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4 years ago

9

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

the probability that you guess the correct answers to both questions?

1 answer:

Maksim231197 [3]4 years ago

3 0

The probabilityof answering one question correctly is 1/3. To do this two times, the probability is 1/3*1/3 = 1/9 ≈ 11%

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If mn = 16 and m^2 + n^2 = 68 then (m+n)^2 =

Dima020 [189]

Answer:

B. 100

Step-by-step explanation:

(m + n)^2

= m^2 + 2mn + n^2

Rearrange

(m^2 + n^2) + 2mn

Substitute

(68) + 2*16

= 68 + 32

= 100

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3 years ago

If P(x,y) is the point on the unit circle defined by real number theta , then cot theta = _____.

podryga [215]

It would equal 1/tan.

8 0

4 years ago

In a particular country, the coins come in the denominations 1, 15 and 50 schillings. Whilst visiting this country, Peter bought

ELEN [110]

Answer:

Step-by-step explanation:

Depending on the tools available to your 11y.o., it's a typical question for linear inequalities.

Where a,b,c are the # of 1,15,50 coins given by the buyer, and d,e,f the # of coins given back by the seller.

1×a + 15×b + 50×c > 1×d + 15×e + 50×f

a+b+c+1>=d+e+f

a+b+c >=2

Now, there are other clues in the text :

If the seller gives back money, then you didn't pay with 1's, otherwise, it means you overpay and you could have given fewer coins. So a=0.

Similarly, the seller cannot give you back a coin of 50, otherwise, you could have given fewer coins as the buyer. So f=0.

So that gives :

15×b + 50×c > 1×d + 15×e

b+c+1>=d+e

b+c >=2

From that point on, there is only a handful of scenarios to test.

5 0

2 years ago

A sequence of transformations that maps △RST to △R′S′T′ is a

blondinia [14]

Hey I'm on this question on my test too. I think the answer is:

First Box: "Reflection across the x-axis"
Last Box: "Translation 1 unit down"

What the sentence should look like = "<span>△RST</span><span> to </span><span>△<span>R′</span><span>S′</span><span>T′</span></span><span> is a reflection across the x-axis followed by a translation 1 unit down."

I hope this helps!</span>

6 0

4 years ago

A part of a whole that has<br> one hundred parts.

Anna11 [10]

$\frac{1}{100}$

is the correct answer!

6 0

3 years ago