95% of red lights last between 2.5 and 3.5 minutes.
<u>Step-by-step explanation:</u>
In this case,
- The mean M is 3 and
- The standard deviation SD is given as 0.25
Assume the bell shaped graph of normal distribution,
The center of the graph is mean which is 3 minutes.
We move one space to the right side of mean ⇒ M + SD
⇒ 3+0.25 = 3.25 minutes.
Again we move one more space to the right of mean ⇒ M + 2SD
⇒ 3 + (0.25×2) = 3.5 minutes.
Similarly,
Move one space to the left side of mean ⇒ M - SD
⇒ 3-0.25 = 2.75 minutes.
Again we move one more space to the left of mean ⇒ M - 2SD
⇒ 3 - (0.25×2) =2.5 minutes.
The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.
Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)
Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%
Answer:
1.3 pounds; on average, weight of a bag varies 1.3 pounds from the mean of 7 pounds
Step-by-step explanation:
the mean absolute deviation is 1.3 and the mean is 7. i just took this test today, hoped this helped:)
Y=<span>−33/<span>5
</span></span><span><span><span><span>53</span>y</span>+3</span>=<span>−8</span></span>Step 1: Subtract 3 from both sides.<span><span><span><span><span>53</span>y</span>+3</span>−3</span>=<span><span>−8</span>−3</span></span><span><span><span>53</span>y</span>=<span>−11</span></span>Step 2: Multiply both sides by 3/5.<span><span><span>(<span>35</span>)</span>*<span>(<span><span>53</span>y</span>)</span></span>=<span><span>(<span>35</span>)</span>*<span>(<span>−11</span>)</span></span></span><span>y=<span><span>−33</span><span>5</span></span></span>
Answer:50 x 2 = 100.
100 ÷ 5 = $20 off.
50 – 20 = $30 sale price.The sale price is $30.