Answer:
b=14
Step-by-step explanation:
Add 4b and 8b, which you get 12b. Then you add 11 and 1 which you get 12.
12b + 12 = 180 is the next equation.
Afterwards, you subtract 12 from 180.
12b = 168
Divide 12b from 168.
b = 14
Answer: 15 cm
Step-by-Step Explanation:
Side Length (a) = 5cm
Perimeter = 3a
Therefore,
= 3a
= 3 * 5
= 15
Perimeter = 15 cm
13x - y = 19
-y = - 13x + 19
y = 13x + 19
Answer:
The p-value for two-tailed test is 0.136
Step-by-step explanation:
Given;
one-tail test, p-value = 0.068,
In one-tailed test, we test for the possibility of a relationship in one direction and completely disregard the possibility of a relationship in the other direction.
One-tail test provides possibility of an outcome in one direction, while
two-tail test provides possibility of an outcome in two different directions.
Thus, the p-value for two-tailed test = 2 x 0.068 = 0.136
Answer:
x=1/3 or x=−2
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Step-by-step explanation:
Step 1: Add 2 to both sides.
3x^2+5x−2+2=0+2
3x^2+5x=2
Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x^2+5x/3=2/3
x^2+5/3x=2/3
Step 3: The coefficient of 5/3x is 5/3. Let b=5/3.
Then we need to add (b/2)^2=25/36 to both sides to complete the square.
Add 25/36 to both sides.
x^2+5/3x+25/36=2/3+25/36
x^2+5/3x+25/36=49/36
Step 4: Factor left side.
(x+5/6)^2=49/36
Step 5: Take square root.
x+5/6=±√49/36
Step 6: Add (-5)/6 to both sides.
x+5/6+ −5/6=
−5/6±√49/36x=−5/6±√49/36x=
1/3 or x=−2