correct

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Option 2 :

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\(\sf \bigg( a = \dfrac{W - 4b}{7} \bigg) \neq \bigg( a = \dfrac{W}{7} - 4b \bigg) \)

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This option is not correct

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Option 3 :

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\(\sf \bigg( a = \dfrac{W - 4b}{7} \bigg) = \bigg( a = \dfrac{W - 4b}{7}\bigg) \)

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This option is correct

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Option 4 :

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\(\sf \bigg( a = \dfrac{W - 4b}{7} \bigg) \neq \bigg( W = \dfrac{W}{7} - 28b \bigg) \)

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This option is not correct

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The value of P(Ac ∩ B) is found using the complement rule is  0.6250 .The correct option is A) 0.6250

To find P(B | Ac ) given the events A and B in a sample space S, and where P(A) = 7⁄25, P(B) = 1/2, and P(A ∩ B) = 1/20, and we have to find P(B | Ac ), we follow the following steps:

Step 1: Find P(Ac) and P(Ac ∩ B)

Step 2: Find P(B | Ac )

We use the formula P(B|Ac) = P(Ac ∩ B) / P(Ac)

Step 1: Find P(Ac) and P(Ac ∩ B)

Using the complement rule, P(Ac) = 1 - P(A)P(Ac) = 1 - (7⁄25)P(Ac) = 18⁄25

Using the formula P(A ∩ B) = P(A) + P(B) - P(A ∪ B) to find P(A ∪ B),

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)P(A ∪ B) = (7⁄25) + (1/2) - (1/20)

P(A ∪ B) = (14⁄50) + (25/50) - (2⁄100)P(A ∪ B) = (39/50)

P(Ac ∩ B) = P(B) - P(A ∩ B)P(Ac ∩ B) = (1/2) - (1/20)

P(Ac ∩ B) = (9/40)

Step 2: Find P(B | Ac )P(B | Ac ) = P(Ac ∩ B) / P(Ac)

P(B | Ac ) = (9/40) / (18⁄25)P(B | Ac ) = 5/8P(B | Ac ) = 0.6250

The correct option is A) 0.6250

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In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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The value of SSY (the sum of squares Y) is 800.

SSY - the sum of squares Y can be partitioned into two parts:

SSY' -  the sum of squares predicted

SSE - the sum of squares error.

The sum of squares predicted is the sum of the squared deviations of the predicted scores from the mean predicted score.

A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. The equation of the regression line is used to predict (or estimate) the value of the response variable from a given value of the explanatory variable.

Here, we have given that:

A sample of X and Y scores is taken, and a regression on line is used to predict Y from X.

if SSY¹ = 300

SSE = 500

n = 50

we know,

SSY = SSY¹ + SSE

SSY = 500 + 300

SSY = 800

Hence,

The value of SSY (the sum of squares Y) is 800.

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The value of SSY (the sum of squares Y) is 800 for the given regression line.

We know that:

SSY - the sum of squares Y - which can be partitioned into two parts:

1) SSY' -  the sum of squares predicted

2) SSE - the sum of squares error.

The sum of squares predicted means that:

The sum of  squared deviations of the predicted scores that from the mean predicted score.

We have:

A sample of X and Y scores, a regression line to predict Y from X.

SSY¹ = 300

SSE = 500

n = 50

Now, we know that:

SSY = SSY¹ + SSE

SSY = 500 + 300

SSY = 800

Therefore, the value of SSY (the sum of squares Y) is 800.

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The Pythagorean Theorem is explained in this problem.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

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The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

Is unbiased estimator

Step-by-step explanation:

In statistics, Numerical characteristics derived from population data is referred to as parameter, while those derived from the sample data are called statistic. When a sample is drawn from a particular population, the statistic of such sample could be used as either a point or interval estimate of the population. However, the estimator derived from the sample in most cases isn't equal to the exact parameter value. When this happens, that is, when population parameter equals the estimate of the sample statistic, then we have an unbiased estimator.

Answer:

70 degrees

Step-by-step explanation:

Moving from one hour number to the next (12 to 1, 3 to 4, etc) moves the hand of the clock 30 degrees. Using this, we know that the hour hand moved 60 degrees to get to the hour number 2. Then, the angle the hour hand moved because of the minute hand can be calculated by doing (20/60)*30=10. So the final answer would be 70 degrees.

Answer:

The answer is B

Step-by-step explanation:

Considering that the data displays the percentage of time spent by each age group, not a relative frequency compared to the whole, a pie chart would not be appropriate, hence the third option is correct.

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Answer:

201.06

Step-by-step explanation:

3.14 * 8^2= 201.06

(pi * radius ^ squared)

Answer: 32.08%

Step-by-step explanation:

From the question, a survey of 720 adults nationwide asked, "What irks them most about the actions of other motorists? and the response "tailgaters" was given by 231 people.

The percentage of people that responded with tailgaters will be the number of people who responded with tailgaters divided by the total survey of adults asked and then multiplying by 100. This can be mathematically written as:

= 231/720 × 100

= 32.08%

Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.

In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.

Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.

In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

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Let A be the event that at least one die lands on a 6, and let B be the event that the two dice land on different numbers. We want to find P(A|B), the conditional probability of A given B.

To start, we can find the probability of B:

P(B) = 1 - P(both dice land on the same number)

Since each die can land on any number from 1 to 6 with equal probability, the probability of both dice landing on the same number is 1/6. Therefore, we have:

P(B) = 1 - 1/6 = 5/6

Next, we can find the probability of A and B:

P(A and B) = P(at least one die lands on a 6 and the two dice land on different numbers)

If one die lands on a 6, then the other die must land on one of the 5 remaining numbers. Therefore, the probability of A and B is:

P(A and B) = P(one die lands on a 6) * P(the other die lands on a number different from the first) = (1/6) * (5/6) = 5/36

Now we can use Bayes' theorem to find P(A|B):

P(A|B) = P(A and B) / P(B)

Plugging in the values, we get:

P(A|B) = (5/36) / (5/6) = 1/6

Therefore, the conditional probability that at least one die lands on a 6 given that the two dice land on different numbers is 1/6.

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Answer:

2/6

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The given equation is,

→ 3x/4 - (2x + 5)/3 = 5/2

→ 3x × 3 - 4(2x +5)/12 = 5/2

→ 9x - 8x -20/12 = 5/2

→ (x - 20)/12 = 5/2

→ x - 20 / 6 = 5

→ x - 20 = 30

→ x = 20 + 30

→ x = 50

Answer:

x=50

Step-by-step explanation:

The solution of the quadratic equation, -x²-3 x+7=0 are :  -1.54, 4.54.

Hence the correct option is C.

The given equation is,

-x²-3 x+7=0

To solve a quadratic equation of the form ax² + bx + c = 0,

Use the quadratic formula, which is:

x = (-b ± √(b² - 4ac)) / 2a

In this case, we have the equation -x² - 3x + 7 = 0,

Where a = -1, b = -3, and c = 7.

Plugging these values into the quadratic formula, we get:

x = (-(-3) ± √((-3)² - 4(-1)(7))) / 2(-1)

Simplifying this expression, we get:

x = (3 ± √(9 + 28)) / (-2)

x = (3 ± √37) / (-2)

Now we can use a calculator to approximate the value of x to the nearest hundredth.

Using the "±" symbol, we can find the two solutions:

x ≈ -1.54 or x ≈ 4.54

Therefore, the answer is option c: -1.54, 4.54.

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The future value of the mixed stream at the end of year 5 based on the savings amounts is $13,119.97.

The future value is calculated as:
= ∑(Future value of each cash flow)

Solving gives:
= (1,500 x 1.05⁴) + (7,700 x 1.05³) + (1,200 x 1.05²) + (1,000 x 1.05¹) + (10 x 1.05⁰)

= $13,119.97

In conclusion, the future value is $13,119.97.

Full question is:

What is the future value of the following mixed stream at the end of 5 years, assuming a 5% rate of return? Year 1 2. 3 S Savings $1,500 $7,700 $1,200 $1,000 $10

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Answer:

4.9 = 490%

15.27% = .1527

Step-by-step explanation:

1. To convert a decimal into a percentage, you multiply the decimal by 100.

2. (Solving)

4.9:

15.27%:

Therefore, the answers are 490% and .1527.

