Answer:
1 and 2
Step-by-step explanation:
Answer:
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 447.0 gram setting.
So, Null hypothesis : 
It is believed that the machine is under filling the bags
So, Alternate hypothesis : 
n = 41
Population standard deviation = 
x = 443
We will use z test since n > 30 and we are given the population standard deviation.
Formula : 


Use z table to find p value
p value = 0.1131
α = 0.02
p value > α
So, we fail to reject null hypothesis.
So, its bag filling machine works correctly at the 447.0 gram setting.
Answer:
The answer is option b 130cm²
Area of a trapezium is 1/2(a + b) × h
where 'a' and 'b' are the parallel sides of the trapezium
h is the height
From the picture above
h is 10cm
'a' and 'b' are 17cm and 9 cm respectively
Area of the trapezium = 1/2 ( 17+9)× 10
= 1/2× 26 × 10
= 13 × 10
= 130cm²
Hope this helps
The coordinates of S would be (4, 4)
In order to find this, we need to know that the value of midpoint (M) points will always be the average of S and T's points. This is because it is the midpoint. Therefore we can use the following formula.
Value of x
(S + T)/2 = M
(S + 0)/2 = 2
S + 0 = 4
S = 4
Then we can do the same for the y values
Value of y
(S + T)/2 = M
(S + 6)/2 = 5
S + 6 = 10
S = 4
Answer:
1 + 3sinA + 3sin²A + sin³A
Step-by-step explanation:
Given
(1 + sinA)(1 + sinA)(1 + sinA) ← expand the last pair using FOIL
= (1 + sinA)(1 + 2sinA + sin²A) ← distribute
= 1 + 2sinA + sin²A + sinA + 2sin²A + sin³A ← collect like terms
= 1 + 3sinA + 3sin²A + sin³A