What is the greatest common what is the greatest common factor of 6a2b2 and 15a4b37

a
3ab
b
3a4b3
с
6ab
d
3a2b2

The correct answer is c. both A and B are correct. When one increases the confidence level from 0.90 to 0.95, the margin of error will increase because a higher level of confidence requires a wider interval to capture the population parameter.

However, the resulting confidence interval will also capture the population parameter more often because the higher confidence level provides a greater level of certainty that the interval contains the true population parameter.

When one increases the confidence level (1-α), say from 0.90 to 0.95, both A and B are correct.

Explanation:
a. The margin of error will increase because increasing the confidence level means we are more certain that the population parameter lies within the confidence interval. To achieve this, the interval has to be wider, which results in a larger margin of error.

b. The resulting confidence interval will capture the population parameter more often because a higher confidence level indicates a higher probability that the interval contains the true population parameter. In this case, going from a 0.90 to 0.95 confidence level means that we would expect the interval to capture the true population parameter 95% of the time, as opposed to 90% of the time.

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Answer:

108ft²

Step-by-step explanation:

I took the test.

Answer:

$1,800

Step-by-step explanation:

If the Smiths agree to the installment plan and pay $150 every month for 12 months, it will add up to $1,800 at the end of the year.

Answer:

The answer is 3x-y-2=0

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

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

The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = 3x - 2 ← in slope- intercept form

subtract y from both sides

0 = 3x - y - 2 , that is

3x - y - 2 = 0 ← in general form

+Answer:

You are lying more then telling the truth.

Step-by-step explanation:

At first, it was a lie but a coincidence happened, so it is more lying in my opinion.

Answer:

(a) slope is 1 y intercept is (0, -5) graph is (1,-5)

(b) slope is -1 y intercept is ( 0,6) graph is (-1, 6)

(c) slope is 2 y intercept is (0,-3) graph is (2, -3)

(d) slope is -1 y intercept is (0,2) graph is (-1, 2)

Step-by-step explanation:

The perimeter of triangle JKL is  determined as 68 units.

The perimeter of triangle JKL is calculated as follows;

The perimeter of triangle JKL is the sum of all the distance round the triangle.

Perimeter = length JK + length LK + length JL

AL = CL = 12

Length LK = CL + CK = 12 + 8 = 20

JA = JB = 14

KB = CK = 8

Length JK = JB = KB = 14 + 8 = 22

Length JL = JA + AL = 14 + 12 = 26

The perimeter of triangle JKL is calculated as;

Perimeter = 20 + 22 + 26

Perimeter = 68 units.

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Answer:

11n

Step-by-step explanation:

We can use a diagram to show the backyard:

The length of the diagonal can be gotten using the Pythagorean Theorem given to be:

where c is the length of the hypotenuse and a and b are the other two sides.

Therefore, we can calculate the length of the hypotenuse to be:

The length of the chicken wire fence will be 51 m.

The leading coefficient of the polynomial is -2, and the degree of the polynomial is 3.

To identify the leading coefficient and degree of the polynomial, we need to consider the highest power of the variable in the polynomial expression.

In the given polynomial, -2y³ is the term with the highest power of y. The coefficient of this term, which is -2, is the leading coefficient of the polynomial. The degree of a polynomial is determined by the highest power of the variable. In this case, the highest power of y is 3 in the term -2y³. Therefore, the degree of the polynomial is 3.

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Answer:

Step-by-step explanation:

The proportion relationship is:

Using the table we find the value of k:

For the value of x = 125, the value of y is:

Answer:

perimeter=6x+10

area=2x^2+2x-24

Step-by-step explanation:

perimeter=2x+8+x-3+2x+8+x-3

area=(2x+8)(x-3)

Answer:

A. (49\(\pi\) - 98)ft^2

Step-by-step explanation:

90/360 * \(\pi\) * 14^2

=49\(\pi\)

49\(\pi\) * 2

=98

(49\(\pi\) - 98)ft^2

The probability of selecting a boy in each of the three classes is: 0.125

The probability of selection is simply the likelihood of selecting something out of a whole.

Now, in the class, there could be both boys and girls.

Now, since there are three classes and if we assume we have an equal number of boys and girls in each class, then we can say that:

Probability of a boy in class 1 = 0.5

Thus:

Probability of a boy in each of the three classes = 0.5 * 0.5 * 0.5

= 0.125

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Answer:

Step-by-step explanation:

6y - y = y(6 - 1) = y * 5

The answer is 5y.

Answer:

f(-2) = -2

Step-by-step explanation:

Step 1: Substitute -2 for the variable n.

f(-2) = (-2)^2 + 3(-2)

Step 2: Simplify the expression.

f(-2) = 4 - 6

Step 3: Evaluate the expression.

f(-2) = -2

Answer: We can't see the picture

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

it has 6 sides

please give brainliest

Answer:

6 faces

Step-by-step explanation:

The total surface area of a cylinder of radius 4 cm and height of 8cm in terms of pie is 96π cm².

Surface area of cylinder  = 2πr(r + h)

where

Therefore,

height  = 8 cm

radius = 4 cm

Hence,

Surface area of cylinder  = 2 × π × 4 (4 + 8)

Surface area of cylinder  = 8π(12)

Surface area of cylinder  = 96π cm²

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Answer:

c ≈ 6.08 m

Step-by-step explanation:

Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.

The cosine rule formula for finding a side length are as follows

c² = a² + b² - 2ab cosC

b² = a² + c² - 2ac cosB

c² = a² + b² - 2ab cosC

Using cosine rule

c² = 4² + 3² - 2 × 4 × 3 cos 120°

c² = 16 + 9 - 24 cos 120°

c² = 25 - 24 (-0.5)

c² = 25 + 12

c² = 37

square root both sides

c = √37

c = 6.0827625303

c ≈ 6.08 m

The time taken by the planes when they are 2000 miles apart is 2 hours.

We all know that formula of distance, speed and time is given by  distance = speed*time or time = distance/speed

Let x be the number of hours that the two planes will be 2000 miles apart.

Let 430x be the distance traveled by the first plane at 430 miles per hour

and 570x be the distance traveled by the second plane at 570 miles per hour.

here, 430x +570x =2000 is the total distance travelled by the first plane and the second plane

Solving yields the following steps:

1000x = 2000

Dividing 1000 to both sides of the above equation, we get

1000x/1000=2000/1000

So the value of x will be equivalent to 2

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We need to consider the general problem: \[-(ku')' + cu' + bu = f\]If we discretize by the finite element method with four elements.

On the first and last elements, we use linear shape functions, and on the middle two elements, we use quadratic shape functions. The resulting basis functions are given by:The basis functions ϕ1 and ϕ4 are linear while ϕ2 and ϕ3 are quadratic in nature. These basis functions are such that they follow the property of linearity and quadratic nature on each of the elements.

For the structure of the stiffness matrix K, we need to consider the discrete problem given by \[KU=F\]where U is the vector of nodal values of u, K is the stiffness matrix and F is the load vector. Considering the above equation and assuming constant values of k and c on each of the element we can write\[k_{1}\begin{bmatrix}1 & -1\\-1 & 1\end{bmatrix}+k_{2}\begin{bmatrix}2 & -2 & 1\\-2 & 4 & -2\\1 & -2 & 2\end{bmatrix}+k_{3}\begin{bmatrix}2 & -1\\-1 & 1\end{bmatrix}\]Here, the subscripts denote the element number. As we can observe, the resulting stiffness matrix K is symmetric and has a banded structure.

The element [1 1] and [2 2] are common to two elements while all the other elements are present on a single element only. Hence, we have four elements with five degrees of freedom. Thus, the stiffness matrix will be a 5 x 5 matrix and the structure of K is as follows:

$$\begin{bmatrix}k_{1}+2k_{2}& -k_{2}& & &\\-k_{2}&k_{2}+2k_{3} & -k_{3} & & \\ & -k_{3} & k_{1}+2k_{2}&-k_{2}& \\ & &-k_{2}& k_{2}+2k_{3}&-k_{3}\\ & & & -k_{3} & k_{3}+k_{2}\end{bmatrix}$$Conclusion:In this question, we considered the general problem given by -(ku')' + cu' + bu = f. We discretized it by the finite element method with four elements. On the first and last elements, we used linear shape functions, and on the middle two elements, we used quadratic shape functions. We sketched the resulting basis functions. The structure of the stiffness matrix K was then determined by ignoring boundary conditions. We observed that it is symmetric and has a banded structure.

