Answer:
The width of the rectangle is 3 cm
Step-by-step explanation:
Answer:
![\bar X= \frac{1930055}{110}=17545.95](https://tex.z-dn.net/?f=%20%5Cbar%20X%3D%20%5Cfrac%7B1930055%7D%7B110%7D%3D17545.95)
Step-by-step explanation:
For this case we can construct the following table in order to find the mean for the grouped data:
Interval Frequency (fi) Midpoint (Xi) Xi *fi
5001-10000 27 7500.5 202513.5
10001-15000 23 12500.5 287511.5
15001-20000 12 17500.5 210006
20001-25000 18 22500.5 405009
25001-30000 30 27500.5 825015
Total 110 1930055
And the mean is calculated with the following formula:
![\bar X= \frac{\sum_{i=1}^n x_i f_i}{n}](https://tex.z-dn.net/?f=%20%5Cbar%20X%3D%20%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20x_i%20f_i%7D%7Bn%7D)
Where ![n = \sum_{i=1}^n f_i = 110](https://tex.z-dn.net/?f=%20n%20%3D%20%5Csum_%7Bi%3D1%7D%5En%20f_i%20%3D%20110)
So then if we replace into the formula we got:
![\bar X= \frac{1930055}{110}=17545.95](https://tex.z-dn.net/?f=%20%5Cbar%20X%3D%20%5Cfrac%7B1930055%7D%7B110%7D%3D17545.95)
Answer: $2.95
Step-by-step explanation:
Given: Probability of losing the $7 = ![\dfrac{20}{38}](https://tex.z-dn.net/?f=%5Cdfrac%7B20%7D%7B38%7D)
Probability of winning $14 = ![\dfrac{18}{38}](https://tex.z-dn.net/?f=%5Cdfrac%7B18%7D%7B38%7D)
Then, the expected value = (- $7) x ( Probability of losing the $7) + $14 x(Probability of winning $14)
= ![(-\$ 7)\times\dfrac{20}{38}+(\$14)\times\dfrac{18}{38}](https://tex.z-dn.net/?f=%28-%5C%24%207%29%5Ctimes%5Cdfrac%7B20%7D%7B38%7D%2B%28%5C%2414%29%5Ctimes%5Cdfrac%7B18%7D%7B38%7D)
= ![-\dfrac{70}{19}+\dfrac{126}{19}](https://tex.z-dn.net/?f=-%5Cdfrac%7B70%7D%7B19%7D%2B%5Cdfrac%7B126%7D%7B19%7D)
= ![\dfrac{56}{19}\times\approx\$2.95](https://tex.z-dn.net/?f=%5Cdfrac%7B56%7D%7B19%7D%5Ctimes%5Capprox%5C%242.95)
∴ If a doctor pays $7 that the outcome is an odd number, the doctor's
expected value is $2.95.
That one is super easy i believe you can get that !!
Answer:
4
Step-by-step explanation: