What is the difference between 34343 and 1212

The null hypothesis is formulated as a statement of equality to represent the assumption of no effect, no difference, or no relationship between variables in hypothesis testing.

The null hypothesis is typically formulated as a statement of equality because it represents the assumption or claim of no effect, no difference, or no relationship between variables in the context of statistical hypothesis testing.

When conducting hypothesis tests, we start with the assumption that there is no significant difference or relationship between variables, and any observed differences or relationships are merely due to random chance or sampling variability. The null hypothesis serves as a benchmark or reference point against which we compare the observed data.

Formulating the null hypothesis as a statement of equality allows for a clear and specific claim to be tested statistically. It sets the baseline or default position that is assumed to be true unless there is sufficient evidence to reject it in favor of an alternative hypothesis.

For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the population means are equal (μ1 = μ2). This implies that any observed difference in sample means is due to chance, rather than a true difference in the population means.

By specifying the null hypothesis as a statement of equality, statistical tests provide a framework to assess the likelihood of observing the obtained data under the assumption of no effect or no difference, allowing us to make inference and draw conclusions about the population parameters based on the evidence from the sample.

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The subjects would be randomized at random to receive the new medication, fish oil, or a placebo. The effectiveness of the new variance medicine would next be evaluated by comparing the outcomes of the various therapies.

The test would be conducted using a completely randomized experiment. This means that the 300 volunteers would be randomly assigned to the three different treatments: the new drug, fish oil, or the placebo. This ensures that any differences between the groups can be attributed to the treatments, and not any other factor. The volunteers would be monitored for a period of time, and the results of the treatments would be compared to determine the effectiveness of the new drug. This could be done through measuring changes in cholesterol and blood pressure levels, as well as any side effects of the treatments. In addition, the volunteers’ health and dietary habits should be monitored to ensure that any differences between the treatments are not caused by any other factors.

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Based on the amount of water that Nicolas drank in the morning, at lunch, and at basketball practice, the total amount of water that Nicolas drank was 1 ⁵ / 6 liters

To find the amount of water that Nicolas has drank in total, you should add up all the liters of water that he has been drinking.

Seeing as these fractions have different denominators, you should find the lowest common multiple of 3 and 2 as this would be the common denominator. The common denominator would therefore be 6.

Convert the fractions to have a decimal of 6 by dividing 6 by the denominator of the fraction and then multiplying the result by the numerator.

This converts the fractions of water Nicolas drank in the morning, at lunch, and at basketball practice to:

= 4 / 6 + 3 / 6 + 4 / 6

= 11 / 6

= 1 remainder 5

In mixed fractions this is:

= 1 ⁵ / 6 liters

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The larger of the two integers is 18 and the smaller integer is 17.

Integers are collection of whole numbers and negative numbers. Integers are not fractional numbers or decimal. Some examples of integers are -5,-25,0,13,9 .

Let us consider the smaller integer be x.

As the integers are consecutive, the larger integer is (x+1).

Now according to the given condition:

Twice the large integer=2(x+1)

15 less than the 3 times the smaller integer=3x-15

Now the value of these two expressions is equal.

Therefore: \(2(x+1)=3x+-15\)

Solving the above equation to find the value of x:

\(or,2(x+1)=3x-15\\or,2x+2=3x-15\\or,2x-3x=-15-2\\or,-x=-17\\or,x=17\)

Therefore the smaller integer is 17.

Larger integer(x+1) : 17+1=18

Therefore the integers are 17 and 18.

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Answer:

4 inches

Step-by-step explanation:

as you divide the answer by a half

10×2

=20÷5

=4

Answer:

i think is true because quad means 4 and a rectangle has 4 sides soooo i think i am right

\(\log_4 (2-x) = \log_4 (-5x-18)\\\\\implies 2-x = -5x -18\\\\\implies 5x -x = -18-2\\\\\implies 4x = -20\\\\\implies x = -\dfrac {20}4\\\\\implies x = -5\)

Answer:

5x+15

Step-by-step explanation:

area=Length X Width

area= 5   X   x+3

area=5(x+3)

area=5x+15

Answer:

The regular price is $38.69

Step-by-step explanation:

32.89 / 0.85 = 38.69411765

Answer:

a

Step-by-step explanation:

10+10+20+20=60

20+40=60

Answer:

the answer is A 1390

Answer:

 1331π cm³

Explanation:

\(\sf V_{cylinder} = \pi (radius)^2 (height)\)

Here given:

Hence find volume:

\(\sf \rightarrow\pi (11)^2 (11)\)

\(\sf \rightarrow 121\pi ( (11)\)

\(\sf \rightarrow 1331\pi \quad \approx \:\:\ 4181.46 \ cm^3\)

The argument can be symbolized as follows:

1. CI (Cat is ill)

2. FI (She was fighting)

3. AE (She ate too many mice)

4. FI ⟺ A (She was fighting only if she was attacked)

5. A ⟺ (LS ∨ SB) (She was attacked only if either the large Siamese or the small Beagle was out)

6. LS ⟺ S (The large Siamese was out only if it was sunny)

7. SB ⟺ W (The small Beagle was out only if it was warm)

8. ¬W ∧ ¬S (It was neither warm nor sunny)

To prove that she ate too many mice given the provided premises, we need to establish a logical deduction based on the symbols and relationships given.

