What is 0.00005 in standard form?

Answer:

D. 35°

Step-by-step explanation:

1. The bottom right angle and 95° add up to 180°. Solve for that angle.

95 + y = 180

y = 85

2. Triangles have a total of 180°. Set up the equation.

60 + 85 + x = 180°

3. Simplify

145 + x = 180

4. Solve for x by subtracting 145 from both sides

x = 35°

Answer:

x = 35

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

60+x = 95

Subtract 60 from each side

60 +x-60 = 95-60

x = 35

Answer:

polar bear bc who doesnt want a polar bear in theyre room B)

Step-by-step explanation:

polr bears r cool

An eigenvalue of a matrix is a scalar value that satisfies the equation ax = λx for some vector x. If a is an n × n matrix, then if ax = λx for some vector x, λ is an eigenvalue of a

An eigenvalue of a matrix is a scalar value that satisfies the equation ax = λx for some vector x. If a matrix a is an n × n matrix, then the equation ax = λx can be used to find the eigenvalues associated with the matrix. By taking the equation ax = λx and rearranging it, we can isolate the eigenvalue λ on the left side of the equation, leaving the vector x on the right side. λ is then the eigenvalue of the matrix a. For example, if we have a 2 x 2 matrix a, and we have an equation of the form ax = λx, where x is a 2-dimensional vector, then by rearranging the equation we can find the eigenvalue λ associated with the matrix a. In summary, if a is an n × n matrix and ax = λx for some vector x, then λ is an eigenvalue of a.

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Answer:

1st ans

(8x+19)=(9x+9)(vertically opposite angle)

19-9=9x-8x

x=10

2nd ans

(3x-31)=(x+59)(exterior alternate angle)

3x-x=59+31

2x=90

x=90/2

x=45

3rd ans

(5x-33)+(6x+4)=180(straight angle )

11x-29=180

11x=180+29

x=209/11

x=19

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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So, approximately 2.28% of the observations are less than 140.

To find the percentage of observations that are less than 140, we need to find the standard score (z-score) that corresponds to 140, and then use a standard normal table to find the proportion of data that is less than that z-score.

The standard score is calculated as follows:

z = (140 - 130) / 5 = 2

Using a standard normal table, we can find the proportion of data that is less than 2 standard deviations from the mean. This proportion is approximately 0.0228 or 2.28%.

Mean is nothing but the average of data.

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Answer:

T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

The given situation is linear equation in T and t. so option D is correct option.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given situation:

The temperature of a cup of coffee decreases by 5 F every 20 minutes.

T = -t / 4 + T0  

where t is the temperature in minutes elapsed.

T is the final temperature.

T0 is the initial temperature.

We need to find the type of model best fits the given situation.

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Therefore, The given situation is linear equation in T and t. so option D is correct option.

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The probability of one or more catastrophes in the next two missions, assuming the proposed changes are made and the mission catastrophe probability is 1 in 120, is approximately 0.0083.

This can be calculated using the Poisson distribution, which models the probability of a certain number of events occurring in a fixed interval of time or space, given the expected rate of occurrence. In this case, the expected rate of mission catastrophes is 1/120 per mission, or approximately 0.00833, and the interval of interest is two missions.

Therefore, the probability of one or more catastrophes in two missions is 1 - P(X=0), where X is the number of catastrophes in two missions, and P(X=0) is the probability of no catastrophes in two missions, which is

P(X = 0) = e^(-0.00833) = 0.9917

P(X >=1) = 1 - 0.9917 = 0.0083

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--The question is incomplete, answering to the question below--

"For about $1 billion in new space shuttle expenditures, NASA has proposed to install new heat pumps, power heads, heat exchangers, and combustion chambers. these will lower the mission catastrophe probability to 1 in 120. assume that these changes are made. calculate the probability of one or more catastrophes in the next two missions."

The range of the relation is {0, 2, 4}

The range of the relation are the y values

From the table, we have:

y values = 0, 2, 4, 2, 0

Remove the repetition

y values = 0, 2, 4

Hence, the range of the relation is {0, 2, 4}

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Answer:

-2/3

Step-by-step explanation:

Hope this helps.

Wavelength is 0.00004 cm is the weather like for a violet light a large or small value and how do you know

The frequency of the violet light is \(7.495\times10^{14} s^{-1}\).

Given that,

Wavelength λ=0.00004cm

First, we convert cm to nm

0.00004cm =400nm

These are connected by the equation in electromagnetic radiation (light):

c = λυ

where c refers to the speed of light value is 2.998 x \(10^{8}\) m/s, λ refers to wavelength (m) and υ refers to frequency (\(s^{-1}\)or Hz).

