Answer:
12
Step-by-step explanation:
Given :
Male Female Total
Registered 60
Non registered 40
Total 20 80
Solution :
N= 100
Formula of expected frequency = ![E_{ij}=\frac{T_i \times T_j}{N}](https://tex.z-dn.net/?f=E_%7Bij%7D%3D%5Cfrac%7BT_i%20%5Ctimes%20T_j%7D%7BN%7D)
= expected frequency for the ith row/jth columm.
= total in the ith row
= total in the jth column
N = table grand total.
So, using formula ![E_{11}=\frac{T_1 \times T_1}{100}](https://tex.z-dn.net/?f=E_%7B11%7D%3D%5Cfrac%7BT_1%20%5Ctimes%20T_1%7D%7B100%7D)
![E_{11}=\frac{60 \times 20}{100}](https://tex.z-dn.net/?f=E_%7B11%7D%3D%5Cfrac%7B60%20%5Ctimes%2020%7D%7B100%7D)
![E_{11}=12](https://tex.z-dn.net/?f=E_%7B11%7D%3D12)
![E_{12}=\frac{T_1 \times T_2}{100}](https://tex.z-dn.net/?f=E_%7B12%7D%3D%5Cfrac%7BT_1%20%5Ctimes%20T_2%7D%7B100%7D)
![E_{12}=\frac{60 \times 80}{100}](https://tex.z-dn.net/?f=E_%7B12%7D%3D%5Cfrac%7B60%20%5Ctimes%2080%7D%7B100%7D)
![E_{12}=48](https://tex.z-dn.net/?f=E_%7B12%7D%3D48)
![E_{21}=\frac{T_2 \times T_1}{100}](https://tex.z-dn.net/?f=E_%7B21%7D%3D%5Cfrac%7BT_2%20%5Ctimes%20T_1%7D%7B100%7D)
![E_{21}=\frac{40 \times 20}{100}](https://tex.z-dn.net/?f=E_%7B21%7D%3D%5Cfrac%7B40%20%5Ctimes%2020%7D%7B100%7D)
![E_{21}=8](https://tex.z-dn.net/?f=E_%7B21%7D%3D8)
![E_{22}=\frac{T_2 \times T_2}{100}](https://tex.z-dn.net/?f=E_%7B22%7D%3D%5Cfrac%7BT_2%20%5Ctimes%20T_2%7D%7B100%7D)
![E_{22]=\frac{80 \times 40}{100}](https://tex.z-dn.net/?f=E_%7B22%5D%3D%5Cfrac%7B80%20%5Ctimes%2040%7D%7B100%7D)
![E_{22}=32](https://tex.z-dn.net/?f=E_%7B22%7D%3D32)
Expected frequency table
Male Female Total
Registered 12 48 60
Non registered 8 32 40
Total 20 80
So, the expected frequency for males who are registered voters are ![E_{11}=12](https://tex.z-dn.net/?f=E_%7B11%7D%3D12)
Answer:
0.3114
Option d is right
Step-by-step explanation:
Let X be the time spent on a treadmill in the health club
Given that research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes
Also given that X is normal
the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
![= P(30](https://tex.z-dn.net/?f=%3D%20P%2830%3Cx%3C40%29%3D%20%5C%5CF%2840%29-F%2830%29%5C%5C%3D%200.3217-0.0103%5C%5C%3D0.3114)
round off to two decimals tog et
the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31
Hence option d is right
Answer:
Second Attempt is faster.
Step-by-step explanation:
He reads 360 words in
hour in the first attempt and in the second attempt he reads the same number of words in
hour.
Since,
he takes less time in the second time. Less time means the work is done faster.
Therefore, second attempt is faster.
Answer:
x=−6
x=2
Step-by-step explanation:
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.
∣x+2∣−5=−1
Add 5 to both sides of the equation.
∣x+2∣=4
Use the definition of absolute value.
x+2=4
x+2=−4
Subtract 2 from both sides of the equation.
x=2
x=−6