Find the number that makes the equation true. Choose the correct answer.
I. 13+?=42+19
A. 23 B. 48 C. 38 D. 42
II. 52+24=?+38
A. 38 B. 42 C. 48 D. 25
III. ?+32=76
A. 44 B. 26 C. 44 D. 39
IV. 44+47=?
A. 87 B. 91 C. 88 D. 95
V. 23+18=4+?
A. 42 B. 39 C. 30 D. 37
VI. 99=?+81
A. 30 B. 14 C. 22 D. 18
Find the area under the standard normal curve from 0 to −2.36, the probability a normal random variable falls between 0 and −2.36. Round to 4 decimal places.
Find the original principal for an account earning 2.4% interest compounded continuously, where the account earns 806.07ininterestover4years.UsethemodelA=P e^{r t}andsubstituteP+806.07forA$ to find the original principal, rounded to the nearest dollar.
Test whether garlic treatment reduces mean LDL cholesterol level. Null: μ≤0, Alt: μ>0. Test statistic: t=0.30/(24.2/49)=0.061. P-value: 0.476. The results suggest that garlic treatment is not effective in reducing mean LDL cholesterol level.
Estimate mean IQ of statistics students with 90% confidence and 4 IQ points precision. Given μ=100, σ=13, find the required sample size. The required sample size is n=⌈42(1.645⋅13)2⌉=68. Would it be reasonable to sample this number of students? Yes. This number of IQ test scores is a fairly small number.
Annie charges 75plus35 per hour for tutoring. The linear equation is y=75+35x. The independent variable is the time Annie tutors, and the dependent variable is the amount she earns. The y-intercept is 75,andtheslopeis35.
Find the closest vector x in the subspace W spanned by v1 and v2 to the given vector y, where y=⎣⎡1−1119⎦⎤, v1=⎣⎡1−1−11⎦⎤, and v2=⎣⎡−1102⎦⎤.
Apportion 150 new electric vehicles to 3 university campuses based on student enrollment. Find the standard divisor, SD, rounded to the nearest thousandth, given the student enrollment and FTE for each campus.
Determine scholarship allocation among 340 English, 292 Psychology, and 401 Graphic Design majors using the Jefferson method. Simplified problem statement: Allocate 18 scholarships among 340 English, 292 Psychology, and 401 Graphic Design majors using the Jefferson method.
Rewrite the table of worldwide box office (in billions $) for the movie industry into ordered pairs (year, box office). {(1999,24.6),(2001,25.9),(2003,28.2),(2005,29.8),(2007,31.5)}