Answer:
There isn't enough evidence to reject H0
Step-by-step explanation:
Null hypothesis :
H0: μ = 150
H1 : μ > 150
Decision region :
Reject Null if ;
Pvalue < α
Zstatistic = (x - μ) / (s/sqrt(n))
Zstatistic = (158 - 150) / (65/sqrt(85))
Zstatistic = 0.1135
Using the P value calculator from Zstatistic at 90% ; α = 0.10 confidence interval ; one tailed test = 0.128
Pvalue = 0.128
Since ; 0.128 > 0.10
Pvalue > α
We cannot reject H0:
Answer:2.7
Step-by-step explanation:
Answer:
7/9 which is the opposite of 2/9
Step-by-step explanation:
For triangles, all angles total 180°
For quadrilaterals, all angles total 360°
Parallelograms have equal opposite angles, so each adjacent pair is 180°
Hexagons are 720°
3. 180 - (90 + 30) = 180 - 120 = 60°
4. 180 - (45 + 45) = 180 - 90 = 90°
5. 360 - (135 + 70 + 93) = 360 - 298 = 62°
6. 180 - 60 = 120°
7. 180 - (120 + 37) = 180 - 157 = 23°
8. Perfect hexagon: 120°
9. Parallelogram: 70°
10. 360 - (90 + 90 + 67) = 360 - 247 = 113°
Hi,
Here is my work:
Equation;
![\frac{q}{2} \leqslant - 8](https://tex.z-dn.net/?f=%20%5Cfrac%7Bq%7D%7B2%7D%20%5Cleqslant%20-%208)
Multiply both sides of inequality by 2.
![2 \times \frac{q}{2} \leqslant - 2 \times 8](https://tex.z-dn.net/?f=2%20%5Ctimes%20%5Cfrac%7Bq%7D%7B2%7D%20%5Cleqslant%20-%202%20%5Ctimes%208)
Reduce the numbers with greatest common divisor 2.
![q \leqslant - 2 \times 8](https://tex.z-dn.net/?f=q%20%5Cleqslant%20-%202%20%5Ctimes%208)
Multiply the numbers.
![q \leqslant - 16 \: \: \: \: \: \: \: \: \: \: \: \: result](https://tex.z-dn.net/?f=q%20%5Cleqslant%20-%2016%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20%5C%3A%20result)
Hope this helps.
r3t40