Answer: 490% and .1527

Step-by-step explanation:

Decimal to percentage: move decimal place 2 spaces to the left

Percentage to decimal: move decimal 2 space to the right

Answer:

Neither Parallel nor Perpendicular

Step-by-step explanation:

Convert 3y - 2x = -24 to slope - intercept form

3y - 2x = -24

3y = -24 + 2x

3y = 2x - 24

y = 2/3x - 8

They are neither parallel or perpendicular

Parallel lines have the same slope, but these are different

Perpendicular lines have the opposite inverse (negative reciprocal) slope, but these are just reciprocals

-Chetan K

Answer:

68%

Step-by-step explanation:

In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:

Answer:

56x+12y-10.6

Step-by-step explanation:

The multiple choice answer is B.

Answer:

Step-by-step explanation:

2(14y-3y+28x+12.2-5y-17.5) = 2(14y - 3y - 5y + 28x  + 12.2 - 17.5)

                                           = 2( 6y  + 28x - 5.3)

                                            = 2*6y + 28x* 2  - 5.3*2

                                           = 12y + 56x - 10.6

The Cartesian coordinate system is a two-dimensional plane that is divided into four quadrants. These quadrants are numbered from one to four and are determined by the signs of the x and y-coordinates. When we plot a point in the Cartesian plane, we can determine its quadrant by looking at its coordinates. In this question, we need to find out which quadrant a point belongs to given its coordinates.

To find the quadrant of the point (0.3990, 0.07), we need to look at the signs of the x and y-coordinates. Since the x-coordinate, 0.3990, is positive and the y-coordinate, 0.07, is also positive, the point lies in the first quadrant. The first quadrant is defined by positive x and y-coordinates, and it is located in the upper right-hand corner of the Cartesian plane. This means that the point (0.3990, 0.07) is located in the upper right-hand corner of the plane. By knowing which quadrant a point is in, we can better understand its location and use this information to make further calculations or observations about the point.

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Answer:

option C is correct

Step-by-step explanation:

Please refer to the attachment

The radical expression √x/2 e is equivalent to the given product, which is the correct option(C).

Any expression that contains a radical symbol is considered a radical expression. Unknown variables, numbers, and arithmetic operators make up a radical expression. It contains no equality or inequality symbols.

To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.

The radical expression is given in the question, as follows:

√(3/x)·√(x²/12)

Combine the term in radicals of the above expression,

√[(3/x) × (x²/12)]

Reduce the likewise variables in the expression,

√(x/4)

Apply the square root property, and we get

√x/2

Thus, the radical expression √x/2 e is equivalent to the given product.

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Answer:

Answer: $457,835

Step-by-step explanation:

I just took the test :)

Answer:

So we have shown that (AB)^-1 = B^-1 A^-1.

Step-by-step explanation:

Okay, let's solve this step-by-step:

1) We are given the matrices:

A = [[1, 2], [-3, 4]]

B = [[4, 3], [-2, 1]]

2) To find (AB)^-1, we first need to find AB. Matrix multiplication gives:

AB = [[1*4 + 2*-2, 1*3 + 2*1], [-3*4 + 4*-2, -3*3 + 4*1]]

= [[4, 7], [-12, 1]]

3) Next, we need to find the inverses of A and B:

A^-1 = [[4, -2], [-3, 1]] / (4*4 - 4*(-3)) = [[4, -2], [-3, 1]] / 16 = [[ 0.25, -0.125], [-0.1875, 0.0625]]

B^-1 = [[1, -2], [3, -1]] / (1*1 - 1*(3)) = [[1, -2], [3, -1]] / -2 = [[-0.5, 1], [-1.5, 0.5]]

4) Finally, we can multiply the inverses:

(AB)^-1 = A^-1 * B^-1

= [[ 0.25, -0.125], [-0.1875, 0.0625]] * [[-0.5, 1], [-1.5, 0.5]]

= [[0.125, -0.25], [0.28125, -0.03125]]

Therefore, (AB)^-1 = [[0.125, -0.25], [0.28125, -0.03125]]

So we have shown that (AB)^-1 = B^-1 A^-1.