Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $72. At another store she can
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Answer: (a) Percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.
(b) Percentage of 25 year old men in the 6 footer club that are above 6 feet 5 inches are 2.4%.
Step-by-step explanation:
Given that,
Height (in inches) of a 25 year old man is a normal random variable with mean and variance
.
To find: (a) What percentage of 25 year old men are 6 feet, 2 inches tall
(b) What percentage of 25 year old men in the 6 footer club are over 6 feet. 5 inches.
Now,
(a) To calculate the percentage of men, we have to calculate the probability
P[Height of a 25 year old man is over 6 feet 2 inches]= P[X>]
P[X>74] = P[ >
]
= P[Z > 1.2]
= 1 - P[Z ≤ 1.2]
= 1 - Ф (1.2)
= 1 - 0.8849
= 0.1151
Thus, percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.
(b) P[Height of 25 year old man is above 6 feet 5 inches gives that he is above 6 feet] = P[X,
- X,
]
P[X >
I X >
] = P[X > 77 I X > 72]
=
=
=
=
=
=
= 0.024
Thus, Percentage of 25 year old men in the 6 footer club that are above 6 feet 5 inches are 2.4%.
Answer:
The total they paid was $58.8685
Step-by-step explanation:
Let us solve the question using the percentage method
∵ Sergio went to dinner with his brother
∵ The bill was $51.19
∵ They left a 15% tip
→ That means they pay extra money 15% of $51.19
∴ The total they paid = the bill + 15% of the bill
∵ 15% of the bill = 15% × 51.19
→ Change 15% to a decimal by divide it by 100
∴ 15% of the bill = × 51.19
∴ 15% of the bill = 0.15 × 51.19
∴ 15% of the bill = $7.6785
→ Substitute it in the total they paid
∵ The total they paid = 51.19 + 7.6785
∴ The total they paid = $58.8685
∴ The total they paid was $58.8685