ANSWER

EXPLANATION
We want to evaluate

Use indices to rewrite the expression as:

We know that

So we rewrite the expression to obtain;

This gives us;

This simplifies to


Answer:
25 can.
Step-by-step explanation:
Here is the complete question: You are making juice from concentrate. The directions on the packaging say to mix 1 can of juice with 3 cans of water to make orange juice. How many 12 fluid ounces cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
Given: Ratio to make juice with concentrate:water is 1:3.
As required we need to prepare 200 6 ounce serving of Orange juice.
∴ 
Let there be x ounce of concentrate and 3x ounce of water to make 1200 ounce of orange juice.
Now, 
∴ x= 300 ounce
Next, lets find out how many cans of 12 ounce is required.

∴ 25 cans is required to make 1200 ounce of orange juice.
Answer:
5 and 6 are examples of vertical angles.
Step-by-step explanation:
Vertical angles are two angles on opposite sides of an intersection of two lines. This is exactly what we see in this picture with 5 and 6
HCF of 8 that will go as much as possible to 33
4*8=32 and denominator is 8
33-32=1 which is the numerator
Answer is :
4 1/8
Answer: z score = 0.00714
Step-by-step explanation: the value of test statistics is gotten using the standard normal distribution table.
Z= 2.45 has area to the left (z<2.45) and area to the right (z>2.45).
Level of significance α is the probability of committing a type 1 error. The area under the distribution is known as the rejection region and it is the area towards the right of the distribution.
The table I'm using is towards the left of the distribution.
But z>2.45 + z<2.45 = 1
z> 2.45 = 1 - z<2.45
But z < 2.45 = 0.99286
z > 2.45 = 1 - 0.99286
z >2.45 = 0.00714
Hence the test statistics that would produce the least type 1 error is 0.00714