Given:
AB is the diameter of a circle.
m∠CAB = 26°
To find:
The measure of m∠CBA.
Solution:
Angle formed in the diameter of a circle is always 90°.
⇒ m∠ACB = 90°
In triangle ACB,
Sum of the angles in the triangle = 180°
m∠CAB + m∠ACB + m∠CBA = 180°
26° + 90° + m∠CBA = 180°
116° + m∠CBA = 180°
Subtract 116° from both sides.
116° + m∠CBA - 116° = 180° - 116°
m∠CBA = 64°
The measure of m∠CBA is 64°.
Answer:x^2 + 9x + 20
Step-by-step explanation:
You could just multiply (x+4)(x+5) and get x^2 + 9x + 20, but judging from the picture, it looks like they want you to split it into 4 rectangles
x^2 +4x+ 5x + 20 =x^2 +9x + 20, just like (x+4)(x+5)
Answer:
y = 0.6x
Step-by-step explanation:
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step 1: Find slope <em>m</em>
m = (1.2 - 0)/(2 - 0)
m = 1.2/2
m = 0.6
y = 0.6x
Step 2: Find y-intercept <em>b</em>
(0, 0) is y-int
Equation is y = 0.6x
Step 3: Graph
Use point (-5, -3) and (0, 0) to graph
7 of them fish I’m not going to lye I just wanted to put 7 but I have to have at least 20 characters
Answer:
P(A∣D) = 0.667
Step-by-step explanation:
We are given;
P(A) = 3P(B)
P(D|A) = 0.03
P(D|B) = 0.045
Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.
Using Bayes' Rule and Law of Total Probability, we will get;
P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]
Plugging in the relevant values, we have;
P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]
P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]
P(B) will cancel out to give;
P(A∣D) = 0.09/0.135
P(A∣D) = 0.667
