Answer:
Step-by-step explanation:
65m + 40 = 55m + 190
65m - 55m = 190 - 40
10m = 150
m = 15 months
1. First, put the range in order and then divide the set into quarters. In this case, quartiles are between numbers.
<span>83, 85, 89, l 91, 95, 104, l 112, 118, 118, l 125, 134, 138
Q</span>₁ = (89 + 91)/2 = 90
Q₂ = (104 + 112)/2 =108
Q₃ = (118 + 125)/2 = 121.5
Interquartile range (IQR) = Q₃ - Q₁
= 121.5 - 90
IQR = 31.5
2. To find the standard deviation follow the simple steps.
Formula in finding the standard deviation: (see attached file)
Step 1. Work out the simple average of the numbers (mean)
<span><span><u>212 + 249 + 212 + 248 + 239 + 212 + 216 + 234 + 248</u>
</span> 9
= <span><u>2070</u>
</span> 9
mean (</span>μ) = 230
Step 2. Subtract the mean on each number and square the result.
212 - 230 = (-18)² = 324<span>
249 </span>- 230 = ( 19)² = 361<span>
212 </span>- 230 = (-18)² = 324<span>
248 </span>- 230 = (18)² = 324<span>
239 </span>- 230 = (9)² = 81<span>
212 </span>- 230 = (-18)² =324<span>
216 </span>- 230 = (-14)² =196<span>
234 </span>- 230 = (4)² =16<span>
248 </span>- 230 = (18)² =324
Step 3. Add all the squared results and get the mean.
<span><u>2274</u>
</span> 9
Variance = 252.6666667
Step 4. Get the square root of the variance.
√252.6666667
= 15.89549202
Answer:
Step-by-step explanation:
Woke up = 7:30 AM
<u>Time to:</u>
- Get ready = 14 min
- Finish breakfast = 9 min
- Commute to school = 39 min
<u>Altogether:</u>
= 14 + 9 + 39 min
<h3>= 62 minutes </h3>
(As we know that, 1 hour = 60 minutes)
So,
<h3>62 minutes = 1 hour 2 minutes</h3>
<u>Time he reached the school:</u>
7 hr 30 min + 1 hr 2 min
Combine like terms
7 hr + 1 hr + 30 min + 2 min
<h3>8 hr + 32 min</h3>
OR
<h3>8:32 AM</h3>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
2(x + 3)
Multiply the 2 by x and by 3
= 2x + 6
