Answer:
p = 2
Step-by-step explanation:
Step 1: Write equation
-5 + -2p = -9
Step 2: Solve for <em>p</em>
<u>Simplify:</u> -5 - 2p = -9
<u>Add 5 to both sides:</u> -2p = -4
<u>Divide both sides by -2:</u> p = 2
Step 3: Check
<em>Plug in p to verify it's a solution.</em>
-5 - 2(2) = -9
-5 - 4 = -9
-9 = -9
Answer:
110, 9.1. The total weight of the salt solution is the weight of water plus the weight of salt. So he made 100+10=110 kg of salt solution.
Step-by-step explanation:
Answer:
90% confidence interval for the true mean weight of orders is between a lower limit of 103.8645 grams and an upper limit of 116.1355 grams.
Step-by-step explanation:
Confidence interval for true mean weight is given as sample mean +/- margin of error (E)
sample mean = 110 g
sample sd = 14 g
n = 16
degree of freedom = n - 1 = 16 - 1 = 15
confidence level = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
critical value (t) corresponding to 15 degrees of freedom and 10% significance level is 1.753
E = t × sample sd/√n = 1.753×14/√16 = 6.1355 g
Lower limit of sample mean = sample mean - E = 110 - 6.1355 = 103.8645 g
Upper limit of sample mean = sample mean + E = 110 + 6.1355 = 116.1355 g
90% confidence interval is (103.8645, 116.1355)
