57.9

×
0.086
ugh 5TH TIME BTW:)

We can construct a chart, a table for the values of the given function as follows:

1. We need to have the function g(x) = -4x^2.

2. We can obtain the values for the function for the values:

x = -4, x = -2, x = 0, x = 2, x = 4.

3. We need to evaluate the function for each of these values.

4. Finally, we can have a table of the values of x and y.

Having this information into account, we can proceed as follows:

1. x = -4

2. x = -2

3. x = 0

4. x = 2

5. x = 4

Then, having these values, we can construct the values for the function using these values:

We can draw part of this function using these values. We have to remember that, in functions, we can say that y = f(x).

We can also say that the domain of the function is, in interval notation:

And the range, as we can see from the values, is as follows (using interval notation):

This is because the values for y (or f(x)) are less or equal to zero.

In summary, we can have a table to construct a graph using the values for the independent variable and plug these values in the function to obtain the values for y.

We need to remember that y = f(x). Additionally, this function has a domain from -infinity to infinity (all the values in the Real set), and a range for values from -infinity to 0 (including zero).

A graph for this function is as follows:

Answer: Yes it's 15

Step-by-step explanation:

20/100 x 75 = 15

The correct option for calculating the degrees of freedom for the between-group estimate in ANOVA is: c. k - 1

Here's a step-by-step explanation:

1. ANOVA, or Analysis of Variance, is a statistical method used to compare the means of multiple groups to determine if there are significant differences between them. In this context, "k" represents the number of groups being compared, and "N" represents the total number of observations.

2. Degrees of freedom (df) are used in statistical tests to account for variability in the data. They are essentially the number of values that can vary independently in the calculation of a statistic.

3. In ANOVA, there are two types of degrees of freedom: between-group (df_between) and within-group (df_within).

4. To calculate the between-group degrees of freedom (df_between), we use the formula: df_between = k - 1. This is because there are k groups being compared, and each group contributes one degree of freedom, minus one since we are comparing the groups against each other.

5. The within-group degrees of freedom (df_within) would be calculated using the formula: df_within = N - k, which accounts for the total number of observations minus the number of groups.

In summary, to compute the degrees of freedom for the between-group estimate in ANOVA, you would use the formula df_between = k - 1.

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Given:

The area of a sector, A=74.84 sq. in.

The radius of the sector, r=8 in.

Now, the expression for the area of a sector can be written as,

Here, θ is the central angle in degrees.

Rearrange the above equation and substitute values to find the angle θ.

Answer:

i say the 3rd row

Step-by-step explanation:

Answer:

8.5 repeating

Step-by-step explanation:

−8(−2x+4)+2x=122

(−8)(−2x)+(−8)(4)+2x=122

16x+−32+2x=122

(16x+2x)+(−32)=122

18x+−32=122

18x−32=122

18x−32+32=122+32

18x=154

154/18=8.5 repeating

Answer:

The answer is -14 .

Step-by-step explanation:

Using BODMAS rule.... at first solve the bracketed problem... then you wm get your answer!

Answer:

f(x) = x - 5

f(-5) = -5 - 5

= -10

f(0) = 0 - 5

= -5

f(5) = 5 - 5

= 5

Hope this helps!

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Answer:

a, c and d

Step-by-step explanation:

The simplified radical expression for this problem is given by:

\(3x^2y^3z\sqrt[3]{3xz^2}\)

To simplify the given radical expression, we divide all the exponents by 3, and the ones that can be simplified are placed outside the root, multiplying.

Looking at each term, we have that:

Thus, the simplified radical is given by:

\(3 \times \sqrt[3]{3} \times x^2 \times \sqrt[3]{x} \times y^3 \times z \times \sqrt[3]{z^2}\)

\(3x^2y^3z\sqrt[3]{3xz^2}\)

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(a) Mathematically, this can be expressed as: MRS = p1/p2, where MRS is the marginal rate of substitution and p1/p2 is the price ratio of the two goods. (b) This condition ensures that the consumer would not be willing to trade more units of the second good for the first good at the given prices, as it would violate the optimality condition for utility maximization.

(a) To show that the indifference curve through an interior solution, denoted as x*, must be tangent to the consumer's budget line, we can use the concept of marginal rate of substitution (MRS) and the slope of the budget line.

