Simplify the expression to a + bi form:
(4 – 3i) - (9 - 71)

Answer:

1 7/8 can be written as 8*1+7/8=15/8=1.875

Step-by-step explanation:

The answer is 3.65 x 10^8. To add and subtract values expressed in scientific notation, we need to ensure that the exponents of the powers of 10 are the same.

Let's solve the given expression step by step:
\(\((6.15 \times 10^8) - (2.5 \times 10^7) = (0.615 \times 10^9) - (0.25 \times 10^9)\)\)First, we can convert the given numbers to scientific notation by moving the decimal point to the left of the first non-zero digit:
\(\[ 0.615 \times 10^9 = 6.15 \times 10^8 \]\\ 0.25 \times 10^9 = 2.5 \times 10^8 \]\)

Now we have the same exponent (8) for both values. To subtract, we can directly subtract the coefficients:

\(\((6.15 \times 10^8) - (2.5 \times 10^7) = (6.15 - 2.5) \times 10^8 = 3.65 \times 10^8\)\)

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To identify the surface with the given vector equation, we need to examine the coefficients of the variables in each component of the equation. In this case, we have:

r(u,v) = (u+v)i + (3-v)j + (1+4u+5v)k

This represents a vector-valued function in three-dimensional space. To see what surface it describes, we can look at the coefficients of u, v, and constants in the equation.

The coefficient of u is 4 in the k-component, so the surface will have a slope in the u-direction. The coefficient of v is 5 in the k-component, so the surface will also have a slope in the v-direction. The constant term is 1 in the k-component, so the surface will be offset by 1 unit in the positive k-direction.

Based on this information, we can conclude that the surface described by the given vector equation is a plane with a slope in the u and v directions, and is offset from the origin by 1 unit in the positive k-direction.

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a)  the probability of exactly two breakdowns in the next month is approximately 0.224 or 22.4%

b)  the probability of at most one breakdown in the next month is approximately 0.199 or 19.9%.

To find the probability of the number of breakdowns in a month for the washing machine using the Poisson probability distribution, we need to know the average rate of breakdowns per month, which is given as three breakdowns.

The Poisson probability distribution formula is given by:

P(x; λ) = (\(e^{(-\lambda )\)* λ^x) / x!

Where:

P(x; λ) is the probability of x events occurring in a given interval,

λ is the average rate of events occurring in that interval,

e is the base of the natural logarithm, and

x! represents the factorial of x.

a) To find the probability of exactly two breakdowns, we substitute x = 2 and λ = 3 into the formula:

P(2; 3) = (\(e^{(-3)} * 3^2\)) / 2!

Calculating this, we get:

P(2; 3) ≈ 0.224

Therefore, the probability of exactly two breakdowns in the next month is approximately 0.224 or 22.4%.

b) To find the probability of at most one breakdown, we sum the probabilities of zero breakdowns and one breakdown:

P(0; 3) + P(1; 3)

Substituting x = 0 and λ = 3 into the formula for the first term:

P(0; 3) = (\(e^{(-3)} * 3^0)\) / 0! = \(e^{(-3)\)

Substituting x = 1 and λ = 3 into the formula for the second term:

P(1; 3) = (\(e^{(-3)} * 3^1\)) / 1! =\(3e^{(-3)\)

Calculating this sum, we get:

P(0; 3) + P(1; 3) = \(e^{(-3)} + 3e^{(-3)}\)

Approximating this value, we find:

P(0; 3) + P(1; 3) ≈ 0.199

Therefore, the probability of at most one breakdown in the next month is approximately 0.199 or 19.9%.

Using the Poisson probability distribution, we can determine the likelihood of different numbers of breakdowns occurring in a month for the washing machine in the laundromat.

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When we use the word automobile to refer to a category of transport vehicles, we are using this word as a concept. The correct answers is concept

A concept is an abstract idea that takes form in your mind. This is known as the structures of thoughts and beliefs. They are important because it gives a clear explanation of a particular subject.

An automobile, byname auto, also called motorcar or car, a usually four-wheeled vehicle designed primarily for passenger transportation and commonly propelled by an internal-combustion engine using a volatile fuel, this term is generally used for an vehicle when refering to its category.

When we think of the word automobile, the first thing that comes to your mind is a category of transport. The mind connects the thoughts around the structures build. That’s a concept

Thus, when we use the word automobile to refer to a category of transport vehicles, we are using this word as a concept.

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Answer:

x = -8

Step-by-step explanation:

3x - 9= -33

     +9=-33+9

3x    = -24

3           3

x = -8

Answer:

2 no.reflection

6 no diliation

8 no reflection

7 no rotation

5 no rotation

3 no rotation

4 no translation

9 no translation

Step-by-step explanation:

The correct answer is option a)chi-squared distribution

The chi-squared distribution is a continuous probability distribution that is often used in statistical hypothesis testing, especially in the field of the goodness of fit.

