The margin of error of the random selection is 0.29
The given parameters are:
--- the sample size
--- the standard deviation
--- the mean
--- the confidence level.
The margin of error (E) is calculated as follows:
So, we have:
The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z
Take square roots
Multiply
Approximate
Hence, the margin of error is 0.29
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9514 1404 393
Answer:
- -51
- -30
- -60
- 2 or -2
Step-by-step explanation:
The function puts a minus sign on 3 times the magnitude of the input.
1. y = -|3×17| = -51
2. y = -|3×10| = -30
3. y = -|3×20| = -60
4. -6 = -|3x|
2 = |x| . . . . divide by -3
x = ±2 . . . . two possibilities
Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given that the following details about the YMCA lap pool:
- The volume of the pool = 1472m³
- The length of the pool = 36.8m
- The width of the pool = 20 m
Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,
The volume of the pool = Length × width × depth
1472m³ = 36.8m × 20 m × depth of the pool
Depth of the pool = (1472m³ ) / (36.8m × 20m)
= 2 meter
Hence, the depth of the YMCA lap pool is 2 meters.
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5x+9 = 10x-9
Take 5x from both sides
9 = 5x-9
Add 9 to both sides
18 = 5x
Divide by 5
3.6=x
Answer:
<u><em>37 decreased by 20% is </em></u><u><em>29.6.</em></u>
Step-by-step explanation:
<u><em>To do this, what we do is simply </em></u><u><em>take 20% of 37 and subtract it from 37.</em></u>
<u><em>20% of 37.</em></u><u><em> A trick to easily figure this out is </em></u><u><em>multipling 37 by 20 and dividing by 100.</em></u>
<u><em>37*20 = 740</em></u>
<u><em>740 / 100 = 7.40</em></u>
<u><em>37 - 7.40 = 29.6</em></u>
<u><em>37 decreased by 20% is </em></u><u><em>29.6.</em></u>