The MRS measures the rate at which a consumer is willing to trade one good for another while remaining on the same indifference curve. It represents the slope of the indifference curve.

The budget line represents the combinations of goods that the consumer can afford given their income and prices. Its slope is determined by the price ratio of the two goods.

If x* is an interior solution, it means that the consumer is consuming positive amounts of both goods. At x*, the MRS must be equal to the price ratio for the consumer to be in equilibrium.

Mathematically, this can be expressed as:

MRS = p1/p2

where MRS is the marginal rate of substitution and p1/p2 is the price ratio of the two goods.

(b) If x* ∈ \(R+^2\)and x1* = 0, it means that the consumer is consuming only the second good and not consuming any units of the first good.

In this case, the marginal utility of the second good (MU2) divided by the marginal utility of the first good (MU1) should be less than the price ratio of the two goods (p2/p1) for the consumer to be in equilibrium.

Mathematically, this can be expressed as:

MU2/MU1 < p2/p1

This condition ensures that the consumer would not be willing to trade more units of the second good for the first good at the given prices, as it would violate the optimality condition for utility maximization.

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Answer: ≈ 21.46 m²

Step-by-step explanation:

Area of square = 10 x 10 = 100 m²

Area of circle = π(5²) = 25π m²

Area of total = 100 - 25π = 21.46018366

≈ 21.46 m²

Using visual interpretation of the plot trend, the scatter plot shows positive correlation.

A positive correlation is depicted by a positive slope or trend line on a scatter plot. The trend of the scatter plot slopes upward which establishes a positive association.

If the slope is otherwise negative, such that the trend line slopes downward, then we have a negative association or relationship.

Therefore, the scatter plot shows positive relationship.

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Answer:

B = 70

Step-by-step explanation:

Answer:70

Step-by-step explanation:

The system of equations from the graph are y= -1/3 x+6 and y= 4x-4.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Equation of green line:

Points on the green line are (-3, 5) and (3, 3)

Here, slope (m)= (3-5)/(3+3)

= -2/6

m= -1/3

Substitute, m= -1/3 and (x, y)=(-3, 5) in y=mx+c, we get

5= -1/3 (3)+c

c=6

Substitute, m= -1/3 and c=6 in y=mx+c, we get

y= -1/3 x+6

Equation of blue line:

Points on the blue line are (1, 0) and (0, -4)

Slope (m)= (-4-0)(0-1)

m= 4

Substitute, m= 4 and (x, y)=(1, 0) in y=mx+c, we get

0=4(1)+c

c= -4

Substitute, m= 4 and c= -4 in y=mx+c, we get

y= 4x-4

Therefore, the system of equations from the graph are y= -1/3 x+6 and y= 4x-4.

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Answer:

" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56

Step-by-step explanation:

Consider the steps below;

\(Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56\)

Solution; " Expected Payoff " ⇒ $ 1.56

Answer:

1120°

Step-by-step explanation:

Use the sum of interior angles formula:

\(180(n-2)\)

Where n is the number of sides.

In a nonagon, there are 9 sides, substitute 9 for n:

\(180(9-2)\\180(7)\\1260\)

Since our nonagon is a regular nonagon, all 9 angles measure the same, so each angle measures:

\(\frac{1260}{9} =140\)

Subtract 140 from 1260:

\(1260-140=1120\)

The Mean for June 2006 and 2005 is  $345,909 and $335,977 respectively. The median for June 2006 and 2005 is $254,000 and $139,000 respectively, there's no mode in this question.

In statistics, the mean, mode, and median are three measures of central tendency that describe a set of numerical data.

The mean is the average of a set of numbers, calculated by adding up all the values and dividing by the number of values. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the mean is (1 + 2 + 3 + 4 + 5) / 5 = 3.

The mode is the value that appears most frequently in a set of data. For example, if a set of data contains the values {1, 2, 2, 3, 4, 4, 4, 5}, the mode is 4, because it appears three times, which is more than any other value.

The median is the middle value in a set of data when it is ordered in ascending or descending order. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the median is 3, because it is the middle value. If there is an even number of values, then the median is the average of the two middle values.

It is important to note that different sets of data may have different measures of central tendency, and sometimes none of these measures may be appropriate.

Measures of central tendency are used to summarize and describe a set of data. The most common measures of central tendency are the mean, median, and mode.

