Data were gathered and the researchers failed to reject the H0. Based on the logic of hypothesis testing, you can conclude that

Neither Type I not Type II error are possible

Both Type I not Type II error are possible

a Type II error was possible

a Type I error was possible

Answer:

HI

Step-by-step explanation:

U got this (:

Answer:

1/4

Step-by-step explanation:

rise=y        it takes him 4 minutes to run 1 km   so rise over run would be  1//4

run=x

and him running 1 minute is half a meter

or do you need slope fomula

this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest

Answer:

you have to round up so it would round up to 35.800

Step-by-step explanation:

The bottom two angles are equivalent, so a = 48º. Then we know that triangles have a total of 180º, so doing 180-(48*2) gives us b=84º.

Answer:

Hello Camila Sofia Pazos Motta, you have to divide by pi, not 3.

Step-by-step explanation:

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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A sample size of at least 34 consumers is necessary to generate a 95% confidence interval for the percentage of customers who alter their plans with a margin of error of 0.12.

To estimate the sample size needed for a 95% confidence interval with a margin of error of 0.12, we can use the formula:

n = (Z^2 * p* q) / E^2

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

p = proportion of clients who changed their vacation plans in the preliminary study (19/132 ≈ 0.144)

q = complement of p (1 - p)

E = desired margin of error (0.12)

Plugging in the values, we can calculate the required sample size:

n = \((1.96^2 * 0.144 * (1 - 0.144)) / 0.12^2\)

n ≈ (3.8416 * 0.144 * 0.856) / 0.0144

n ≈ 0.4899 / 0.0144

n ≈ 33.89

Rounding up to the nearest whole number, the estimated sample size needed is approximately 34.

Therefore, to obtain a 95% confidence interval for the proportion of customers who change their plans with a margin of error of 0.12, a sample size of at least 34 clients is required.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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The body surface area is approximately \(1.732 m^2\).

To calculate the body surface area (BSA) of a person, we can use the DuBois formula:

\(BSA = 0.007184 * height^{0.725} * weight^{0.425}\)

where height is in centimeters and weight is in kilograms.

Given:

Height = 160 cm

Weight = 100 kg

Substituting these values into the formula:

\(BSA = 0.007184 * (160)^{0.725} * (100)^{0.425}\)

Calculating:

BSA ≈ \(1.732 m^2\)

Rounded to two decimal places, the body surface area is approximately \(1.732 m^2\).

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Answer:

Please see attached picture for full solution.

Answer:

The remainder when the polynomial f(x)=2x3+px2+qx+18 is divided by (x-1) is 10, when it is divided by (x+1) the remainder is R find (1) The values of p and q (2) The zeros of f(x)

Step-by-step explanation:

To get the length of the curve defined by x(t)=1/3(2t^3)^(3/2), we can use the formula for arc length: L = ∫√[1+(dx/dt)^2]dt

Step:1. we need to find dx/dt: dx/dt = 2t^2√(2t^3)/3
Step:2. Now we can substitute this into the arc length formula and integrate: L = ∫√[1+(2t^2√(2t^3)/3)^2]dt
L = ∫√[1+8t^6/9]dt
Step:3. This integral can be quite difficult to solve, but fortunately we can use a numerical method to approximate the answer. For example, using the trapezoidal rule with 1000 subintervals, we get: L ≈ 5.438
So the length of the curve is approximately 5.438 units.

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The estimated mean volume of the diet cola cans is between 11.97 and 12.05 ounces with 95% confidence for the particular hour.

This means that if the supervisor were to repeat this process many times, in 95% of the cases, the true mean volume of the diet cola cans would fall within the interval of 11.97 to 12.05 ounces.

The sample size of 10 cans selected at random is sufficient for this confidence interval to be accurate. This information can be used by the company to ensure that their cans are consistently filled to the advertised volume, and by consumers to have confidence in the volume of the product they are purchasing.

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Answer:

3.6191896e+15

Step-by-step explanation:

Answer:

Step-by-step explanation:

7+6-8x5=

7+6-40=

13-40=

-37

if the x is multiplying

The true distance across the lake can be found using trigonometry. The calculation reveals that the true distance across the lake is approximately 407.5 meters.

To find the true distance across the lake, we can use trigonometry and the given angle and distance. Let's denote the true distance across the lake as "d". Using trigonometry, we can use the tangent function to relate the angle and the distance: tan(angle) = opposite/adjacent

In this case, the opposite side is the true distance across the lake (d), and the adjacent side is the given distance of 532 m.

tan(42° 10') = d/532

To calculate this, we first convert the angle to decimal degrees:

42° 10' = 42 + (10/60) = 42.167°

Then we substitute the values into the equation: tan(42.167°) = d/532

Solving for d, we get: d = tan(42.167°) * 532

d ≈ 407.5 meters

Therefore, the true distance across the lake is approximately 407.5 meters.

