Answer:
(a) see attachment
(b) E(x) = 226/105
Step-by-step explanation: see attachment
Using z-scores, it is found that the value of z is z = 1.96.
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Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean
and standard deviation
, is given by:
- It measures how many standard deviations the measure is from the mean.
- Each z-score has an associated p-value, which is the percentile.
- The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
- The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
- The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
- Thus, the value of Z is 1.96.
A similar problem is given at brainly.com/question/16965597
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The filling in of the formula for the n-th term is pretty straightforward. The attachment shows how simple it is.
The 7th term is found by evaluating the expression for n=7.
a₇ = 192
So you can do 1/2 and then divide it by 1/8.
To divide by a fraction, multiply by its reciprocal.
So;
1/2 / 1/8 = 1/2•8/1
1/2• 8 = 8/2
8/2= 4
So he can fill 4 mugs!!!
Brainliest if i helped!
Answer:
If you are looking for x it equals 80 degrees
Step-by-step explanation:
vertical angles are congruent