Help with his plz ASAP!!

The inferential statistics would employ the probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime.

The inferential statistics are calculated by using analytical tools such as test-statistic values, degree of freedom, sample size, and the rejection criteria(assumption or hypothesis).

Thus, the given information is about predicting the miles. So, according to the probability theory, it needs a sample of data about 2000 Toyota Celica.

Hence, it falls under the inferential branch of statistics. So, option C is correct.

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: Which branch of statistics would employ probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime?

A. Predictive statistics

B. Descriptive statistics

C. Inferential statistics

D. Differential statistics

To test whether hypothesis H is true or not, it is important to design a good experiment that can provide evidence E. The following steps can be taken to set up a good experiment:

1. Define the hypothesis: The first step is to clearly define the hypothesis being tested. This includes stating the null hypothesis (H0) and alternative hypothesis (Ha).

2. Design the experiment: The experiment should be designed in a way that allows for the manipulation of variables and control of extraneous factors.

The experimental design should also include a sample size calculation, randomization, and blinding.

3. Collect data: Data should be collected in a systematic and unbiased manner. This may involve using standardized procedures, measuring instruments, and data collection forms.

4. Analyze data: The data collected should be analyzed using appropriate statistical methods to determine whether there is a significant difference between the groups being compared.

5. Draw conclusions: Based on the results of the analysis, conclusions can be drawn regarding the validity of the hypothesis being tested.

6. Double-Blind Design: Implement a double-blind design, where neither the participants nor the researchers are aware of who is in the experimental or control group. This minimizes the potential for bias in the data collection and analysis process.

7. Replication: Conduct the experiment multiple times to ensure the reliability and generalizability of the results. Replication helps validate the findings and ensures that they are not simply due to chance or specific circumstances.

It is important to note that a good experiment should also have high internal validity, meaning that it accurately measures what it intends to measure and eliminates alternative explanations for the results observed.

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Answer: 17.5%

Step-by-step explanation:

lcm 9, 30: 90

80pg.:90m

66pg.:90m

80-66=14pg. difference

14/80*100=17.5

Therefore, the expression \(t^{(-3/4)}\) in rational form is:

\(B. 1/^4 \sqrt {t^3}\)

What is the exponential function?

An exponential function is a mathematical function of the form:

f(x) = aˣ

where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.

To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.

Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case,  \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).

Therefore, the expression \(t^{(-3/4)}\)in rational form is:

\(B. 1/^4 \sqrt {t^3}\)

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The number of gloves selected for each cases is 11 and 19 gloves respectively.

How is selection done?

In mathematics, most of the times selection is done using permutation and combination.

Putting things or numbers in order is known as a permutation.

Combinations are a means to choose items or numbers from a collection of items or groups of items without regard to their order.

Given,

       Total black gloves = 5 left hand+ 5 right hand

       Total brown gloves = 3 left hand + 3 right hand

        Total gray gloves = 2 left hand + 2 right hand

Now to find the least number of gloves for the given conditions, we start with the worst condition.

a) To get at least one matching pair, we first consider no matching pair, which is (5 +3+2) gloves of only left only or right only hand of each colour.

Now to make one pair, we need to select only one glove of the opposite hand of any colour.

Therefore to get atleast one matching pair, smallest number of gloves to be selected = 5 + 3 + 2 + 1 = 11 gloves

b) In this case also we start with worst case.

   For no matching pair of each colour we have to take 10 black gloves, 6 brown gloves and  2 gray gloves of any one hand.

Therefore to get matching pair of each colour, we have to take one more gray glove.

Therefore to get atleast one matching pair of each colour, smallest number of gloves to be selected = 10 + 6 + 2 + 1 = 19 gloves.

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The probability that a truck drives between 122 and 127 miles in a day is 0.0165, rounded to four decimal places.