It is a distribution of the sum of squares of k independent standard normal random variables. The degree of freedom, k, determines the shape of the distribution.

The chi-squared distribution is frequently employed in hypothesis testing because of how closely it resembles the normal distribution. A test statistic, such as the t-statistic in a t-test, is used in many hypothesis tests.

The sampling distribution of the test statistic for these hypothesis tests approaches the normal distribution as the sample size, n, rises.

The distribution of real-world observations rarely has a chi-square shape. Chi-square distributions are primarily used for hypothesis testing rather than for characterizing actual distributions.

Therefore, The correct answer is option a)chi-squared distribution

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Hey, I'd love to help, Where's the Question at tho?

or do you mean h2o? if so here is my definition

What is 2ho? 2HO is 2 moles of Hydrogen oxide, which has 2 moles Hydrogen and 2 moles oxygen. 2HO means 2 hydrogen and 2 oxygen,H2O means only 2 hydrogen and 1 oxygen

-Millie

Answer:  1 and 1/3 or 1 and 2/6

Step-by-step explanation: 1/2 x 3 = 3/6

3/6+5/6= 1 and 2/6 or 1 and 1/3

1. The frequency of the second harmonic is twice that of the fundamental frequency. The frequency of the second harmonic is, therefore, 120 Hz.

2. The 3rd, 9th, and 15th harmonics are triplen harmonics. Triplen harmonics are so-called because they are three times the fundamental frequency (50Hz). They are multiples of the third harmonic (150Hz) and are considered triplen harmonics.
3. A positive-rotating harmonic would be more damaging to an induction motor. Harmonics that rotate in the opposite direction to the fundamental frequency are referred to as negative-rotating harmonics. Positive-rotating harmonics are harmonics that rotate in the same direction as the fundamental frequency. Negative-sequence currents are created by negative-rotating harmonics, which cause a rotating magnetic field that rotates in the opposite direction to the fundamental frequency's magnetic field. This causes stator windings to heat up, which can cause a great deal of damage to an induction motor.
4. An ammeter should be used to determine what harmonics are present in a power system. An ammeter is used to determine the presence and quantity of current harmonics. It can also be used to compare the percentage of current distortion in the system with the maximum allowable percentage of current distortion, which is determined by the nature of the load.
5. The transformer's rating should be derated to avoid overheating. If an ammeter that indicates peak current is used instead of a true-RMS ammeter, the current reading is multiplied by 1.414 (the peak of the sine wave). The true-RMS current, on the other hand, is what creates heat in the transformer. The transformer should be derated to compensate for the current difference between the two meters. The derating factor can be found using the following equation:

true-RMS current/Peak reading x 100%. 94 A/204 A x 100%

= 46%.

The transformer should be derated by 46%.

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Answer:

The answer is D. components: <-16,-12>, distance between planes: about 500 miles

Step-by-step explanation:

Correct on edge2020

Answer:

d on edge 2021

Step-by-step explanation:

The box plot is complete because it displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.​

Due to the fact that it shows a five-number summary of a collection of data, the box plot is finished. Minimum, first quartile, median, third quartile, and maximum are the five numbers that make up the summary.

The boxplot visually displays the minimum, lower quartile, median, upper quartile, and maximum of five sample data. The plot's box is a rectangle with ends at each quartile, enclosing the middle half of the sample. The sample's interquartile range is therefore represented by the box's length. The box's second dimension does not specifically symbolize anything.

The sample median is used to draw a line through the box. From the box's two ends, whiskers grow until they reach the sample's maximum and minimum. The crossbar at each whisker's extreme end is optional, and its length has no significance. The next diagram compares a boxplot of the same data with a dot-plot of a sample of 20 observations (actual sample values used in the display).

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Answer:

43.2 grams

Step-by-step explanation:

We will use density formula to solve our given problem:

he mass of a piece of cork with a volume of 240 cm³ is 43.2grams

The formula for calculating the density of a substance with mass "m" and volume "v" is expressed as:

m is the mass of the substance

v is the volume of the substance

Given the following parameters

Density = 0.18g/cm³

Volume = 240cm³

Substitute the parameters into the formula to get the mass:

Answer:

1514 feet

Step-by-step explanation:

We solve using the trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

θ = Angle of depression = 53°

Opposite = Vertical height = 1209 feet

Hypotenuse = x =??

