Suppose we want to choose 5 objects, without replacement, from 10 distinct objects. (a) How many ways can this be done, if the order of the choices is relevant? (b) How many ways can this be done, if the order of the choices is not relevant?

The average grade for this test is given as follows:

1.85.

The average grade is obtained as the mean of the data-set containing all the grades, which is given by the sum of all grades divided by the number of grades.

Considering the numerical equivalents of each letter, the grades in this problem are given as follows:

The total number of grades is given as follows:

11 + 18 + 52 + 13 + 6 = 100.

The sum of these grades is given as follows:

11 x 0 + 18 x 1 + 52 x 2 + 13 x 3 + 6 x 4 = 185.

Hence the average grade is of:

185/100 = 1.85.

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The dimensions of the actual garden in feet is 37.5 feet x 25 feet

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

2 inches = 5 feet.

The dimensions of the garden on the scale drawing.

= 15 inches x 10 inches

Now,

2 inches = 5 feet

15 inches = 15/2 x 5 feet

15 inches = 37.5 feet

10 inches = 10/2 x 5 feet

10 inches = 25 feet

Thus,

37.5 feet x 25 feet are the dimensions of the actual garden in feet.

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Answer:

Step-by-step explanation:

Answer:

A. The output value for the function f when x = -1.

Step-by-step explanation:

x is input.

f(x) is output.

f(-1) is the output when x = -1.

Answer:

A. The output value for the function f when x = -1.

Answer:

d.

Step-by-step explanation:

it says it in the question 18 miles 5 hours

its not asking you to work out exactly.

Probability of cars waiting at the drive-up window is P (X=0) = 0.1353 and P (X=2) = 0.2707

The variety of strategies for achievement. the number of potential outcomes. For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one method to acquire a head and there are a total of 2 potential outcomes (a head or tail). We specify P(heads) = 1/2.

There are typically 2. chance of automobiles waiting at the drive-up window on any given morning at 9 o'clock, according to a Poisson distribution. a. P(x=0) P(x=0) X = 1, 2,..., 10

X≅ P(2)

a. P(x=0)

P(x=0)  

[tex]e^{-2}[/tex] . [tex]2^{0}[/tex] ÷ 0!

[tex]e^{-2}[/tex]

0.1353

b. P(x=2)

[tex]e^{-2}[/tex] .[tex]2^{2}[/tex] ÷ 2!

2[tex]e^{-2}[/tex]

0.2707

So

Probability of cars waiting at the drive-up window is P (X=0) = 0.1353 and P (X=2) = 0.2707

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The given expression can be factorized to obtain 18h + 30k = 6(3h + 5k).

First find the greatest factor common to all the terms of the given expression. Then, take out that term as a common and the remaining terms are written inside a bracket.

The given expression is 18h + 30k.

The GCF of 18 h and 30 k is 6.

Now, the given expression can be factorized as  follows,

18h + 30k

= 6 × 3h + 6 × 5k

= 6(3h + 5k)

Hence, the factored form of the given expression is 6(3h + 5k).

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Answer:3/4 10

Step-by-step explanation:

Answer:

$4.00

Step-by-step explanation:

There is, in total, 4 people attending the movies. [Zack and his 3 friends]

If each ticket costs $8.00, we can use 4 x $8.00 to find out how much the tickets costs.

4 x $8.00 = $32.00

If his mom paid $48 dollars in total, to get the amount of money they spent on snacks, we can use $48 - $32.

$48 - 32 = $16

We can now divide $16.00 by 4, as everyone [Zack and his 3 friends] got the same snack from the concession stand, and that leaves us with the equation: $16/4 [also known as 16 divided by 4]

$16/4 = $4.00

Each snack set cost $4.00

The fraction of the floor is covered by white tiles is 1/3.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Assumed figure:

Places covered by white tiles = 18

Total tiles = 54

The Fraction covered by white tiles will be:

= Number of whitw tiles / Total tiles

= 18/54

= 1/3

The Fraction is 1/3.

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The magnitude of each part, after dividing, will be equivalent to 27.9.

Given is to divide 418.50 between 15.

We have to divide 418.50 between 15. If we have to divide 418.50 into 15 equal parts, then we can write -

15x = 418.50

x = 418.50/15

x = 27.9

Therefore, after dividing, each part will be equivalent to 27.9.

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[ Question in english -

418.50 between 15

Explanation]

78/9, √45 ,  ³√97 is the order of numbers from greatest to least.

Given,

The numbers;

³√97, 78/9, √45

We have to order these numbers from greatest to least.

Ordering of numbers;

A series of numbers can be arranged in numerical order. Both ascending and descending orders are possible. For instance, suppose you arranged a group of numbers in ascending order as 2, 55, 103, 256, and 802, for instance. This can make it much simpler to look through a large collection of numbers.

Here,

First we have to find the values of the numbers.

The value of ³√97 = 4.59

The value of 78/9 = 8.66

The value of  √45 = 6.71

So,

The greatest one is 78/9 and the least one is ³√97

Therefore,

The order of numbers from greatest to least is 78/9, √45 ,  ³√97

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The equation represents a line with a positive slope and a negative y-intercept is  y = 7.5x - 2

The slope-intercept form of the equation of a line is y = mx + c

where m is the slope and c is the y-intercept

Given: y = 3.5x, y = 1/4 x + 7, y = 7.5x - 2 and y = -5x - 8

For  y = 3.5x:

y = 3.5x

Comparing with y = mx +c

m = 3.5 and c = 0

For y = 1/4 x + 7:

y = 1/4 x + 7

Comparing with y = mx +c

m = 1/4 and c = 7

For  y = 7.5x - 2 :

y = 7.5x - 2

Comparing with y = mx +c

m = 7.5 and c = -2

For  y = -5x - 8 :

y = -5x - 8

Comparing with y = mx +c

m = -5 and c = -8

Thus, y = 7.5x - 2 has a positive slope (7.5) and a negative y-intercept (-2)

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Answer:

see explanation

Step-by-step explanation:

$1.25 is the cost per ticket

Jermaine bought 25 tickets in total

Spent a total of $43.75

y = total cost

x = number of ride tickets

1.25 ( 25 ) = 31.25

31.25 is the total money spent on ONLY tickets.

To find the cost of admission...

43.75 - 31.25 = 12.50

The cost of admission is $12.50

Equation: 1.25x + 12.5 = y

The answer is 24

sorry if i did not say more its hard to explain sorry again

Answer:

125

Step-by-step explanation:

Answer:

  20%

Step-by-step explanation:

You want to know the percentage error in an estimate of 1.8 L for an actual value of 1.5 L.

The percentage error is the ratio of error amount to actual value, multiplied by 100%.

  Error amount = estimate - actual = 1.8 L -1.5 L = 0.3 L

  ratio = (error amount)/(actual) = (0.3 L)/(1.5 L) = 0.2

  percentage error = 0.2 × 100% = 20%

The error in the student's estimate is 20%.

By the concept of the sum of the adjacent angle in a parallelogram, we determine m∠PQR = 76°.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

We know a parallelogram has opposite angles of equal measure and the sum of adjacent angles is 180°.

Given, m∠QRP = 38° and m∠PRS = 66°.

∴ m∠PQR = 180° - 38° - 66°.

m∠PQR = 76°.

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Answer:

the fourth vertex is (3,5) or (6,6)

Step-by-step explanation:

this so ez i dont need to explain it

The factors of 46xy[tex]z^5[/tex] are 46, x, y, z, z, z, z, and z.

The factors of 19[tex]n^8y^3[/tex]are 19, n, n, n, n, n, n, n, n, y, y, and y.

The factors of 62d³f are 62, d, d, d, and f.

The factors of 36a[tex]b^4[/tex] are 36, a, b, b, b, and b.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

46xy[tex]z^5[/tex]

The factors are 46, x, y, z, z, z, z, and z.

19[tex]n^8y^3[/tex]

The factors are 19, n, n, n, n, n, n, n, n, y, y, and y.

62d³f

The factors are 62, d, d, d, and f.

36a[tex]b^4[/tex]

The factors are 36, a, b, b, b, and b.