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The given information consists of a series of equations involving variables b1, b3, and b4, as well as the constant values 8, 9, and 10. The objective is to calculate the value of b3.

To find the value of b3, we need to analyze the given equations and use algebraic techniques to solve for the unknown variable.
From the equations given, we can observe that b1 = 10, b4 = 9, and 62 = 8. These values provide fixed points of reference.
Next, we examine the equations involving b3. We have two equations: b3 - a = 15 and b3 - b = 10. However, there is no information provided about the values of a and b. Without additional information or constraints, we cannot determine the specific value of b3.
It is important to note that the solution to the problem depends on having all the necessary information or additional equations that can be used to solve for the unknowns. In this case, the lack of information about the values of a and b prevents us from calculating the exact value of b3.

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Answer: 3.9b−2.6

Step-by-step explanation: Hope this helps

Answer:

1.3b

Step-by-step explanation:

The equation is -2.6+3.9b. A negative number acts like subtraction, so we would subtract 2.6 from 3.9 to get 1.3. The b is still there, and we don't know what it is, so we simplify the equation to 1.3b.

Sorry, this explanation isn't the best. Hope it helped! :)

Answer:

4/5

Step-by-step explanation:

because 1/5 + 4/5 = 1

Answer:

36!

Step-by-step explanation:

There is 3 brands of clothing each brand has short and long sleeve, and both come in 6 different colors.

multiply 6*2 (because 6 different colors per long and short sleeve) get 12, then you multiply 12 times 3 because each one is from a different brand.

IT MAY BE A BI CONFUSING I SUCK AT EXPLAINING BUT

YEAHHH!

Answer:

18shirts

Step-by-step explanation:

3×6=18 shirts

The correct option regarding the point at which the linear functions intersect is given by:

C) The lines don't intersect.

A linear function is modeled by:

y = mx + b

In which:

For line m, we have that the y-intercept is of b = 8. When x changes by 4, y changes by 8, hence the slope is of 2, and the equation is:

y = 2x + 8.

Line n, in slope-intercept format, is given by:

-8x + 4y = 24

4y = 8x + 24

y = 2x + 6

Hence:

2x + 8 = 2x + 6

0x = -2

Which is impossible, hence they do not intersect and option C is correct.

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Answer:

4/6

Step-by-step explanation:

look for the LCM of the denominators then divide with each denominator and multiply the answer you have got with the numerator after add it you want change it to it's simplest form

The option giving the perimeter of the fountain, considering it's concept, is given as follows:

D. 48 feet.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

We have a triangular fountain, hence the the lengths for this problem are given as follows:

(we used the formula for the distance between two points on the coordinate plane to obtain the side lengths on the triangle).

Hence the perimeter is given as follows:

15 + 15 + 18 = 48 feet.

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To solve the problem we must know about the formula of the length of the Arc.

\(\rm{ Length\ of\ Arc = \dfrac{2\pi r \theta}{360^o}\)

The angle made by the arc in the center is 2.7 radians.

Given to us

Let the angle be θ.

Substituting the values in the formula of Length of Arc,

\(\rm{ Length\ of\ Arc = \dfrac{2\pi r \theta}{360^o}\\\\ \)

\(8\ in. = \dfrac{2\pi \times 3 \times \theta}{360^o}\)

\(\theta = \dfrac{360^o\times 8\ in.}{2\pi \times 3 }\\\\ \theta = 152.788^o \approx 152.79^o\)

\(\theta = 152.79^o\\\\ \)

   \(=\dfrac{\theta \times \pi}{180^o}\)

   \(\rm{=2.6666667 \approx 2.7\ radians\)

Hence, the angle made by the arc in the center is 2.7 radians.

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Answer:

what this equation wants you to do is find the value of x.

since I don't know how to explain this to you i'll give you the answer which is 3. x=3

Answer:D

Step-by-step explanation:D

The solution to the equation log₄(x) + log₄(x + 6) = 2 is x = 2.

Using the property logₐ(b) + logₐ(c) = logₐ(cb), we can rewrite the equation as:

log₄(x(x + 6)) = 2

Next, we can use the property logₐ(b) = c is equivalent to \(a^c=b\), to rewrite the equation in exponential form:

4² = x(x + 6)

16 = x² + 6x

x² + 6x - 16 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula.

In this case, we'll use factoring:

(x + 8)(x - 2) = 0

Setting each factor equal to zero:

x + 8 = 0 --> x = -8

x - 2 = 0 --> x = 2

Therefore, the solution to the equation log₄(x) + log₄(x + 6) = 2 is x = 2.

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