Answer:
3.361 3.361 3.361 cm
Step-by-step explanation:
Minimum surface are will be a cube
LWH = 38
L = cubrt (38) = 3.361 side length cm
Answer:
- <em><u>The female has a higher count relative to the sample of females than the male relative to the sample of males.</u></em>
Explanation:
When you want to compare the means of two samples with different statistics you may use the z-score.
The z-score measures how far a value (data point) is from the mean, in terms of the standard deviation.
The z-score is calculated as:
![z-score=(x-\mu )}/\sigma](https://tex.z-dn.net/?f=z-score%3D%28x-%5Cmu%20%29%7D%2F%5Csigma)
Where:
![x=\text{value of the data}\\\\\mu =mean\\\\\sigma = \text{standard deviation}](https://tex.z-dn.net/?f=x%3D%5Ctext%7Bvalue%20of%20the%20data%7D%5C%5C%5C%5C%5Cmu%20%3Dmean%5C%5C%5C%5C%5Csigma%20%3D%20%5Ctext%7Bstandard%20deviation%7D)
<u>1. Male with a count of 5.58 </u>
![z-score=(5.58-4.719)/0.490=1.757](https://tex.z-dn.net/?f=z-score%3D%285.58-4.719%29%2F0.490%3D1.757)
<u />
<u>2. Female with a count of 5.23</u>
![z-score=(5.23-4.349)/0.402=2.192](https://tex.z-dn.net/?f=z-score%3D%285.23-4.349%29%2F0.402%3D2.192)
Therefor, the z-score of the female is greater than the z-score of the male.
The greater z-score means that, relative to her group, the female has a higher count than the male.
Answer:
33/20
Step-by-step explanation:
1/12 - 1/15 = 5/60 - 4/60 = 1/60
d = 1/60
a_n = a_1 + d(n - 1)
a_11 = 1/15 + (1/60)(11 - 1)
a_11 = 1/15 + 1/6
a_11 = 4/60 + 10/60
a_11 = 14/60
a_11 = 7/30
a_12 = 14/60 + 1/60
a_12 = 15/60
a_12 = 1/4
s_n = n(a_1 + a_n)/2
s_11 = 11(1/15 + 7/30)/2
s_11 = 11(2/30 + 7/30)/2
s_11 = 11(9/30)/2
s_11 = 99/60
s_11 = 33/20
1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9