Answer: I (5 + 2/3) oz - xI ≤ 2/5 oz.
Step-by-step explanation:
If we have a mean M, and a measurement error e, then the absolute value inequality that represents the possible values of x, the variable, is:
IM - xI ≤ e
This means that x can be, at maximum, at a "distance" e from M.
In this case, we know that the mean weight is (5 + 2/3) oz, and the error is +- 2/5 oz, then the absolute value inequality that represents this situation is:
I (5 + 2/3) oz - xI ≤ 2/5 oz.
Answer:
110°
Step-by-step explanation:
Parallelograms have angles equal to the angle opposite to it, in this case the 110°
If the proportion of iris to roses in Nikki's garden is 2: 5, it means that for 25 roses: (2/5) = (10/25). Therefore to maintain the proportion by adding 20 roses: (2/5) = (18/45). The number of irises after the addition of roses will be 10 + 18 = 28 irises.
Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²
± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
