Let x represent the shorter sides, then 2x + 1 would represent the longer sides. There are four short sides and two long sides. The perimeter is 162 cm. The equation: 4x + 2(2x + 1) = 162 4x + 8x + 2 = 162 8x + 2 = 162 Subtract 2 from both sides. 8x = 160 Divide both sides by 8. x = 20 The shorter sides are 20 cm in length. The longer sides are 2x + 1, or 41 cm in length. Check: 4 * 20 + 2 * 41 = 162 80 + 82 = 162 162 = 162, values check.
Volume = length * width * depth
width = Volume / (length * depth)
width = 7.35 / (4.2 * .5)
width = 3.5 meters
Double Check
Volume = 4.2 *.5 *3.5 =
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7.35
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cubic meters correct !!
D. 150 degrees is ur answer
Answer:
1/660th of a mile per second
Step-by-step explanation:
There are 5280 feet in a mile, and he is going 8 feet per second. You do 5280/8 and you get that he goes 1/660th of a mile every second.
Answer:
Part A: yes
Part B: 50%
Step-by-step explanation:
There are two ways we can use a normal approximation for a sample: if the population it is from is normally distributed, or if the sample is sufficiently large (n > 30). In this case, we don't know if the population is normally distributed, but we do know the sample size is larger than 30, so we can use normal approximation.
The sample proportion is normally distributed, with a mean equal to the mean of the population. So there is a 50% chance that sample proportion is less than the population proportion.