Hence,

sin 53 = 1209 feet/x

Cross Multiply

sin 53 × x = 1209 feet

x = 1209 feet/ sin 53

x = 1513.8320107 feet

Approximately = 1514 feet

Therefore, the distance Lisa must ski to reach the lodge is 1514 feet

Answer:

≈649 kg/m\(^{3}\)

Step-by-step explanation:

Density is equal to mass/volume

25 / 0.385 ≈ 649 kg/m\(^{3}\)

Answer:

the cube root of 512 is 8

Step-by-step explanation:

8×8×8=512

Answer:

8

Step-by-step explanation:

\(\sqrt[3]{512} =8\)

All measures of the cube are the same so to get the volume u just multiply themselves 3 times x^3

Answer:

1. 6 2. 3

Step-by-step explanation:

If you look at the y axis, the line crosses the 6 and the 3, sorry I can't really explain this much better

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

Standard deviation is defined as the square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The table shows the number of goals made by two hockey players.

Player A:

2, 3, 1, 3, 2, 2, 1, 3, 6

Using  a statistics calculator, we have:

Mean = 2.56

S.D. = 1.51

Player B:

1, 4, 5, 1, 2, 4, 5, 5, 11

S.D. = 3.03

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

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When purchasing one ticket for $3 from a pool of 100 fifty-fifty tickets, the expected value is approximately -$1.50.

The expected value of an event is calculated by multiplying the probability of each outcome by its corresponding value and summing them up. In this case, there are 100 fifty-fifty tickets for sale, each priced at $3. The first prize is $150. To determine the expected value when purchasing one ticket, we need to calculate the probability of winning and losing, as well as their respective values.

Since there are 100 tickets and the outcome is fifty-fifty, the probability of winning is 1/100 or 0.01 (1%). The value of winning is $150, while the value of losing is -$3 (the cost of the ticket). Therefore, we can calculate the expected value as follows:

Expected value = (Probability of winning * Value of winning) + (Probability of losing * Value of losing)

Expected value = (0.01 * $150) + (0.99 * -$3)

Expected value = $1.50 - $2.97

Expected value ≈ -$1.47

Thus, the expected value when purchasing one ticket is approximately -$1.47, indicating that, on average, the buyer can expect to lose $1.47 per ticket purchased.

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If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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Based on the probabilities that a customer will pick chocolate chip, walnut, or both, the probability that the customer will pick neither is 0.3.

This can be found by the formula:

= 1 - (Probability of picking chocolate chip + Probability of picking walnut + Probability of picking both)

Solving gives:

= 1 - (0.2 + 0.1 + 0.4)

= 1 - 0.7

= 0.3

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Answer:

 0.3

Step-by-step explanation:

Answer:

95 yards

Step-by-step explanation:

Steps to solve:

4 + (m - n)^4 when m = 7 and n = 5

~Substitute

4 + (7 - 5)^4

~Simplify

4 + 2^4

~Simplify

4 + 16

~Add

20

Best of Luck!

These values are based on the t-distribution table and represent critical values for the given probabilities and degrees of freedom.

To answer this question, we need to use a t-table. The values we are looking for are the t-values associated with specific probabilities and degrees of freedom.

(a) t0.10, 10 = 1.372 (from the t-table, using 10 degrees of freedom and the probability of 0.10)

(b) t0.05, 10 = 1.812 (from the t-table, using 10 degrees of freedom and the probability of 0.05)

(c) t0.05, 21 = 1.721 (from the t-table, using 21 degrees of freedom and the probability of 0.05)

(d) t0.05, 60 = 1.671 (from the t-table, using 60 degrees of freedom and the probability of 0.05)

(e) t0.005, 60 = 2.660 (from the t-table, using 60 degrees of freedom and the probability of 0.005)

Note that we round all answers to three decimal places, as specified in the question. The values we have found are the t-values for the specified probabilities and degrees of freedom. These values can be used in calculations involving t-distributions.

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The numerical value of each expression,

a. sech(0) = 1

b. coshaA¹ = 0.

(a) The hyperbolic secant function, sech(x), is defined as sech(x) = 1/cosh(x). Therefore, sech(0) = 1/cosh(0) = 1/1 = 1.

(b) The inverse hyperbolic cosine function, coshaA¹(x), is defined as the value y such that cosh(y) = x. Therefore, we want to find y such that cosh(y) = 1. Using the definition of the hyperbolic cosine function, we get:

cosh(y) = (\(e^y\) + \(e^{(-y)}\))/2 = 1

Multiplying both sides by 2 and rearranging, we get:

\(e^y\) + \(e^{(-y)}\) = 2

Multiplying both sides by \(e^y\), we get:

\(e^{(2y)}\) - 2\(e^y\) + 1 = 0

This is a quadratic equation in \(e^y\). Using the quadratic formula, we get:

\(e^y\) = (2 ± √(4 - 4))/2 = 1

Therefore, y = coshaA¹(1) = 0.

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Answer:

Monday:1 1/3 cups Tuesday: ?Thursday:2/3 cups  

Step-by-step explanation:

Answer:

Divide each term in

0.3x<6 by 0.3 and simplify.

Inequality Form:

x<20

Interval Notation:(−∞,20)

Step-by-step explanation: