32.68-4.15q
a. for q = 0
b. for q = 10
c. for q = -3

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer:No

Step-by-step explanation:

9/12 = 3/4 = .75

6/2 = 3.00

Answer:  No

Step-by-step explanation:

If you reduce each fraction

Divide the top and bottom for 9/12 by 3

=3/4

And 6/2 is 6 divided by 2 =3

3/4 is not bigger than 3  

3/4 is a fraction and 3 is 3 wholes.

Answer: A term is is a single mathematical expression. For example, a is a term, 12 is a term, 2ab^2 are also a term. that means it's the things without symbols in polynomials

Step-by-step explanation:

For this problem, you can write this expression as: x/2 + y - 3, you can clearly see that there are three terms total in this problems.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

17 ft.

Step-by-step explanation:

Because 17x25=425

And 25-8=17

Answer:

2/10

Step-by-step explanation:

To do this, add all of the numbers in the bag up.

2 + 3 + 5 = 10. There are 2 yellow balls in 10. SO the answer is D.

Hope this helped and pls mark me brainliest

Answer: (D)

Step-by-step explanation: the bag contains 10 ball 5 + 3 is 8 + 2 = 10 there are only 2 balls that are blue so the answer would 2/10

Answer:

I'm not sure if this is a real problem and I don't think it is but the answer is 6.5

Step-by-step explanation:

first you have to add -2 and 2, then plus 3 and 2 and subtract 2 from it and then and 2+4 and subtract -5 and divide 2 and add 3 and add the answer to al of that to 2 + 3 and subtract - 10 and you get your answer of 6.5

answer

= amount to be paid by kylee to repair her car = $ 400

And this loss is claimed under comprehensive deductible worth $375

So the extra amount which is to be paid to insurance company is =$ 25

= $ 25

Kylee receive from her insurance company when she files her claim for $25.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Kylee's car was broken into, and her stereo and GPS system worth $425 total were stolen.

The amount to be paid by Kylee to repair her car is $400

And this loss is claimed under a comprehensive deductible worth $375.

So the extra amount which is to be paid to an insurance company will be

⇒ $400 - $375

⇒ $25

Kylee receive from her insurance company when she files her claim for $25.

The complete question is...

Kylee's car was broken into, and her stereo and GPS system worth $425 total were stolen. If Kylee's insurance policy summary is given below.

The amount to be paid by Kylee to repair her car is $400

And this loss is claimed under a comprehensive deductible worth $375.

How much will Kylee receive from her insurance company when she files her claim?

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Answer:

The approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709

Step-by-step explanation:

\(\mu = 192\)

\(\sigma = 31\)

No. of passengers = n = 21

We are supposed to find the approximate probability that the total weight of the passengers exceeds 4432 pounds

\(x = \frac{4432}{21} \sim 211\)

\(Z=\frac{x-\mu}{\sigma}\\Z=\frac{211-192}{31}\)

Z=0.612

refer z table

P(Z<211)=0.7291

P(Z>211)=P(Z>4432)=1-0.7291=0.2709

Hence the approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709

Answer:

I'm pretty sure it's neither? You need a graph or something for that

Answer:

I think its perpendicular

Step-by-step explanation:

When writing these points on a graph they make a square so when you connect the lines from the coordinates they cross making them perpendicular!

Answer:

6.25 kilometers

Step-by-step explanation:

2.45km + 3.8km

= 6.25km

Answer: 6.25 Kilometers

Step-by-step explanation:

First, take 2.45 Kilometers from day one

Then take 3.8 Kilometers from day two

Now add them together for the result of

6.25 Kilometers

The expressions are simplified to;

1. 5x + 11

2. x - 11

3. x - 11y

4. 4x + 20

5. 5x² - y²

6. 5x² - 5y² - 5y

7. -12y²

8. 4x + 20

9. 4x - 20

10. 8x² - 20xy

To simply the algebraic expression, we have to expand the bracket, collect the like terms and then add or subtract them.

From the information given, we have that;

1. 3x + 5 + 2x + 6

collect and add like terms

5x + 11

2. 3x - 5 - 2x - 6

collect and add the like terms

x - 11

3. 3x - 5y - 2x - 6y

collect and add the like terms

x - 11y

4. 6x + 12 - 2x + 8

collect and add the like terms

4x + 20

5. 3x² + 5y² + 2x² - 6y²

collect and add the like terms

5x² - y²

6. 3x² - 5y² + 2x² - 6y

collect and add the like terms

5x² - 5y² - 5y

7. 6x³ - 10y³ + 4x³ - 12y²

collect and add the like terms

-12y²

8. 6(x + 2) - 2(x - 4)

expand the bracket

6x + 12 - 2x + 8

4x + 20

9. 6(x - 2) - 2(x + 4)

expand the bracket

6x - 12 - 2x - 8

4x - 20

10. 6x(x - 2y) + 2x(x - 4y)

expand the bracket

6x² - 12xy + 2x² - 8xy

8x² - 20xy

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The correct option for the equation of line is; y ≥ x - 4.

