Answer:
$15
correct if wrong pls
Step-by-step explanation:
42+56+129= 227 total of deposits
17+32+18= 67 total of withdrawals
227-67= 160
160-145=15 answer
correct if wrong but i think thats the answer
1. option 1
2. option 1
3. option 4
4. option 1
5. option c
explanation is in picture attached.
excuse me.for my bad handwriting
Step-by-step explanation:
In statistics, the empirical rule states that for a normally distributed random variable,
- 68.27% of the data lies within one standard deviation of the mean.
- 95.45% of the data lies within two standard deviations of the mean.
- 99.73% of the data lies within three standard deviations of the mean.
In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as
![\Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})](https://tex.z-dn.net/?f=%5CPhi%28%5Cmu%20%5C%20-%20%5C%20%5Csigma%20%5C%20%5Cleq%20X%20%5C%20%5Cleq%20%5Cmu%20%5C%20%2B%20%5C%20%5Csigma%29%20%5C%20%3D%20%5C%200.6827%20%5Cqquad%20%284%20%5C%20%5Ctext%7Bs.f.%7D%29%20%5C%5C%20%5C%5C%20%5C%5C%20%5CPhi%28%5Cmu%20%5C%20-%20%5C%202%5Csigma%20%5C%20%5Cleq%20X%20%5C%20%5Cleq%20%5Cmu%20%5C%20%2B%20%5C%202%5Csigma%29%20%5C%20%3D%20%5C%200.9545%20%5Cqquad%20%284%20%5C%20%5Ctext%7Bs.f.%7D%29%20%5C%5C%20%5C%5C%20%5C%5C%20%5CPhi%7D%28%5Cmu%20%5C%20-%20%5C%203%5Csigma%20%5C%20%5Cleq%20X%20%5C%20%5Cleq%20%5Cmu%20%5C%20%2B%20%5C%203%5Csigma%29%20%5C%20%3D%20%5C%200.9973%20%5Cqquad%20%284%20%5C%20%5Ctext%7Bs.f.%7D%29)
where the symbol
(the uppercase greek alphabet phi) is the cumulative density function of the normal distribution,
is the mean and
is the standard deviation of the normal distribution defined as
.
According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution
,
![\Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973](https://tex.z-dn.net/?f=%5CPhi%28113%20%5C%20-%20%5C%203%20%5C%20%5Ctimes%20%5C%2012%20%5C%20%5Cleq%20%5C%20X%20%5C%20%5Cleq%20%5C%20113%20%5C%20%2B%20%5C%203%20%5C%20%5Ctimes%20%5C%2012%29%20%5C%20%3D%20%5C%200.9973%20%5C%5C%20%5C%5C%20%5C%5C%20%5C-%5Chspace%7B1.75cm%7D%20%5CPhi%28113%20%5C%20-%20%5C%2036%20%5C%20%5Cleq%20%5C%20X%20%5C%20%5Cleq%20%5C%20113%20%5C%20%2B%20%5C%2036%29%20%5C%20%3D%20%5C%200.9973%20%5C%5C%20%5C%5C%20%5C%5C%20%5C-%5Chspace%7B3.95cm%7D%20%5CPhi%2877%20%5C%20%5Cleq%20%5C%20X%20%5C%20%5Cleq%20%5C%20149%29%20%5C%20%3D%20%5C%200.9973)
Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the value of AC is 24 units.
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Given circle E with diameter CD and radius EA. AB is tangent to E at A.
If AD = 10 and CD = 26.
Then the value of AC will be
We know that the tangent and radius make 90 degrees. Then the triangle is a right-angle triangle.
Then the AC is given by the Pythagoras theorem.
B² = H² - P²
B² = 26² - 10²
B² = 576
B = 24
More about the circle link is given below.
brainly.com/question/11833983
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