Thus,

The factors are given above.

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By solving an equation, we know that the value of w or the number of dogs Tina must wash to earn a profit of $400 is 5.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, using the  information given, the equation can be formed as:

21w - 65 = 40

Now, solve for the subject w to get the value of w as follows:

21w - 65 = 40

21w = 40 + 65

21w = 105

w = 105/21

w = 5

Therefore, by solving an equation, we know that the value of w or the number of dogs Tina must wash to earn a profit of $400 is 5.

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The polynomial p(x) = 3x³ - 5x² - 4x + 4 can be written as a product of linear factor as (x + 1) (3x - 2) (x - 2).

A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminate (also known as variables) and coefficients.

Given:

p(x) = 3x³ - 5x² - 4x + 4

Factor = (x - 2)

Divide the equation by (x - 2) as shown below,

(3x³ - 5x² - 4x + 4) /  (x - 2)

= (3x² + x - 2)

Factorize the above equation,

= 3x² - 2x + 3x  - 2

= (x + 1) (3x - 2)

Therefore, the polynomial p(x) = 3x³ - 5x² - 4x + 4 can be written as a product of linear factor as (x + 1) (3x - 2) (x - 2).

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Answer:

are three rectangles with the same measurements and the same area, therefore they are worth 1/3, the whole figure, with three rectangles, is worth 3/3

Step-by-step explanation:

Answer:

x = 2

y = -2

z = 9

(2,-2,9)

Step-by-step explanation:

Answer:

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

Given:

The difference in the inventory is same as the difference between cost of goods sold and net purchase.

Net purchase is the sum of the cost of goods and the difference between beginning and ending inventory:

Answer:

The difference in the inventory is same as the difference between cost of goods sold and net purchase.

42100 - 38900 = 3200

Step-by-step explanation:

Net purchase is the sum of the cost of goods and the difference between beginning and ending inventory:

Net Purchase = 83500 + 3200 = 86700

Brainliest pls?

:)

Answer:

  y = -3(x +4)(x -1)/((x +3)(x -6))

Step-by-step explanation:

You want a rational function with vertical asymptotes at -3, 6; x-intercepts at -4, 1; and a horizontal asymptote at y = -3.

A rational function will have vertical asymptotes at the denominator zeros. Vertical asymptotes at -3 and 6 will be had if the denominator has factors (x +3) and (x -6).

A rational function will have x-intercept at the numerator zeros. X-intercepts at -4 and 1 will be had if the numerator has factors (x +4) and (x -1).

A horizontal asymptote will be found at the y-value that is the (constant) ratio of the highest-degree terms of the numerator and denominator. Here, we can achieve that by multiplying the factors mentioned above by the desired constant (-3).

The equation is ...

  [tex]\boxed{y=-3\dfrac{(x+3)(x-6)}{(x+4)(x-1)}}[/tex]

__

Additional comment

A "hole" will be found where a numerator and denominator factor cancel. For example, a hole at x=7 could be achieved by making the function have an additional numerator factor of (x -7) and an additional denominator factor of (x -7).

Effectively, the horizontal asymptote is the quotient of the numerator and denominator (excluding the "remainder"). If that quotient is a linear (or other) function, the graph will asymptotically approach that function as the magnitude of x gets large. A linear function gives a "slant aymptote."

Answer:

5 1/4

Step-by-step explanation:

Hope this helps!

The poster will covers [tex]4\frac{19}{32}[/tex] square feet space of the wall.

What is a rectangle?

A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

Given that the height of the poster is  2 5/8 feet.

The wide of the poster is 1 3/4 feet.

Now convert the numbers 1 3/4 feet, 2 5/8 feet mixed fraction to improper fraction:

2 5/8 feet = [(2×8) + 5]/8 = 21/8 feet

1 3/4 feet = [(1×4) + 3]/4 = 7/4 feet

The area of a rectangle space is the product of length and breadth of the rectangle shape.

The area of the poster is

(21/8) × (7/4)

Now multiply the denominators of both fractions and numerators of both fraction:

(21  × 7)/(8×4)

= 147/32

= [tex]4\frac{19}{32}[/tex] square feet

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