Nancy needs at least 100010001000 gigabytes of storage to take pictures and videos on her upcoming vacation. She checks and finds that she has 105\,\text{GB}105GB105, start text, G, B, end text available on her phone. She plans on buying additional memory cards to get the rest of the storage she needs. The cheapest memory cards she can find each hold 256\,\text{GB}256GB256, start text, G, B, end text and cost \$10$10dollar sign, 10. She wants to spend as little money as possible and still get the storage she needs.
Let CCC represent the number of memory cards that Nancy buys.
1) Which inequality describes this scenario?
Choose 1
Choose 1

(Choice A)
A
105+10C \leq 1000105+10C≤1000105, plus, 10, C, is less than or equal to, 1000

(Choice B)
B
105+10C \geq 1000105+10C≥1000105, plus, 10, C, is greater than or equal to, 1000

(Choice C)
C
105+256C \leq 1000105+256C≤1000105, plus, 256, C, is less than or equal to, 1000

(Choice D)
D
105+256C \geq 1000105+256C≥1000

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)