what is 49,010,000 in scientific notation

Answer:

I think it would be the addition property of equality

Step-by-step explanation:

To determine the width of the frame surrounding a picture measuring 8 inches by 12 inches, we need to solve a mathematical equation. Given that the area of the frame and picture together is 320 square inches, we can find the width of the frame by subtracting the area of the picture from the total area.

Let's assume the width of the frame to be x inches. The dimensions of the entire framed picture, including the frame, will be (8 + 2x) inches by (12 + 2x) inches. The area of the entire framed picture can be calculated by multiplying these dimensions. Therefore, the area of the frame alone is equal to the area of the entire framed picture minus the area of the original picture (8 inches by 12 inches). We have the equation (8 + 2x)(12 + 2x) - (8)(12) = 320. By solving this equation, we can find the value of x, which represents the width of the frame.

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The probability of both events happening is 0.6 × 0.5 = 0.3, or 30%, and the probability that at least one university will make an offer is 1 - 0.2 = 0.8, or 80%.

The probability that both universities will make an offer can be found by multiplying the probabilities of each event happening. The probability of receiving an offer from university A is 0.6, and the probability of receiving an offer from university B is 0.5. Therefore, the probability of both events happening is 0.6 × 0.5 = 0.3, or 30%.

The probability that at least one university will make an offer can be found by subtracting the probability that neither university will make an offer from 1. The probability that neither university will make an offer is the product of the probabilities that each university will not make an offer, which is 0.4 × 0.5 = 0.2, or 20%. Therefore, the probability that at least one university will make an offer is 1 - 0.2 = 0.8, or 80%.

Overall, the probability that the graduate will receive an offer from both universities is 30%, and the probability that she will receive an offer from at least one university is 80%.

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The diagram below depicts a portion of the food web. letter x no doubt addresses Producers. The diagram below depicts a partial food web, and it is option A.

The letter x probably stands for producers. Producers give humans, other animals, and chickens energy.

Essential makers use energy from the sun to deliver their own food as glucose, and afterward essential makers are eaten by essential buyers who are thus eaten by optional customers, etc, with the goal that energy streams from one trophic level, or level of the natural order of things, to the following.

A producer is an autotrophic creature equipped for delivering complex natural mixtures from basic inorganic particles through the course of photosynthesis.

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Question:

a fractional food web is addressed in the graph beneath. letter x in all probability addresses:

a) producers,

b) carnivores,

c) decomposers,

d) parasites are all examples.

Answer:

Your annswer is b

Step-by-step explanation: because it is least than all of the others

The number that has the least value is given as -13.142.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The number given in the options are |-10.869|, -14⁶/₇, 9.21 and |-10.25|.

Write all the numbers in one equivalent form as below,

⇒ |-10.869| = 10.869

⇒ -14⁶/₇ = -14 + 6/7 = -13.142

⇒ 9.21

⇒ |-10.25| = 10.25

It is clear from the equivalent form that the least value is -13.142.

Hence, the the least value number is obtained as -13.142.

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Answer:

E

Step-by-step explanation:

It has only two parallel sides

Answer:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

Step-by-step explanation:

Swap f(x) and x position of the function, thus:

\(\displaystyle{x=7f(x)+3}\)

Then solve for f(x), subtract 3 both sides and then divide both by 7:

\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)

Since the function has been inverted, therefore:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

And we can prove the answer by substituting x = 1 in f(x) which results in:

\(\displaystyle{f(1)=7(1)+3 = 10}\)

The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):

\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)

The input is 1. Hence, the solution is true.

Answer:

f(4) = 12.2

Step-by-step explanation:

we are given that x = 4, plug in 4 into the equation

f(4) = 5(1+0.25)^(4)

f(4) = 5(1.25)^(4)

raise 1.25 to the 4th, which is equal to 2.44

f(4) = 5(2.44)

f(4) = 12.2

Answer:

12.20703125

Step-by-step explanation:

A) In both cities = 0.3

B) In neither cities = 0.2

Given,

P(Industry in Shanghai) = P(A) = 0.7

P(Industry in Beijing) = P(B) = 0.4

P(Industry in Shanghai or Beijing)  = P(A∪B) = 0.8

a) We need to find the probability that the industry is located in both Shanghai and Beijing.

That is we need to find P(A∩B)

P(A∪B) = P(A) + P(B) - P(A∩B)

Substituting the values we get,

0.8 = 0.7 + 0.4 - P(A∩B)

P(A∩B) = 0.3

Thus, the probability that the industry is located in both Shanghai and Beijing is 0.3.

b) Now, we need to find the probability that it is not in either cities

Probability = 1 - Probability(Industry in Shanghai or in Beijing)

                = 1 - P(A∪B)

                = 1 - 0.8

                = 0.2

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The question is incomplete. Completed question is given below.

The probability that an American industry will locate in Shanghai, China, is 0.7, the probability that it will locate in Beijing, China, is 0.4, and the probability that it will locate in either Shanghai or Beijing or both is 0.8. What is the probability that the industry will locate

A. in both cities?

B. in neither city?

Answer:

chance of:

red 7/40 = 17.5%

yellow 3/10 = 30%

orange 1/5 = 20%

white = 13/40 = 32.5%

Step-by-step explanation:

7+12+8+13 = 40 total cards

7 red/ 40 possible

12 yellow/40 possible = 3/10

8 orange/40 possible = 1/5

13 white/40possible

Using it's concept, it is found that the experimental probability of each outcome is given by:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers are taken from previous outcomes.

In this problem, there are 40 cards.

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Answer:

yes I think im not an expert but i think

Step-by-step explanation:

Answer:

Yes, all of them are correct.

The code creates a new data frame that filters for chocolate bars that contain at least 80% cocoa and have a rating of at least 3.75 points.

filter(cocoa.percent >= 80, rating >= 3.75)

1. Start by creating a new data frame called best_trimmed_flavors_df that uses the trimmed_flavors_df data frame

2. Use the %>% operator to pipe the trimmed_flavors_df data frame into the new data frame

3. Use the filter() function to filter the new data frame for chocolate bars with at least 80% cocoa and a rating of at least 3.75 points

The code creates a new data frame that filters for chocolate bars that contain at least 80% cocoa and have a rating of at least 3.75 points.

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Answer:

I'm not sure if you can put decimals, if you can do 6889.97

If not try both 6890 and 6889

Step-by-step explanation:

\(A=50\\B=5,940\\C=-49\\D=-30\\E=0.03\)

\(50(-30--49)+(5940-0.03) = 6889.97\)

Round and the code is 6890

I'm not sure if you can put decimals, if you can do 6889.97

If not try both 6890 and 6889

Answer:

6890

Step-by-step explanation:

.

Answer:   C

Step-by-step explanation:

hope this helped

The accuracy obtained in each case is the same regardless of the degree of the Lagrange polynomial used. This is because the Not-a-knot end conditions ensure smoothness and continuity in the interpolated curve.

However, it's important to note that higher-degree polynomials may also introduce more oscillations and might not always provide better accuracy.

To find the values of y at x=0, x=3, and x=0.9 using cubic splines with not-a-knot end conditions, we need to use MATLAB and calculate the 1st, 2nd, and 3rd degree Lagrange polynomials.

Using MATLAB, we can use the 'spline' function with not-a-knot end conditions to obtain the cubic splines. Then, we can evaluate the splines at the desired x values.

The table below shows the calculated values of y at x=0, x=3, and x=0.9 using 1st, 2nd, and 3rd degree Lagrange polynomials:

| Degree | x=0 | x=3 | x=0.9 |
|--------|-----|-----|-------|
|   1    | 0.5 | 0.0588 | 0.0385 |
|   2    | 0.8 | -0.1385 | -0.2667 |
|   3    | 1   | -0.32 | -0.625 |

Please note that the actual errors for each case can be calculated by subtracting the obtained values from the actual values of y at the respective x values.

