X + 2y - 6 = z..........x + 2y - z = 6
3y - 2z = 7
4 + 3x = 2y - 5z.....3x - 2y + 5z = -4
x + 2y - z = 6.....multiply by -3
3x - 2y + 5z = -4
---------------------
-3x - 6y + 3z = -18 (result of multiplying by -3)
3x - 2y + 5z = -4
--------------------add
-8y + 8z = - 22
-8y + 8z = -22
3y - 2z = 7 .....multiply by 4
----------------
-8y + 8z = -22
12y - 8z = 28 (result of multiplying by 4)
----------------add
4y = 6
y = 6/4 reduces to 3/2
-8y + 8z = -22
-8(3/2) + 8z = -22
-12 + 8z = -22
8z = -22 + 12
8z = -10
z = -10/8 reduces to -5/4
x + 2y - 6 = z
x + 2(3/2) - 6 = -5/4
x + 3 - 6 = -5/4
x - 3 = -5/4
x = -5/4 + 3
x = -5/4 + 12/4
x = 7/4
solution is (7/4, 3/2, -5/4).....x = 7/4, y = 3/2, and z = -5/4
Probability of getting a pen in the first box:
7/12 = 0.58
0.58 x 100% = 58%
probability of getting a crayon in the second box:
5/10 = 1/2
half of 100 is 50, so 50%
or:
1/2 x 100% = 50%
Answer:
We are given that The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.
Number of Assemblers(x) One-Hour Production(y) (units)
2 11
4 18
1 7
5 29
3 20
a. Draw a scatter diagram.
Solution : Refer the attached figure
b. Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production? Explain.
Solution: The equation that shows the relationship between the number of assemblers and production is
Where y is One-Hour Production (units) and x is the Number of Assemblers
c.Compute the correlation coefficient.
Solution:
Formula of correlation coefficient:
x y xy
2 11 22 4 121
4 18 72 16 324
1 7 7 1 49
5 29 145 25 841
3 20 60 9 400
Sum: 15 85 306 55 1735
n=5
Substitute the values in the formula :
The correlation coefficient is 0.00351
Answer:
saturn
Step-by-step explanation:
it goes Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune
Answer:
prime i think sooooooooooooo