Answer:
x = -
Step-by-step explanation:
4x - 3 = -x - 8
<=> 4x + x = -8 + 3
<=> 5x = -5
<=> x = -
Answer:
1. 50%
Step-by-step explanation:
For each day, there are only two possible outcomes. Either it does rain, or it does not, so we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

We want to find
NNN + RNN + NRN + NNR
This is

So


![P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375/tex][tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.125 + 0.375 = 0.5](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B3%2C1%7D.%280.5%29%5E%7B1%7D.%280.5%29%5E%7B2%7D%20%3D%200.375%2Ftex%5D%3C%2Fp%3E%3Cp%3E%5Btex%5DP%28X%20%5Cleq%201%29%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%201%29%20%3D%200.125%20%2B%200.375%20%3D%200.5)
The correct answer is:
1. 50%
Answer:
Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.
The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.
The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).
Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).
Simplified, this becomes tan 2θ = -336/527.
Therefore, the answer is C. -336/527.
Answer:
11/12
Step-by-step explanation:
1 2/12 = 14/12
14/12 - 2/12 - 1/12
since they all have 12, it doesn't matter until the end
14 - 2 = 12 - 1 = 11
put the /12 behind the 11 and you have an answer
It is stated that the total bill the patient would only
pay would be the $25 plus 20% of the original bill. Therefore this would mean
that:
<span>25 + 0.2 * X = 200 --->
1</span>
<span>25 + 0.2 * X = 800 --->
2</span>
Where X represents the original bill.
Calculating for X in equation 1:
25 + 0.2 * X = 200
0.2 * X = 175
X = 875
Calculating for X in equation 2:
25 + 0.2 * X = 800
0.2 * X = 775
X = 3875
Therefore the original bill ranges from $875 to $3875.
The equality equation would be:
<span>$875 ≥ X ≥ $3875</span>