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The given sets are

The given question is

This means we need to list the comment elements in both sets

Since the common letters are t and a, then

Answer:

5xy

Step-by-step explanation:

x and y can only go into both into once

Answer:

it equals 2cm increase in length

Step-by-step explanation:

Answer:

36 = 6(6)

\(x^{2} -(6)^2\)

(x+6)(x-6)

(x+6)(x-6)

The picture provides to stacks of coins and the number of coins used in both stacks are the same. One stack is straight while the other has been slightly distorted. Nonetheless, since the stacks of coins are congruent, the volume would be the same.

Answer:

1/45 acres the farmer planted

The equations that can  be said to be the representatives of functions here are:

A function is a relationship between a set of inputs and a set of potential outputs, where each input is associated to exactly one outcome.

A graph is considered to be a function if any vertical line formed may cross it at most one point. The graph is not a function if it has any locations where a vertical line can pass through it twice or more.

A linear equation exists: 2x + 3y = 10. This function exists.

3y = 18  is a horizontal line, it serves a purpose.

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To calculate P(X ≥ 2), we need to standardize the variable X. First, we find the standard deviation of X by taking the square root of the variance: σ = √(25) = 5.

Then, we calculate the z-score for the value 2 using the formula z = (X - μ) / σ, where μ is the mean of X. Plugging in the values, we get z = (2 - 10) / 5 = -1.6. We can then look up the probability corresponding to this z-score in the standard normal distribution table or use a calculator. P(X ≥ 2) is equal to 1 minus the probability of X being less than 2, which can be written as P(X ≥ 2) = 1 - P(X < 2). By looking up the z-score of -1.6 in the table, we find that the probability is approximately 0.0548. Therefore, P(X ≥ 2) ≈ 1 - 0.0548 ≈ 0.9452.

To plot the histogram of Y = FX(X), we need to generate random samples from the distribution of X and compute the corresponding values of the distribution function FX. Since X is a normally distributed random variable, we can use a random number generator to generate samples from the normal distribution with mean 10 and variance 25. We then apply the distribution function FX to each sample to obtain the corresponding values of Y. By plotting the histogram of Y with a sample size of n = 1000, we can observe the shape of its distribution. If the histogram of Y closely resembles a uniform distribution on the interval [0, 1], it suggests that Y follows a uniform distribution. Conversely, if the histogram of Y deviates significantly from a uniform distribution, it indicates that Y does not follow a uniform distribution. Comparing the histogram of Y with the histogram of a uniform distribution on [0, 1], we can draw conclusions about the distribution of Y.

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Answer: Any number less than 9.

Step-by-step explanation: The inequality is x is less than 9, that’s what < means, so you can say x is 8, 7, 6, 6.9, etc, x is anything less than 9.

(a) The degrees of freedom is 14.

(b) The test statistic is -0.3203.

(c) The final conclusion is OA. There is not sufficient evidence to reject the null hypothesis that (μ₁ - μ₂) = 0.

(a) The degrees of freedom for an independent samples t-test is calculated using the formula: df = (n₁ + n₂) - 2. In this case, the degrees of freedom would be df = (3 + 13) - 2 = 14.

(b) The test statistic for an independent samples t-test is calculated using the formula: t = (x₁ - x₂) / sqrt((s₁²/n₁) + (s₂²/n₂)), where x₁ and x₂ are the sample means, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

Plugging in the values from the given data, the test statistic is t = (26.4 - 25.7) / sqrt((4.62²/3) + (8.74²/13)).

(c) To reach a final conclusion, we compare the calculated test statistic to the critical value of the t-distribution with the appropriate degrees of freedom and significance level.

If the calculated test statistic falls within the acceptance region, we fail to reject the null hypothesis. In this case, the calculated test statistic is compared to the critical value with 14 degrees of freedom and a significance level of 0.05. If the calculated test statistic does not exceed the critical value, the final conclusion is that there is not sufficient evidence to reject the null hypothesis that (μ₁ - μ₂) = 0.

Therefore, the correct answer is (a) There is not sufficient evidence to reject the null hypothesis that (μ₁ - μ₂) = 0.

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The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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