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Answer:

EQUATION: X - 12 = 7X. SOLUTION: X = - 2.

Step-by-step explanation:

First, we do not know the number. When the number is unknown, it is a variable. I chose the variable, "X."

12 less than signals that we subtract 12. So that would be X - 12.

A product of 7 AND that number means we multiply 7 by X. That can be notated as 7X.

12 less than X is EQUAL to the product of 7 and X. So X - 12 = 7X.

To find the solution, we want to know the value of X. Move X to one side of the equation.

X - 12 = 7X

-X           -X

_________

-12     =   6X

Divide both sides by 6 to get X by itself.

X = - 2.

(a) The point estimate of the difference between the proportion of current smokers in 1991 and 2003 is 0.106 (10.6%).

(b) To calculate the 95% confidence interval, we need to use the formula:
point estimate +/- (critical value x standard error)
The critical value for a 95% confidence interval is 1.96. The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)],
where p1 and p2 are the proportions of current smokers in 1991 and 2003 respectively, and n1 and n2 are the sample sizes.
Using the given values, we get:
p1 = 10,752/42,000 = 0.256
p2 = 7,132/33,326 = 0.214
n1 = 42,000, n2 = 33,326
standard error = sqrt[(0.256(1-0.256)/42,000) + (0.214(1-0.214)/33,326)] = 0.0084
Thus, the 95% confidence interval is:
0.106 +/- (1.96 x 0.0084) = (0.090, 0.122)
(c) A 99% confidence interval of (0.034, 0.050) means that we are 99% confident that the true difference between the proportion of current smokers in 1991 and 2003 is somewhere within this range. Complete interpretation statement: "Since the number 0 is not included in the interval, there is strong evidence at the 99% level of a difference in the proportion of current smokers between 1991 and 2003."

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The ATI Capstone Comprehensive Assessment evaluation normally comprises of multiple-choice questions, with 90 to 130 possible answers. Certain versions may also include extra alternative questions kinds, such as fill-in-the-blank or select-all-that-apply

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Answer:

Answer: -4

Step-by-step explanation:

(3-x)/2 -4=-4

Step-by-step explanation:

Difference of 3 and x : 3-x

Half of it : (3-x)/2

And then four less : (3-x)/2 - 4

The answer to the trigonometry question in the picture attached is:

   = cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

Simplify 1-csc θ as follows:

1 - csc θ = (1 - csc θ)(1 + csc θ) / (1 + csc θ)

= 1 - csc^2 θ / (1 + csc θ)

= 1 - 1/sin^2 θ / (1 + 1/sin θ)

= 1 - sin^2 θ / (sin θ + 1)

= (sin θ - sin^2 θ) / (sin θ + 1)

Simplify 1+csc θ as follows:

1 + csc θ = (1 + csc θ)(1 - csc θ) / (1 - csc θ)

= 1 - csc^2 θ / (1 - csc θ)

= 1 - 1/sin^2 θ / (1 - 1/sin θ)

= 1 - sin^2 θ / (sin θ - 1)

= (sin θ + sin^2 θ) / (sin θ - 1)

Substitute the above simplifications in the expression cos θ/(1-csc θ) * 1+csc θ/(1+ csc θ) to get:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

Simplify the expression by canceling out the sin^2 θ terms:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

= cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

Simplify further by factoring out common terms in the numerator and denominator:

cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

= cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

Finally, simplify the expression by factoring out a sin θ term from the denominator:

cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

= cos θ * (1 + sin θ) / [sin θ * (1 - sin θ) * (sin θ + 1)]

= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

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Answer:

1)C

2)B

3)D

Step-by-step explanation:

1)C, since 160/3 does not equal to 55

2)B, since 2/8=0.25, 3/12=0.25 and so on

3)D, since 48/3=16

Hope I helped!