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Bumek [7]
3 years ago
9

How many ways can five distinct paperback books and one hardcover book be arranged on a shelf if the hardcover must be the right

most book on the shelf?
Mathematics
2 answers:
maxonik [38]3 years ago
5 0

Answer:

a number of ways

Step-by-step explanation:

tyg

san4es73 [151]3 years ago
3 0

Answer:

120 choices

Step-by-step explanation:

giving 5×4×3×2×1=120 choices for arranging the books (from left to right).

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Simplify and state the excluded values:<br><br> 12x^3 - 12x/ 28x^3-56x^2+28x
Eddi Din [679]
<u>      12x³ - 12x      </u><u /> = 3/7 - 1/56x² - 3/7 = 3/7 - 3/7 - 1/56x² = -1/56x²
28x³ - 56x² + 28x
8 0
3 years ago
If the independent variable becomes very large what would be the expected change in the dependent variable
jenyasd209 [6]

Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

Step-by-step explanation:

5 0
3 years ago
Can please someone help me? The question is in the picture. Thank you
maxonik [38]

Answer:

C. 9\pi

Step-by-step explanation:

We proceed to solve for x by the Pythagorean Theorem:

(x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2} (1)

x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)

x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x  + 17

4\cdot x^{2} -20\cdot x + 16 = 0

(2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0

(2\cdot x -8)\cdot (2\cdot x -2) = 0

There are two different solutions:

x_{1} = 4, x_{2} = 1

A solution of x is considered realistic when the length of every side of the triangle is a not negative number.

x_{1} = 4

UV = 2\cdot (4) - 4

UV = 4

WU = 4 - 1

WU = 3

WV = 4 + 1

WV = 5

x_{2} = 1

UV = 2\cdot (1) - 4

UV = -2

WU = 1 - 1

WU = 0

WV = 1 + 1

WV = 2

The only realistic set of solutions is for x = 4, and the radius of the circle is represented by the line segment WU: r = 3

And the area of the circle (A) is calculated from the following formula:

A = \pi\cdot r^{2}

A = \pi\cdot (9)

A = 9\pi

The correct answer is C.

6 0
3 years ago
Given f(x) = X^2 – 5x + 6 state discriminant # of solutions
yaroslaw [1]
The discriminate formula is b^2+4ac so -5^2+4(1)(6)=49
5 0
2 years ago
At a certain concert, 73 % of the audience was under 20 years old. A random sample of n = 146 members of the audience was select
Tatiana [17]

Answer:  p = 0.73

Step-by-step explanation:

Given that,

73% of the audience was under 20 years old :

so, probability (p) = 0.73

n = 146

Mean of the distribution of sample proportion = ?

According to central limit theorem,

np(1-p) ≥ 10

146 × 0.73(0.27) ≥ 10

28.77 ≥ 10

∴ Central limit theorem assumes that the sample distribution of the sample proportion is normally distributed.

Hence, the mean of the distribution of sample proportion:

μ = p = 0.73

4 0
3 years ago
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