1. Mean:

• Mean for June 2006: (508+435+538+913+367+033+254+240+137+022+160+548+260+458+358+035+222+879+136+371+127+586+201+316)/22 = $345,909

• Mean for June 2005: (422+843+469+588+245+803+199+409+132+054+139+728+254+725+345+065+210+740+134+334+125+455+184+853)/22 = $335,977

2. Median:

• Median for June 2006: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $254,000

• Median for June 2005: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $139,000

3. Mode:

• Mode for June 2006: There is no mode, because no value is repeated.

• Mode for June 2005: There is no mode, because no value is repeated.

Conclusions:

• The mean housing price in June 2006 is higher than the mean housing price in June

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Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16

What do you mean by One-to-One Correspondence?

the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.

Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.

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Answer:

A double expression

Step-by-step explanation:

These data are considered to be descriptive statistics.

The given data, which includes the mean, median, mode, and range, are examples of descriptive statistics. Descriptive statistics are used to summarize and describe data in a meaningful way.

The mean is the average value of the data, the median is the middle value when the data is sorted in order, the mode is the most frequent value in the data.

The range is the difference between the largest and smallest values in the data. These measures provide valuable information about the central tendency and variability of the data.

Descriptive statistics are essential for understanding and interpreting data, and they are commonly used in fields such as social sciences, business, and engineering.

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Answer:

120

Step-by-step explanation:

360

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3

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Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

-----------------------------------------------------------------------------------------------

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

Answer:

(4×6)(5×5)

20 × 30

(4×5)(6×5)

(2×5)(10×6)

An example of a sample space S could be rolling a fair six-sided die, where each face has a number from 1 to 6.
Let's define three events:
- E1: Rolling an even number (2, 4, or 6)
- E2: Rolling a number less than 4 (1, 2, or 3)
- E3: Rolling a prime number (2, 3, or 5)
To verify that these events are pairwise independent, we need to check that the probability of the intersection of any two events is equal to the product of their individual probabilities.
1. E1 ∩ E2: The numbers that satisfy both events are 2. So, P(E1 ∩ E2) = 1/6. Since P(E1) = 3/6 and P(E2) = 3/6, we have P(E1) × P(E2) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E1 ∩ E2) = P(E1) × P(E2), E1 and E2 are pairwise independent.

2. E1 ∩ E3: The numbers that satisfy both events are 2. So, P(E1 ∩ E3) = 1/6. Since P(E1) = 3/6 and P(E3) = 3/6, we have P(E1) × P(E3) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E1 ∩ E3) = P(E1) × P(E3), E1 and E3 are pairwise independent.

3. E2 ∩ E3: The numbers that satisfy both events are 2 and 3. So, P(E2 ∩ E3) = 2/6 = 1/3. Since P(E2) = 3/6 and P(E3) = 3/6, we have P(E2) × P(E3) = (3/6) × (3/6) = 9/36 = 1/4. Since P(E2 ∩ E3) ≠ P(E2) × P(E3), E2 and E3 are not pairwise independent.
Therefore, we have found an example where E1 and E2, as well as E1 and E3, are pairwise independent, but E2 and E3 are not pairwise independent. Hence, these events are not mutually independent.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

3:45

Step-by-step explanation:

because if you add 2 to 1 it is 3 and that is 3pm and it says 2:00 and the 00 are the minutes minutes so you can add those in and it will be 45 so 3:45

Question 1:

Adding 2 to both sides of the equation gives

Now, the absolute value decomposes the above equation into two separate equations

The first equation gives

The second equation gives

The graph of the system is

We see that the solutions exists at x =-1.

Question 2.

Adding 2 to both sides of the equation gives

Decomposing the absolute value on LHS gives us two equations

Solving the first equation gives

Solving the second equation gives

Hence, the solution to the equation is

The graph of the solutions is

We see that the solution is at x = -1 and x = 1; hence, our solution is confirmed.

Answer:

To find the percentage score for Jude, we need to divide the number of points scored by the total number of points and multiply the result by 100. This can be written as:

Percentage score for Jude = (10/35) * 100 = 28.57%

To find the percentage score for Tom, we need to divide the number of points scored by the total number of points and multiply the result by 100. This can be written as:

Percentage score for Tom = (18/46) * 100 = 39.13%

Since Tom scored a higher percentage of points compared to Jude, Tom got the highest score.