Answer:
Step-by-step explanation:
Alright so just like the other problem we have to use ratios to find if it is parallels or not. In order for AC and DE to be parallels the sides CE and AD and DB and EB have to have the same ration. So in answer c if you do 24/22.5 you would get 1.066666667. So then to find the length of EB we subtract 24 from 40 to get 16 and then we do 16/15 to find out if the ratios are the same. And indeed they are the same both equaling 1.066666667. If you were to divide CE/AD and DB/EB none of the answers would be the same leading to c being the correct answer
It is A: Exponential Growth!
Answer:
A sphere
Step-by-step explanation:
A sphere is a round three dimensional object with no sharp corners or vertexes. Since a basketball fits this criteria, it is a sphere.
Step-by-step explanation:
RS + ST = 8
(RS + ST)×RS = (4 + 2)×4
8 × RS = (4 + 2) × 4 = 6 × 4 = 24
RS = 24/8 = 3
RS + ST = 8
3 + ST = 8
ST = 5
Answer:
The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level
Step-by-step explanation:
We formulate null and alternate hypotheses are
H0 : u1 < u2 against Ha: u1 ≥ u 2
Where u1 is the group tested after they were awake for 24 hours.
The Significance level alpha is chosen to be ∝ = 0.05
The critical region t ≥ t (0.05, 13) = 1.77
Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13
Here the difference between the sample means is x`1- x`2= 35-24= 11
The pooled estimate for the common variance σ² is
Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]
= 1/13 [ 120²+360²]
Sp = 105.25
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= 11/ 105.25 √1/5+ 1/10
t= 11/57.65
t= 0.1908
The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level
