<u>Answer:</u>
<h2><u>-2.25</u></h2><h3>
<u>Step-by-step explanation:</u></h3>
Lets start with D:
It says, 0.43 but we're on the OPPOSITE of 0, so it can't be a positive number.
Same goes for C.
Now we are on to our last two.
B, is -2.5 and A, is -0.8
So, now we look at the point <em>B </em>and <em>assume</em>, because it says Select a reasonable value for Point B.
To me, point <em>B </em>looks to be about around -2.0
So, the <em>reasonable value </em>for this problem would be -2.25
<span><u>3x + 8 = 26 + x</u>
The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it. I'm not sure you're there yet.
The 'answer' or the 'solution' to the problem is a number. It's the number
that 'x' must be in order for that line at the top to be a true statement. There's
only one possibility.
To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too. With that ability, here's how
to 'figure out the problem', and find the answer:
The original problem: </span><span><u>3x + 8 = 26 + x</u>
Subtract 8 from each side:
3x = 18 + x
Subtract 'x' from each side:
2x = 18
Divide each side by 2 :
<u>x = 9 </u> .
That's what the answer looks like, and that's what the answer is.
' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.
I'll show you what I mean. Let's take the original problem
</span><span> <u><span>3x + 8 = 26 + x
</span></u><span>and let's write ' 2 ' wherever we see 'x' :
3 (2) + 8 = 26 + 2
3 (2) means 3 times 2, and that's 6 .
So now we have
6 + 8 = 26 + 2
Do the addition on each side, and we have
14 = 28 .
That's nonsense. 14 is not equal to 28 . The reason that happened
is because we put the wrong number in place of 'x' . When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .
</span><u><span /></u>
</span>
Step-by-step explanation:
We have that point A is at 3.
This is 3 units to the right of 0 on the number line.
The point that is opposite of A should be 3 units to the left of 0.
That point will be at -3.
Therefore you have to choose the point that is on -3.
It should be similar to one in the attachment.
⟘ = 90°
The intersect point is at the N not P, so the answer is m∠BNP = 90°
Answer:
(a) 0.1719
(b) 0.3504
Step-by-step explanation:
For every coin the number of heads follows a Binomial distribution and the probability that x of the 10 times are heads is equal to:
Where n is 10 and p is the probability to get head. it means that p is equal to 0.5 for the fair coin and 0.3 for the biased coin
So, for the fair coin, the probability that the number of heads is less than 4 is:
Where, for example, P(0) and P(1) are calculated as:
Then, 
, so there is a probability of 0.1719 that you conclude that the coin is biased given that the coin is fair.
At the same way, for the biased coin, the probability that the number of heads is at least 4 is:
Where, for example, P(4) is calculated as:
Then, 
, so there is a probability of 0.3504 that you conclude that the coin is fair given that the coin is biased.
