35 + 52 + 3(x + 2) = 180
87 + 3x + 6 = 180 ( add the like terms and use distributive property)
93 + 3x = 180
-93 -93
3x = 87
÷3 ÷3
x = 29
( the sum of all triangle angles is 180)
Answer:
75 small triangles
Step-by-step explanation:
1. Reduce the ratio: 2-6 = 1-3
2. Write each of them as a fraction of a whole:
Small total = 3/(1+3) = 3/4 of the total amount
3. Multiply the ratio to get the answer: 3/4 * 100 = 75
Answer:
plug in 0 for y and solve for x
to find y plug in 0 for x
Step-by-step explanation:
Answer:
The probability that none of the LED light bulbs are defective is 0.7374.
Step-by-step explanation:
The complete question is:
What is the probability that none of the LED light bulbs are defective?
Solution:
Let the random variable <em>X</em> represent the number of defective LED light bulbs.
The probability of a LED light bulb being defective is, P (X) = <em>p</em> = 0.03.
A random sample of <em>n</em> = 10 LED light bulbs is selected.
The event of a specific LED light bulb being defective is independent of the other bulbs.
The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p</em> = 0.03.
The probability mass function of <em>X</em> is:

Compute the probability that none of the LED light bulbs are defective as follows:


Thus, the probability that none of the LED light bulbs are defective is 0.7374.
Y +6 =(1/2)(x+4)
y +6 = 1/2 x +2
y=1/2 x - 4
or 1/2 x -y = 4