Now, c = λυ

2.998 x \(10^{8}\) m/s=400\(\times\)\(10^{-9}\)m\(\times\\\)υ

υ=\(\frac{2.998\times10^{8} m/s}{400\times10^{-9}m }\)

υ= \(7.495\times10^{14} s^{-1}\)

Therefore, The frequency of the violet light is \(7.495\times10^{14} s^{-1}\).

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Answer:

Step-by-step explanation:

∠A and ∠B are complementary because they are the two non-right angles of a right triangle. This means that sinA=cosB and sinB=cosA.

Therefore,

Answer:

yes they are equal because if u break them down to the smallest fraction .. explained what number will go in to 8 and 10 (two) so 10÷2 is 5 same with 8 .8÷2 is 4 4/5

Answer:

Step-by-step explanation:

If the height of candle after 10 and 26 hours are 25 cm and 17 cm then the height of candle after 21 hours is 19.5 cm.

Given height of candle after 10 hours is 25 cm , height of candle after 26 hours is 17 cm.

We have to find the height of candle after 21 hours.

We have been given two points of linear function (10,25),(26,17).

We have to first form an equation which shows the height of candle after x hours.

let the hours be x and the height be y.

Equation from two points will be as under:

\((y-y_{1} )=(y_{2} -y_{1} )/(x_{2} -x_{1} )*(x- x_{1} )\)

(y-25)=(17-25)/(26-10)* (x-10)

y-25=-8/16 *(x-10)

16(y-25)=-8(x-10)

16y-400=-8x+80

8x+16y=480

Now we have to put x=21 to find the height of candle after 21 years.

8*21+16y=480

168+16y=480

16y=480-168

16y=312

y=312/16

y=19.5

Hence the height of candle after 21 hours is 19.5 cm.

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Answer: extrapolation, and 25 months

Step-by-step explanation:

I took the Plato test and got it right, but if you want to know. Interpolation means based on the numbers given you could see the answer, extrapolation means you have to go farther than the last plot point given to get your answer. Which you do since it does not go past 12 months.

The second answer you can roughly get by pluging in each of the choices in the equation for x

For example: y=-200.22(25)+5015.20

That should give you an answer pretty close to zero so there is your answer

Answer:

extrapolation, and 25 months

Step-by-step explanation:

Combinations and sequences are widely used in mathematics to explain and assess situations in which the order or selection of components might influence the final result.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant. A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations. A combination is a method of picking elements from a collection when the order of selection is irrelevant. Assume we have three integers P, Q, and R. Combination defines how many possibilities we may choose two numbers from each set.

Here,

A combination is a grouping of things from a bigger set in which the order of the components is irrelevant. A sequence is a collection of elements that are ordered in a precise order. Combinations and sequences are frequently used in mathematics to describe and evaluate situations where the order or selection of components might impact the final outcome, such as in combinatorics, probability, and statistics.

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Complete question:

A combination of values that, when arranged correctly, result in a final value. true/false

The two options to define increase in subscribers per amount of content is:

1)A Number of new subscribers divided by number of writers

2)Number of new subscribers divided by number of posts

Based on the fact that charlotte has launched two new websites and want to understand how to measure the increase in subscribers per amount of content.

The four options given to us are:

(Choice A) Number of new subscribers divided by number of writers (Choice B) Number of new subscribers divided by number of likes (Choice C) Number of new subscribers divided by number of posts (Choice D) Number of new subscribers divided by number of words

The only two choices which quantify content are number of writers and number of post. Hence A and C are the correct options.

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The complete question is given below:

Charlotte owns two entertainment websites. Charlotte wants to know which website gains more new subscribers per amount of content. Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.

(Choice A)  Number of new subscribers divided by number of writers (Choice B)  Number of new subscribers divided by number of likes (Choice C)  Number of new subscribers divided by number of posts (Choice D)  Number of new subscribers divided by number of words

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

\( \sqrt{24} = 4.9\)

\( \sqrt{102} = 10.1\)

positive integers = x

4.9 < x < 10.1

x = 5, 6, 7, 8, 9, 10

sum = 5 + 6 + 7 + 8 + 9 + 10

= 45

Answer:

x=63

x+15=78

Step-by-step explanation:

180-102=78

78-15=63

x=63

x+15=78

The MLE of σ² is a biased estimator of σ²

The maximum likelihood estimator (MLE) of σ² is a biased estimator, we need to demonstrate that its expected value is different from the true population variance, σ².

Let's start with the definition of the MLE of σ². In the context of simple linear regression, the MLE of σ² is given by:

MLE(σ²) = SSE/n

where SSE represents the sum of squared errors and n is the number of observations.

The expected value of the MLE, we need to take the average of all possible values of MLE(σ²) over different samples.

