Answer:
(b) (a) (d) (a) (c)
Step-by-step explanation:
(i) The probability of an even card is 1/2 because the number of even cards and odd cards are the same so there is a 50% of getting an even card. (b)
(ii) Since the card is replaced, there is still a card for all numbers between 1-20. There are 8 prime numbers and 20 cards so the probability of getting a prime number is 8/20 or 4/10 or 2/5. (a)
(iii) The card was not replaced so there are only 19 cards and there are only 5 numbers that are multiples of 3 and greater than 4. The probability must be 5/19. (d)
(iv) A sure event means that it will happen 100%. So P(A) = 1 since the number one represents 100%. (a)
(v) All cards have replaced and there is only one number that is a multiple of 3 and 5 which is 15. 1 card out of 20 is a desired outcome so 1/20 is the probability. (c)
Answer:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Answer:
0.940
Step-by-step explanation:
Given the data:
Age in years(X) _____Height(Y)
7 _________ 47.3
8 _________48.8
5 __________41.3
8 _________ 50.4
8 ___________51
7 __________47.1
7 __________46.9
7 ___________48
9 __________51.2
8 __________51.2
5 __________40.3
8 __________48.9
6 __________45.2
5 __________41.9
8 __________49.6
The proportion of Variation explained by the line of best fit in a regression model can be determined by calculating the Coefficient of determination (R²) of the model.
Using the online R² calculator, the variation in the sample values of height which is estimated by the model is 0.9696² = 0.94012416.
Hence about 0.94 or 94% variation in sample values of height is estimated by the model while (1 - 0.94 = 0.06 or 6%) is explained by other factors.
p is the number of pants
25 is $25 for the pants
18 is $18 for the pants
4 represents that you bought 4 more shirts than pants
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