Answer:
y= -1/2x+2
y = 3/2x+6
y= 5/3x+7
Step-by-step explanation:
You can calculate percentages by first finding what 10% of a value is and then what 5 or 1% is. From there you can multiply to find multiples and then add to get the required percentage. The example below shows this.
<span>What is 35% of $40?<span>Step 1<span>What is 10% of $40?10% of $40 = $40 ÷ 10 =<span> $4</span></span><span>10% is a relatively easy percentage and can be found by<span> dividing by 10</span>.</span></span><span>Step 2<span>3 x $4 = $1230% of $40 = $12</span>30% is 3 times ( 3 x) 10% so we multiply what 10% of $40 is by 3</span><span>Step 3<span>What is 5% of $40?5% of $40 = $4 ÷ 2 =<span> $2</span></span><span>5% is half of what 10% is so divide what 10% is by 2 .</span></span><span>Step 4<span>What is 35% of $40?$12 + $2 = $14</span><span>Add what</span></span></span>
Since the sample is greater than 10, we can approximate this binomial problem with a normal distribution.
First, calculate the z-score:
z = (x - μ) / σ = (37000 - 36000) / 7000 = 0.143
The probability P(x > 37000$) = 1 - P(<span>x < 37000$),
therefore we need to look up at a normal distribution table in order to find
P(z < 0.143) = 0.55567
And
</span>P(x > 37000$) = 1 - <span>0.55567 = 0.44433
Hence, there is a 44.4% probability that </span><span>the sample mean is greater than $37,000.</span>
To get the box plot we begin by arranging the data in ascending order:
<span>135, 149, 156, 112, 134, 141, 154, 116, 134, 156
rearranging we get:
112,116, 134, 134, 135, 141, 149, 154, 156, 156
then:
Lower value=112
Q1=134
Median=(135+141)/2=138
Q3=154
Largest value=156
The second figure is the correct figure.
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