Robin is multiplying 80 times 42. How many partial products will Robin have to add?

Answer:

-34

Step-by-step explanation:

Combine like terms

Hope this helped! Have a great day!!

The dilation is centered at the origin and has a scale factor of 0.5.

Here are the steps to find the image coordinates using a dilation centered at the origin with a scale factor of 0.5:

Write down the coordinates of the pre-image points.

P(-4, 2), L(2, 4), A(2, -4), Y(-4, -2)

Multiply each coordinate by the scale factor of 0.5.

P' = (0.5 × -4, 0.5 × 2) = (-2, 1)

L' = (0.5 × 2, 0.5 × 4) = (1, 2)

A' = (0.5 × 2, 0.5 × -4) = (1, -2)

Y' = (0.5 × -4, 0.5 × -2) = (-2, -1)

Write down the image coordinates.

P'(-2, 1), L'(1, 2), A'(1, -2), Y'(-2, -1)

Therefore, the dilation centered at the origin with a scale factor of 0.5 maps the points P(-4, 2), L(2, 4), A(2, -4), Y(-4, -2) to their respective images P'(-2, 1), L'(1, 2), A'(1, -2), Y'(-2, -1).

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Image transcribed:

Use coordinate notation to describe the dilation. Express the scale factor as a decimal if necessary.

Answer:

The zeros of ƒ(x) are 4, 1, and -2.

Answer:

$10080

Step-by-step explanation:

We can first find how much Talie earns any month by multiplying her pay per hour and the number of hours she works each month:

15 * 40 = $600/month.

Since she has to pay $75 each month for her phone bill, we subtract this from 600 to see how much she has each month after this payment:

600 - 75 = $525.

Now, we multiply 80% by this number to see how much Talia saves for college each month:

0.80 * 525 = 420

Since we know that she saves for two years and neither her pay per hour, nor her working hours per month, nor the amount she deducts each month, nor the amount she saves for college ever changes, we can simply multiply 420 by 24 to find how much she saves after 2 years (remember that 12 months is 1 year so 24 months is 2 years:

420 * 24 = $10080

A simpler equation plugging everything in and letting x represent the exact month and S represent the total amount saved for college is:

\(S =0.80(15*40)-75)x\\S=0.80(600-75)x\\S=0.80(525)x\\S=420x\)

Then, if you were to plug in 24 for x, you'd still get $10080.

The answer is e. none of the above/can’t be determined with info given.

Based on the information given, we have:

P(A) = 0.46

P(B) = 0.17

P(A U B) = 0.63

Note that P(A U B) represents the probability of either event A or event B occurring, or both.

If events A and B are mutually exclusive, it means they cannot occur at the same time. In other words, if event A occurs, event B cannot occur, and vice versa. In this case, the probability of both events occurring would be zero.

On the other hand, if events A and B are collectively exhaustive, it means that together they account for all possible outcomes. In other words, either event A or event B (or both) must occur, and there are no other possibilities.

Using these definitions, we can see that events A and B are neither mutually exclusive nor collectively exhaustive. This is because the probability of both events occurring (i.e., the intersection of A and B) is not zero, which means they are not mutually exclusive. Additionally, the probability of either A or B occurring (i.e., the union of A and B) is not equal to one, which means they are not collectively exhaustive.

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Answer:

the answer is c.21 hope this helps

Answer:

c its 21 lol <33333333hsj fcb sndbd

21 feet.

see explanation in image

Answer:

lucas = 9

rafael = 6

Step-by-step explanation:

two equations can be derived from the question

r + l = 15 equation 1

r = l - 3  equation 2

r = rafael

l = lucas

substitute for r in equation 1

l - 3 + l = 15

combine similar terms

l + l = 15 + 3

2l = 18

l = 9

substitute for l in equation 1

r + 9 = 15

r = 15 -  9

r = 6

Hello!

\(3x^{2} - 6x + 1 = 0\\\\x= \dfrac{-b \±\sqrt{b^{2}-4ac } }{2a} \\\\\\x = \dfrac{-(-6) \±\sqrt{(-6)^{2}-4*3*1 } }{2*3} \\\\\\x =\dfrac{6 \±\sqrt{24 } }{6}\\\\\boxed{x =\dfrac{3 \±\sqrt{6 } }{3}}\)

The length AB represents the length of the minor arc in the circle. The formula required to find the length is given as:

We substitute the values of the angle = 140 degrees and the radius= 8m, to find the length of the arc AB

In conclusion, the length AB = 19.55m

Answer:

2

Step-by-step explanation:

Given

f(x) = | x - 4 | - 9, then

f(- 7) = | - 7 - 4 | - 9

        = | - 11 | - 9 ( absolute value returns a positive value )

        = 11 - 9

        = 2

The formula for the probability is as follows:

P(A ∪ B ∪ C ∪ D ∪ E) = P(A) + P(B) + P(C) + P(D) + P(E) - P(A ∩ B) - P(A ∩ C) - P(A ∩ D) - P(A ∩ E) - P(B ∩ C) - P(B ∩ D) - P(B ∩ E) - P(C ∩ D) - P(C ∩ E) - P(D ∩ E) + P(A ∩ B ∩ C) + P(A ∩ B ∩ D) + P(A ∩ B ∩ E) + P(A ∩ C ∩ D) + P(A ∩ C ∩ E) + P(A ∩ D ∩ E) + P(B ∩ C ∩ D) + P(B ∩ C ∩ E) + P(B ∩ D ∩ E) + P(C ∩ D ∩ E) - P(A ∩ B ∩ C ∩ D) - P(A ∩ B ∩ C ∩ E) - P(A ∩ B ∩ D ∩ E) - P(A ∩ C ∩ D ∩ E) - P(B ∩ C ∩ D ∩ E) + P(A ∩ B ∩ C ∩ D ∩ E).

To calculate the probability of the union of five events in a sample space, we use the principle of inclusion-exclusion. The formula takes into account all possible combinations of the events and adjusts for overlaps.

The formula starts with adding the individual probabilities of each event: P(A) + P(B) + P(C) + P(D) + P(E). This accounts for the events occurring individually.

Then, we subtract the probabilities of the intersections of two events: P(A ∩ B), P(A ∩ C), P(A ∩ D), P(A ∩ E), P(B ∩ C), P(B ∩ D), P(B ∩ E), P(C ∩ D), P(C ∩ E), P(D ∩ E). This ensures that the overlapping probabilities are not double-counted.

Next, we add back the probabilities of the intersections of three events: P(A ∩ B ∩ C), P(A ∩ B ∩ D), P(A ∩ B ∩ E), P(A ∩ C ∩ D), P(A ∩ C ∩ E), P(A ∩ D ∩ E), P(B ∩ C ∩ D), P(B ∩ C ∩ E), P(B ∩ D ∩ E), P(C ∩ D ∩ E). This compensates for the previously subtracted probabilities.

We continue this pattern of subtraction and addition for the intersections of four events and five events.

Finally, we subtract the probability of the intersection of all five events: P(A ∩ B ∩ C ∩ D ∩ E). This ensures that it is not counted multiple times during the inclusion-exclusion process.

By following this formula, we can calculate the probability of the union of five events in a sample space, satisfying the condition that no four of them can occur simultaneously.

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Answer:

y = 5√2 cm

Step-by-step explanation:

a² + b² = c²

5² + 5² = c²

c² = 50

c = √50

c = √(25 × 2)

c = 5√2

Answer:

the domain is continuous

Step-by-step explanation:

hope this helps :)

Answer:

CA=20  CD=20

AB=23  DE=23

BC=29  EC=29

Step-by-step explanation:

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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The correct answer is d. The limit of φ(x) as x tends to -[infinity] is 0.

A quadratic equation, or sometimes just quadratics, is a polynomial equation with a maximum degree of two. It is written as ax² + bx + c = 0, with x being the unknown variable and a, b, and c being the constant terms.

The limit of φ(x) as x tends to negative infinity depends on the behavior of the solution φ(x) to the given initial value problem.

To determine the behavior of the solution, we can consider the characteristic equation associated with the differential equation:

r² + 22r + 146 = 0

Solving this quadratic equation, we find that the roots are complex conjugates:

r = -11 + 5i and r = -11 - 5i

Since the roots are complex, the solution will involve complex exponential functions. The real part of the complex exponential will decay as x tends to negative infinity. Therefore, the limit of φ(x) as x tends to negative infinity is 0.

So, the correct answer is d. The limit of φ(x) as x tends to -[infinity] is 0.

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83 is a positive integer that represents the situation.

