Answer: The area of the hexagonal base is 96 square roots of 3.
The hexagon is divided into 6 congruent triangles. All we have to do is find the area of one of these shapes and multiply by 6.
The base of each triangle is 8 because the triangles are equilateral and one side is already given. The height is 4 square roots of 3 because it is a 30/6090 triangle.
To find the area, we multiply 8 x 4 square roots of 3 and divide by 2 to get 16 square roots of 3.
Multiply 16 by 6 and you get 96 square roots of 3.
Answer: Rejecting the mean weight of each cake as 500 gram when H subscript 0 equals 500
Step-by-step explanation:
Given that :
Null hypothesis : H0 =500
Alternative hypothesis : Ha < 500
Type 1 Error: Type 1 error simply occurs when we reject the Null hypothesis when the Null is true. Alternatively, type 11 error occurs when we fail to reject a false null hypothesis.
Hence, in the scenario above, a type 1 error will occur when we reject the mean weight as 500 even though the Null hypothesis is True.
Ok lets see if i can explain this properly. sorry it's long but i had to explain it properly
A) to calculate the final value received at the end of a period of time when the percentage is known we divide the percentage by 100 to give it to us as a decimal ( lets call this "X". this value is then added to 1 to give 1+X.
1+X is then put to the power of the period of time passed. in this case 3. so this gives us 1+X to the power of 3.
the initial value is then multiplied by 1+X to the power of three to give the value of the final answer.
so the equation used is final value = initial value * (1+X)^3
to give us the percentage we rearrange the equation to give us.
<u />x= (cube root of, final value/initial value) -1
= (cube root of, 42830/42000) -1
=0.0065 to two sig figs
as mentioned before to find X we divide the interest rate by 100. so to find the interest rate here we must multiply X by 100
=0.65%
B) 6%/ 100 = 0.06
0.06+1=1.06
1.06^4=1.263 to 3 decimal places
1.263*42000=53046
yes pablo will have 50000 at the end of the 4 years
Answer:
0,7. 1,15. 2,23. 3,31. 4, 39. 5,47
I believe 30 is the answer :)
