We are given the function <span>–2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:
-2x + 5x =8+4
Then, do the necessary operations.
3x = 12
x = 4.
The variable x has a value of 4.</span>
Answer:
z = 10
Step-by-step explanation:
The value of the z-statistic is given by:

In which:
X is the measured value.
is the expected value.
is the standard deviation of the sample.
is the standard deviation of the population.
In this question:
The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.
This means that 
Random sample of 100 screws.
This means that n = 100.
To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?
3 inches, so 




there are 6 sides to a hexagon
360/6 = 60 degrees
so it will map onto itself at 60, 120, 180, 240, 300 & 360
there are 6 different angles
Answer: Center: (0, 2) Radius: 2
I hope this helps! :)
When looking at probabilities, two ideas are always true.
1) Any probability is more than 0.
2) The sum of all the probabilites is 1.
Idea #2 works here. (For example, think of how a die has six things and the probability of each is 1/6. So 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1.) Let G = the probability of grape, C = probability of cherry and O = the probability of orange. From Idea #2, G + C + O = 1. Since we know G and C, then
3/10 + 1/5 + O = 1.
3/10 + 2/10 + O = 1
5/10 + O = 1
O = 5/10
Thus, the probability of an orange jelly bean is 5/10 = 1/2.