I'm pretty sure its line c.
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
<u>P (6th grader)</u>
- No. of 6th graders / Total students
- 6 / 6 + 7 + 8
- 6/21
- 2/7
<u>P (6th grader after)</u>
- No. of 6th graders - 1 / Total students - 1
- 6 - 1 / 21 - 1
- 5/20
- 1/4
<u>Question 1 : P (Both 6th graders)</u>
- P = P (6th grader) × P (6th grader after)
- P = 2/7 x 1/4 = 2/28 = <u>1/14</u>
<u></u>
<u>Question 2 : P' (Both 6th graders)</u>
- P' = 1 - P
- P' = 1 - 1/14
- P' = <u>13/14</u>
Answer: 68% of light bulbs last between 1765 hours and 1835 hours.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 1800 hours and the standard deviation is 35 hours.
1 standard deviation = 1 × 35 = 35
1800 - 35 = 1765 hours
1800 + 35 = 1835 hours
Therefore, 68% of light bulbs last between 1765 hours and 1835 hours.
Answer:
a. ![\frac{4a}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B4a%7D%7B15%7D)
b. $225
Step-by-step explanation:
Let Mr. Scruggs got money for his birthday be 'a'
He spent
of it on dog treats = a × ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
= ![\frac{1}{5}a](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Da)
remainder amount would be = a - ![\frac{1}{5}a](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Da)
= ![\frac{4a}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B4a%7D%7B5%7D)
Then he divided the remainder money equally among 3 favorite charities.
![\frac{\frac{4a}{5}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B4a%7D%7B5%7D%7D%7B3%7D)
= ![\frac{4a}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B4a%7D%7B15%7D)
a. Each charity receive
b. If he donated $60 to each charity.
![\frac{4a}{15}=60](https://tex.z-dn.net/?f=%5Cfrac%7B4a%7D%7B15%7D%3D60)
![a=\frac{15\times 60}{4}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B15%5Ctimes%2060%7D%7B4%7D)
a = $225
Mr. Scruggs received $225 for his birthday.