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Assoli18 [71]
3 years ago
15

Evaluate (15-4x) +5 when x=3

Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

just substitute 3 in for x.

(15- 4 x 3) + 5

4 x 3 = 12

15 - 12 = 3

3 + 5 = 8

<em><u>Hope this is correct!</u></em>

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A deck of cards contains 30 cards with labels 1, 2, . . . , 30. Suppose that somebody is randomly dealt a set of 7 cards of thes
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\displaystyle |\Omega|=\binom{30}{7}=\dfrac{30!}{7!23!}=\dfrac{24\cdot25\cdot\ldots\cdot30}{2\cdot3\cdot\ldots\cdot 7}=2035800

a)

\displaystyle\\|A|=\binom{15}{3}\cdot \binom{15}{4}=\dfrac{15!}{3!12!}\cdot\dfrac{15!}{4!11!}=\dfrac{13\cdot14\cdot15}{2\cdot3}\cdot\dfrac{12\cdot13\cdot14\cdot15}{2\cdot3\cdot4}=13\cdot7\cdot5\cdot13\cdot7\cdot15=621075\\\\P(A)=\dfrac{621075}{2035800}=\dfrac{637}{2088}\approx30.5\%

b)

\displaystyle\\|A|=\binom{10}{7}\cdot 3^7=\dfrac{10!}{7!3!}\cdot2187=\dfrac{8\cdot9\cdot10}{2\cdot3}\cdot2187=4\cdot3\cdot10\cdot2187=262440\\\\P(A)=\dfrac{262440}{2035800}=\dfrac{243}{1885}\approx12.9\%

4 0
2 years ago
What is the answer to this? i can’t figure it out.
Svetach [21]

9514 1404 393

Answer:

  25 +0i

Step-by-step explanation:

The conjugate of a complex number is that number with the sign of the imaginary part reversed.

For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...

  (-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)

  = 9 +12i -12i -16i² = 9 +16 = 25

The real part of the product is 25; the imaginary part is 0.

  (-3 +4i)(-3 -4i) = 25 +0i

_____

You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

When they ask for the sample space they want to know all the possible combinations for:

Toppings                         Meats                      Dressings

M = Mushrooms              T = Turkey               R = Ranch

A = Asparagus                P = Pepperoni          V = Vinaigrette

The easiest way to see all the combinations is doing a tree diagram in which you put all the posible options, as in the image.

After that you just follow each of the lines to make all the posible combinations form which we get:

Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}

8 0
4 years ago
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Answer:

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3 0
4 years ago
What is the equation of the line that passes through the point (-4, -7) and has a<br> slope of 5/2 ?
ololo11 [35]

Answer:

2y -5x=6

Step-by-step explanation:

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(y+7) =(5/2)(x+4)

2(y +7) = 5(x+4)

2y +14 = 5x +20

2y - 5x = 6

4 0
3 years ago
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