the proportion of people in each sample who experience side effects is recorded. are the sample sizes large enough to assume that the sampling distribution of the difference in sample proportions is approximately normal?

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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The binomial probability formula, which includes the terms probability, combinations, and success/failure rate.

Given that 8 out of 10 Crestview residents shop at Walmart, the probability of success (shopping at Walmart) is 0.8, and the probability of failure (not shopping at Walmart) is 0.2. We're looking for the probability that at least 12 out of 14 randomly selected residents shop at Walmart.
Using the binomial probability formula, we have:
P(X ≥ 12) = P(X = 12) + P(X = 13) + P(X = 14), where X represents the number of residents who shop at Walmart.

We calculate the probabilities for each scenario:
P(X = 12) = C(14, 12) * (0.8)¹² * (0.2)²
P(X = 13) = C(14, 13) * (0.8)¹³ * (0.2)¹
P(X = 14) = C(14, 14) * (0.8)¹⁴ * (0.2)⁰
Sum the probabilities: P(X ≥ 12) = P(X = 12) + P(X = 13) + P(X = 14)
Compute the values and add them up to get the final probability.

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Answer:

D.

Mark me brainliest :))

The translations of each sentence into an equation or formula are A = L^2 and P = a + b +c

The sentences are given as:

For the first sentence, we have:

The area A of a square is the length of a side & squared.

This means that:

A = L^2

For the second sentence, we have:

The perimeter P of a triangle is equal to the sum of the lengths sides a, b, and c.

This means that

P = a + b +c

Hence, the translations of each sentence into an equation or formula are A = L^2 and P = a + b +c

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1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

x = 100°

Step-by-step explanation:

15° + 65° + x = 180°

80° + x = 180°

x = 100°

Answer:

Hello,

Step-by-step explanation:

Best fit: quadratic y=5.3x²-9.3+6.1

with an total error  of 0.4

Answer:

$2,820

Step-by-step explanation:

Since, £1 = $1.41

Therefore, £2,000 = 2000*1.41 = $2,820

(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`

(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`

Given that Frame zero, F0 is the fixed global frame.

For each of the cases below find T1

Case (a)

F1 is rotated by an angle θ about zo.

Let O be the origin of the fixed frame F0, A be the origin of the frame F1 and α be the angle between the x-axis of the frame F0 and the projection of the x-axis of the frame F1 on the xy plane of the frame F0.

Let l, m, n be the direction cosines of the vector from O to A, expressed in F0.

The content-loaded frame zero F0 is the fixed global frame, which means that the vectors i, j, k representing the x, y, and z-axis of F0 are fixed and cannot be transformed.

Therefore, the transformation matrix T1:0

in this case is:

`T1:0 = [l1 m1 n1 0; l2 m2 n2 0; l3 m3 n3 0; 0 0 0 1]`

Case (b)

F1 is rotated by θ about xo.

Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.

Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.

The transformation matrix T1:0

in this case is given by:

`T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`

Case (c)

F1 is rotated by θ about yo.

Let β be the angle between the y-axis of F0 and the projection of the y-axis of F1 on the yz plane of F0.

Let γ be the angle between the z-axis of F0 and the projection of the z-axis of F1 on the zx plane of F0.

The transformation matrix T1:0

in this case is given by:

`T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`

Thus, the transformation matrix T1:0

for the three cases (a), (b), and (c) are given as follows:

(a) `T1:0 = [cosθ sinθ 0 0; -sinθ cosθ 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cosθ sinθ 0; 0 -sinθ cosθ 0; 0 0 0 1]`

(c) `T1:0 = [cosθ 0 -sinθ 0; 0 1 0 0; sinθ 0 cosθ 0; 0 0 0 1]`

Given θ = 150,

T1:0 for the three cases are:

(a) `T1:0 = [cos150 sin150 0 0; -sin150 cos150 0 0; 0 0 1 0; 0 0 0 1]`

(b) `T1:0 = [1 0 0 0; 0 cos150 sin150 0; 0 -sin150 cos150 0; 0 0 0 1]`

(c) `T1:0 = [cos150 0 -sin150 0; 0 1 0 0; sin150 0 cos150 0; 0 0 0 1]`

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Interior angles sum: 180(3-2) = 180

180 - (76 + 59) = 45

Your answer: 45

Answer:

45°

Step-by-step explanation:

USING TRIANGLE ANGLE SUM THEOREM:-

Hope it helps! :) ~

Answer:

The point-slope form  of the line is:

\(y + 4 = 4(x+3)\)

Hence, option B is correct.

Step-by-step explanation:

We know the point-slope form of the line equation is

\(y-y_1=m\left(x-x_1\right)\)

where

Given

The slope m = 4

From the graph, we can take the point (-3, -4)

So, in our case:

(x₁, y₁) = (-3, -4)

m = 4

now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

\(y - (-4) = 4(x - (-3))\)

\(y + 4 = 4(x+3)\)

Therefore, the point-slope form  of the line is:

\(y + 4 = 4(x+3)\)

Hence, option B is correct.

