Perimeter: 30units
Area: 30units^2
Explanation: Checked with calc!
Answer:
(3x+2) (x+2)
Step-by-step explanation:
For a polynomial of the form ax^2 + bx + c and rewrite the middle term as a sum of two terms whose product is a ⋅ c = 3 ⋅ 4 = 12 and whose sum is b = 8
Factor 8 out of 8x
3x^2 + 8 (x) + 4
Rewrite 8 as 2 plus 6
3x^2 + (2+6) x + 4
Apply the distributive property
3x^2 + 2x + 6x +4
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(3x^2 + 2x) + 6x + 4
Factor out the greatest common factor (GCF) from each group.
x(3x+2) + 2(3x+2)
Factor the polynomial by factoring out the greatest common factor,
3x + 2.
Answer: (3x+2) (x+2)
Hope that helps! :)
⋅
Answer:
0.9955
Step-by-step explanation:
Given :
Mean weight increase , μ = 14
Sample mean weight increase , xbar = 16.3
Standard deviation, s = 5.9
Sample size, n = 45
Hypothesis :
H0 : μ = 14
H1 : μ > 14
The test statistic : (xbar - μ) ÷ (s/sqrt(n))
Test statistic = (16.3 - 14) ÷ (5.9/sqrt(45))
Test statistic = 2.3 / 0.8795200
Test statistic = 2.615
The Pvalue :
P(Z < 2.615) = 0.99554
Hence, pvalue = 0.9955 (4 decimal places).
