Answer:
<h2>277 degrees clockwise.</h2>
Step-by-step explanation:
This rotation could be express with its opposite. Just remember that a complete rotation is 360 degrees, so, if it's rotating 83° counter-clockwise, it'll be the same rotation if we say 277° clockwise, because that's the difference from the total 360°.
Answer:
-1.5
Step-by-step explanation:
4x² + 4x - 3 = 0
(2x + 3)(2x - 1) = 0
2x + 3 = 0 or 2x - 1 = 0
x = -3/2 or x = 1/2
Answer: -1.5
Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:


Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:


Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:

More can be learned about the binomial distribution at brainly.com/question/24863377
#SPJ1
For this case, the first thing you should know is:
d: v * t
Where,
d: distance
v: speed
t: time
To go to school by bus we have:
d = 45 * t
To return from school we have:
d = 2.5 * (1-t)
how the distance is the same:45 * t = 2.5 * (1-t)
Answer:
the equation that will help find the time it takes chelsea to get to school on the bus is:
45 * t = 2.5 * (1-t)
Note: the equation will have one solution.
To do this, simply add the 2 functions-as it says:
(2x+1) + (-3x+4)
2x+1-3x-4
-x-3
Your answer is -x-3