Imagedownloading music. a husband and wife, stan and lucretia, share a digital music player that has a feature that randomly selects which song to play. a total of 2643 songs have been loaded into the player, some by stan and the rest by lucretia. they are interested in determining whether they have loaded different proportions of songs into the player. suppose that when the player was in the random-selection mode, 27 of the first 40 songs selected were songs loaded by lucretia. let p denote the proportion of songs that were loaded by lucretia. state the null and alternative hypotheses to be tested. how strong is the evidence that stan and lucretia have loaded different proportions of songs into the player? make sure to check the conditions for the use of this test. are the conditions for the use of the large-sample confidence interval met? if so, estimate with 95% confidence the proportion of songs that were loaded by lucretia.

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

answer are

step-by-step explanation:

80% of the cookies

step-by-step explanation:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )