Answer:
Smaller number: 12
Larger number: 34
Step-by-step explanation:
Let x represent the smaller number.
Let 3x - 2 represent the larger number (The larger number is two less than three times the smaller number, or x)
x + 3x -2 = 46
Add 3x + x:
4x - 2 = 46
Add 2 to both sides:
4x = 46 + 2
Add 46 + 2:
4x = 48
Divide both sides by 4:
4x/4 = 48/4
x = 12 is the smaller number
Since 12 is the smaller number, and the sum of the two numbers is 46, than the larger number must be 34.
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Answer: 99 square inches
Step-by-step explanation:
i believe you add it all together
Answer:
- 83 1/3 ft wide
- 171 2/3 ft long
Step-by-step explanation:
Let w represent the width of the area. Then 2w+5 represents the length. The perimeter is twice the sum of length and width:
P = 2(L+W)
510 = 2(2w+5 +w) . . substitute given values
255 = 3w +5 . . . . . . divide by 2
250 = 3w . . . . . . . . . subtract 5
83 1/3 = w . . . . . . . . .divide by 3; the width of the area
2w+5 = 171 2/3 . . . . the length of the area
The fenced area is 83 1/3 ft wide and 171 2/3 ft long.
Answer:
0.03593
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 17,340
μ is the population mean = 15,000
σ is the population standard deviation = 1300
z score:
z = 17340 - 15000/1300
z =1.8
Probability value from Z-Table:
P(x<17340) = 0.96407
P(x >17340) = 1 - P(x<17340)
= 1 - 0.96407
= 0.03593
The probability that the life span of the monitor will be more than 17,340 hours is 0.03593
