Answer:
Step-by-step explanation:
6g + 4a = 7a
⇔ 6g = 7a - 4a
⇔ 6g = 3a
Divide both side by 6a
⇒
⇔ 
I hope this will help you.
4. 1st option
5. 2nd option
Answer:
x = 48
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
156° is an exterior angle of the triangle, then
108 + x = 156 ( subtract 108 from both sides )
x = 48
If we call y the height of the plane, we know when the time (x) is 0, the height is 30000. So let's write that in:
y = 30000 + (0)
Then, for every increase of a minute (x increases by 1), the height reduces by 2000. This can be written as:
y = 30000 - 2000x
Using what we know about y = mx+c equations, the slope of the line is -2000, and the y-intercept is (0, 30000).
Correct question:
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 131 millimeters, and a standard deviation of 7 millimeters. If a random sample of 31" steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 1.9 millimeters? Round your answer to four decimal places.
Answer:
0.1310
Step-by-step explanation:
Given:
Sample size, n = 31
mean, u = 131
X - u = 1.9
If a random sample of 31 steel bolts is selected, the probability that the sample mean would differ from the population mean by more than 1.9 millimeter, would be determined by:
Z = 1.51
Probability =
P(|Z| > 1.51) =
P(Z < -1.51) + P(Z > 1.51)
= P(Z < -1.51) + 1 - P(Z > 1.51)
Using the standard normal table:
= NORMDIST(-1.51) = 0.0655;
NORMDIST(1.51) = 0.9345
Thus,
P = 0.0655 + 1 - 0.9345
= 0.1310