Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.
Answer: (9)/(15)
Step-by-step explanation:
Using the binomial distribution, it is found that the number of students that would be expected to select a gold-wrapped candy from the bag is given by:
The candies are chosen with replacement, which means that for each student, the probability of choosing a gold wrapped candy is independent of any other student, hence the binomial distribution is used.
<h3>What is the binomial distribution?</h3>
- The <em>binomial distribution</em> is the <u>probability of exactly x successes on n repeated trials, with p probability of a success on each trial</u>.
The expected value of the binomial distribution is:
In this problem:
- There are 15 students, hence .
- Of a totlal of 5 + 1 + 2 + 4 = 12 candies, 4 are gold wrapped, hence
Then, the <em>expected value</em> is:
Hence, option B is correct.
To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377
Calculate the slope using the slope formula
m = (y2-y1)/(x2-x1)
m = (5-(-1))/(-6-(-8))
m = (5+1)/(-6+8)
m = 6/2
m = 3
The slope is 3
The point your teacher uses is (-6,5) because of the y-5. Note how it's in the form y-y1 where y1 = 5
So (x1,y1) = (-6,5)
Point Slope Form
y-y1 = m(x-x1)
y-5 = 3(x-(-6))
y-5 = 3(x+6)
The equation in point slope form is
y-5 = 3(x+6)
So you'll type 3(x+6) into the box