Solution is where the lines intersect. It's is (-2 , 1)
Answer is B.(-2,1)
9514 1404 393
Answer:
yes
Step-by-step explanation:
If GH║FE, then ∆DEF ~ ∆DHG.
In similar triangles, corresponding sides have the same ratios.
The ratios of corresponding sides are ...
DG/DF = DH/DE
DG/(DG + GF) = 18/(18+36)
(1/2GF)/((1/2GF +GF) = 1/3
(1/2)/(3/2) = 1/3
1/3 = 1/3
Corresponding sides are proportional. Angle D is congruent to itself, so ∆DEF ~ ∆DHG by the SAS similarity postulate. Angles DGH and DFE are therefore congruent and GH║FE.
Answer:
95% Confidence interval for y
= (-9.804, -5.979)
Lower limit = -9.804
Upper limit = -5.979
Step-by-step explanation:
^y= 2.097x - 0.552
x = -3.5
Standard error = 0.976
Mathematically,
Confidence Interval = (Mean) ± (Margin of error)
Mean = 2.097x - 0.552 = (2.097×-3.5) - 0.552 = - 7.8915
(note that x=-3.5)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value for 95% confidence interval = 1.960
Standard Error of the mean = 0.976
95% Confidence Interval = (Mean) ± [(Critical value) × (standard Error of the mean)]
CI = -7.8915 ± (1.960 × 0.976)
CI = -7.8915 ± 1.91296
95% CI = (-9.80446, -5.97854)
95% Confidence interval for y
= (-9.804, -5.979)
Hope this Helps!!!
Answer:
Step-by-step explanation:
-7/5=-1.400
-1 5/11=-16/11=-1.455...
-1.450
-1 91/200=-291/200=-1.405
-1.455 <-1.450 <-1.405 <-1.400
- 1 5/11 <-1.45 <- 91/200 <-7/5
