What is the exponent when you convert 71,100,000 into scientific notation?

Answer:

yes

Step-by-step explanation:

\(\frac{16}{84}\) ( divide numerator and denominator by 4 )

= \(\frac{4}{21}\)

they represent the same proportion

The daily log return of a security follows the model Tt = 0.02 + 0.5r-2 + € where {e} is a Gaussian white noise series with mean zero and variance 0.02.The mean and variance of the return series r can be calculated as follows:

μr = E(r) = E(Tt - 0.02 - 0.5r-2) = -0.01σ2r = Var(r) = Var(Tt - 0.02 - 0.5r-2) = 0.02 + 0.25Var(r-2)

The lag-1 and lag-2 autocorrelations of rt can be calculated as:

ρ1 = Cov(r100, r99) / Var(r99)ρ2 = Cov(r100, r98) / Var(r98)

The 1- and 2-step-ahead forecasts of the return series at the forecast origin t = 100 can be calculated as:

rt+1 = E(rt+1| rt, rt-1) = E(0.02 + 0.5rt-1 + €t+1| rt, rt-1) = 0.02 + 0.5rt-1rt+2 = E(rt+2| rt, rt-1) = E(0.02 + 0.5rt+1 + €t+2| rt, rt-1) = 0.02 + 0.5E(rt+1| rt, rt-1)

The associated standard deviation of the forecast errors can be calculated as follows:

σ(1) = sqrt(Var(rt+1 - E(rt+1| rt, rt-1)))σ(2) = sqrt(Var(rt+2 - E(rt+2| rt, rt-1)))

The final answers can be given in values by using the given values in the equation of μr = E(r) and σ2r = Var(r).

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Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.

Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.

Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.

Part A:

For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.

Part B:

For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.

Part C:

For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.

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Answer:

0•044 is the correct answer

Answer:

0.044

Step-by-step explanation:

Answer:

Marieka will be 3 years younger that David

Step-by-step explanation:

she'll be 29 years old ...

Answer:

29 is the answer

Step-by-step explanation:

because You can see that she was Just born when David was 3 so thats a 3 Year difference into both ages and its also subtraction or You can add It really doesn't matter at this point but now he's 32 so the 3 Year Difference will come in and 32 subtract 3 is 29 so marieka is 29 Years old.

Good luck!         Void~

The correct 4-bit combination for the decimal number 9 is 1001. To explain it in a long answer, we need to understand binary representation. In binary, each digit can either be 0 or 1, and the value of the digit depends on its position.

The rightmost digit represents the value 2^0 (which is 1), the next digit to the left represents the value 2^1 (which is 2), the next represents 2^2 (which is 4), and so on. To convert decimal number 9 to binary, we can start by finding the highest power of 2 that is less than or equal to 9, which is 2^3 (which is 8). We can subtract 8 from 9, and the remainder is 1. This means the leftmost digit in the binary representation is 1.

We repeat the same process with the remainder, which is 1, and find the highest power of 2 that is less than or equal to 1, which is 2^0 (which is 1). We subtract 1 from 1, and the remainder is 0. This means the rightmost digit in the binary representation is 0. Thus, the binary representation of decimal number 9 is 1001, which is the correct 4-bit combination.

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The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm

Given:

radius of the pool increases at a rate of 24 cm/min

To Find:

How quickly does the pool's area grow when the radius is 5 cm?

Solution:

we are given with the circular pool

hence the area of the circular pool =

A = πr²-----------------------------(1)

The area of the pool os increasing at the rate of 24 cm/min, meaning that the area of the pool is changing with respect to time t

so differentiating eq (1)  with respect to t , we have

dA/dt =π 2r dr/dt

we have to find  dA/dt    with  dr/dt  = 24 cm/min and  r =  5cm

substituting the values

dA/dt = π 2(5)24

dA/dt =  π 26*8

dA/dt =  π 240

dA/dt =240π

dA/dt = 753.98

The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm

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Step-by-step explanation:

[(3x − 6) (4x² − 1)] – [(2x − 4) (4x² + 4x + 1)]

>[3(x-2) (2x+1)(2x-1)]-[2(x-2)(4x²+2x+2x+1)

>[3(x-2)(2x+1)(2x-1)]-[2(x-2){2x(2x+1)+1(2x+1)}]

> 3(x-2)(2x+1)(2x-1)-2(x-2)(2x+1)²

> (x-2)(2x+1) [3(2x-1)-2(2x+1)]

> (2x²-3x-2)(6x-3-4x-2)

> (2x²-3x-2)(2x-5).

hope this helps you.

Answer:

Step-by-step explanation:

BD divides CBA into two angles. The add to 90 degrees. Therefore they are complementary.

The key word is complementary. The angles are <CBA and <DBA are complementary.

Answer:

Right angle or adjacent angle. I'm not sure if there was a vocabulary bank.

Step-by-step explanation:

Answer:

Five and six is the coefficient

The graph of the equation or inequality 2y – 4x < 8 is given the in the attachment.

The term inequality refers to a mathematical expression with unequal sides. An inequality compares two values and determines whether one is less, greater, or equal to the value on the other side of the equation. In general, inequality equations are represented by five inequality symbols.

The inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and not equal (≠).

Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable.

Given that:

2y – 4x < 8

2y < 4x +8

y < 2x + 4

Plot this on graph.

Thus, y < 2x + 4 is inequality to be plotted on the graph.

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Answer:

Use mathematical skills to acquire the correct answer of 7.

Step-by-step explanation:

Hee hee hee haw.

Answer:

7 is the answer

Step-by-step explanation:

3x + 8 = 29

or, 3x + 8 - 8 = 29 - 8

or, 3x = 21

or, 3x/3 = 21/3

or, x = 7

Stratified random sampling was the technique employed by Homer to choose his sample.

Given case;

Homer Simpson is fascinated with the proportion of the different sprinkled colors on lard lad doughnuts. Homer buys three of each type of donut they produce and counts the sprinkles on them to perform his research.

The method did homer use to select his sample is stratified random sampling. Because each variety is a stratum.

From there 3 3 samples are collected.

Stratified random sampling:

A crucial aspect of the sampling strategy known as stratified random sampling is the stratification of a population into smaller subgroups known as strata. During stratified random sampling, the strata are created based on the shared traits or features of the participants, such as level of education or income. Numerous uses and advantages of stratified random sampling include examining life expectancy and population demography.

The terms proportionate random sampling and quota random sampling are also used to describe stratified random sampling.

The method did homer use to select his sample is stratified random sampling.

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Answer:

I think -1/3

Step-by-step explanation:

Its negative bc the line is moving from left to right

Take 2 points from the line.

At the origin, (0,0)

And (6,-2) a point in fourth quadrant

m = y2 - y1

x2 - x1

m = -2 - 0

6 - 0

m = -1/3.

The 3rd option is the correct option.

The probability that a randomly selected person from this sample used the Chrome browser and used a laptop computer is 0.308.

To determine the probability that a person selected would e using the Chrome browser and a laptop, we will proceed as follows:

From the table, Chrome and laptop = 77

Total number of occurrences = 250

Expressing this as a probability, we will have: 77/250

= 0.308

Therefore, the probability would be 0.308

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Answer:

7 is the simplest form. A mixed number needs a fraction

Step-by-step explanation:

Answer:

7/1

7

Step-by-step explanation:

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Using proportion, we can see that 5 pitchers will serve 40 people if 1/8 pitcher served one person.

Given that,

1/8 pitcher served one person.

Let x be the number of people that the 5 pitchers served.

We can find the value using the proportional method.

Using the proportional concept, the ratio of the number of pitchers served to the number of people will be proportional.

So,

(1/8) / 1 = 5 / x

1/8 = 5/x

Cross multiplying,

x = 40

Hence 5 pitchers will serve 40 people.

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To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:

w = c1V1 + c2V2 + c3V3

We can write this as a matrix equation:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

We can solve this system of equations using row reduction:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

R2 = R2 - 6R1

R3 = R3 - 2R1

R4 = R4 + 15R1

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 -23 67 -59 | | -32 |

R4 = R4 + 23R2

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 0 174 -294 | | 225 |

R3 = R3 - (12/27)R2

R4 = (1/174)R4

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 0 -1 22/3 | | c3 | | -13/3 |

| 0 0 1 -98/87 | | 25/58 |

R1 = R1 + 4R3

R2 = R2 - 59R3

R4 = R4 + (98/87)R3

| 1 0 -13 -10/3 | | c1 | | 21/29 |

| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |

| 0 0 1 -98/87 | | c3 | | 25/58 |

| 0 0 0 1390/2391 | | 1009/2391 |

R1 = R1 + (13/1390)R4

R2 = (1/27)R2

R3 = R3 + (98/1390)R4

| 1

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The probability that at least one graduate out of the five who were picked at random obtains a job in their chosen area within a year of graduation is 93.96%.

Let X represent a random variable which represents the proportion all school graduates who secure employment in their profession of choice within a year of graduation:

With a binomial distribution,

X has a n = 5 and a p value of 0.57.

n = number of trial.

p = probability of success

x = number of success.

A binomial distribution's probability mass function is provided by:

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

The likelihood that at least one gets employment in their field of choice within a year after graduation:

P(X ≥ 1) = 1 - P(X < 1)

P(X ≥ 1) = 1 - P(X = 0)

P(X ≥ 1) = 1 - ⁵C₀ . (0.57)⁰ . (0.43)⁹⁻⁰

P(X ≥ 1) = 1 - 0.603

P(X ≥ 1) = 0.9396

P(X ≥ 1) = 93.96%

Thus, the probability that at least one graduate out of the five who were picked at random obtains a job in their chosen area within a year of graduation is 93.96%.

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The complete question is-

A study conducted at a certain college shows that 57% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Answer:

The solution of the given two linear equations

x = 1 and y =1

Step-by-step explanation:

Step(i):-

Given   4 x + 5 y = 9 ..(i)

         - 11 x - 9 y = - 20 ...(ii)

Multiply  11 by (i) and multiply 4 by (ii)

          44 x + 55 y = 99 ...(a)

       - 44 x  - 36 y  = -80...(b)

Adding above equations (a) and (b) , we get

        19 y = 19

             y = 1

Step(ii):-

substitute y =1 in equation (i) , we get

          4 x + 5 y = 9

            4 x + 5 = 9

           4 x = 4

              x =1

Final answer:-

The solution of the given two linear equations are

x = 1 and y =1

Answer:

4^√16x3

Step-by-step explanation:

Answer:

yesss

Step-by-step explanation:

lllllllll

Answer:

180

Step-by-step explanation:

if 90 is 50 percent (1/2), you just need to multiply it by two.

(90×2=180)

A 90% confidence interval is 20% to 24.6%.

To calculate the 90% confidence interval for the percentage of people in the town who read newspapers, we can use the formula:

Confidence Interval = Sample Proportion ± (Critical Value * Standard Error)

First, let's calculate the sample proportion:

Sample Proportion = Number of newspaper readers / Sample size

                 = 223 / 1000

                 = 0.223

Next, we need to find the critical value associated with a 90% confidence level.

For a large sample size like this, we can use the Z-score table or a calculator to find the critical value. For a 90% confidence level, the critical value is approximately 1.645.

Now, we can calculate the standard error:

Standard Error = \(\sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)\)

             = sqrt((0.223 * (1 - 0.223)) / 1000)

             ≈ 0.014

Finally, we can calculate the confidence interval:

Confidence Interval = 0.223 ± (1.645 * 0.014)

                   = 0.223 ± 0.023

                   ≈ (0.200, 0.246)

Therefore, the 90% confidence interval for the percentage of people in the town who read newspapers is approximately 20% to 24.6%.

The closest answer from the options provided would be 20% to 23%.

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Answer:

Step-by-step explanation:

Take -7 and subtract -3 2/3 which will equal -3 1/3

Answer:

A) The percent increase is by 30%.

B) for the original price = 15%.

B2.0) for the existing price (39) = approximately 11.54%.

Step-by-step explanation:

A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.

B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).

Answer:

k<±36

Step-by-step explanation:

Δ<0 (no real roots)

b²-4ac<0

k²-4x12x27<0

k²-1296<0

k²<1296

k<±36

Answer:

x^8y^8

Step-by-step explanation:

(x^4y^3+1)^2

(x^4y^4)^2

Expand the bracket by multiplying the exponents by 2

x^8y^8

Answer:

height ≈ 30 ft

Step-by-step explanation:

The situation is modelled by a right triangle.

let h be the height of the totem pole, then

tan50.1° = \(\frac{opposite}{adjacent}\) = \(\frac{h}{25}\) ( multiply both sides by 25 )

25 × tan50.1° = h , then

h ≈ 30 ft ( to the nearest foot )