An integer is a whole number, meaning it does not include any fractional or decimal component. It can be positive, negative, or zero. Integers are numbers that can be written without a fractional or decimal component.

The number of stairs walked up is a positive value, because it is a quantity that increases, and in mathematics, positive numbers represent an increase in value. In this case, walking up 83 stairs is an increase in elevation, and so it is represented by a positive number.

Therefore, the situation can be written as a positive integer which is 83.

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In exercise 6.2.5, if you construct histograms with 8 and 16 bins, both histograms will display similar information. The histograms will provide a visual representation of the data distribution, but the level of detail will differ between the two.

Histograms are graphical representations that divide data into bins and display the frequency or count of data points within each bin. The number of bins determines the level of detail in the histogram.

If you construct a histogram with 8 bins, the data will be divided into 8 intervals or ranges. Each bin will represent a specific range of values, and the height of the bar above each bin will correspond to the number of data points falling within that range. This histogram will provide a general overview of the data distribution, but it may not capture finer details or variations in the data.

On the other hand, if you construct a histogram with 16 bins, the data will be divided into smaller intervals or ranges. Each bin will represent a narrower range of values, allowing for a more detailed analysis of the data distribution. This histogram will capture finer variations and provide more information about the data distribution compared to the histogram with 8 bins.

In summary, while both histograms will display similar information about the data distribution, the histogram with 16 bins will provide a more detailed representation, capturing finer variations in the data. The choice of the number of bins depends on the level of detail you want to visualize and the characteristics of the data set you are analyzing.

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The slope of the line that passes through the coordinates is -6/5.

The slope of the line is given by;

m = (y₂ - y₁)/(x₂ - x₁)

Where, the coordinates are given.

(x₁ ,y₁) = (2, 8)

(x₂, y₂) = (-3, 14)

Put the value in the slope;

m = (14 - 8)/(-3 - 2)

m = 6/-5

m = -6/5

Therefore, the slope of line passing from the points is -6/5

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Answer: B

in three ways we have;

Explanation:

We want to write the ratio of the situation in three ways, comparing the first quantity to the second quantity.

Given that;

A zoo has 17 monkeys and 12 chimpanzees

so, we want to compare the number of Monkeys to the number of Chimpanzees.

There are 17 Monkeys to 12 Chimpanzees.

Writing in other ways, we have;

and lastly in fraction;

Therefore, in three ways we have;

3.100089999. This is is the answer

Answer:

3,100,089,999,998

Step-by-step explanation:

Hope this helped

Answer:

51.0791%

Step-by-step explanation:

Calculate percentage change

from V1 = 41700 to V2 = 63000

(V2−V1)|V1|×100

=(63000−41700)|41700|×100

=2130041700×100

=0.510791×100

=51.0791%change

=51.0791%increase

Answer:

Volume = Length × Width × Height

Volume = 10 × 3 × 2

Volume = 60 cm

Answer:

Step-by-step explanation:

Let

Original price = p

Less Discount = 20%

Total discount paid for the item = 20% of p

= 20/100 * p

= 0.2 * p

= 0.2p

Actual price after discount = 100% - 20%

= 80%

Total price paid for the item = 80% of p

= 80/100 * p

= 0.8 * p

= 0.8p

Answer:

13.5 cm^2

9*3 = 27

27/2=13.5

Answer:

Leroy has $1.20 , Aaron has $6.00

Step-by-step explanation:

let Leroy have x , then Aaron has 5x , so

x + 5x = 7.20

6x = 7.20 ( divide both sides by 6 )

x = 1.20

Then

Leroy has $1.20 and Aaron has 5 × $1.20 = $6.00

Answer:

900

Step-by-step explanation:

3000÷10

or,300=7/10

900

If you have 240 cards and collect 20 cards per week, you have 96 cards after 8 weeks and your freind have 240 cards in 7.5 weeks.

First, we need to find the total number of cards collected per week by both you and your friend

Total cards collected per week = your cards + friend's cards

Total cards collected per week = 20 + 12

Total cards collected per week = 32

Now, we can find the number of weeks it would take for your friend to collect 240 cards

240 cards ÷ 32 cards per week = 7.5 weeks

Since we cannot have a fractional number of cards, we need to round up to the nearest whole number of weeks. Therefore, it would take your friend 8 weeks to collect 240 cards.

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