Answer:
x = -1
Step-by-step explanation:
2(x – 2) + 6 = 0
~Distribute left side
2x - 4 + 6 = 0
~Combine like terms
2x + 2 = 0
~Subtract 2 to both sides
2x = -2
~Divide 2 to both sides
x = -1
Best of Luck!
Answer:
Any one of these three works:
plane MOU
plane MNU
plane NOU
Step-by-step explanation:
A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.
Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.
To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.
plane L can be named
plane MOU
plane MNU
plane NOU
Do not name it plane MNO
Answer:
z =15cm and
y=9.0cm
Step-by-step explanation:
Use sine rule
12/ sin53 = z / sin 90
Z = 12 x sin 90 / sin 53
Z = 15cm
To find y the angle opposite to y will be 180-(90+53)=37º
So
15/sin 90= y/sin37
y= 15 x sin37 /sin 90
y = 9.0cm
If 12 balls fit in 2 boxes, 6 balls fit in 1 box. 78 / 6 = 13. 78 balls fit in 13 boxes. x = 13.
Answer:
a
The null hypothesis is 
The alternative hypothesis is 
b

c

d
There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns
Step-by-step explanation:
From the question we are told that
The sample size is 
The number that said it is morally wrong is 
The level of significance is 
The population proportion is 
Generally the sample proportion is mathematically represented as

=> 
=> 
The null hypothesis is 
The alternative hypothesis is 
The standard error is mathematically represented as

=> 
=> 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally the p-value is mathematically represented as

From the the z-table

=> 
=> 
From the calculation 
Hence we fail to reject the null hypothesis
Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns