Seat belt usage affects deaths. For every 1% increase in usage, deaths decrease by 280. Find the slope b and predict deaths if (i) 0%, (ii) 74%, (iii) 100% wear seat belts, given y-intercept is 28,910. a. The slope is b=−280.
Find the number of downloads of a song with standard version size x MB, given that there were 920 total downloads with a total download size of 3412 MB.
A computer chip company shipped 5000 chips, 40 of which are defective. Find: (a) Probability two randomly selected chips are defective, and (b) Provide context for the probability of 0.00006241. (a) Probability two randomly selected chips are defective: 5,00040⋅4,99939=0.00006241 (b) The probability of 0.00006241 represents the likelihood that two randomly selected chips from the 5000 shipped are both defective.
Given a Venn diagram with 4 regions, find the number of elements in regions I, III, and IV given n(A)=16, n(B)=33, n(U)=54, and region II has 8 elements. Region I has n(A)−n(A∩B) element(s).
Region III has n(B)−n(A∩B) element(s).
Region IV has n(U)−n(A)−n(B)+n(A∩B) element(s).
Determine if the given sequences are arithmetic or geometric, and explain how you know. 1,3,9,27,81,… is a geometric sequence with a common ratio of 3.
5,3,1,−1,… is an arithmetic sequence with a common difference of -2.
256,64,16,4,1,0.25,… is a geometric sequence with a common ratio of 0.25.
Determine the order of five swimmers racing in the ocean based on the given information. The best strategy is to draw a diagram. Amy<Louie<AmyDan<MaxLovie>MaxCindy<Dan
Given a stem-and-leaf plot, find the mean, median, mode, and sample size of the distribution. 300.6,231.5,135.0,10 or 271,217,272,5 or 32,32,35,10 or 18.2,20,20,5.
Claim that the standard deviation of adult male pulse rates is less than 10 beats/min. For a sample of 138 males, the standard deviation is 8.5 beats/min. Find the test statistic.
1. Formulate and rearrange formulas:
a) A rectangle has a perimeter of 28cm. Express its area in terms of a side length x.
b) For a rectangle, one side x is twice the other side y. Express the area in terms of x.
c) For a cube, express the volume V in terms of the total edge length K, and vice versa.
d) For a cube, express the volume V in terms of the surface area O, and vice versa.
e) For a cuboid with sides a,b,c where a=2b and b=2c, provide a formula for the volume in terms of each variable.