The number of boxes renita and Vanessa has unpacked each is 6 and 9 boxes respectively.
<h3>Equation</h3>
- Number of boxes renita has unpacked = x
- Number of boxes Vanessa has unpacked = 2x - 3
- Total boxes both unpacked = 15
x + (2x - 3) = 15
x + 2x - 3 = 15
3x = 15 + 3
3x = 18
x = 18/3
x = 6
Therefore,
Number of boxes renita has unpacked = x
= 6 boxes
Number of boxes Vanessa has unpacked = 2x - 3
= 2(6) - 3
= 12 - 3
= 9 boxes
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4(-6x – 3) + 24x = -72x + 132
Step 1 -24x – 12 + 24x = -72x + 132 Distribute Property of Equality
Step 2: –12 = -72x + 132 equivalent
Step 3: -144 = -72x Subtraction Property of equality
Step 4: 2 = x Equivalent / Division property of equality
Answer: The explanation is correct.
Step-by-step explanation:
The interpretation of 95% confidence interval for population mean is that "A person can be 95% sure that the true population mean lies in it."
Given : The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen.
Interpretation: The admissions director can be 95% sure that the true population mean IQ score of all freshmen lies in (107.8, 116.2).
i.e. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains μ.
Hence, the explanation is absolutely "correct" .
Answer:
535572
Step-by-step explanation:
Np just for a friend
Answer:
B = 612.2 ft
Step-by-step explanation:
Solution:-
- The elevation of person, H = 235 ft
- The angle of depression, θ = 21°
- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.
- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.
tan ( θ ) = H / B
B = H / tan ( θ )
B = 235 / tan ( 21 )
B = 612.2 ft