for small sample size, the critical values for the t-distribution are __________ than those of the z distribution making our confidence interval wider
Fill in the blank(s) with the appropriate word(s).
higher
we want it higher because t makes the interval wider which is more conservative
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Consider the initial value problem. Find the approximations of y(0.2) and y(0.4) using Euler's method with a time step of 
Then using the exact solution given, compute the errors in the Euler approximations at 
and 
Round answers to five decimal places, do not use intermediate rounding.y'(t) = 
, y(0) = 8; y(t) = 8et/8
A. 
; 
B. 
; 
C. 
; 
D. 
; 
Find the volume. Round results to the nearest tenth if necessary.A pyramid with a height of 11 m and a rectangular base measuring 8 m by 13 m.
A. 39,658.7 m3 B. 381.3 m3 C. 1144 m3 D. 1197.4 m3
Use trigonometric identities to find the exact value.sin 20° cos 40° + cos 20° sin 40°
A. 
B. 
C. 
D. 
Write the exponential equation as an equation involving a common logarithm or a natural logarithm.ex = 23
A. ln 23 = x B. log23 x = e C. logx e = 23 D. ln x = 23