Graph the number on the number line

To obtain a sense of predictability, Kelly suggests engaging in hypothesis testing (d).

Kelly's suggestion aligns with the scientific method, which involves formulating hypotheses and testing them to make predictions and gain a sense of predictability. Hypothesis testing is a systematic approach that allows us to evaluate the validity of a proposed explanation or theory.

Template matching (a) refers to a process where incoming information is compared to stored templates or patterns to identify similarities. While it may be useful in certain contexts, it does not directly address the concept of predictability or the systematic evaluation of hypotheses.

Theory construction (b) involves the development of explanatory frameworks that describe and explain phenomena. While theory construction can contribute to predictability by providing overarching explanations, it is typically preceded by hypothesis testing to validate or refine the proposed theories.

Scientific discovery (c) refers to the process of making new observations, uncovering new phenomena, or formulating novel theories. While scientific discovery plays a crucial role in expanding knowledge and understanding, it is often followed by hypothesis testing to validate or refine the newly discovered information.

Therefore, Kelly's suggestion of engaging in hypothesis testing (d) is aimed at obtaining a sense of predictability by systematically evaluating and testing hypotheses to make reliable predictions about future outcomes or observations.

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Answer:

the height is 11 units the base is 12 units and the area is (i think) 84

The total number of possible four-digit PINs that cannot begin or end with a 0 and must be an even number is 10,000 - 900 - 4,500 = 4,500. Thus, the correct answer is c. 4,500.

To determine this:

There are 10 options for the first digit (1-9) and 10 options for the last digit (2, 4, 6, 8). For the middle two digits, there are 10 options for each digit (1-9). Therefore, the total number of possible four-digit PINs is 10 x 10 x 10 x 10 = 10,000.

However, we must subtract the number of PINs that begin or end with a 0, which is 9 x 10 x 10 x 1 = 900. We must also subtract the number of PINs that are odd numbers, which is 9 x 10 x 10 x 5 = 4,500.

Therefore, the total number of possible four-digit PINs that cannot begin or end with a 0 and must be an even number is 10,000 - 900 - 4,500 = 4,500. Thus, the correct answer is c. 4,500.

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The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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The height of the cone is 12cm

First, it is important to note that the formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Given that;

Substitute the values

50 = 3.14 × (2)² ×h/3

Find the square

50 = 3.14 × 4 × h/3

Multiply the values, we get;

50 = 12.56h/3

Cross multiply

h = 150/12.56

h = 12cm

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Answer:

4n - 4

Step-by-step explanation:

3n-4 = the amount of tickets Evie has

n = the amount of tickets Mark has

3n - 4 + n = 4n - 4

Answer:

Hello,

Answer 176

Step-by-step explanation:

Very hard as problem.

1. we suppose 2 variables a and b.

 we find that b=5a/6

2. One more variable c

we find c=13a/24

3. a must be a multiple of 24 and perimeter is 44*a/6 = 176a/24

Answer:

Step-by-ste…….explanation:

The given sequence is 64, 112, 196, 343. We will look for a pattern in the given sequence.

Step 1: The first term is 64.

Step 2: The second term is 112, which is the first term multiplied by 1.75 (112 = 64 x 1.75).

Step 3: The third term is 196, which is the second term multiplied by 1.75 (196 = 112 x 1.75).

Step 4: The fourth term is 343, which is the third term multiplied by 1.75 (343 = 196 x 1.75).

Step 5: Hence, we can see that each term in the sequence is the previous term multiplied by 1.75.So, the recursive formula that can be used to describe the given sequence is: a₁ = 64; aₙ = aₙ₋₁ x 1.75, n ≥ 2.

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Answer:

The first table

Step-by-step explanation:

x         y

7         76

10      100

13       124

16      148

HOPE THIS HELPS :)

The measure of angle m∠BFC, obtained using vertical and angle addition postulate is; m∠BFC = 62°

Vertical angles are angles that are formed by two intersecting lines, that are located on opposite sides to each other on the lines.

The specified parameters are;

m∠EFD = 28°

Line AD is perpendicular to line GC (Perpendicular line symbol at F)

m∠AFG = 90° (Definition of perpendicular lines)

∠AFG and ∠AFC are linear pair angles (Angles that together form a straight line GC)

m∠AFG + m∠AFC = 180° (linear pair angles are supplementary)

90° + m∠AFC = 180° (supplement angles have a sum of 180°)

m∠AFC = 180° - 90° = 90°

m∠AFC = 90°

∠AFC = ∠AFB + ∠BFC (Angle addition property)

∠EFD and ∠AFB are vertical angles

∠EFD ≅ ∠AFB (vertical angles are congruent)

∠EFD = ∠AFB (definition of congruency)

∠EFD = 28°

28° = ∠AFB (substitution property)

∠AFB = 28° (symmetric property)

90° = 28° + m∠BFC

m∠BFC = 90° - 28° = 62°

m∠BFC = 62°

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Answer: 431 664.685 m2

Step-by-step explanation:

Answer:

\( \sqrt{ {8}^{2} +{10}^{2} } = \sqrt{64 + 100} = \sqrt{164} =2\sqrt{41}\\ =\boxed{12.8\: units} \)

The diagonal length of the rectangular book is 12.8 units.

A rectangle is "four sided polygon, having all the internal angles  is equal to 90 degree. The two sides of each corner is right angles".

According to the question,

The length of rectangle is 8 units and the breadth of rectangle is 10 cm.

To find diagonal of the rectangle: Using Pythagoras theorem a² + b² = c².

c = \(\sqrt{a^2 + b^2}\)

  = \(\sqrt{8^2 + 10^2}\)

  = \(\sqrt{64 + 100}\)

  = \(\sqrt{164}\)

  = 2\(\sqrt{41}\)

  = 12.8 units

Hence, the diagonal length of the rectangular book is 12.8 units.

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Explanation

in this case we have a rule that says what the value is, for example for

n=1

then, to know the term number 30, we have to replace

so, the term number 30 is

I hope this helps you

Answer:

A) the probability of winning is 0.24%.

B) Yes i will play the game

C) Despite the fact that the probability of winning is very low, one should play the game because the expected value of the game is positive.

Step-by-step explanation:

Expected value of X is denoted by;

E(X) = x1•p1 + x2•p2 +..... xn•pn

Where;

xi is the observation and pi is the probability of xi

Now, let's make p the probability of the winning bet and 1 - p be the probability of losing the game

If the bet is win, the net gain is $98,800 and if the bet is lose, the loss is -$1200.

Hence the probability distribution will be;

For xi = $98,800, pi = p

For xi = -$1,200, pi = 1 - p

So;

E(X) = Σxi.pi

Thus;

1200 = 98800p - 1200(1 - p)

1200 = 98800p - 1200 + 1200p

1200 + 1200 = 100000p

2400 = 100000p

p = 2400/100000

p = 0.024

Thus, the probability of winning is 0.24%.

Despite the fact that the probability of winning is very low, one should play the game because the expected value of the game is positive.

Solution

Step 1:

Write the logarithm function

Step 2:

Base = a

Exponent = 4

Hence

Final answer

Answer:

it will cost him $2204 to recarpet the room.

Step-by-step explanation:

The floor of the room is rectangular. The formula for determining the area of a rectangle is expressed as

Area = length × width

The rectangular hotel room is 4 yards by 7 yards. It means that the area of the rectangular floor would be

Area = 4 × 7 = 28 square yard.

If the cost of the carpet $58.00 per square yard, the total that it will cost to recarpet the room would be

38 × 58.00 = $2204

The standard deviation is 1.482 when the probability of any particular diode is 0.01, and the circuit board is 200 diodes.

A Bernoulli trial is defined as a random experiment with exactly two possible outcomes, that are "success" and "failure", in which the probability of success is the same every time the experiment is conducted.

The probability for the Binomial distribution is given as:  

\(P(X)=(^{n} C_x)P^x(1-P)^n^-^x\)

Where (nCx) means combinatory and it's given by this formula:  

\(^nC_x=\frac{x!}{(n-x)!x!}\)

For this case, we assume that the random variable of interest X= number of circuits that are expected to fail in a sample of 200 selected and we know that:

X simBino (n=200,p=0.01)

The expected value is given by:

E(x)=n*p=200*0.01=2

The variance is given by:

Var(x)np(1-P)=200*0.01*(1-0.01)=1.98

And the deviation is given by:

sd(X)=√1.98-1.407

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Answer:

2034.72 units²

Step-by-step explanation:

Formula for surface area of a cylinder is:

2πrh + 2πr²

The radius is 12 and the height is 15, so we plug it in:

2π(12·15) + 2π(12)²

2π(12·15) + 2π(12)²=2034.72.

