The probability is 3/14. There are 2 multiples of 4 in 14, which is 8 and 12. There is only 1 multiple of 6 in 14 which is 12. 1+2=3. It is possible outcomes over total outcomes so 3/14.
Kate's model is correct because 10 times the value of 4 rods, 10(4(10)), is 400. Mel's model represents 4(1)=4, which is incorrect. Kate's model represents 4*100=400, which is correct.
Hope I answered your question!
1. Would be 58/11
Because we convert the mixed number to an improper fraction, 5x11+3/11. We then would multiple the numbers with gives us 55+3/11. We add that giving us 58/11
Answer:
195 feet.
Step-by-step explanation:
multiply 30 x 6.5.
Answer:
0.077994
Step-by-step explanation:
Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.
![H_0: Mean = 30\\H_a: Mean >30](https://tex.z-dn.net/?f=H_0%3A%20Mean%20%3D%2030%5C%5CH_a%3A%20Mean%20%3E30)
(Right tailed test)
Sample size = ![n=250](https://tex.z-dn.net/?f=n%3D250)
Sample mean = 30.45
Mean difference =![30.45-30=0.45\\](https://tex.z-dn.net/?f=30.45-30%3D0.45%5C%5C)
Sample std dev s = 5
Sample std error = ![\frac{5}{\sqrt{n} } =\frac{5}{\sqrt{250} } \\=0.3163](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B%5Csqrt%7Bn%7D%20%7D%20%3D%5Cfrac%7B5%7D%7B%5Csqrt%7B250%7D%20%7D%20%5C%5C%3D0.3163)
Test statistic = Mean diff/std error = ![=\frac{0.45}{0.3163} =1.423](https://tex.z-dn.net/?f=%3D%5Cfrac%7B0.45%7D%7B0.3163%7D%20%3D1.423)
Since population std deviation is not know we use t test
p value = ![0.077994](https://tex.z-dn.net/?f=0.077994)