Answer:
The roots of the equation are x = 
and x = 
and there are no real roots of the equation given above
Step-by-step explanation:
To solve:
5x² − 3x + 17 = 9
or
⇒ 5x² − 3x + 17 - 9 = 0
or
⇒ 5x² − 3x + 8 = 0
Now,
the roots of the equation in the form ax² + bx + c = 0 is given as:
x = 
in the above given equation
a = 5
b = -3
c = 8
therefore,
x = 
or
x = 
or
x = 
and x = 
or
x = and x =
here i = √(-1)
Hence,
The roots of the equation are x = and x =
and there are no real roots of the equation given above
You will notice that 48°, x, and x lie upon a straight line. The sum of those angles must then be equal to 180°. Which means:
48+x+x=180
48+2x=180
2x=132
x=66°
Using a discrete probability distribution, it is found that:
a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
c) The expected value is of 1.3 lawns mowed on a randomly selected day.
<h3>What is the discrete probability distribution?</h3>
Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:
Item a:
P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
Item b:
There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
Item c:
The expected value of a discrete distribution is given by the <u>sum of each value multiplied by it's respective probability</u>, hence:
E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.
The expected value is of 1.3 lawns mowed on a randomly selected day.
More can be learned about discrete probability distributions at brainly.com/question/24855677
Answer:
x=8.06
Step-by-step explanation:
find you half base and use PYTHAGORAS THEOREM to find the opposite side (x)
First find the square root of 900 to get one side of the square, which is 30 inches.
Formula for area of a circle: pi times the radius(squared)
The radius is 15 because one side of the square equals the diameter of the circle. 15 squared is 225.
3.14x225=<u>706.5 inches squared
</u>I hope this helps, because I did not have a diagram of the problem, but this should be the answer if the circle is inscribed in the square.<u>
</u>
