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The key's length rounded to the nearest millimeter is 6 cm.

What are the factors?

what are factorsIn mathematics, a factor is a number that divides another number without leaving a remainder.

To convert the key's length to the nearest half inch, we can use the conversion factor: 1 inch = 2.54 cm.

First, we convert 6.3 cm to inches:

6.3 cm ÷ 2.54 cm/inch = 2.48 inches

Next, we round 2.48 to the nearest half inch:

2.48 rounded to the nearest half inch is 2.5 inches

To convert the key's length to the nearest millimeter, we simply round the length in centimeters to the nearest whole number. Since there are 10 millimeters in a centimeter, rounding to the nearest millimeter means determining which whole number of centimeters is closest to the given length.

Therefore, the key's length to the nearest half inch is 2 1/2 inches.

To convert the key's length to the nearest millimetre, we can simply round 6.3 cm to the nearest whole number:

6.3 cm rounded to the nearest millimetre is 6 cm.

Therefore, the key's length rounded to the nearest millimeter is 6 cm.

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Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

Answer:

8%

Step-by-step explanation:

Add 2 and 23 together to get 25.

Divide 2 by 25 to get 0.08.

Covert 0.08 into percentage: 8%

Answer:

1,3,4,6,8} { 1 , 3 , 4 , 6 , 8 }. Range:{2,4,5,7,9}

Step-by-step explanation:

The domain is the set of all the values of x x . The range is the set of all the values of y y .

Answer:

it's 40 because you add them up I learned it last quarter

Answer: The two consecutive integers are 29 and 30

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Work Shown:

x = first integer

x+1 = second integer that follows immediately after x

Consecutive integers are numbers like {4,5,6,7,...} ones that follow right after another.

Add up those expressions and set the sum equal to 59. Then solve for x

x+(x+1) = 59

2x+1 = 59

2x = 59-1

2x = 58

x = 58/2

x = 29

So 29 is the first number

x+1 = 29+1 = 30

and 30 is the next number

As a check, 29+30 = 59 which confirms our answer.

Step-by-step explanation:

It wants u to cross and multiply so what i would do is put both of them together and multiply across and when u get the answers that u multiply u then divide to see what was the lowest and what the greatest ratio was so for me i would gi with a

Answer:

\(3.126666666666...=3.12\overline{6}\)

Step-by-step explanation:

If the decimal number is repeating, then bar notation is used. A symbol called "bar" is used to express that type of numbers. it is placed at the top of the number that is repeating.

We have a number i.e. 3.126666666666...

We need express it in bar notation.

In this problem, 6 is repeating. It means "bar" is placed over 6.

So,

\(3.126666666666...=3.12\overline{6}\)

It is the bar notation of 3.126666666666...

The ways to pack are

This is further explained below.

Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.

In conclusion,

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Answer:

1. H0: u = 500

2. H1: u <500

3. One sample t test

Step-by-step explanation:

1. The null hypothesis in this question would be

H0: u = 500

2. The alternative hypothesis would be

H1: u < 500

3. The test that we are going to be using is the one sample t test. This test is used to test hypothesis. It would make a comparison of h0 to the mean of the sample. Now we are using this here because the sample standard deviation was given

Answer:

2.04

Step-by-step explanation:

\(5.33-3.29=2.04\)

Answer:

2.04

Step-by-step explanation:

5.33-3.29=2.045.33−3.29=2.04

Answer:

Step-by-step explanation:

3,2

the lines meet at 2 y, and 3 x

X goes first, and y goes second

The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

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A population includes all elements or objects of interest in a study, whereas a sample is a subset of the population used to gain insights into the characteristics of the population.

The following statement is True.

A variable is a trait that can be measured and has several values. Variables include height, age, income, province or country of birth, school grades, and kind of dwelling. Variables can be divided into two types: category and numeric.

A "sampling frame" is a list of all population items to be researched. Probability and nonprobability are the two primary types of sampling methodologies. A simple random sample is a sample drawn from the population in which every member has an equal probability of being chosen.

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We are given the following differential equation:

Since this equation gives the value of the slope of the tangent line at any point (x,y). To determine the equation of such line we need to use the general form of a line equation:

Since in a tangent line the slope is equivalent to the derivative we may replace that into eh line equation like this:

Now we determine the value of dy/dx at the point (1,3):

Replacing into the equation of the line:

Now we replace the point (1,3) to get the value of "b":

Solving for "b":

Replacing into the line equation:

And thus we get the equation of the tangent line.

To approximate the value of f(1.4) we replace the value x = 1.4 in the equation of the tangent line:

Solving the operation:

Therefore, the approximate value of f(1.4) is 3.2

Answer:

242.5 & 145.5

Step-by-step explanation:

let Brandon pay 5x and Stephen pay 3x

thus, 5x+3x= 388

⇒ 8x=388

⇒ x= 48.5

Amount paid by Brandon= 5(48.5)=242.5

Amount paid by Stephen= 3(48.5)=145.5

Angle L's in the triangle LMN is,

⇒ L = 72.54°

We have to given that;

A triangle LMN is shown in figure.

And, The sides are,

Since, We know that;

A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Since, We know that;

⇒ sin L = Opposite / Hypotenuse

And, cos L = Base / Hypotenuse

Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, We can use trigonometry formula to find the value of angle l we get;

⇒ sin L = Opposite / Hypotenuse

⇒ sin L = LM / LN

⇒ sin L = 18/60

Taking arc sin both side, we get;

⇒ L = 72.54°

Therefore, The value of measure of angle L is triangle LMN is,

⇒ L = 72.54°

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9514 1404 393

Answer:

  Marsha and Anthony

Step-by-step explanation:

Here a negative bank balance represents a debt. The larger the magnitude of the negative number, the more debt it represents. A positive bank balance corresponds to no debt.

Anthony and Marsha -- no debt . . . . smallest debt

Sara -- $90 in debt . . . . smallest non-zero debt

Sean -- $208 in debt

On those with non-zero debt, Sara has the smallest debt. Overall, Anthony and Marsha have the smallest debt: zero debt.

Answer:

2 yards cubed

Step-by-step explanation:

to do this, you are doing 2x1x1. First you do 2x1=2 (length times height). After that, do 2x1=2 (times width). Deenas family’s freezer’s volume is 2 yards.

Answer:

900,900 outcomes are possible.

Step-by-step explanation:

Arrangements with repetition:

The number of possible arrangements of n elements, considered that they are divided in classes of \(n_1,n_2,...,n_n\) elements, is given by:

\(A = \frac{n!}{n_1!n_2!...n_n!}\)

A dancing competition has 13 competitors

This means that \(n = 13\)

Four are American, two are Mexicans, four are Russians and three are Italians.

This means that \(n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3\)

How many outcomes are possible?

\(A = \frac{13!}{4!2!4!3!} = 900900\)

900,900 outcomes are possible.

The rate of interest is given by the equation R = 3.5 %

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the rate of interest be represented as R

Now , the simple interest I = $ 175

The principal amount invested P = $ 2,500

The time period T = 2 years

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )

Substituting the values in the equation , we get

Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )

Rate of Interest R = 17500 / 5000

Rate of Interest R = 3.5 %

Hence , the interest rate is 3.5 %

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Using function concepts, it is found that the correct statement is given by:

all of the x-intercepts of f(x) are common to those of g(x).

They are the values of x when x = 0, hence:

Hence, the first statement is correct, and the x-intercept x = -1 of f(x) is common to the x-intercept x = -1 of g(x).

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The area of parallelogram with a base of 2.5 cm and a height of 6cm is 15 cm³.

What is a quadrilateral?

quadrilateral is a plane mathematical closed figure consist of four side and four edges. There are 7 types of quadrilateral.

Trapezium, Parallelogram, Rectangle, Rhombus, Square, Kite.

and, a parallelogram is a quadrilateral formed by two pairs of parallel lines. Unlike a rectangle, where all angles are 90 degrees, opposite sides in a parallelogram are equally long, and opposite angles are equally sized.

Here, it is given that :

base "b" of parallelogram is = 2.5 cm

height "h" of parallelogram is = 6 cm

Now, the area of parallelogram is :

A = bh

A = 2.5 x 6

A = 15 cm³

Therefore, the area of parallelogram is 15 cm³.

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Answer:

Step-by-step explanation:

Plug in 6 for x for g(x) and f(x)

f(6) = 2(6)⁵ = 15,552

g(6) = 10 x 4⁶ = 40,960

15,552 < 40,960

f(6) < g(6)

Answer:

The statistical test to be used is the paired t-test.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference between these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

Similarly, in this case a paired t-test would be used to deter whether there was any changes in the cholesterol level within each group as result of the treatment.

Thus, the statistical test to be used is the paired t-test.