Answer:

Fraction: 3/10

Decimal: 0.30

Step-by-step explanation:

Answer:

0.30 or 0.3
(three tenths)

3/10

(and also three tenths)

or

30/100

Step-by-step explanation:

The required values of the given scale images are as follows:

a. x = 17.5, b. x = 16.67, and x = 5.

a. As we know that scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

As per the given figure a, we can be written as:

35/x = 18/9

35 × 9 = 18x

x = (35 × 9)/18

x = 17.5

b. As per the given figure b, we can be written as:

x/10 = 15/9

x = (15 × 10)/9

x = 150/9

x = 16.67

c. As per the given figure c, we can be written as:

x/2 = 15/6

x = (15 × 2)/6

x = 5

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Answer:

24°

Step-by-step explanation:

72÷3=24

Answer:

∠ 1 = 24°

Step-by-step explanation:

∠ WXZ = ∠ WXY + ∠ YXZ , that is

72° = ∠ 1 + 2∠ 1 = 3∠ 1 ( divide both sides by 3 )

24° = ∠ 1

Answer:

its 1256

Step-by-step explanation:

i took the test and got it right

The given calculations and data,

a. Void Fraction (ε) = -0.663

b. Effective Diameter (Dp) = 1.26 x 10²-5 m

c. Specific Area (a) = 0.507 m²/m³

To calculate the void fraction (ε), effective diameter (Dp), and specific area (a) for the packed bed, we can use the following formulas:

a. Void Fraction (ε):

The void fraction is the ratio of the volume of void spaces (empty spaces between particles) to the total volume of the packed bed.

ε = (Vv / Vt)

Where:

Vv is the volume of void spaces

Vt is the total volume of the packed bed

Since we know the bulk density (ρb) and the density of the solid cylinders (ρs), we can relate them to the void fraction:

ε = (ρb - ρs) / ρb

Plugging in the values:

ε = (962 kg/m³- 1600 kg/m³) / 962 kg/m³

ε = -0.663

b. Effective Diameter (Dp):

The effective diameter is a representative measure of the particle size in the packed bed.

Dp = (4 × Vt) / (π × N)

Where:

Vt is the total volume of the packed bed

N is the number of solid cylinders in the packed bed

Given that the packed bed is composed of solid cylinders with diameter D = 0.02 m and length h = D, the volume of each cylinder is:

Vcylinder = π × (D/2)² × h = π ×(0.02/2)² ×0.02 = 1.57 x 10²-5 m³

The number of solid cylinders (N) in the packed bed can be calculated using the total volume (Vt) and the volume of each cylinder (Vcylinder):

N = Vt / Vcylinder = 1 m³/ 1.57 x 10²-5 m³ = 6.37 x 10²

Plugging in the values:

Dp = (4 × 1) / (π × 6.37 x 10²) = 1.26 x 10²-5 m

c. Specific Area (a):

The specific area is the total surface area of the solid particles per unit volume of the packed bed.

a = (6 × N × π × (D/2)²) / Vt

Plugging in the values:

a = (6 × 6.37 x 10² × π × (0.02/2)²) / 1 =0.507 m²/m³

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you should mix 4.5 quarts of 100% juice and 1.5 quarts of 20% juice. a=4.5, b= 1.5

The US liquid quart is equivalent to two liquid pints, or one-fourth US gallon (57.75 cubic inches, or 946.35 cubic centimetres), and the US dry quart is equivalent to two dry pints, or 1/32 bushels (67.2 cubic inches, or 1,101.22 cubic cm). 32 ounces, 2 pints, 4 cups, and 14 gallon are all equivalent to one US liquid quart. When converting any dry component, keep in mind that a dry quart is equivalent to 4.6546 cups. A quarter gallon is equal to one quart in English (symbol: qt). The liquid and dry quarts of the US customary system and the imperial quart of the British imperial system are the three types of quarts now in use. They all generally measure one litre.

Let you should mix a quarts of 100% juice and b quarts of 20% juice.

\(a+b=6\)

100%a+20%b=6*8%

By solving the system of equation.

a=4.5

b= 1.5

So you should mix 4.5 quarts of 100% juice and 1.5 quarts of 20%.

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Step-by-step explanation:

in the slope- intercept form

y = mx + b

m is the slope, b is the y-intercept (the y-value when x = 0).

a parallel line must have the same slope, but a different y- intercept.

as you can see, the slope is always the factor of x, when we have a "y = ..." form.

so, coming from

3x + 4y = 15

4y = -3x + 15

y = (-3/4)x + 15/4

the slope is therefore -3/4.

b we get by using the given point coordinates in the equation :

-2 = (-3/4)×8 + b = -24/4 + b

b = -2 + 24/4 = -2 + 6 = 4

so, the full equation is

y = (-3/4)x + 4

Answer:

the value of ST is 2 of its x is 2

Answer:

3/2

Step-by-step explanation:

the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

so, when we have 2 points, we can look at the difference of the x and y coordinates. y difference / x difference is the slope.

going from (3, 4) to (5, 7) changes x by +2 and y by +3.

so, the slope of the line is 3/2

Answer:

A is the correct answer

please tell me if I'm wrong

Answer:

-2.8

Step-by-step explanation:

Given that:

Mean, μ = 78

Standard deviation, σ = 5

Omar's score, x = 64

The Zscore of Omar's score :

Zscore = (x - μ) ÷ σ

Zscore = (64 - 78) / 5

Zscore = - 14 / 5

Zscore = - 2.8

Hence, Omar's exam score is - 2.8

Answer:

-2.8 is correct

Step-by-step explanation:

The mean of the numbers means that it is average of the given numbers.

According to the question,

We have the following information:

Mean of the numbers

We know that the mean of a given data set means that we add all the numbers in data set and divide the obtained result by the total numbers.

For example, we have a following data set:

2,5 and 8

Total numbers in the set = 3

Now, the mean of these numbers will be:

Mean = (2+5+8)/3

Mean = 15/3

Mean of the numbers = 5

So, in other words, it can be expressed as the average of the numbers.

Hence, the mean of the numbers means that it is average of the given numbers.

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