Answer:
It mean the origin of the coordinates. A graph on a plane has the y-axis and the x-axis. ... This point is the point with coordinate (0, 0) and it is referred to as the origin.
Answer:
Tim has 75 pencils and 25 pens
Step-by-step explanation:
To solve this create a system of equations. To do so, first create an equation for the total number of utensils that he has. Let x equal the number of pencils and y equal the number of pens.
x+ y = 100
Now make one for the comparison of the two and solve for the constant.
x = 3y
x - 3y = 0
Now to solve the system, multiply the second equation by -1 and add them together.
x + y = 100
-x + 3y = 100
-----------------
4y = 100
y = 25
Now that we have the number of pens, find the number of pencils using an equation.
x + y = 100
x + 25 = 100
x = 75
Answer:
(D) 200 men and 2,000 women
Step-by-step explanation:
To have an approximately normal distribution for the difference between proportions, we have to have sample sizes that are big enough to satisfy this conditions:
For men, we have p=0.08, so we have:
The sample size for men has to be at least 125 individuals.
For women, we have p=0.005:
The sample size for women has to be at least 2000 individuals.
The option that satisfy the requirements for men and women is Option D, as the others don't have enough sample size for women.
Answer:
3156
Step-by-step explanation:
- <em>Used formula:</em>
- <em>(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)</em>
--------
- 10²+12²+14²+......+26² =
- (2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
- 4*(5²+6²+7²+...+13²) =
- 4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
- 4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
- 4*(1/6*13*14*27- 30) =
- 4*(819 - 30) =
- 4*789 =
- 3156
That dont een make no sense tho