Answer:

1st choice

Step-by-step explanation:

(r² -4r + 5 - r² -2r + 8) / (r - 4)

= (-6r + 13) / (r - 4)

Answer:

the needed amount of what? community service?If so about 6 days of work on saturday and 3 school days. :)

Answer:

45

Step-by-step explanation:

90% of them picked chocolate cake

then

90% * 50 ( total number of people in the party ) = 45

Step-by-step explanation:

x = number of years after 2007.

x = 0 for 2007.

PC(x) is a function that calculates how many pounds of chicken the average adult will eat every year (x) after 2007 (up to 2012).

PC(x) = 0.8x + 52

0 <= x <= 5

in 2007 (x = 0) the average adult ate 52 pounds.

in every year after 2007 until 2012 0.8 pounds get added to the amount of the previous year.

so, in 2012 (x = 5) the average adult will eat

PC(5) = 0.8×5 + 52 = 4 + 52 = 56 pounds of chicken.

Amount of interest on loan at Rimrock Bank, using ordinary interest at a rate of 15%, is $48,750 and at rate of 14.5%, is $47,125. In Southside National Bank , interest at a rate of 15%, is $49,500.

To compete with Rimrock Bank's offer, Southside National Bank would need to quote a rate of 14.38% using exact interest.                                    (a) To calculate the amount of interest on the loan at Rimrock Bank, we use the formula I = PRT, where I is the interest, P is the principal amount, R is the interest rate, and T is the time in years. Plugging in the values, we have I = $1,300,000 * 0.15 * (90/365) = $48,750.

(b) The amount of interest on the loan at Southside National Bank using exact interest is calculated the same way as in part (a), resulting in I = $1,300,000 * 0.15 * (90/360) = $49,500.                                                        (c) Similarly, using the same formula, we find the interest on the loan at Rimrock Bank with a rate of 14.5% to be I = $1,300,000 * 0.145 * (90/365) = $47,125.

(d) To determine the rate at which Southside National Bank should quote to compete with Rimrock Bank's last offer, we subtract the given interest difference of $1,125 from the interest calculated in part (b). Solving for R, we have $48,750 - $1,125 = $1,300,000 * R * (90/360). Solving this equation results in R ≈ 0.1438, which is 14.38% rounded to the nearest hundredth of a percent.

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The more that the ROC curve hugs the top left corner of the plot, the better the model does at classifying the data into categories

A true positive result is one in which the model accurately predicts the positive class. A true negative, on the other hand, is a result in which the model correctly predicts the negative class.

A false positive is an outcome in which the model forecasts the positive class inaccurately. A false negative is an outcome in which the model forecasts the negative class inaccurately.

The ROC curve is obtained by plotting the true positive rate (TPR) against the false positive rate (FPR) at various threshold values.

The true-positive rate is also known as sensitivity, recall, and likelihood of detection.

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The Cpk (Process Capability Index) for this machine is 0.5 (rounded to 3 decimal places).

To calculate the Cpk (Process Capability Index), we need to consider the specification limits and the process variation.

The Cpk is given by the formula:

Cpk = min[(USL - μ) / (3σ), (μ - LSL) / (3σ)], Where:

USL = Upper Specification Limit

LSL = Lower Specification Limit

μ = Process mean

σ = Process standard deviation

In this case, the Upper Specification Limit (USL) is 2 + 0.004 = 2.004 inches, and the Lower Specification Limit (LSL) is 2 - 0.004 = 1.996 inches.

Given that the process mean (μ) is 2.001 inches and the process standard deviation (σ) is 0.002 inch, we can substitute these values into the formula:

Cpk = min[(2.004 - 2.001) / (3 * 0.002), (2.001 - 1.996) / (3 * 0.002)]

Cpk = min[0.003 / 0.006, 0.005 / 0.006]

Cpk = min[0.5, 0.833]

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