Choose the correct term to complete each sentence.

The number a+b i , where b=0 , is an example of a(n) (imaginary/complex) number.

Answer:

The probability that it lands within the red triangle is 8/81.

The expected gain or loss of an experiment over the long run is called the expected value.

The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of those outcomes occurring. It is calculated by multiplying each possible outcome by its probability of occurring and then adding up these products. The expected value can be used to make decisions and assess risk in various fields, including finance, economics, and gambling. If the expected value is positive, it means that, on average, the experiment will result in a gain, while a negative expected value indicates a loss.

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Answer:

To have one significant figure means to have one number with a significant value. Since all of the answers are greater than one, the final answer with the correct sig figs involves using the two leftmost numbers. If the second leftmost number is greater than 5, round the leftmost number up one unit. If the number is less than 5, leave the leftmost number alone. Finally, change all of the values besides the leftmost to zero. There should be no decimal place because having it would mean the zeros to the left of the decimal place are significant.

 29 x 31
--------------  =  3329.6      ------>     3,000
   0.27

 4.8 x 37
---------------  =  845.7       -------->    800
   0.21

 9.7 x 26
---------------   =  11463.6      ------->   10,000
  0.022

Answer: x=1

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

Answer:

-125z³

Step-by-step explanation:

cube each value

(-)³x(5)³x(z)³

negative sign multiplied by three is negative

- x - x - = -

5 x 5 x 5 = 125

z x z x z = z³

answer = -125z³

the probability that an admitted applicant is a statistics graduate is approximately 0.818 (or 81.8%) when rounded to one decimal place.

We can use Bayes' theorem to calculate the probability that an admitted applicant is a statistics graduate. Let A represent the event that an applicant is a statistics graduate, and B represent the event that an applicant is admitted. Then, we want to find P(A|B), the probability that an admitted applicant is a statistics graduate.

Using the given information, we can determine the following probabilities:

P(A) = 600/1000 = 0.6

P(B|A) = 0.3

P(B|A') = 0.05

where P(A') represents the complement of event A (i.e., an applicant is not a statistics graduate).

We can now apply Bayes' theorem:

P(A|B) = P(B|A)P(A) / [P(B|A)P(A) + P(B|A')P(A')]

Substituting the given probabilities, we get:

P(A|B) = (0.3)(0.6) / [(0.3)(0.6) + (0.05)(0.4)]

P(A|B) = 0.818

Therefore, the probability that an admitted applicant is a statistics graduate is approximately 0.818 (or 81.8%) when rounded to one decimal place.

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Answer:

-0.75

Step-by-step explanation:

Answer: the answer would be -0.75, or -3/4

To find the critical values for a hypothesis test with a sample size of n = 15 and a significance level of α = 0.05, we need to consider the distribution being used for the test.

Since the sample size is small (n < 30) and the population standard deviation is unknown, we typically use the t-distribution instead of the standard normal distribution.

With n = 15 and α = 0.05, the critical values correspond to the two-tailed t-test at the 0.025 level of significance. The critical values can be obtained from a t-distribution table or calculated using a calculator.

For a two-tailed test at α = 0.05 with 15 degrees of freedom, the critical t-values are approximately ±2.131.

Therefore, the correct answer for the critical values for a sample with n = 15 and α = 0.05 is ±2.131.

These critical values are used to define the critical regions in a t-distribution, and if the test statistic falls beyond these critical values, we reject the null hypothesis.

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The volume of water in the ocean is estimated to be approximately 1,332,000,000,000,000,000 liters.

The Earth's oceans cover about 71% of the planet's surface and contain a vast amount of water. To calculate the volume of water in the ocean, we need to consider the average depth and the total surface area of the oceans.

The average depth of the ocean is estimated to be around 3,800 meters. The total surface area of the oceans is approximately 361,900,000 square kilometers. By multiplying the average depth by the surface area, we can find the volume of water.

Volume = Average Depth × Surface Area

Using the given values, we have:

Volume = 3,800 meters × 361,900,000 square kilometers

To convert this volume to liters, we need to consider that 1 cubic meter is equal to 1,000 liters. Therefore, we can multiply the volume in cubic meters by 1,000 to obtain the volume in liters.

Calculating the above expression, we find that the volume of water in the ocean is approximately 1,332,000,000,000,000,000 liters. This is an estimation and may vary slightly depending on the sources and assumptions used for average depth and surface area calculations.

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Answer:

\(\frac{10}{21}\)

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

\(\frac{3(3)}{14(3)}\) + \(\frac{2(2)}{21(2)}\) + \(\frac{1(7)}{6(7)}\)

= \(\frac{9}{42}\) + \(\frac{4}{42}\) + \(\frac{7}{42}\) ← add the numerators, leaving the denominator

= \(\frac{9+4+7}{42}\)

= \(\frac{20}{42}\) ← divide both values by 2

= \(\frac{10}{21}\) ← in simplest form

The equation that represents the situation is:

d = 525h

In this equation, d represents the distance traveled and h represents the number of hours spent flying. The equation states that the distance traveled (d) is equal to the product of the speed (525 miles per hour) and the number of hours spent flying (h). This equation shows the relationship between the distance and time for the airplane flying at a constant speed of 525 miles per hour.

       The Equation Representing The Situation is:

       d  =  525 *  h

Make A Plan:

We need to find the Equation representing the relationship between the distance traveled (D) and the number of hours spent flying (H).

The Airplane is flying at a Constant Speed of 525 Miles Per Hour (mph). However, The Distance Traveled is Equal to the speed Multiplied by the Time Spent Flying.  

        d   =   525  *   h

        The Equation Representing The Situation is:

        d  =  525 *  h

I hope this helps you!

If the point in question is on the line of reflection, then the point won't move. Any point on a line of reflection stays where it is.

If that same point is the center of dilation, then it also doesn't move. The center of dilation is the only point that doesn't move in a dilation.

So the two conditions are:

These two facts mean that the line of reflection must go through the center of dilation.

At a 0.05 level of significance, there is insufficient evidence to conclude that the mean amount of garbage per bin is different from 50 pounds.

To conduct the appropriate hypothesis test, we need to use a two-tailed t-test since we are interested in determining if the mean amount of garbage per bin is different from 50, not just greater or less than 50.

Our null hypothesis (H0) is that the mean amount of garbage per bin is equal to 50, and our alternative hypothesis (Ha) is that the mean amount of garbage per bin is different from 50.

Using a 0.05 level of significance, we will reject the null hypothesis if our calculated t-value falls outside of the critical t-value range determined by our degrees of freedom (df) and alpha level.

To calculate the t-value, we use the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in our values, we get:

t = (49.32 - 50) / (3.7 / sqrt(36))
t = -2.08

Using a t-table with df = 35 and alpha = 0.05, we find that the critical t-values are -2.03 and 2.03.

Since our calculated t-value of -2.08 falls outside of this range, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean amount of garbage per bin is different from 50.
To test if the mean amount of garbage per bin is different from 50, we will conduct a two-tailed hypothesis test using the provided information.

Step 1: State the null and alternative hypotheses.
Null hypothesis (H₀): µ = 50 (The population mean is equal to 50 pounds)
Alternative hypothesis (H₁): µ ≠ 50 (The population mean is not equal to 50 pounds)

Step 2: Determine the level of significance (α) and sample size (n).
α = 0.05
n = 36

Step 3: Calculate the test statistic (z-score).
z = (sample mean - population mean) / (sample standard deviation / √n)
z = (49.32 - 50) / (3.7 / √36)
z = -0.68 / 0.6167
z ≈ -1.10

Step 4: Find the critical z-values and make a decision.
For a two-tailed test with α = 0.05, the critical z-values are -1.96 and 1.96. Since the test statistic, -1.10, lies between these critical values, we fail to reject the null hypothesis.

Conclusion: At a 0.05 level of significance, there is insufficient evidence to conclude that the mean amount of garbage per bin is different from 50 pounds.

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Answer:

1) y=5/2x +2

2) y=1/2x+4

Step-by-step explanation: Slope intercepts equation is y=mx+b. After solving your slopes for each problem would be 5/2x and 1/2x, then you would solve to find B, which for this problem is 2, and 4. You would leave the y as just a regular y for this problem.

Answer: $790.74

Step-by-step explanation:

0.054

X 790.74

——————-

42.7

By doing reverse you can see that 42.7 pesos=790.74 USD, so $790.74 is the answer.

Step-by-step explanation:

the answer will be zero 0

Answer:

72 rods

Step-by-step explanation:

First, find the volume of each rod, using the formula V = \(\pi\)r²h

Plug in pi, the radius, and height, and solve:

V = \(\pi\)r²h

V = (3.14)(2²)(60)

V = (3.14)(4)(60)

V = 753.6

So, each rod has 753.6 cm³ of steel.

Divide 54,259.2 by this to find how many rods it will make:

54,259.2 / 753.6

= 72

So, it will make 72 rods.

Answer:

b

Step-by-step explanation:

Answer:

Where is the number line?? ;-;

Step-by-step explanation:

Dude I cant answer if you dont show me the number lines

The function g(X) will be of the form g(x) = |x/6| ,when stretched by a factor of 6.

The function is f(x)=|x| .

We know that for transformation of a function of the form horizontal stretch by a factor of 'a' is given by the g(x)= f(x/a)

So in this given function the horizontal stretch is by a factor of 6.

Therefore g(x) = f(x/6)

or, g(x) = |x/6|

In the graph attached the green represents the function f(x) while the red represents the function g(x).

A function transformation either "moves," "resizes," or "reflects" the graph of anything similar to the parent function. The following are the three main types of function transformations:

Dilation is the only one of these changes that modifies the size of the original shape; the other two just change its location.

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Answer: $14.88x + $8.88y

Step-by-step explanation:

x represents adult ticket

y represents child ticket

Value of adult tickets = 14.88 * x

Value of child tickets = 8.88 * y

So the equation is

14.88x + 8.88y

Answer:

Hi

Step-by-step explanation:

According to my calculations, the answer is C.

