61/4 % converted into a decimal is 15.25
Answer:
the null hypothesis would be: p = 70%/0.7
The alternative hypothesis would be: p < 0.7
Step-by-step explanation:
The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.
In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7
The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7
Answer:
This would be the same as an isosceles right triangle. It would be 61ft x (square root of 2) = ~86.3ft
This is rounded of course...
Answer:
A = 20°
AC = 6.6
BC = 2.4
Step-by-step explanation:
Given:
B = 70°
C = right angle = 90°
AB = 7
Required:
A, AC, and BC
Solution:
✔️A = 180 - (90 + 70) (sum of triangle)
A = 20°
✔️Use trigonometric function to find AC:
Refernce angle = 70°
Opp = AC
Hypotenuse = 7
Apply SOH,
sin 70 = Opp/Hyp
sin 70 = AC/7
7 * sin 70 = AC
6.57784835 = AC
AC = 6.6 (nearest tenth)
✔️Use trigonometric function to find Bc:
Refernce angle = 70°
Adj = BC
Hypotenuse = 7
Apply CAH,
cos 70 = Adj/Hyp
cos 70 = BC/7
7 * cos 70 = BC
2.394141 = BC
BC = 2.4 (nearest tenth)
Answer:
There are 49 corrupt senators and 1 honest senator.
Step-by-step explanation:
Freedonia has 50 senators. Each senator is either honest or corrupt. At least one of the Freedonian senators is honest.
As we can see that there are no two senators where both of them are honest. So either there is one senerator who is honest or none.
As given that at least one of the Freedonian senators is honest.
Hence, we can conclude there is one and only one honest senator.
