Answer:
1.2
Step-by-step explanation:
Given that X is Normally distributed random variable with an unknown mean μ and known standard deviation 6
Hence we can say for a sample of size 100, the sample mean will have a std deviation of = ![\frac{6}{\sqrt{100} } =0.6](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Csqrt%7B100%7D%20%7D%20%3D0.6)
Since population std deviation is known we can use Z critical value for finding out the confidence interval
For 95% using (68-95-99.7 rules) we have z critical value =2
Hence margin of error =2(std error) = 1.2
Confidence interval 95%
Lower bound = Mean - margin of error = Mean -1.2
UPper bound = Mean +1.2
Hence , 95% of all of these values of x should lie within a distance of __1.2___ from μ .
Answer:
5.7 + 2.5/10x ≥ 8
where x is the artistic score
Step-by-step explanation:
if the technical score is 7.6/10 = 76% of 75% = 0.57 out of 10.
there are still 2.5 more points that can be obtained, so the gymnast needs 8 - 5.7 = 2.3 out of 2.5 possible points
the inequality would be:
5.7 + 2.5/10x ≥ 8
where x is the artistic score
2.5/10x ≥ 8 - 5.7
2.5/10x ≥ 2.3
x ≥ (2.3 x 10) / 2.5
x ≥ 9.2
It is really simple. The ratio between both the triangles is 7, so you just divide 49 by 7(it gives you 7) to get the value of x. The answer is option (a) 7.
Hope This Helped!
Good Luck!
Answer:
denominator
Step-by-step explanation:
The denominator tells how many equal parts the whole is subdivided into. The numerator tells the number of those parts that are under consideration.