To find the probability that a truck drives between 122 and 127 miles in a day, we'll use the z-score formula and standard normal distribution table. Follow these steps:

Step 1: Calculate the z-scores for 122 and 127 miles.
z = (X - μ) / σ

For 122 miles:
z1 = (122 - 90) / 18
z1 = 32 / 18
z1 ≈ 1.78

For 127 miles:
z2 = (127 - 90) / 18
z2 = 37 / 18
z2 ≈ 2.06

Step 2: Use the standard normal distribution table to find the probabilities for z1 and z2.
P(z1) ≈ 0.9625
P(z2) ≈ 0.9803

Step 3: Calculate the probability of a truck driving between 122 and 127 miles.
P(122 ≤ X ≤ 127) = P(z2) - P(z1)
P(122 ≤ X ≤ 127) = 0.9803 - 0.9625
P(122 ≤ X ≤ 127) ≈ 0.0178

So, the probability that a truck drives between 122 and 127 miles in a day is approximately 0.0178 or 1.78%.

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The expression 16t^2 represents distance an object falls in feet after t seconds, assuming no other forces are acting on it.

The height from which object is dropped can be represented by another variable or constant. The expression 16t^2 represents the distance an object falls in feet after t seconds, assuming free fall under the influence of gravity. The value 16 comes from the acceleration due to gravity, which is approximately 32 feet per second squared. Since the object is falling, the equation represents a downward motion.

In this case, the object is dropped from a height of 2716 feet. To find the time it takes for the object to reach the ground, we can set the expression equal to the height and solve for t: 16t^2 = 2716. Dividing both sides of the equation by 16, we get: t^2 = 169.75, Taking the square root of both sides, we find: t ≈ 13.04

Therefore, the object takes approximately 13.04 seconds to fall from a height of 2716 feet.

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Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour then Karen working alone will paint a house in 3 hours.

Since Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour.

Karen can even paint 1/x in 1 hour

Both of them will paint the house in 3/2 hours.

We then add them together which gives:

1/6 + 1/x = 3/2x

The lowest common multiple is 6x

1x/6x + 6/6x = 9/6x

We then leave out the denominators

1x + 6 = 9

simplifying the above equation, we get

x = 9 - 6

x = 3

Therefore, the value of x = 3.

Karen working alone will paint a house in 3 hours.

The complete question is:

Betty and Karen have been hired to paint the houses in a new development. Working together, the women can paint a house in two-thirds the time that it takes Karen working alone. Betty takes 14 h to paint a house alone. Betty takes 6 h to paint a house alone.

Required:

How long does it take Karen to paint a house working alone?

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Step-by-step explanation:

hope you can understand

For the required value of the given complex numbers z₁z₂ = 32(cos 255° + isin 255°).

Complex numbers are those that expand on the idea of real numbers by incorporating an illogical element.

The formula for a complex number is "a + bi," where "a" and "b" are real numbers and "i" is the imaginary unit, which is equal to the square root of -1.

"A" stands for the complex number's real component, and "b" stands for the imaginary component.

We multiply the magnitudes of two complex numbers and add their arguments to determine their product.

Let's compute z₁z₂ with the supplied values.

Given:

z₁ = 8(cos 45° + isin 45°)

z₂ = 4(cos 210° + isin 210°)

We add the arguments and multiply the magnitudes to find z₁z₂:

Magnitude of z₁ = 8

Magnitude of z₂ = 4

Argument of z₁ = 45°

Argument of z₂ = 210°

Now, let's calculate z₁z₂:

Magnitude of z₁z₂ = (Magnitude of z₁) × (Magnitude of z₂) = 8 × 4 = 32

Argument of z₁z₂ = (Argument of z₁) + (Argument of z₂) = 45° + 210° = 255°

Therefore, z₁z₂ = 32(cos 255° + isin 255°).

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The correct question =

Given z₁ = 8(cos 45° + isin 45°) and z₂ = 4(cos 210° + isin 210°), what is z₁z₂?

Answer:

13

Step-by-step explanation:

You need to use pythagorean theorem (a^2 + b^2 = c^2). In this case 5 is a, 12 is b, and z is c. 5^2 + 12^2 = z^2, this ends up as 169 = z^2. Now you find the square root of 169 which is 13.

