what is 63,020,000 in scientific notation

Answer:

2x  4  +3x 3  +x  2  −5x−18

Step-by-step explanation:

Answer:   the answer is x=9

Step-by-step explanation:

The number of people and the amount won are illustrations of proportional linear equations.

The relationship is \(f(n) = 300n\)

From the complete question (see attachment), we have the following observation:

1 person wins $300

This means that:

Using the above pattern; assume n people wins $300 each.

The relationship between the amount and the people is:

\(f(n) = 300n\)

Hence, the required equation is:

\(f(n) = 300n\)

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Answer:8.5

Step-by-step explanation:I just know it’s

Answer:

Step-by-step explanation:

Simplifying

7x + -2y = 1

Solving

7x + -2y = 1

Solving for variable 'x'.

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

Add '2y' to each side of the equation.

7x + -2y + 2y = 1 + 2y

Combine like terms: -2y + 2y = 0

7x + 0 = 1 + 2y

7x = 1 + 2y

Divide each side by '7'.

x = 0.1428571429 + 0.2857142857y

Simplifying

x = 0.1428571429 + 0.2857142857y

///////////////////////

Simplifying

2y = x + -1

Reorder the terms:

2y = -1 + x

Solving

2y = -1 + x

Solving for variable 'y'.

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

Divide each side by '2'.

y = -0.5 + 0.5x

Simplifying

y = -0.5 + 0.5x

Answer:

1) y = − 1 2 + 7 x 2

2)  x = 2 y + 1

Step-by-step explanation:

Subtract 7 x from both sides of the equation. − 2 y = 1 − 7 x Divide each term by − 2 and simplify.

y = − 1 2 + 7 x 2

Solve for x by simplifying both sides of the equation, then isolating the variable. x = 2 y + 1

Labby would expect to observe approximately 52,612 of each side (1 through 6) over 26,306 rolls of 12 dice.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

If each side of a die is equally likely to come up, then the probability of rolling any one of the six sides is 1/6.

Labby rolled 12 dice 26,306 times, so the total number of rolls is:

N = 12 * 26,306 = 315,672

To calculate the expected number of each side (1 through 6), we can use the formula for the expected value of a discrete random variable:

E(X) = Σ[x * P(X = x)]

where X is the random variable (in this case, the number of times a particular side comes up), x is the value of the random variable, and P(X = x) is the probability of X taking on the value x.

For each die roll, the probability of rolling a particular side is 1/6. So for 315,672 die rolls, we would expect:

E(1) = 315,672 * 1/6 = 52,612

E(2) = 315,672 * 1/6 = 52,612

E(3) = 315,672 * 1/6 = 52,612

E(4) = 315,672 * 1/6 = 52,612

E(5) = 315,672 * 1/6 = 52,612

E(6) = 315,672 * 1/6 = 52,612

Therefore, Labby would expect to observe approximately 52,612 of each side (1 through 6) over 26,306 rolls of 12 dice.

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1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it is a prime number. While there are several prime numbers between 1 and 75, it is not guaranteed that the number she calls will be prime. However, given the range of numbers, the probability of calling a prime number is relatively high.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it is a perfect square. Perfect squares are numbers that can be expressed as the square of an integer. In the range of 1 to 75, there are only a few perfect squares, so the chances of calling one as the bingo number are relatively low, but not impossible.

3. An event that is certain to happen for the number Kenisha calls is that it will be an integer. Since the game is played with whole numbers from 1 to 75, the number called will always be an integer, as it represents a specific whole number in the given range.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The solution is given below.

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.

3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.

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Provided that 70% of US households have cable television and a random sample of 18 households is selected, the probability that exactly 12 households have cable television is 18.73% determined by using binomial distribution.

The binomial distribution, as provided in the question, refers to the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

The binomial distribution formula for any random variable is:

P(x:n,p) = nCx px (1-p)n-x

P(x:n,p) = n!/[x!(n-x)!].p^x.(1-p)^n-x

Where n is the number of experiments, x is a random variable, and p is the probability of success in a single experiment.

n = 18

x =12

p = 0.7

P = 18!/[12!(18-12)!].0.7^12.(1-0.7)^18-12

P = 18!/[12!(6)!].0.7^12.(0.3)^6

P = 18!/[12!(6)!].0.7^12.(0.3)^6

P = 0.1873

Hence, the probability of exactly 12 households having cable is 18.73%

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Using Excel, the probability that at least 35 of the 154 randomly selected vehicles exceed 110 kilometers per hour when 17.7% of vehicles exceed this speed on the expressway is approximately 0.0027, rounded to four decimal places.

To solve this problem in Excel, we can use the binomial distribution function. In this case, the probability of success (a vehicle exceeding 110 kilometers per hour) is p = 0.177, and the number of trials (vehicles selected) is n = 154.

We want to find the probability of at least 35 successes (vehicles exceeding 110 kilometers per hour), which can be calculated using the formula:

=1-BINOM.DIST(34,154,0.177,TRUE)

This formula gives a probability of 0.0027, which is the probability that at least 35 of the selected vehicles exceed 110 kilometers per hour. Therefore, the answer is 0.0027, rounded to four decimal places.

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Answer:

credit line but this is more of business not a math subject btw

Answer:

2=x

Step-by-step explanation:

x+5=⅔x

x+5-3=2x/3-3

x+2=2x

x-x+2=2x-x

2=x

\(\longrightarrow{\green{x\:=\:-15}}\) 

Step-by-step explanation:

\(x + 5 = \frac{2x}{ 3} \\ \\⇝3 \: (x + 5) = 2x \\ \\⇝3x + 15 = 2x \\ \\⇝3x - 2x = - 15\\ \\ ⇝x = - 15\)

To verify:

\(x + 5 = \frac{2x}{3} \\ \\⇝ - 15 + 5 = \frac{2 \times ( - 15)}{3} \\ \\⇝ - 10= \frac{ - 30}{3} \\ \\⇝ - 10 = - 10 \\ \\⇝L.H.S.=R. H. S\)

\(\boxed{Hence\:verified.}\)

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}\)

Answer:

D.115

Step-by-step explanation:

Use the exterior angle of a triangle theorem which states that the exterior angle of a triangle is equal to the sum of the opposite interior angles meaning D=C+B

the volume of a region bounded by the curve and the -axis between is 19.47787445 cubic units.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

V = π ∫ (x^2)^2 dx - π ∫ 0 dx = π ∫ (x^4) dx - 0 = π (x^5 / 5)

Evaluating from 2 to 1 yield the following:

π (2^5 / 5 - 1^5 / 5) = π (32/5 - 1/5) = 31π/5 cubic units, approximately equal to 19.47787445 cubic units

Hence, the volume of a region bounded by the curve and the -axis between is 19.47787445 cubic units

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Step-by-step explanation:

1882 - 9937

the easiest way to do it is to turn it around :

9937 - 1882

= 8055

then you add a subtraction sign at the back

= - 8055

(a) If Y ~ Normal(0, σ^2), then Y^2 ~ Chi-Squared(1) distribution. Therefore, q(Y, σ) = Y^2/σ^2 ~ Chi-Squared(1)/1 = Chi-Squared(1) distribution.

(b) Yes, q(Y, σ) is a pivotal quantity because its distribution does not depend on the unknown parameter σ.

(a) If Y ~ N(0, σ^2), then Y^2/σ^2 ~ χ^2(1) distribution. To see this, we can use the definition of the chi-squared distribution as the sum of squared standard normal variables. Let Z ~ N(0,1), then Y/σ = Z/√(σ^2) ~ N(0,1), and (Y/σ)^2 = Z^2/σ^2 ~ χ^2(1).

(b) Yes, q(y,σ) is a pivotal quantity. A pivotal quantity is a function of the data and the unknown parameters whose distribution does not depend on the unknown parameters. In this case, q(y,σ) = Y^2/σ^2 ~ χ^2(1), which does not depend on the unknown parameter σ^2. Therefore, q(y,σ) is a pivotal quantity.

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Step-by-step explanation:

x = number of hours

the 2 students will be at the same page, when their progress functions are equal.

92 + 15x = 93 + 14x

15x = 1 + 14x

x = 1

after one hour working they will be on the same page :

92+15 = 93+14 = 107.

The maximum perimeter of the rectangular fence is 272 feet when 168 feet of brick fencing is added.

To determine the maximum perimeter when adding 168 feet of brick fencing to complete a rectangular fence with a brick wall forming two legs of a right angle, one 44 feet long and the other 60 feet long, follow these steps:

Note that the brick wall forms a right angle, so the two legs are the length (44 feet) and width (60 feet) of the rectangle.

Therefore, the maximum perimeter of the rectangular fence is 272 feet.

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Answer:

One solution.

Step-by-step explanation:

This question has different coefficients so it has one solution.

Answer:

the answer is y=2

Step-by-step explanation:

Doing 1-multiple step equations to figure out the variables you have to remove the number on the left side which in this situation is 5 you subtract 5 on both sides 5 and 7 so the left side becomes 0 and the right side becomes 2 if u have anymore questions feel free to ask :))! And I hope this helps

The probability that between 35% and 40% of an SRS of 400 high school seniors have vaped in the past year is 0.2643 + 0.2823 = 0.5466, or 54.66%.e) If the sample size were 900 rather than 400,

a) The mean of the sampling distribution of p is equal to the true proportion p, which is 0.37.

b) The standard deviation of the sampling distribution of p is given by:σp=√(pq/n)where p = 0.37, q = 1 - p = 0.63 and n = 400.σp = √(0.37 × 0.63/400) = 0.032 or 0.032 rounded to the nearest thousandth.

c) The curve of the sampling distribution of p is a normal distribution that is approximately symmetric with a mean of 0.37 and a standard deviation of 0.032.

d) The probability that between 35% and 40% of an SRS of 400 high school seniors have vaped in the past year can be found using the normal distribution.

We standardize the values as follows:

z1 = (0.35 - 0.37)/0.032 = -0.625z2 = (0.4 - 0.37)/0.032 = 0.781Using a standard normal distribution table or calculator,

we find the probabilities that z lies between -0.625 and 0.781 to be 0.2643 and 0.2823, respectively.

the curve of the sampling distribution of p would be narrower and more peaked since the standard deviation of the sampling distribution is inversely proportional to the square root of the sample size. The mean of the sampling distribution would remain the same at 0.37.

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Answer:

Step-by-step explanation:

If we take the number as 7 so 3 times 7 is

3 x 7 = 21

Subtracted by 6 = 21 - 6= 15

So the number is 7

Answer:

7

Step-by-step explanation

Add the subtracted value to the other given value

15+6=21

Since we know it is 3 times the number, divide by 3 to get the number

21/3=7

Check:

21=3x7

21=21

Answer:

I think the answer is 734.

Step-by-step explanation:

You do $178 x 4 months = 716

716 x 4 years is 734

All polar coordinates of point P where P = ordered pair 7 comma pi divided by 3 is (7, π/3 + 2nπ) or (-7, π/3 + (2n + 1)π)

In polar coordinates, the radius is always positive, so we take the positive value of 7. The angle can be any multiple of 2π added to π/3, giving us π/3 + 2nπ, where n is an integer. Additionally, since we have the option of moving in the negative direction, we can also add (2n + 1)π to the angle, resulting in π/3 + (2n + 1)π. Therefore, the correct answer is (7, π/3 + 2nπ) or (-7, π/3 + (2n + 1)π).

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The given distribution of the most popular car colors for 2010 is presented in a bar graph. This type of plot effectively displays the categorical data and their corresponding percentages. Therefore, the appropriate plot for representing the given data is the bar graph provided initially.

Now let's consider the options:

a) A time series plot: A time series plot is used to visualize data over a specific period of time. Since the given data represents the distribution of car colors for a single year (2010), a time series plot is not appropriate in this case. Therefore, option a) is not suitable.

b) A pie chart: A pie chart is commonly used to represent parts of a whole. In this case, the data is already presented in a bar graph, which effectively displays the proportions of each car color. Although a pie chart can also represent proportions, it may not provide the same level of clarity as the bar graph. Therefore, option b) is not necessary.

c) A histogram: A histogram is used to visualize the distribution of continuous or discrete data across intervals or bins. In this case, the data is categorical, representing specific car colors and their corresponding percentages. Therefore, a histogram is not appropriate.

d) All of the above: Since options a) and c) are not suitable for representing the given data, the correct answer is not d) "All of the above."

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The bar graph below gives the distribution of the most popular colors for cars and light trucks sold globally in 2010. Most popular car colors (2010) CE 20 15 Percent 10 Silver Black While Blue Gray Red Color Brown Other Which of the following kinds of plots would also be appropriate for these data? a) a time series plot b) a pie chart a histogram. a) a time series plot b) a pie chart. c) a histogram. d) All of the above

Answer:

y = 8

Step-by-step explanation:

According to Euclidean relation:

y² = |FG| × |GE|

y² = 16 × 4

y² = 64

y = 8

Probability that the mean diamter of the sample shaftes would differ from the population mean by less than 0.1 inches is 0.4778.

What do you mean by standard deviation?

The standard deviation is a statistical indicator of how widely distributed a set of values are. A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

Here, it is given that

Standard deviation , σ = 1.3

Mean diamter, μ = 202

Number of shafts , n = 70

σ\(_{x}\) = σ/\(\sqrt{n}\) = 1.3/\(\sqrt{70}\) = 0.1554

Difference less than 0.1 = 202 - 0.1 = 201.9 , 202 + 0.1 = 202.1

P(\(\overline{x}\) < 0.1) = P(201.9 < x < 202.1)

P ( 201.9 - 202 /  0.1554 ) < \(( \bar x - \mu\bar x /\sigma\bar x)\) < ( 202.1 - 202 /  0.1554 )

P ( - 0.1 / 0.1554 < z < 0.1 /  0.1554 )

P (-0.64 < z < 0.64 )

P ( z < 0.64) - p ( z < -0.64 )

Using z table

= 0.7389 - 0.2611

= 0.4778

Probability =0.4778

Therefore, Probability that the mean diamter of the sample shaftes would differ from the population mean by less than 0.1 inches is 0.4778.

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Distance between both factories is 1543 m

In Trigonometry, the law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles. It states that, if the length of two sides and the angle between them is known for a triangle, then we can determine the length of the third side. It is given by:

c² = a² + b² – 2ab cosγ

Given,

A man hears the two blasts exactly 6.1 seconds and 2.7 seconds from two factories.

Angle between line of sight γ = 42.4°

Speed of sound = 344m/sec

Distance of factory A from man (a)

6.1 × 344 = 2098.4 m

Distance of factory B from man (b)

2.7 * 344 = 928.8 m

The side opposite the angle between his lines of sight will be the distance between the factories.

Using cosine law

c² = a² + b² – 2ab cos γ, where

c = distance between the factories

c² = 2098.4² + 928.8² – 2(2098.4)(928.8) cos 42.4°

c = √(2098.4² + 928.8² – 2(2098.4)(928.8) cos 42.4°)

c = √(4403282.56 + 862669.44 - 3897987.84(0.74))

c = √(5265952 - 2884511)

c = √2381441

c = 1543.19 m

  ≈ 1543 m

Hence, 1543 m is the distance between both factories.

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