Given y = 2 |3 - 7x| + 4, which set describes x when y < 10?

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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Since AD is tangent to the circle at point C, we know that angle BCA is a right angle. Therefore, the measure of angle BCA is 90 degrees.

The measurement of what is not specified, please provide more information.
The value of x cannot be determined without additional information about the diagram.

The value of n cannot be determined without additional information about the diagram.
In the picture, Line BC is an example of a line, segment DB is a line segment, and line DB is also a line.

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Answer:

False, the mean  is 2 6/7

Step-by-step explanation:

[tex]\frac{(4x1)+(3x4) +(2x2)}{7}[/tex]  There are a total of 7 numbers

[tex]\frac{4 + 12+ 4}{7}[/tex]

[tex]\frac{20}{7}[/tex] = 2 6/7

Answer:

false

mean =efx/ef

=(4x1)+(4x3)+(2x2)/1+4+2

=4+12+4/7

=20/7

its 0

it's pretty long ngl

The statement that best describes the expression that is given above would be a sum of 2 terms. That is option A.

A term is defined as the major part of an algebraic expressions that contains a signed number, a variable, or a constant multiplied by a variable or variables.

The algebraic expression given is as follows;

= 7x + 4

Where;

7 = coefficient

X = variable

4 = Constant

But 7x = A Term

4 = A Term

Therefore, a sum of 2 terms is the best statement the explains the given expression.

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The products that are greater than 2 5/6 are B. 2 5/6 × 2 5/6,  C. 2 5/6 × 1 5/8 and  E. 6/5 × 2 5/6

From the question, we have the following parameters that can be used in our computation:

Number = 2 5/6

The general rule is that

Using the above as a guide, we have the following:

the products that are greater than 2 5/6 are B. 2 5/6 × 2 5/6,  C. 2 5/6 × 1 5/8 and  E. 6/5 × 2 5/6

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Question

Which products are greater than 2 5/6?

A. 1/8 × 2 5/6

B. 2 5/6 × 2 5/6

C. 2 5/6 × 1 5/8

D. 5/6 × 2 5/6

E. 6/5 × 2 5/6

Answer:

Hence, n 3 −n=n(n+1)(n−1) is divisible by 6.

Step-by-step explanation:

The condition for any number to be divisible by 6 is that the number must be individually divisible by 3 and 2.

Check whether n 3−n is divisible by 3.

n3−n=n(n+1)(n−1)

When a number is divided by 3 then by the remainder theorem, the remainder obtained is either 0 or 1 or 2.

n=3p or n=3p+1 or n=3p+2, where p is some integer.

If n=3p, then the number is divisible by 3.

If n=3p+1, then n−1=3p+1−1=3p. The number is divisible by 3.

If n=3p+2, then n+1=3p+2+1=3(p+1). The number is divisible by 3.

So, any number in the form of n

3

−n=n(n+1)(n−1) is divisible by 3.

Check whether n

3

−n is divisible by 2.

When a number is divided by 2, the remainder obtained is either 0 or 1 by the remainder theorem.

n=2p or n=2p+1, where p  is some integer.

If n=2p, then the number is divisible by 2.

If n=2p+1 then n−1=2p+1−1=2p. The number is divisible by 2.

So, any number in the form of n

3

−n=n(n+1)(n−1) is divisible by 2.

Since, the given number n

3

−n=n(n+1)(n−1) is divisible by both 3 and 2. Therefore, according to the divisibility rule of 6, the given number is divisible by 6.

Answer:

Step-by-step explanation:

Let's simplify the equation first:

(n-3)(n+2)-(n-3)(n+8)

= n² - n - 6 - (n² + 5n - 24)

= n² - n - 6 - n² - 5n +24

= -6n - 18

Divisible means that the equation can be divided by 6 with no remainder.

If I divide the equation by 6, I get (-n-3)

It goes in evenly, therefore it is divisible by 6

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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The value of x for the chord is:

x = 12

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

Recall that: If two chords intersect inside the circle, then they cut each other in such a way that the product of the lengths of the parts is the same for the two chords.

Using the above principle, we can say:

3 * x = 4 * 9

3x = 36

x = 36/3

x = 12

Thus, the value of x for the chord is 12.

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Mr. Burst needs to eat more than 8 minutes to beat Mr. Bean's record.

Let's define the variables:

x - the number of minutes Mr. Burst has been eating spring rolls

y - the total number of spring rolls Mr. Burst has eaten

Based on the given information, we can set up the following inequality:

y = 8 + 4.5x (equation representing the number of spring rolls Mr. Burst has eaten)

We want Mr. Burst to eat more than 44 spring rolls to beat Mr. Bean's record. Therefore, we can set up the inequality:

y > 44

Substituting the equation for y, we have:

8 + 4.5x > 44

To solve for x, we can isolate the variable:

4.5x > 44 - 8

4.5x > 36

x > 36 / 4.5

x > 8

Mr. Burst needs to eat more than 8 minutes to beat Mr. Bean's record.

To graph the solution, we plot the inequality on a number line, shading the region to the right of x = 8. This shows all the possible values of x that satisfy the inequality. The y-axis represents the number of minutes, and the x-axis represents the number of spring rolls.

|-----------------------|------------------>

0 8

Therefore, Mr. Burst needs to eat more than 8 minutes to beat Mr. Bean's record.

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The horizontal distance to the base of the object from our current position is approximately 50 meters.

Let's assume that we find out that the height of the object is 50 meters.

Since the object is a right cylindrical cone whose radius equals its height, we know that the angle between PR and QR is 45 degrees (half of 90 degrees).

We can use this information to set up a right triangle with PR as the hypotenuse, PQ as one leg, and QR as the other leg.

We can use trigonometry to solve for PQ, which represents the horizontal distance to the base of the object from our current position.

We know that tan(45) = PQ/50, where PQ is in meters.

Solving for PQ, we get:

PQ = 50 meters x tan(45°) = 50 meters x 1 = 50 meters.

Therefore, the horizontal distance to the base of the object from our current position is approximately 50 meters.

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The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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The solution is: the data (-1,0), (0, 12), (1, 16), (2, 12), (3, 0), represent a Quadratic function. and, the function is: where x as the variable: y = -4x² + 8x + 12.

Here, we have,

the data represent a function.

(-1,0), (0, 12), (1, 16), (2, 12), (3, 0)

now, we have,

when we plot the data in a graph

we get,

graph attached

it is a parabola,

so, we get,

the data (-1,0), (0, 12), (1, 16), (2, 12), (3, 0), represent a Quadratic function.

now, we get,

the function. where x as the variable:

y = -4x² + 8x + 12

Hence, The solution is: the data (-1,0), (0, 12), (1, 16), (2, 12), (3, 0), represent a Quadratic function. and, the function is: where x as the variable: y = -4x² + 8x + 12.

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The class limit of the given data is the actual values from the data that represents the lower values and the larger values of a data set. While the class boundaries represents the values that eliminate gaps between the classes in the frequency distribution which are one decimal place more accurate than the data.

To determine the class limit, using a class interval of 5.00, the following should be carried out;

The lowest figure from the given data set = 48.6. Therefore, the lower class interval should start from a figure lower than 48.6 such as = 45.0

For the class limits;

= 46.0 - 50.0

50.0 - 54.0

54.0 - 58.0

58.0 - 62.0

62.0 - 66.0

66.0 - 70.0

70.0 - 74.0

74.0 - 78.0

78.0 - 82.0

82.0 - 86.0

86.0 - 90.0

90.0 - 94.0

The class boundaries would be determined below:

45.50 - 50.50

50.50 - 54.50

54.50 - 58.50

58.50 - 62.50

62.50 - 66.50

66.50 - 70.50

70.50 - 74.50

74.50 - 78.50

78.50 - 82.50

82.50 - 86.50

86.50 - 90.50

90.50 - 94.50

94.50 - 99.50

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Answer:

a) -4653.
b) -9180.
c) -2700.

Step-by-step explanation:

a) To evaluate using the distributive property, we can break down the multiplication as follows:

-99 x 47 = (-100 + 1) x 47 [Using the fact that -99 can be expressed as -100 + 1]

= (-100 x 47) + (1 x 47) [Distributive property]

= -4700 + 47

= -4653

Therefore, -99 x 47 = -4653.

b) Similarly, we can break down the multiplication using the distributive property:

-85 x 108 = (-100 + 15) x 108 [Using the fact that -85 can be expressed as -100 + 15]

= (-100 x 108) + (15 x 108) [Distributive property]

= -10800 + 1620

= -9180

Therefore, -85 x 108 = -9180.

c) Using the distributive property:

(-54) x 12 + (-38) x 54 = (-54 x 12) + (-38 x 54)

= -648 + (-2052)

= -648 - 2052

= -2700

Therefore, (-54) × 12 + (-38) × 54​ = -2700.

Answer:

The value of the expression is 7.5

Step-by-step explanation:

To calculate the value of the expression -4 + (4.5 + 7), we first need to simplify the inner parentheses:

-4 + (4.5 + 7)

-4 + 11.5

Next, we can perform the addition:

-4 + 11.5 = 7.5

Therefore, the value of the expression -4 + (4.5 + 7) is 7.5.

Answer:

The statement b is true

The probability that a pitcher will throw exactly one pitch in an at-bat is given as follows:

P(1) = 0.15 = 15%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The number of desired outcomes for this problem is given as follows:

12. (number of at bats with 1 pitch thrown).

The total number of outcomes is given as follows:

12 + 16 + 32 + 12 + 8 = 80.

Hence the probability is given as follows:

p = 12/80

p = 0.15 = 15%.

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The correct statement for the graph is,

⇒ The function has two zeros.

⇒ The vertex is located at (- 1, - 4)

Since, A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.

We have to given that;

The graph is shown in image.

Since, We know that;

Graph of function cut at two point on x - axis.

Hence, We can say that,

Function has two real zeroes.

And, The vertex of parabola is,

V = (- 1, - 4)

Hence, Function has maximum at at x = - 1.

Thus, The correct statement for the graph is,

⇒ The function has two zeros.

⇒ The vertex is located at (- 1, - 4)

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The given information does not provide a clear question or prompt. It seems to be a list of medical expenses incurred by Jacobi Duarte after meeting the family's deductible. Without a specific question or context, it is difficult to provide a meaningful response or analysis. Please provide more information or clarify the question.

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer:30

Step-by-step explanation:47-17 = 30

The percent change is 20%.The correct answer is option C.

To calculate the percent change, we can use the following formula:

Percent Change = (New Value - Old Value) / Old Value * 100

In this case, the old value is $25 (the previous cost to fill the gas tank), and the new value is $30 (the current cost to fill the gas tank).

Percent Change = ($30 - $25) / $25 * 100

Percent Change = $5 / $25 * 100

Percent Change = 0.2 * 100

Percent Change = 20%

Therefore, the percent change is 20%. So the correct answer is C. 20%.

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Answer:

$2,856.71

Step-by-step explanation:

To find the best estimate of the population mean for fuel consumption among vehicles, we can calculate the sample mean using the given data.

Sample mean = (sum of all values) / (number of values)

= (28 + 13 + 32 + 28 + 22 + 15 + 24 + 11 + 37 + 10) / 10

= 20.8

Rounding to the nearest mile per gallon, the best estimate of the population mean for fuel consumption among vehicles is 21 miles per gallon.

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The exact value of the expression is -05

To determine the value, we need to know the conversion formula for radians to degrees

We have that;

1 radian = 57.2958 degrees

If the value of the radian is in terms of pie, we have that;

π radians = 180 degrees

Then, from the information given, we have that;

if π radians = 180 degrees

-10π/3  = x

x = -1800π/3 × 1/π

Divide the values, we get;

x = -600

Now, substitute the value into the cosine identity, we have;

cos(-600)

determine the value, we get;

-0.5

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Answer:

4.5 hours

Step-by-step explanation:

2 people working at same rate take 9 hours

so 1 person will take (9)(2) = 18 hours

so 3 people working at same rate will be, since every person halves the time,

18/4 = 4.5 hours

Based on the distribution of the points on the residual plot, where the points are randomly dispersed and shows no obvious trend or pattern, then we can conclude that a Least Square Regression model is appropriate for the data .

The graph of a residual plot is used to Analyse the the appropriateness of a linear regression to model a given data set. The residual values are plotted against the independent variable in other to make a residual plot of the data.

The arrangement of the points on the residual graph is key to making a decision on the model.

Therefore, since the residual plot produced shows a random distribution of the residual values, then the least square regression model is appropriate for the data.

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The graph displays a residual plot that was constructed after running a least-squares regression on a set of bivariate numerical data (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis.

A residual plot has horizontal axis, x, which ranges from 0 to 10, in increments of 1. The vertical axis is labeled, residual, and ranges from negative 1 to 1, in increments of 0.5. 10 points are plotted as follows: (1, negative 0.4), (2, 1.1), (3, negative 1.1), (4, 0), (5, 0.6), (6, negative 0.3), (7, 0.1), (8, 0.2), (9, 0.1), and (10, negative 0.3). All values estimated.

What can you conclude from this graph?

The expression x^2 + 64 is a quadratic expression that cannot be factored using real numbers. However, it can be factored using complex numbers.

We know that i^2 = -1, so we can write:

x^2 + 64 = x^2 - (-64)

Now, we can use the difference of squares formula, which states that:

a^2 - b^2 = (a + b)(a - b)

Using this formula, we can write:

x^2 + 64 = (x + 8i)(x - 8i)

Therefore, the factored form of x^2 + 64 is (x + 8i)(x - 8i).

[tex]x^{2} + 64[/tex] can be factored into [tex](x + 8i)(x - 8i)[/tex], where [tex]i[/tex] is the imaginary unit.

Answer:

There are are 15 pencils