A postulate is a statement in math that is so obvious that it does not need to be proven, that is basically what it means, in layman's terms
(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x -5/3.
We have given
-3x+4 > 9
Required values of x.
State the values of x within -3 and 3.
subtract 4 from both sides,
-3x+4-4>9-4
<h3>What is the meaning of like terms?</h3>
like terms are terms that have the same variables and powers. The coefficients do not need to match.
Collect Like Terms
-3x > 5
(-3x)(-1) < 5(-1)
3x < -5
Divide both sides by 3
3x/3 < -5/3
x < -5/3
(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x is -5/3.
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Answer:
j =76/3
Step-by-step explanation:
-3j - -4
------------------ = 12
-6
Multiply each side by -6 to clear the fraction
-3j +4
------------------ * -6 = 12 *-6
-6
-3j +4 = -72
Subtract 4 from each side
-3j +4-4 = -72 -4
-3j = -76
Divide each side by -3
-3j/-3 = -76/-3
j = 76/3
Answer: 1.303639
Step-by-step explanation:
The t-score for a level of confidence
is given by :_
, where df is the degree of freedom and
is the significance level.
Given : Level of significance : 
Then , significance level : 
Sample size : 
Then , the degree of freedom for t-distribution: 
Using the normal t-distribution table, we have

Thus, the t-score should be used to find the 80% confidence interval for the population mean =1.303639
Answer:
D) 20.
Step-by-step explanation:
First find the value of x using Pythagoras theorem:
10^2 = x^2 + (2x)^2
5x^2 = 100
x^2 = 20
x = √20
= 2√5.
So the area of triangle
= 1/2 * base * height
= 1/2 * 2x * x
= x^2
= (2√5)^2
= 20.