For the given question;

Consider two points lying on the line.

(x₁, y₁) = (4, 0)

(x₂, y₂) = (0, -4)

The, the slope of the line is found using;

slope = m = (y₂ -y₁)/(x₂ - x₁)

m = (-4 - 0)/(0 - 4)

m = 1

Now, the standard form of equation of line is;

y - y₁ = m(x - x₁)

Put the values,

y - 0 = 1(x - 4)

y = x - 4

As, the origin of the coordinates axis and the shaded portion lies on the opposite side of the line, thus the inequality used is greater than equal to.

y ≥ x - 4

Thus, equation of line obtained for the given graph is y ≥ x - 4.

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The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer:

C. Neither

Step-by-step explanation:

The permutation is a selection of objects from a given sample in an ordered manner .

The combination is a selection of objects from a given sample irrespective of an order of arrangement.

The given line of people is neither an ordered arrangement of​ objects, nor a selection of objects from a group of objects So it fits neither of the combinations or permutations.

So the best answer is neither.

Answer:

Left tailed.

Step-by-step explanation:

A claim (alternative hypothesis) is set against the null hypothesis.

The claim (alternative hypothesis) of the  golf analyst is that the standard deviation of the​ 18-hole scores for a golfer is  less than 2.1 strokes

Ha: Sd< 2.1

The null hypothesis will be opposite of the alternate hypothesis

H0: sd ≥ 2.1

A test for which the entire rejection region is located in only one of the two tails - either left or right- is called one tailed test.

In the given example the acceptance region is located in the area greater or equal to 2.1 . The rejection region lies to the left and the acceptance region lies to the right.

As the rejection region lies to the left, it is a left tailed test.

Also if the alternative hypothesis contains equality less than it is left tailed.

I hope I helped you^_^

Answer:

The exact height of the bulge is 513.8 ft.

Answer:

number one is the appropriate answer for this question

Answer:

Orange and pink, I'm not too sure

Answer:

Orange and pink.

Step-by-step explanation:

Because there shapes are same.

Answer:

The base function is being translated up 4 units due the + 4

Answer:

y = 148°

Step-by-step explanation:

4x - 18 = 2x + 12 (alternate exterior angles are congruent)

Collect like terms

4x - 18 = 2x + 12

4x - 2x = 18 + 12

2x = 20

Divide both sides by 2

x = 10

y = 180 - (2x + 12) (linear pair theorem)

Plug in the value of x

y = 180 - (2(10) + 12)

y = 180 - (20 + 12)

y = 148°

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer:

Probability of getting at least 9 out of 18 correctly is 0.0043

Step-by-step explanation:

We have

n = 18

p = 1/5 for correct answer

q = 4/5 for wrong answer

P( 9 \(\leq\) X \(\leq\) 18) = 1 - P(0 \(\leq\) X\(\leq\) 8)

                       = 1 -  0.9957

                         =0.0043

We need to divide the figure into 4 parts as:

So, the area of part 1 can be calculated as:

Area 1 = 6 in * 3 in = 18

The area of part 2 is calculated as:

Area 2 = 15 in * 7 in = 105

The area of part 3 is calculated as:

Area 3 = 15 in * 3 in = 45

The area of part 4 is calculated as:

Area 4 = 6 in *3 in = 18

So, the total area is calculated as:

Total Area = Area 1 + Area 2 + Area 3 + Area 4

Total Area = 18 + 105 + 45 + 18

Total Area = 186

Answer: 186 in^2

Answer:

\((x - \frac{4}{9} )(x - \frac{9}{2} ) = 0\)

\( {x}^{2} - \frac{89}{18} x + 2 = 0\)

Answer:

24f+12g-4

Step-by-step explanation:

hope this helps!

Answer:

The answer would be 24f+12g-4

Step-by-step explanation:

With distrubitive property, the value outside of the parenthesis multiplies each value within the parenthesis, so the equation turns moreso into this:

4*6f + 4*3g + 4*-1

When you multiple these out, you get 24f+12g-4

The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

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