Answer: we need you to show us the graph in order to help you.
Answer:
x < - 5/9
Step-by-step explanation:
5(x-3)-6(x-2)>8x+2
5x-15-6x+12>8x+2
-x3>8x+2
-x-8x>2+3
-9x>5
x<-5/9
Answer: City needs 2.4 inches of rainfall more to match the record of 40 inches.
Step-by-step explanation:
Since we have given that
Total annual rainfall a city record = 40 inches
This year, total rainfall recorded = 37.6 inches
Number of inches of rainfall is needed to match the record of 40 inches is given by
Hence, City needs 2.4 inches of rainfall more to match the record of 40 inches.
Since the sample size is less than 30, therefore we use
the t statistic.
Let us define the given variables:
N = sample size = 25
X = average score = 76
s = standard deviation = 12
99% Confidence interval
Degrees of freedom = n – 1 = 24
The formula for confidence interval is given as:
CI = X ± t * s / sqrt N
using the standard distribution table, the t value for DF
= 24 and 99% CI is:
t = 2.492
Therefore calculating the CI using the known values:
CI = 76 ± 2.492 * 12 / sqrt 25
CI = 76 ± 5.98
CI = 70.02, 81.98
Answer: The average score ranges from 70 to 82.
