Step-by-step explanation:
1/2x+2−1/6x=1/6x−1−1/6x
1/3x+2=−1
1/3x+2−2=−1−2
1/3x=−3
3*(1/3x)=(3)*(−3)
x=−9 <- ANSWER
Step-by-step explanation:
2x-8<12
+8<+8
2x<20

x<10
Substitute the x with 5
-(5)2 + 4(5) - 10 = 0
Answer:
The p-value is 0.0229
Step-by-step explanation:
With
we have an upper-tail alternative. Because the p-value is defined as the probability of getting a value at least as extreme as the value observed. The observed value is given by the test statistic z = 1.997 which comes from a standard normal distribution. Therefore, we compute the p-value in the following way P(Z > 1.997) = 0.0229, i.e., the p-value is 0.0229
Answer:
Area = 49π
Step-by-step explanation:
circle Area = π x (radius)²
Assuming d = 14 is the diameter (which the problem really should state explicitly, not leave you to assume), then the radius is half of that.
So r = 7, where 'r' is the radius.
Area = π x r² = π(7)² = π(49)
Area = 49π is the exact answer, so it is the one I prefer.
Area = 153.86 is the decimal you get if you multiply 49 x 3.14
Hope this helps.