Answer:
The right answer is Option B:
Step-by-step explanation:
In this case we have to perform a hypothesis test on the proportion of the people owning cats.
The claim is that the proportion is significantly different than 905, what means it can be greater or smaller than 90% to reject the null hypothesis. Because of that, the null hypothesis has to state an equality (H0:p=0.9).
The right answer is Option B:
Answer:
45
Step-by-step explanation:
Let the plane speed be x
Let the wind speed be y
x +y= 500.....equation 1
x -y= 410........equation 2
x + y= 500
-
x- y= 410
2x= 90
x= 90/2
x= 45
From equation 1, substitute 45 for x
x + y= 500
45 + y= 500
y = 500-45
x = 455
Hence the speed of the plane is 45
Answer: The volume of the solid is 324 cm³
Step-by-step explanation:
Formula for determining the volume if a cube is s³
Where s represents the length of each side of the cube.
From the information given, s = 6 cm
Volume = 6³ = 216 cm³
The formula for determining the volume of the square base pyramid is expressed as
Volume = Area × height × 1/3
From the information given,
Length of square base = 6 cm
Height = 6 cm
Area of square base = 6² = 36 cm²
Volume of square base pyramid
= 36 × 6 × 1/3 = 108 cm³
The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes
216 + 108 = 324 cm³
Answer:
See explanation
Step-by-step explanation:
To determine whether each of these functions is , we apply these theorems:
- A polynomial is always O(the term containing the highest power of n)
- Any O(x) function is always .
(a)Given the function: f(x)=100x+1000
The highest power of n is 1.
Therefore f(x) is O(x).
Since any O(x) function is always , 100x+1000 is .
The highest power of n is 2.
Therefore the function is .
420x.06=25.20
Sales Tax will be 25.20