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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The pair of triangles in option A, C and D are congruent triangles.

What is triangle?

A triangle is a polygon with three edges and three vertices. It's one of the introductory shapes in figure. A triangle with vertices A, B, and C is denoted triangle Alphabet. In Euclidean figure, any three points, whennon-collinear, determine a unique triangle and contemporaneously, a unique aeroplane.

What is congruent triangle?

SSS: When all three sides are equal to each other on both triangles, the triangle is harmonious. AAS: If two angles and anon-included( you can suppose of it as outside) side of one triangle are harmonious to the corresponding corridor of another triangle, also the triangles are harmonious.

A) In the given figure, two angles and one side of the one triangle is equal to two angles and one side of the other triangle

By AAS consonance, two triangles are harmonious.

B) In the given figure, one angle and one side is equal

So, two triangles aren't harmonious

C) Then, two sides and one included angle of the one triangle is equal to two sides and one included angle of the other triangle

D) Then, two angles and one included side of the one triangle is equal to two angles and one included side of the other triangle.

thus, the brace of triangles in option A, C and D are harmonious triangles.

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(a) The total number of ways to place one snake horizontally or vertically is  448.

(b)The total number of ways to place one snake with the head and tail on squares of different colors is 1024.

(c)The total number of ways to place two snakes is 523264.

To place one snake horizontally or vertically, we need to consider each row and column separately. There are 8 rows and 8 columns, so we need to find the number of ways to place a snake in one row or column and multiply by 16.

In one row or column, there are 7 ways to place a snake of length 2, 6 ways to place a snake of length 3, and so on until 1 way to place a snake of length 8. So the total number of ways to place one snake horizontally or vertically is 16(7 + 6 + 5 + 4 + 3 + 2 + 1) = 16(28) = 448.

(b) To place one snake with the head and tail on squares of different colors, we need to consider the color of the head and tail separately.

There are 32 white squares and 32 black squares on the chessboard. If the head is on a white square, the tail must be on a black square, and vice versa. So the total number of ways to place one snake with the head and tail on squares of different colors is 32 × 32 = 1024.

(c) To place two snakes, we need to use the product rule.

We can first place one snake in 1024 ways, and then place the second snake in 1024 - 2 = 1022 ways, since the second snake cannot occupy the same squares as the first snake.

So the total number of ways to place two snakes is 1024 × 1022 = 1046528.

However, this procedure overcounts the number of ways to place two snakes, since the order of the snakes does not matter. We need to divide by 2 to adjust for overcounting, so the final answer is 1046528/2 = 523264.

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Answer:

Wrong problems = 32

Step-by-step explanation:

Total no of problems = 200

Charlotte earned a grade of 84% on her multiple-choice.

Correct problems,

\(=\dfrac{84}{100}\times 200\\\\=168\)

Wrong problems = 200 - correct problems

= 200 - 168

= 32

Hence, there are 32 problems on the final exam Charlotte get wrong.

The probability of (A and B) is 0.2356, the conditional probability of (A|B) is 0.31, the conditional probability of (B|A) is 0.76, and the probability of (A or B) is 0.8144.

Probability is a measure of the likelihood of a particular event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.

When events A and B are independent, the probability of them occurring together is the product of their individual probabilities.

P(A and B) = P(A) * P(B) = 0.31 * 0.76 = 0.2356

P(A|B) = P(A and B) / P(B) = 0.2356 / 0.76 = 0.31 (It is same as P(A) because events A and B are independent)

P(B|A) = P(A and B) / P(A) = 0.2356 / 0.31 = 0.76 (It is same as P(B) because events A and B are independent)

P(A or B) = P(A) + P(B) - P(A and B) = 0.31 + 0.76 - 0.2356 = 0.8144

Therefore, the probability of (A and B) is 0.2356, the conditional probability of (A|B) is 0.31, the conditional probability of (B|A) is 0.76, and the probability of (A or B) is 0.8144.

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Answer:

1.3,-1, and -4

The correct answer is "move in trends."

Technical analysis is a methodology used to evaluate securities and identify trading opportunities based on statistical trends and patterns in their price and volume movements.

It is based on the idea that the price of a security reflects all available information, and that this price is determined by the interaction between supply and demand in the market.

Technical analysts believe that stock prices move in trends, meaning that they tend to continue in the same direction over a certain period of time. They use various tools and techniques, such as charts and indicators, to identify these trends and make trading decisions based on them.

While technical analysis does not predict the future price movements of securities with certainty, it provides traders with a framework to understand market behavior and make informed decisions.

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Answer:

60

Step-by-step explanation:

7x- y

Let x = 9 and y = 3

7(9) -3

Multiply

63 -3

Subtract

60

Step-by-step explanation:

we substitute

7(9)-3

63-3

60

Answer:

x=1/2, y=2;    

Step-by-step explanation:

First pair:

2x-5y =-9

4x+5y=12

Add them together:

6x=3

x = 1/2

2(1/2) - 5y =-9

1-5y = -9

1+9=5y

y=10/5=2