Answer:
1331:216
Step-by-step explanation:
Given the ratio of the lengths of two similar solids as a:b
The ratio of the surface areas = 
The ratio of the volume = 
We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36
Therefore:
Since the ratio of the lengths is 11:6
The ratio of their volumes = 
=1331:216
The ratio of the volume of the two similar geometrical solids is 1331:126.
Answer:
(a) 0.76
(b) 0.46
(c) 0.58
Step-by-step explanation:
Let's first list the probabilities of each event:
Buyers using online search engine: 0.65
Buyers skipping test drive = 0.11
Buyers that use search engines AND skip test drives = 0.65 * 0.11 = 0.07
(a) To find this probability, we simply need to add the probabilities of the above conditions that meet the criteria of the question. Since all of the above conditions meet the criteria set by the question, we have:
Probability = 0.65 + 0.11
Probability = 0.76
(b) The probability of buyers that do not use search engines = 1 - 0.65 = 0.35
Probability of buyers that do not use search engines OR do skip the test drive = 0.35 + 0.11 = 0.46
(c) Probability of buyers buyers that do not skip test drive = 1 - 0.11 = 0.89
Probability of buyers using online search engine AND not skipping the test drive = 0.65 * 0.89 = 0.58
(It must be noted that question c is phrased wrong. Since both events are independent, i.e buying a car OR skipping the test drive would mean 0.65 + 0.89 = 1.54 (not possible) )
Answer:
2 - x^2
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
no
Answer:
large triangle:
base = 6.64 cm
hypotenuse = 8.31 cm
small triangle:
base = 4 cm
Step-by-step explanation:
large triangle:
tan 37 = 5/base
0.7536 = 5/base
base = 6.64 cm
using the Pythagorean theorem:
hypotenuse² = 5² + 6.64²
hypotenuse² = 25 = 44.02 = 69.02
hypotenuse = 8.31 cm
small triangle:
using the Pythagorean theorem:
base² = 5² - 3²
base² = 25 - 9 = 16
base = 4 cm