1. CI (Cat is ill) - Given

2. FI ∨ AE (If the cat is ill, either she was fighting or ate too many mice) - Provided in the first sentence

3. FI ⟺ A (She was fighting only if she was attacked) - Provided in the second sentence

4. A ⟺ (LS ∨ SB) (She was attacked only if either the large Siamese or the small Beagle was out) - Provided in the third sentence

5. LS ⟺ S (The large Siamese was out only if it was sunny) - Provided in the fourth sentence

6. SB ⟺ W (The small Beagle was out only if it was warm) - Provided in the fourth sentence

7. ¬W ∧ ¬S (It was neither warm nor sunny) - Given

Now, we can start constructing the proof by applying logical deductions step by step.

8. ¬(W ∨ S) (De Morgan's Law, from 7)

9. ¬(SB ⟺ W) (Equivalence Law, from 6)

10. ¬(LS ⟺ S) (Equivalence Law, from 5)

11. ¬(A ⟺ (LS ∨ SB)) (Equivalence Law, from 4)

12. ¬(FI ⟺ A) (Equivalence Law, from 3)

13. ¬(FI ∨ AE) (Equivalence Law, from 2)

14. ¬FI ∧ ¬AE (De Morgan's Law, from 13)

15. ¬FI (Simplification, from 14)

16. ¬AE (Simplification, from 14)

17. ¬FI ∧ CI (Conjunction, from 15 and 1)

18. ¬(CI ⟶ ¬FI) (Implication Law, from 17)

19. CI ⟶ ¬FI (Contrapositive, from 18)

Since the negation of FI (not fighting) is true based on the premises, we can conclude that AE (ate too many mice) must be true. Therefore, the final deduction is AE (She ate too many mice).

Thus, the proof establishes that she ate too many mice based on the given premises and logical deductions.

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Answer:

geometric sequence

Step-by-step explanation:

A geometric sequence has a common ratio r between consecutive terms

\(\frac{a_{2} }{a_{1} }\) = \(\frac{\frac{1}{4} }{-\frac{1}{16} }\) = \(\frac{1}{4}\) × - 16 = - 4

\(\frac{a_{3} }{a_{2} }\) = \(\frac{-1}{\frac{1}{4} }\) = - 4

\(\frac{a_{4} }{a_{3} }\) = \(\frac{4}{-1}\) = - 4

\(\frac{a_{5} }{a_{4} }\) = \(\frac{-16}{4}\) = - 4

there is a common ratio r = - 4 between consecutive terms.

Then the sequence is geometric

Answer:16

Step-by-step explanation:

Answer:

20 % of 80 is 16.000

Step-by-step explanation:

Hope this Helps! :3

Answer:

171

Step-by-step explanation:

This is a Right triangle,

So this means that all the sides should add up to 180,

So far we have 9

So we will have to Subtract 9 from 180 which leaves us with 171,

I hope this is correct!!

Answer:

Nope

Step-by-step explanation:

The reason for this is that if it was rotated 180º, it would mean that the triangle was in QIII.

***And have a nice winter break!!!! ;***

Answer:

Step-by-step explanation:

y = mx + b  <-- slope intercept form

Looking at the line from point (0,-5) to (3,0)

The slope (mx), rise over run

Rises 5 (in the positive direction, up) and runs 3 (in the positive direction, right)

the slope being 5/3

Then the b being your y-intercept

-5 will be your b because the line crosses the y axis at (0,-5) but the y-intercept is -5

Overall: y = \(\frac{5}{3}\) x + (-5)

or

y = 5/3 x - 5

Answer:

a answer is correct

Step-by-step explanation:

A. 3.6 percent , implying that prices have increased 16-fold.

may be this is helpful answer!

The correct answer is c. 4 percent, implying that prices have increased 16-fold.

Given that we need to determine the average annual U.S. inflation rate was about,

If the average annual U.S. inflation rate over the last 80 years was 4 percent, it means that prices, on average, increased by 4 percent each year.

To calculate the total increase over 80 years, we can use the compound interest formula.

