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A range of 2 reveals that the smallest and largest data values are 2 units away from each other.

Range is the difference between the highest and lowest values of a set of observations. Range is a measure of variation.

Range = highest value - lowest value

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).

Step-by-step explanation:

the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the

List A i.e. |-6(5/7)|, |-6(3/7)|, |5(2/7) shoe the absolute value in order from greatest to the lowest.

Without taking direction into account, absolute value defines how far away from zero a certain number is on the number line. A number can never have a negative absolute value.

By deducting 1, you may determine the numbers' decreasing order. To write the numbers 10 to 6 in descending order, for instance, we would start with 10, the greatest number in the preceding series, and continue taking away 1 until we reached the lowest number.

There are 4 lists given from which it is obtained only list A is only in which the numbers are in descending order,

|-6(5/7)| = +6.71

|-6(3/4) = +6.42

|-5(2/7)} = +5.28

The numbers are in decreasing order as,

+6.71 > +6.42 > +5.28

Thus, list A i.e. |-6(5/7)|, |-6(3/7)|, |5(2/7) shoe the absolute value in order from greatest to the lowest.

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Answer:

4.25 days

Step-by-step explanation:

Divide 15300 by 3600 to get the amount of time it takes. It takes 4.25 days for the bulb to consume 15300 watt-hours.

Answer:

11700

Step-by-step explanation:

15300-3600=11700

Answer:

Step-by-step explanation:

3 x 6 = 18 so 18/6 = 3

The model is plotted and the equation is 18/6 = 3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 18 / 6

On simplifying , we get

A = 3

Therefore , the value of A is 3 and the model is plotted

Hence , the equation is A = 3

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Answer:

The slope between the two points would be 5.

Answer: The slope would be 5

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Assuming that the right column is obtained by multiplying the value in the left column by 6, 12 times 6 is 72.

Answer:

72

Step-by-step explanation:

We can see that the numbers in the left column is being multiplied by 6 to obtain the numbers in the right column respectively

Therefore, C = 12 x 6

Answer:

sorry i dont understand it

Step-by-step explanation:

Answer:

1,757,600.

Step-by-step explanation:

I am assuming you are allowing duplicates.

Number of possible letters = 26^3

Possible numbers = 10^2

Number of unique Ids = 10^2 * 26*3

= 1,757,600.

"A school sports team sold candy bars to raise money for new uniforms.", The team sold the same amount of candy bars at

Week 3. 17/51 or 0.33 Option C.

This is further explained below.

Generally,  to give up something of worth in exchange for money or another commodity of value My brother bought the bicycle from him so that he could put it up for sale. The shop is a retailer of footwear. to be marketed or given a price The new product is doing quite well in the marketplace. Each one of them retails for one dollar.

In conclusion, The week with the highest percentage of sales is week three as

17/51>>8/25>>32%

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Using probability the correct option is B)The probability that p is in the interval is equal to the level of confidence for the interval.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject because it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.

The probability that p is in the interval is equal to the level of confidence for the interval.

Reason -

There is a 95% probability that the interval between X [lower bound] and Y [upper bound] contains the true value of the population parameter. The statement above is the most common misconception about confidence interval. After the statistical interval is calculated, the interval can only either contain the population parameter or not.

Hence the correct option is B) The probability that p is in the interval is equal to the level of confidence for the interval.

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Answer:

13

Step-by-step explanation:

\( \sqrt{ {(8 - 3)}^{2} + {( - 4 - 8)}^{2} } \)

\( \sqrt{ {5}^{2} + {( - 12)}^{2} } \)

\( \sqrt{25 + 144} = \sqrt{169} = 13\)

The return on investment for Investment Center A is 26.9% i.e., option C is the correct choice.

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list. Mean is the central point of the set of values. It is the average of values present in the data set. The central value which is called the average in mathematics is called the mean in statistics.

The return on investment (ROI) for Investment Center B

=Investment center income/Investment center average invested assets

=$525,000/$1,950,000

=26.9%

So, the option is C.26.9%.

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Answer:

1,100 for each section

Step-by-step explanation:

3300 divided by 3 equals 1100

Answer: Coin B And Coin C

Step-by-step explanation:

Answer:

$ 7770.81

Step-by-step explanation:

2.5 % each year means the car retains  97.5 % ( or .975 in decimal)  of its value per year

    8599 ( .975) ^4  = $ 7770.81

Answer:

3.5 hours

Step-by-step explanation:

It is given that,

Velocity of first car, v = 20 mph

Velocity of second car, v' = 60 mph

They are moving in opposite direction. Their relative speed is given by :

V = 20 mph + 60 mph = 80 mph

Distance, d = 280 miles

So,

\(t=\dfrac{d}{V}\\\\t=\dfrac{280}{80}\ h\\\\t=3.5\ h\)

Hene, they will be 280 mile apart in 3.5 hours.

Yes ,induction can be used to prove the following is true for every nonnegitive integer n.

If P (n) is true, so is P (n + 1) because this argument holds true for any nonnegative integer n, it establishes the second fact required by the induction proof. As a result of the Induction Principle, the predicate P (m) is true for all nonnegative integers, m.

Mathematical induction is a technique for proving the truth of a statement, theorem, or formula for each and every natural number n. This is generalized as the 'Principle of Mathematical Induction,' which we would use to prove any mathematical statement.

For instance, 13 +23 + 33 +..... +n3 = (n(n+1) / 2)

The statement is assumed to be true for all natural number values in this case.

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Answer:

65/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(5 \times 1 \frac{5}{8} \)

\( = 5 \times \frac{13}{8} \)

\( = \frac{65}{8} \)

\( = 8 \frac{1}{8} (ans)\)

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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Answer:

When t=2.1753 & t=.5746 , h=27

Don't worry, I got you. Also, my calculator does too.

We set h equal to 27, because we want the height to be 27 when we solve for t.

That leaves us with:

27 = 7 + 44t - 16t^2

Simplify like terms,

20 = 44t - 16t^2

Move 20 onto the right side, so we can use quadratic equation

44t - 16t^2 - 20 = 0 --> -16t^2 + 44t - 20

Using quadratic, you get

t=2.1753 & t=.5746

poster confirmed : "It’s t=2.18 and t=0.57"

Answer:

answer is 8 and 28/30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes it is yep correct 1000% 10000000000000%

Answer:

At most one of the adults has high blood pressure.

Step-by-step explanation:

The way the numbers will be placed in the square box will be:

First row = 4 12 14

Second row = 2 10 18

Third row = 6 8 16

It should be noted that the question is simply about adding the numbers and getting 39 in each place.

This will be:

First row = 4 12 14 = 4 + 12 + 14 = 30

Second row = 2 10 18 = 2 + 10 + 18 = 30

Third row = 6 8 16 = 6 + 8 + 16 = 30

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