Answer = 2.00
Z score is a statistical that corresponds to the standardization of the regular score to a normal distribution
The formula for Z score is Z = [X - mean ]./ (standard deviation)
Here X = 930.00; mean = 900.00; and standard deviation = 15.00
Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00
Therefore, your answer is 2.00
Hope I helped :)
Answer:
a = 2
Step-by-step explanation:
Let's find the equation of the line using the 2 points given.
Let's call -1 as x_1 and -5 as y_1
also, 4 as x_2 and 5 as y_2
The equation of line is :
![y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
<em>Let's plug the points and get the equation of the line:</em>
![y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29%5C%5Cy%2B5%3D%5Cfrac%7B5%2B5%7D%7B4%2B1%7D%28x%2B1%29%5C%5Cy%2B5%3D2%28x%2B1%29%5C%5Cy%2B5%3D2x%2B2%5C%5Cy%3D2x-3)
Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:
![y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2](https://tex.z-dn.net/?f=y%3D2x-3%5C%5C1%3D2%28a%29-3%5C%5C1%3D2a-3%5C%5C2a%3D4%5C%5Ca%3D%5Cfrac%7B4%7D%7B2%7D%3D2)
Answer:
84 cases
Step-by-step explanation:
Given that:
Number of trucks: 28
Paper cases each truck can load = 3
Total cases of white paper = 283
So the cases delivered will be = 28 *3 = 84 cases will be delivered today
i hope it will help you!
Answer:
No, to be a function a relation must fulfill two requirements: existence and unicity.
Step-by-step explanation:
- Existence is a condition that establish that every element of te domain set must be related with some element in the range. Example: if the domain of the function is formed by the elements (1,2,3), and the range is formed by the elements (10,11), the condition is not respected if the element "3" for example, is not linked with 10 or 11 (the two elements of the range set).
- Unicity is a condition that establish that each element of the domain of a relation must be related with <u>only one</u> element of the range. Following the previous example, if the element "1" of the domain can be linked to both the elements of the range (10,11), the relation is not a function.
Answer:
If x is the distance from centre fo the circle, with radius 25cm, to its intersection point with the common chord, x²+24²=25² =>x=7cm.
Distance from this intersecting point to the centre of the other circle=39–7=32cm
Ratio of the sides of the right triangle thus formed is 24:32=3:4. Since 3:4:5 is the basic pythagorean triplet, the radius of the other circle=5*24/3=40cm.
Aliter: radius of the other circle=√32²+24²= 40cm.
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