Using the formula \(A = P(1 + r/n)^{(nt)\), where:

A is the final amount (price increase),

P is the principal amount (initial price),

r is the annual interest rate (inflation rate),

n is the number of times interest is compounded per year (assuming it's compounded annually),

and t is the number of years,

We can plug in the values and solve for the factor by which prices have increased:

\(A = P(1 + r/n)^{(nt)\)

\(16 = 1(1 + 0.04/1)^{(1\times80)\)

Simplifying further:

\(16 = (1.04)^{80\)

Taking the 80th root of both sides:

\(16^{(1/80)} = 1.04\)

This implies that prices have increased by a factor of approximately 1.04, or 16-fold, over the last 80 years, given an average annual inflation rate of 4 percent.

Hence the correct answer is c.

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Answer:

-7.6

Step-by-step explanation:

We want to isolate the variable.

5y+25=-13

    -25 -25

5y=-38

Divide both sides by 5.

y=-7.6

Answer:

Subtract 25 from both sides of the equation5+25=−135+25−25=−13−252

Simplify

Divide both sides of the equation by the same term4

Simplify

Then you get Solution y= - 38/5

Step-by-step explanation:

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When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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Answer:

Step-by-step explanation:

Given:

3v = 5w

=> 3v/5 = w

6v + 18 = 16w

=> 6v + 18 = 16(3v/5)

=> 6v + 18 = 48v/5

=> 6v + 18 = 9.6v

=> 18 = 3.6v

=> v = 5

Let's refer back to our equation '3v = 5w'.

=> 3v = 5w

=> 3(5) = 5w

=> 15 = 5w

=> w = 3

Therefore, our answer is (v = 5; w = 3).

Hoped this helped.

\(3v = 5w ~~~....(i)\\\\6v +18 = 16w~~~ ....(ii)\\\\\text{From (i):}\\\\3v = 5w\\ \\\implies 2(3v) =2(5w) \\\\\implies 6v = 10w ~~~......(iii)\\\\(ii) - (iii):\\\\6v + 18 -6v = 16w -10w\\\\\implies 18 = 6w\\\\\implies w = \dfrac{18}6 = 3\)

\(\text{Substitute w =3 in equation (iii):}\\\\6v = 10(3) = 30\\\\\implies v =\dfrac{30} 6 = 5\\\\\\\text{Hence}~ v= 5 , ~w= 3\)

The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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The volume generated by rotating the region bounded by x = y, x = 0, and y = 6 about the x-axis is 144π cubic units.

To find the volume generated by rotating the region bounded by the curves x = y, x = 0, and y = 6 about the x-axis using the method of cylindrical shells, we can set up an integral.

The cylindrical shells method involves integrating the product of the height of the shell, the circumference, and the thickness of the shell.In this case, the height of each cylindrical shell will be given by y, the circumference will be 2πx, and the thickness will be dx.

The limits of integration for x will be from 0 to 6 since the region is bounded by x = 0 and y = 6. The volume V can be calculated as follows: V =  \(\int\limits^0_6 2πx * y dx\)

Since x = y, we can rewrite the integral as: V = ∫2πx * x dx V = \(\int\limits^0_6 x dx\) Evaluating the integral: V =  \(\int\limits^0_6 2πx * y dx\) = 2π * [(18 / 3) - (3 / 3)] V = 2π * (216 / 3) V = 2π * 72 V = 144π

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Answer:

C = 0.68w + 3.25t

C is total cost

Step-by-step explanation:

Answer: w=5

Step-by-step explanation:

The integral evaluates to ∫[θ=0 to π/2] ∫[r=10 cos(θ) to 10] (r^2 cos(θ)) dr dθ, where θ ranges from 0 to π/2 and r ranges from 10 cos(θ) to 10.

Evaluate the given integral by changing to polar coordinates, we need to express the integral in terms of polar coordinates (r, θ) instead of Cartesian coordinates (x, y).

The region d lies between the circles \(x^2 + y^2\) = 100 and \(x^2 + y^2\) = 10x. Converting these equations to polar coordinates, we have:

\(r^2 = 100 (since x^2 + y^2 = r^2)\)

\(r^2\) = 10r cos(θ) (since x = r cos(θ))

To find the limits of integration in terms of polar coordinates, we need to determine the range of r and θ values that cover the region d in the first quadrant.

From the equation \(r^2\) = 100, we have r = 10. This is the outer boundary of the region d.

From the equation \(r^2\) = 10r cos(θ), we can solve for r to find the inner boundary:

r = 10 cos(θ)

Therefore, the limits of integration for r are from 10 cos(θ) to 10.

For θ, since we are considering the first quadrant, the limits of integration are from 0 to π/2.

Now, we can express the integral in polar coordinates:

∬d x da = ∫[θ=0 to π/2] ∫[r=10 cos(θ) to 10] (r cos(θ)) r dr dθ

Simplifying this integral will provide the final result.

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The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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Step-by-step explanation:

100% is 24. divided by 2 giving you 50% which is 12. divided by another giving you 25% which is 6 so meaning you will subtract 6 out of 24 which is 18 so your answer is 18

Answer:

18

Step-by-step explanation: