Answer:
When we divide by a negative value, the sign for the inequality changes.
Step-by-step explanation:
2x < -8, to solve we would divide by 2 and receive x < -4. However, in solving -2x < 8, we would divide by negative 2, which would result in x > -4. Clearly, these sequences provide opposite answers and that is a rule to inequalities, that when dividing by a negative number, we must flip the less than/greater than sign.
Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .
1. To calculate the mean, we first total the number of hours: The 20 students' total number of study hours
is 118.5 hours.
2. We divide by the number of samples to find the mean: <span>The sample mean is 5.93.</span>
3. Next, we find the SD: <span>Calculate the standard deviation.</span>
4. Then we divide SD by the number of samples to get the standard error: the standard error of the mean of the sample is 0.45.
5. Since for a 95% CI, the corresponding z-score is 1.96 ~ 2, we use the formula for CI: mean +/- z*SE, which is: The range in which 95% of the sample
mean occurs is 5.93 + 2 × 0.45 = 6.83 hours and 5.93 − 2 × 0.45 = 5.03
hours.
6. Finally: The range in which
95% of the sample mean occurs is (5.03, 6.83).
Let the length of side AB be $x$, then

Therefore, the perimeter of ABCDE is 2(12) + 2(4) + 6 = 24 + 8 + 6 = 38 in.
Answer:
217/60 miles
Step-by-step explanation: