8)What number is 60% of 140?

Answer:  what class are you taking

Step-by-step explanation:

If two samples have the same mean but different standard deviations, the sample with the larger standard deviation will have a wider 95% confidence interval.

This is because the standard deviation is a measure of the variability of the data, and a larger standard deviation indicates that the data points are more spread out from the mean.

The confidence interval is a range of values that we can be reasonably confident contains the true population mean. The width of the confidence interval depends on the standard error of the mean, which is calculated as the standard deviation of the sample divided by the square root of the sample size.

Since the larger standard deviation in sample b implies a larger standard error of the mean, the confidence interval for sample b will be wider than that of sample a, even though both samples have the same mean and sample size. We will be less precise in estimating the true population mean with sample b than with sample a.

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The expression A² – (B + C) in its simplest form is 8x² – 25x + 7

A polynomial function is an expression constructed with one or more terms of variables with constant exponents.

Data obtained from the question

A = 3x – 4, B = x + 7, C = x² + 2, A² – (B + C) =?

The simplest form of the polynomial is given by;

(3x – 4)² – (x + 7 + x² + 2)

9x² – 12x – 12x + 16 – (x + x² + 9)

9x² – 24x + 16 – x – x² – 9

9x² – x² – 24x – x + 16  – 9

8x² – 25x + 7

Hence, the simplest form of the polynomial is A² – (B + C) = 8x² – 25x + 7.

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Answer: A: 8x^2 - 25x + 7

Step-by-step explanation: got it right :)

Answer:

x = 4

Step-by-step explanation:

Simplifying

3x + 15 = 6x + 3

Reorder the terms:

15 + 3x = 6x + 3

Reorder the terms:

15 + 3x = 3 + 6x

Solving

15 + 3x = 3 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

15 + 3x + -6x = 3 + 6x + -6x

Combine like terms: 3x + -6x = -3x

15 + -3x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0

15 + -3x = 3 + 0

15 + -3x = 3

Add '-15' to each side of the equation.

15 + -15 + -3x = 3 + -15

Combine like terms: 15 + -15 = 0

0 + -3x = 3 + -15

-3x = 3 + -15

Combine like terms: 3 + -15 = -12

-3x = -12

Divide each side by '-3'.

x = 4

Simplifying

x = 4

Distinct prime factors does the product of these numbers have 2,3 , and 5 are the three distinct prime factors

Prime factorization is a process of factoring a number in terms of prime numbers i.e. the factors will be prime numbers.

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

As we know, a composite number has more than two factors, therefore, this method is applicable only for composite numbers and not for prime numbers.

The numbers must be 4,5 , and 6 .

4+5+6=15 and

4*5*6=120

=2^3*3*5

Distinct prime factors does the product of these numbers have 2,3 , and 5 are the three distinct prime factors.

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Distinct prime factors do the product of these numbers have 2,3, and 5 are the three distinct prime factors

Prime factorization is a process of factoring a number in terms of prime numbers i.e. the factors will be prime numbers.

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

As we know, a composite number has more than two factors, therefore, this method is applicable only to composite numbers and not to prime numbers.

The numbers must be 4,5, and 6.

4+5+6=15 and

4*5*6=120

=2^3*3*5

Distinct prime factors the product of these numbers have 2,3, and 5 are the three distinct prime factors.

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Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

49

Step-by-step explanation:

Answer:

98/2=49

Hence, 49 is doubled to get 98.

Step-by-step explanation:

Answer:

(2x + 1) (2x-b)

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

ED and EC

Step-by-step explanation:

If the two rays which extend in the opposite direction having same endpoint is said to be opposite rays.

From the picture attached,

Rays having same endpoint E but not in the opposite directions are ED and EC.

This pair of rays meet at point E having different directions.

Similarly EA and EB is the other pair of rays having same end point (at E) but not in opposite directions.  

Answer: 2 quarters, a dime and a nickel

Step-by-step explanation: There are multiple ways to do this, but with a single dollar it would be 100(cents in a dollar) divided by the 65%. The 65% is just 65/1, which is 65 cents. Almost any coins that add to 65 cents will work.

lower limit of the 99% interval = 3.7265

Upper limit of the 99% interval = 6.1535

What do you mean  by standard deviation?

The standard deviation is a quantity that reveals the degree of variation (such as spread, dispersion, and spread) from the mean.

Number of students, n = 11

Averange time , mean , μ = 4.94

Standard deviation , \(s_{x}\) = 1.27

Significance level , α = 1 -= 0.99 = 0.01

Degree of freedom for t-distribution , d.f. = n - 1 = 11 - 1 = 10

Critical value = \(t_{\alpha /2,d.f\) = \(t_{0.005,10}\) = 3.169

Margin of error ,E = \(t_{\alpha /2,d.f\) × \(\frac{s_{x} }{\sqrt{n} }\) = 3.169  ×\(\frac{1.27}{\sqrt{11} }\) = 3.169 × 0.38292 = 1.21347

Limits of 99% confidence intervals are given by:

a) Lower limit = μ - E = 4.94 - 1.21347 = 3.7265

b) Upper limit = μ + E = 4.94 + 1.21347 = 6.1535

Therefore, lower limit of the 99% interval = 3.7265

Upper limit of the 99% interval = 6.1535

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AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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C. May or may not increase in size even if the added variable has statistical significance.

The R-squared value measures the proportion of variance in the dependent variable that is explained by the model, including the independent variable.

Therefore, if an independent variable is added to the model and it is statistically significant, then it will increase the R-squared value. However, if the variable added is not statistically significant, then it will not have an effect on the R-squared value.

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Answer:

y=-8

Step-by-step explanation:

7(y + 2) – (4y – 10)

=7y+14-4y+10

=3y+24

3y=-24

y=-8

Answer:

.15 meters

Step-by-step explanation:

answer is B

Step-by-step explanation:

150 mm is 0.15 metres

Answer:

y = 3x - 1

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define equation

y - 3x = -1

Step 2: Find Slope-Intercept Form

And we have our final answer!

Answer:

9

Step-by-step explanation:

14-5=9

therefore TV=9

hope this helped

Answer:

Step-by-step explanation:

To find the length of the arc of the circular helix from the point (3, 0, 0) to the point (3, 0, 2), we need to integrate the magnitude of the derivative of the vector equation with respect to the parameter t over the desired interval.

The vector equation of the circular helix is given by r(t) = 3cos(t)i + 3sin(t)j + tk.

To find the derivative of r(t), we differentiate each component with respect to t:

r'(t) = (-3sin(t))i + (3cos(t))j + k

The magnitude of the derivative is given by ||r'(t)|| = sqrt((-3sin(t))^2 + (3cos(t))^2 + 1^2) = sqrt(9sin^2(t) + 9cos^2(t) + 1) = sqrt(9(sin^2(t) + cos^2(t)) + 1) = sqrt(9 + 1) = sqrt(10).

Integrating this magnitude from t = 0 to t = 2 (the desired interval), we have:

Length of the arc = ∫[0 to 2] ||r'(t)|| dt = ∫[0 to 2] sqrt(10) dt = sqrt(10) ∫[0 to 2] dt = sqrt(10) [t] [0 to 2] = sqrt(10)(2 - 0) = 2sqrt(10).

Therefore, the length of the arc of the circular helix from the point (3, 0, 0) to the point (3, 0, 2) is 2sqrt(10) units.

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Answer:

Step-by-step explanation:

1. Notice that these angles are vertical angles which are angles opposite each other when two lines cross, they share the same vertex. Vertical angles are congruent angles.

Therefore,

2. In this case, the angles shown are complementary, which mean they must add up 90 degrees:

Answer:

100 degrees

Step-by-step explanation:

You can tell by just looking at the picture :)

Answer:

304 divided by 8 in decimal = 38

304 divided by 8 in fraction = 304/8

304 divided by 8 in percentage = 3800%

Step-by-step explanation: You just simply divide.

Answer:

Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.

Step-by-step explanation:

f(x) = 0.5x + 10

0.5x + 10 = 18.5

0.5x = 18.5 - 10

0.5x = 8.5

x = 8.5/0.5

x = 17 days

When procedures are mandated by third party payers, the modifier -32 (mandated services) is used. This modifier is used to indicate that a service or procedure is mandated by a third party payer, such as Medicare or Medicaid.

It is used to ensure that the service or procedure is reimbursed appropriately and to avoid denials. The use of the -32 modifier is important to accurately reflect the requirements of the payer and to avoid any potential billing or coding errors. It is important to check with the specific payer to determine if the use of this modifier is required for a particular service or procedure.

When procedures are "mandated" by third-party payers, you would use the modifier -32. This modifier indicates that a service or procedure is being performed due to specific requirements from a third-party payer. It helps to provide the necessary information for reimbursement and ensures that the claim is processed correctly by the payer. Remember to attach the modifier -32 to the appropriate procedure code on the claim form when submitting it to the third-party payer. This will help avoid any potential delays or denials in payment due to insufficient documentation.

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Answer:

60 Sq in

Step-by-step explanation:

14×6= 84

4×6=24

84-24= 60

.

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