30+20+50 = 100 ml total. 20 ml is orange juice.
So, 30/100 reduce by dividing top and bottom by 30 gives
3/10 is the proportion of orange juice in the fruit cocktail.
Hope this helps! :)
Answer:
i) There are 40320 possible orders
ii) There are 336 possible orders for the first 3 positions.
Step-by-step explanation:
Given: The number of finalists = 8
The number of boys = 3
The number of girls = 5
To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!
The number of possible orders = 8!
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
= 40320
ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.
nPr =
Here n = 8 and r = 3
Plug in n =8 and r = 3 in the above formula, we get
8P3 = 
= 
= 6.7.8
= 336
So there are 336 possible orders for the first 3 positions.
Answer: 250 students.
Step-by-step explanation:
Let x students in 6th grade either purchased their lunch or brought their lunch from home on Monday.
According to the question,
24% of the students purchased their lunch.
⇒ (100-24)% of the student brought their lunch from home.
⇒ 76 % of the student brought their lunch from home.
But, Again according to the question,
190 students brought their lunch from home.
⇒ 76 % of x = 190
⇒ x = 250
Therefore, there are total 25 students in the 6th grade.
Answer:
A: x = 0
B: x = All real numbers
Step-by-step explanation:
A.
Any number to the power of (0) equals one. This applies true for the given situation; one is given an expression which is as follows;

Simplifying that will result in;

As stated above, any number to the power of (0) equals (1), thus (x) must equal (0) for this equation to hold true.

B.
As stated in part (A), any number to the power (0) equals (1). Therefore, when given the following expression;

One can simplify that;

However, (1) to any degree still equals (1). Thus, (x) can be any value, and the equation will still hold true.

Answer:
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Step-by-step explanation:
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