Answer:
x = 6
Step-by-step explanation:
-(x - 8) = 2
multiply the negative
-x + 8 = 2
subtract 8 from both sides
-x = -6
x = 6
Answer:
146
Step-by-step explanation:
Since John works for 9 hours and makes 14 an hour. You multiply 14 by 9 which equals 126. You add 20 from the tips to 126. This makes 146.
The solution is x> 4 or x ∈(4,∞)
Here equality given is
x - 1.2> 2.8
Rearrange the variable to the left side of the equation
x > 2.8 + 1.2
Calculate the sum
x > 4
Or we can also say
x ∈ (4,∞)
Therefore the range of x is x∈ (4,∞).
To know more about the range of the solution refer to the link given below:
brainly.com/question/2264373
#SPJ1
Answer:
Step-by-step explanation:
197.292
Let x be the number of defective cell phones. It is given that in batch of 100, on average 5 are defective.
let p be the probability of defective cell phone.
p = 5/100 = 0.05
Let n be size of random sample, n=30
Here out of 30 we want to find probability that 2 will be defective. It means 30-2 =28 cell phones will be non defective.
The probability of getting non defective cell phone is 1- p=1-0.05 =0.95
The probabability of getting 2 defective is
P(X=2) = number of ways selecting 2 from 30 * probability 2 defective * probability of 28 non defective
Now number of ways of selecting 2 cell phone from 30 is
30C2 = ![\frac{30!}{(30-2)! 2!}](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%21%7D%7B%2830-2%29%21%202%21%7D%20%20)
= ![\frac{30!}{28! 2!}](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%21%7D%7B28%21%202%21%7D%20%20)
= ![\frac{30 *29* 28!}{28! 2!}](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%20%2A29%2A%2028%21%7D%7B28%21%202%21%7D%20%20)
= (30*29) /2
30C2 = 435
P(X=2) = 30C2 * (0.05)^2 * (0.95)^28
= 435 * 0.0025 * 0.2378
P(X=2) = 0.2586
Probability of getting 2 defective out of 30 is 0.2586