It's crucial to recognize that all necessary information is already presented in the question
The likelihood of a day being hot equals 0.15 + 0.10
= 0.25
The likelihood of a day being sunny amounts to 0.15 + 0.30 + 0.10
= 0.55
Combining the two probabilities, we find = 0.25 + 0.55
= 0.80
Now
The probability of a day being both hot and sunny is 0.15
Thus
The probability of a day being either hot or sunny = 0.80 - 0.15
= 0.65
I trust this explanation is clear enough for your understanding.
The formula for the box's volume is V = (length)(width)(height). If we denote the side length of the cutouts as x, we establish V = (28 - 2x)(22 - 2x)(x). Explanation: We intend to excise x by x squares from each corner of a 28 by 22-inch poster board, leading to bottom dimensions of 28 - 2x and 22 - 2x, with a height of x. This expression can be left as is or multiplied and simplified if desired. If we select x = 2 (a random choice as you did not specify), the box's volume calculates to V = (28 - 2*2)(22 - 2*2)(2), rendering V = (24)(18)(2) cubic inches. Since x measures length, it must be greater than zero. Furthermore, the base width of the box can't fall below zero, establishing the inequality for x: 22 - 2x > 0, meaning 11 - x > 0, or x < 11. If we check with x = 10, then V = (28 - 20)(22 - 20)(10). Is this greater than zero? YES. Thus, x < 11 is indeed a reasonable domain in this context.
Assuming a maximum rental duration of 8 days, if we apply this to the equation, Happy Harry's Rentals costs $500, while Smilin' Sam's charges $600. Therefore, for the 7th and 8th days, Happy Harry's Rentals is a better option, while Smilin' Sam's is preferable for the first six days.
Question 1
Total budget sums up to 180 + 475 + 15 + 50 + 65 + 25 + 150 + 30 = $990.
Actual expenditure amounts to 182 + 475 + 12 + 65 + 68 + 12.50 + 150 + 36 = $1000.5.
Mae Green surpassed her designated budget.
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Question 2
Eleanor:
Earned = 380.48
Spent = 16.50
Peter:
Earned = 120 + 13.65 + 100 = 233.65.
Combined total income = 233.65 + 380.48 - 16.50 = 597.63.
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Question 3
Aggregate expenditure = 540 + 48.55 + 34.15 + 12.80 + 18.95 + 38.60 + 2 + 6.50 = 701.55.
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Question 4
Marie's updated balance = 250.65 - [21.95+48.50+75.60] + 55 = $159.50.
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Question 5
[235/825] × 100 = 28.48%
Answer:
In total, Henry requires 15 pints of paint.
Step-by-step explanation:
Henry starts with 2 pints of red and 3 pints of yellow to achieve a certain color, but he has already used 9 pints of yellow paint. Thus, this is represented by:
3 x 3 = 9 (yellow)
Since whatever is done on one side must also be applied to the other, we calculate the red paint:
2 x 3 = 6 (red)
Now we consolidate the amounts:
9 + 6 = 15. (Total red and yellow paint)
This leads to the conclusion that 15 pints are needed.
