Answer:
36.88
Step-by-step explanation:
6.1 + 6.3 = 12.4
3.2 x 12.4 = 39.68
39.68 - 2.8 = 36.88
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
STEP 1:
Stress score in general executive (s1)
Stress score in exercising executive (s2)
Null : s1 = s2
Alternative : s1 < s2
STEP 2:
Shape of distribution = normal
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
Decision rule :
α = 0.05 which corresponds to a t score (t0) ;
df = n - 1 = 30 - 1= 30 at 0.05 = 1.699
If :
(Test statistic (t) > t0) ; reject the Null
(right tailed test)
Test statistic (t) :
(x - μ) / (σ/√n)
(2.76 - 2.55) / (0.5/√30)
0.21 / 0.0913
= 2.30
t > t0
2.30 > 1.699
t is more extreme than t0
Hence, reject the null at α = 0.05
Answer:
<h2>(2x^2+5x-3)-(x^2+x-6)</h2>
Step-by-step explanation:
That is the only one I could find. It is a simple matter of simplifying each equation and seeing if it will match the given: x^2+4x+3. Make sure that you properly distribute and watch your signs (-/+)
The region is made up of
• a right triangle with short leg 10 m and hypotenuse 26 m
• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)
• another triangle with two known legs of length 20 m and 26 m
Find the height of the right triangle using the Pythagorean theorem. If the height is h, then
(10 m)² + h² = (26 m)² ⇒ h² = 576 m² ⇒ h = 24 m
This height is common to all three shapes.
Now find the area of each shape.
• right triangle:
1/2 × (10 m) × (24 m) = 120 m²
• parallelogram:
(40 m) × (24 m) = 960 m²
• other triangle:
• 1/2 × (20 m) × (24 m) = 240 m²
Then the total area of the shaded region is 1320 m².
Answer:
i think this is the correct answer
Step-by-step explanation:
Simplifying
8x + -7y = 23
Solving
8x + -7y = 23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7y' to each side of the equation.
8x + -7y + 7y = 23 + 7y
Combine like terms: -7y + 7y = 0
8x + 0 = 23 + 7y
8x = 23 + 7y
Divide each side by '8'.
x = 2.875 + 0.875y
Simplifying
x = 2.875 + 0.875y
