Answer: x = 10
Step-by-step explanation:
(
4
x
−
5
)
=
7
(
x
−
5
)
Simplify 7
(
x
−
5
)
.
4
x
−
5
=
7
x
−
35
Move all terms containing x to the left side of the equation.
−
3
x
−
5
=
−
35
Move all terms not containing x to the right side of the equation.
−
3
x
=
−
30
Divide each term by −
3 and simplify.
x
=
10
Answer: 0.05
Step-by-step explanation:
- Sampling error is the error occurs by considering sample for study instead of entire population.
Given : The proportion of items in a population that possess a specific attribute is known to be 0.45.
Sample size : n= 100
Sample proportion of items in a population that possess a specific attribute : 
Now, the formula to find the sampling error :
Hence, the sampling error =0.05
Answer:
x = 9
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
50° is an exterior angle of the triangle, thus
38 + 4x - 24 = 50 , that is
14 + 4x = 50 ( subtract 14 from both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Part a:-
The base of each triangle is 4 inches long.
Their height is 3/2 * 4 = 6 inches.
b
The combined area of the triangular faces = 4 * 1/2 * 4 * 6 = 48 sq ins
c
Surface area of the pyramid = 48 + area of base = 48 + 16 = 64 sq ins.
Answer:
Check explanations for answer
Step-by-step explanation:
Here, we want to find out how Gerard came to the conclusion
For him to arrive at this conclusion, then we should consider the lengths given if they form a right triangle and are suitable for the building frame
From the lengths that we have
If we square the longest length, then the sum of the squares of the two other lengths should be the same as it is
This is in obedience to Pythagoras’ theorem
However, this does not hold
√(150)^2 is not equal to 8^2 + (√(95))^2)
and so since this does not work, then the triangle is not right-angled and cannot be use as the frame