Step-by-step explanation:

Maybe it is root 5²time 12²=60

Answer:

£45.84375

Step-by-step explanation:

To top up the tank he needs:

1200 - 450 = 750 liters

Since the price of oil is 81.5p per liter and he gets a 7.5% discount, the discount per liter is:

81.5 x 7.5/100 = 6.1125p

Since he needs 750 liters, the discount in total is:

6.1125 x 750 = 4584.375p

Since 1p = £0.01

The discount he gets in £ is:

4584.375 x 0.01 = £45.84375

add 6x12 in you will get your answer

Answer:

486 kg

Step-by-step explanation:

(Calculator)

360 + 35%

=486

I hope it is correct

Answer:

the answer is undefined

Step-by-step explanation:

The triangle is solved to ;

A = 28. 8°, a = 26, c = 52. 8

Using the sine rule, we have that;

sin B/b = sin C/c

Where;

Then, we have;

sin 49.2/40.9 = sin 102/c

cross multiply the values, we have;

c = 40. 006/0. 75

c = 52. 8

For A, we have;

A = 180 - 151.12

A = 28. 8 degrees

To determine a, we have;

sin 49.2/40. 9 = sin 28.8/a

a = 19. 703/0.75

a = 26

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Answer:

9 6/8, 9 3/4. 9.75

Step-by-step explanation:

1 1/4 would equal 10/8 if she has 10 7/8 then you'd take 7/8 out of 10/8 which would leave you with 2/8 left which you'd take out of the whole number 10 which would leave you with 9 6/8

simplified answer is 9 3/4

or: 9.75

Here are the solutions to each problem, which include the center and radius for each circle:7. Center: (6, -3); Radius: 6.9. Center: (-7, 10); Radius: 13.11. Center: (1, -2); Radius: 1/2.8. Center: (0, 9); Radius: 3/2.10. Center: (7/2, 3/2); Radius: 5/2.12. Center: (2, 0); Radius: 1.

The solution is given as follows;7. x² - 12x + y² + 6y = - 9.

We start by grouping the x and y terms separately, then completing the square by adding half of the coefficient of the respective variable and squaring the result. x² - 12x + y² + 6y = - 9(x² - 12x + __) + (y² + 6y + __) = - 9 + __ + __

Now, we'll fill in the blanks in the parentheses so that the trinomials are perfect squares: (x² - 12x + 36) + (y² + 6y + 9) = - 9 + 36 + 9.

This simplifies to: (x - 6)² + (y + 3)² = 36.

The center of the circle is (6, −3), and its radius is 6.9. x² + y² + 14x - 20y - 20 = 0.

First, we group the x terms and the y terms separately:x² + 14x + y² - 20y = 20.

Now, we'll complete the square in both x and y. x² + 14x + y² - 20y = 20(x² + 14x + __) + (y² - 20y + __) = 20 + __ + __.

We'll fill in the blanks so that the trinomials are perfect squares.

To find the terms to add, we take half of the coefficient of the variable and square it. (x² + 14x + 49) + (y² - 20y + 100) = 20 + 49 + 100

Simplifying, we get (x + 7)² + (y - 10)² = 169.

The center of the circle is (-7, 10), and its radius is 13.x - 2x + y + 3/2y = -1

We first rearrange the terms. x - 2x + y + 3/2y = -1-x - 1/2y = -1

We then complete the square in x and y as follows. x - 2x + y + 3/2y = -1(x - 1) - (1/2)(y + 2) = -1/2(x - 1)² - 1/4(y + 2)² = 1/2

The center of the circle is (1, -2) and its radius is 1/2.8. - 3x² - 3y² + 27y + 61 = 0

We rearrange and group the terms. - 3x² - 3y² + 27y = -61

We then complete the square. - 3x² - 3(y² - 9y + 81/4) + 27(81/4) = -61 - 3(81/4)(x² + (y - 9/2)² = 405/4

The center of the circle is (0, 9) and its radius is 3/2.10. x² + y² - 7x - 3y - 1 = 0

We rearrange and group the terms. x² - 7x + y² - 3y = 1

We then complete the square. x² - 7x + 49/4 + y² - 3y + 9/4 = 1 + 49/4 + 9/4(x - 7/2)² + (y - 3/2)² = 25/4

The center of the circle is (7/2, 3/2), and its radius is 5/2.12. 4x² - 16x + 4y² + 16 = 0

We rearrange and group the terms. 4x² - 16x + 4y² = -16

We then complete the square. 4(x² - 4x + 4) + 4y² = 0(x - 2)² + y² = 1

The center of the circle is (2, 0), and its radius is 1.

Completing the square is a method used to turn quadratic expressions in standard form into perfect squares. It’s often used to find the center and radius of circles.

Here are the solutions to each problem, which include the center and radius for each circle:7. Center: (6, -3); Radius: 6.9. Center: (-7, 10); Radius: 13.11. Center: (1, -2); Radius: 1/2.8. Center: (0, 9); Radius: 3/2.10. Center: (7/2, 3/2); Radius: 5/2.12. Center: (2, 0); Radius: 1.

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To solve this expression, we can multiply 6 and p first to get 6p and then add 3 to the result to get 6p + 3.

The expression (6. p) + 3 can be read as 6 times p plus 3. This expression is equivalent to 6p + 3, which is the same as adding 3 to 6p. In other words, this expression is the sum of p multiplied by 6 and 3 added to the result.This can be written in mathematical terms as 6p + 3 = 6 × p + 3.  To solve this expression, we can multiply 6 and p first to get 6p and then add 3 to the result to get 6p + 3.

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The dimensions of the can that minimize the cost of the material are approximately:

Radius (r) ≈ 6.324 cm

Height (h) ≈ 3.984 cm

To determine the dimensions of the can that minimize the cost of the material, we need to find the dimensions that minimize the surface area of the can.

Let's assume the can has a height of h and a radius of r.

The volume of a cylinder is given by:

V = πr²h

Given that the can should hold 500 cubic centimeters of liquid, we have:

500 = πr²h

We want to minimize the cost, which depends on the surface area of the can.

The surface area of the can is the sum of the areas of the top, bottom, and side surfaces.

The cost of the top and bottom surfaces is twice as expensive per square centimeter as the sides.

Let's assume the cost per square centimeter of the sides is c, so the cost per square centimeter of the top and bottom surfaces is 2c.

The surface area of the sides of the cylinder is given by:

A_sides = 2πrh

The surface area of the top and bottom surfaces (each) is given by:

A_top_bottom = 2πr²

The total surface area (cost) is given by:

Cost = 2(2c)A_top_bottom + cA_sides

= 4cπr² + 2c(2πrh)

= 4cπr² + 4cπrh

To minimize the cost, we need to minimize the surface area. To do this, we can express the surface area in terms of a single variable, such as the radius (r) or the height (h).

From the volume equation, we have:

h = 500 / (πr²)

Substituting this value of h into the surface area equation, we get:

Cost = 4cπr² + 4cπr(500 / (πr²))

= 4cπr² + 2000c/r

Now, we can take the derivative of the cost function with respect to r, set it equal to zero, and solve for r to find the critical points:

dCost/dr = 8cπr - 2000c/r² = 0

8cπr = 2000c/r²

8πr³ = 2000

r³ = 250 / π

r ≈ 6.324

Now, we can substitute this value of r back into the equation for h:

h = 500 / (π(6.324)²)

≈ 3.984

So, the dimensions of the can that minimize the cost of the material are approximately:

Radius (r) ≈ 6.324 cm

Height (h) ≈ 3.984 cm

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From this Triangle

Taking Triangle XZH, wanting to find HZ

From the Second triangle, ZHY

XY = x + 8

= 11.83 + 8

=19.83

The function f(x) = 4x² - 8x + 2 can be written in vertex form as f(x) = 4(x - 1)² - 2.

To convert the given function into vertex form, we need to complete the square. The vertex form of a quadratic function is given by f(x) = a(x - h)² + k, where (h, k) represents the coordinates of the vertex.

Step 1: Group the first two terms and factor out the coefficient of x²:

f(x) = 4(x² - 2x) + 2.

Step 2: Complete the square by adding and subtracting the square of half the coefficient of x:

f(x) = 4(x² - 2x + 1 - 1) + 2.

Step 3: Factor the perfect square trinomial and simplify:

f(x) = 4((x - 1)² - 1) + 2.

Step 4: Distribute and combine like terms:

f(x) = 4(x - 1)² - 4 + 2.

Step 5: Simplify:

f(x) = 4(x - 1)² - 2.

Therefore, the given function f(x) = 4x² - 8x + 2 can be written in vertex form as f(x) = 4(x - 1)² - 2.

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The relationship between the figure number and the number of circle is

Each figure represents the number of circles as in the pattern shown in figures 1 , 2, and 3

The pattern used in the getting the number of circles is twice the figure number minus 1. This is expressed mathematically as

2n - 1

where

n = figure number

hence we have that: figure 1, that is n = 1, such that

2n - 1

= 2 x 1 - 1

= 2 - 1

= 1

figure 2, n = 2, such that

2n - 1

= 2 x 2 - 1

= 4 - 1

= 3

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Answer:

\(\displaystyle D=\frac{q^2+7}{f}\)

Step-by-step explanation:

Equation Solving

We are given the equation:

\(fD - 7 = q^2\)

It's required to solve the equation for D. All letters must preserve their capitalization.

We must isolate the letter D by removing from the left side all the terms and coefficients that surround it.

Adding 7:

\(fD = q^2+7\)

Dividing by f:

\(\mathbf{\displaystyle D=\frac{q^2+7}{f}}\)

The units g/cm3 and kg/m3 are both used to express the density of a material, which is a measure of its mass per unit volume. Here's how you can convert g/cm3 to kg/m3: Multiply the density in g/cm3 by a conversion factor of 10^-3. Divide the result by a conversion factor of 100^3.

The conversion between g/cm3 and kg/m3 involves multiplying the density in g/cm3 by a conversion factor that takes into account the differences in units of mass (g vs. kg) and volume (cm3 vs. m3).

For example, let's consider the density of water, which is 1 g/cm3. To convert this density to kg/m3, we multiply by 10^-3 to get 0.001 kg/g. Then, we divide by 100^3 to get the final result: 1 g/cm3 * 10^-3 kg/g / 100^3 cm^3/m^3 = 0.001 kg/g * 1/10^9 cm^3/m^3 = 0.001/10^9 kg/m^3 = 1 kg/m^3.This is how you can convert g/cm3 to kg/m3.

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It is given that:

Dividing both sides by 0.14, it follows that:

Therefore, the worth of $29.11 in Yuan is given by:

a) Therefore, the worth of $ 29.11 in Yuan is ¥ 207.14

Therefore, the worth of ¥ 175.89 in dollars is given by:

b) Therefore, the worth of ¥ 175.89 in dollars is $ 24.62

The natural frequency of a string increases by tightening the string. The correct option is B.

The frequency at which a system is prone to oscillate when there is no external force acting on it. The normal mode is the oscillation pattern of a system operating at its fundamental frequency.

The sound frequency of musical instruments can be controlled by changing the settings of the strings.  When the string of an instrument is stretched between two points, the tightened strings produce tension. Here, tension refers to how tightly the string is being stretched.

The tightening of the string provides higher frequency. The higher frequency vibrations are carried to the ear which considers high frequency as a high pitch.

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Answer:

hope it is helpful:)....

In the 1980s and 1990s, many urban area kids in New York turned to "Selling Drugs" as a means of supplemental income as a means of escape.

The crack epidemic that ravaged New York City with in 1980s was beginning to fade by the early 1990s, and crime rates were also declining.

Thus, during the 1980s and 1990s, many urban area kids in New York turned to "Selling Drugs" as a means of supplemental income as a means of escape.

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Answer:

Yes

Step-by-step explanation:

From the origin means from the centre or middle but about a vertex is from a named point.