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3 years ago

You randomly guess the answers to two questions on a multiple-choice test. Each question has three choices: A, B, and C.

Mathematics

2 answers:

shepuryov [24]3 years ago

8 0

Answer:

ai) 1/9

ii) 11.1%

b) option 1

Step-by-step explanation:

Out of three options, one would be correct

Both correct:

1/3 × 1/3 = 1/9

1/9 × 100 = 11.1%

b) if one is eliminated,

two options left with one correct

1/2 × 1/2 = 1/4

1/4 × 100 = 25%

kupik [55]3 years ago

6 0

Answer:

Hello,

This question I've just been jotting down, so I won't explain much. If you want more, just comment!

a. There is only one correct answer for both. Since each question has 3 outcomes, we will have 1 over 3(3). That's 1/9

Thus, a is 1/9.

(about 11.11%

b. If you eliminate one of the choices, then there will be two possible outcomes. We will have 1 over 2(2), so 1/4.

Thus, b is 1/4.

(a in options)

Hope this helps!

(I'm not sure if you just want these answered or the others.)

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What is the slope of the line below.? With the coordinates (8,8) and (5,5)

yarga [219]

To find slope, use the equation:

(y₂ - y₁)/(x₂ - x₁) = slope

Let:

(8,8) = (x₂, y₂)

(5,5) = (x₁, y₁)

Plug numbers into corresponding areas.

(8 - 5)/(8-5) = 3/3

3/3 = 1

The slope of the line is 1, or 1/1 (rise 1, run 1)

hope this helps

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4 years ago

(f- g)(x) =<br> A. x2 + x-4<br> B. x2 + x + 4<br> C. 12- X+6<br> D. x2+x+6

kirill [66]

Step-by-step explanation:

I rlly think it is c.12-×+4

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3 years ago

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olga_2 [115]

Answer:

B is the answer

Step-by-step explanation:

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7 0

3 years ago

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

____ [38]

$\displaystyle |\Omega|=\binom{30}{7}=\dfrac{30!}{7!23!}=\dfrac{24\cdot25\cdot\ldots\cdot30}{2\cdot3\cdot\ldots\cdot 7}=2035800$

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

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

4 0

2 years ago

Need help with thisss

frozen [14]

9514 1404 393

Answer:

cos(x) = 0.6

Step-by-step explanation:

First, we need to find UQ.

UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)

UQ = 24 cm

Then TQ is ...

TQ = 1/3UQ = 1/3(24 cm) = 8 cm

And cos(x°) is ...

cos(x°) = √(1 -sin²(x)) = √(1 -64/100)

cos(x°) = 6/10 = 3/5

cos(x°) = 3/5 = 0.6

7 0

3 years ago