E(MLE(σ²)) = E(SSE/n)

Since the expectation operator is linear, we can rewrite this as:

E(MLE(σ²)) = 1/n × E(SSE)

Now, let's consider the expected value of the sum of squared errors, E(SSE). In simple linear regression, it can be shown that:

E(SSE) = (n - k)σ²

where k is the number of predictors (including the intercept) in the regression model.

Substituting this result back into the expression for E(MLE(σ^2)), we get:

E(MLE(σ²)) = 1/n × E(SSE)

= 1/n × (n - k)σ²

= (n - k)/n × σ²

Since (n - k) is less than n, we can see that E(MLE(σ²)) is biased and different from the true population variance, σ².

Therefore, we have shown that the MLE of σ² is a biased estimator of σ².

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The question is incomplete the complete question is :

Show that σ² = SSE/n, the maximum likelihood estimator of σ² is a biased estimator of σ²?

To calculate a 95% confidence interval for the mean weight per apple based on the given data, we need to determine which test should be used and then calculate the interval.

The appropriate test depends on the sample size and whether the population standard deviation is known.

5. Test selection: Since the population standard deviation is known in this case and the sample size is large (n=49), the appropriate test to use is the one sample z-test for means.

Confidence interval calculation: To calculate the confidence interval, we can use the formula:

Confidence interval = sample mean ± (z-value * (standard deviation / √sample size))

In this case, the sample mean is 122.5 grams, the standard deviation is 12 grams, and the sample size is 49. The z-value for a 95% confidence level is approximately 1.96 (obtained from a standard normal distribution table).

Calculating the confidence interval:

Confidence interval = 122.5 ± (1.96 * (12 / √49))

Confidence interval = 122.5 ± (1.96 * 1.714)

Confidence interval ≈ [119.68, 125.32]

Therefore, the correct answers are B (One sample z-test for means), A ([119.68, 125.32]), and D (We are 95% certain that the population mean falls within the interval) for problems 4, 5, and 6, respectively.

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Answer:

x = 225

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths and c is the hypotenuse.

Substituting in the values:

(x - 3)^2 + 9^2 = x^2

Then, we isolate x:

(x - 3)^2 + 81 = (x - 3)(x - 3) + 81 = x^2 - 6x + 9 + 81 = x^2 - 6x + 90 = x^2

(Subtract x^2 from both sides)

- 6x + 90 = 0

(Add 6x to both sides, I also flipped the equation to put x on the left side)

6x = 90

(Divide both sides by 6)

x = 15

To double-check, substitute x with 15:

(15 - 3)^2 + 9^2 = 15^2

Simplify:

144 + 81 = 225 (true)

Answer:

y=3/4

Step-by-step explanation:

hope it helped you

The Least-squares problem that has minimal norm can be given using factorization.

The least squares method is used to find the best fit for a set of data points by minimizing the sum of the offsets from the plotted curve. Singular value decomposition (SVD) is a factorization of a real or complex matrix.

It is a widely used technique to decompose a matrix into several component matrices, exposing many of the useful and interesting properties of the original matrix. The singular value decomposition, guaranteed to exist, is A=UΣV.

When we have the equation system Ax=b, we calculate the SVD of A as A=UΣVT. The matrices U and VT have a very special property. They are unitary matrices. One of the main benefits of having unitary matrices like U and VT is that if we multiply one of these matrices by its transpose (or the other way around), the result equals the identity matrix.

The singular value decomposition (SVD) of matrix A is very useful in the context of least squares problems. It is also very helpful for analyzing the properties of a matrix.

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If we assume that each plant needs one seed to grow, then the number of seeds needed will be equal to the number of plants. The farmer will need 36,000 corn seeds to plant one acre of land.

To find the number of seeds the farmer needs, we first need to determine the area of one acre. One acre is equal to 43,560 square feet. The field shown in the question may have a different area, but we'll assume it's one acre for the purposes of this problem.

Now, we know that the farmer wants to plant 36,000 corn plants per acre. If we assume that each plant needs one seed to grow, then the number of seeds needed will be equal to the number of plants.

Therefore, the farmer will need 36,000 corn seeds to plant one acre of land.we know that the farmer wants to plant 36,000 corn plants per acre.

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The solution is given below.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

The perimeter of a rectangle is 40 cm. The length is 14 cm.

Let x = width of the rectangle.

Ravi says he can find the width using the equation 2(x + 14) = 40.

Fran says she can find the width using the equation 2x + 28 = 40.

now, we get,

1. Divide both sides by 2

 2(x+14) = 40

 x+14 = 20

2. Isolate the x term by subtracting 14 from both sides

3. x = 6. The width of the triangle is 6 cm.

4. Isolate the x term by subtracting 28 from both sides

 2x + 28 = 40

 2x = 12

5. Divide both sides by 2

6. x = 6

7. The two equations have the same solution, because by the distributive rule, 2(x+14) = 2x+28.

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Answer:

The answer is the width is 80