Let the variable f represent the amount of money that each person can spend on food.
We shall start by placing the total amount of dollars you have on the left side of the inequality. This has to be less than or equal to the number of dollars that you and your group of friends spends, because you can't spend more money than you have ;)
Also, on the right side of the inequality, we know that you and your friends spend 3 dollars, because that is how much parking costs. In addition to this, we have admission, which costs 12 dollars per person, and there are 4 people in your group. 12*4=48, which is the total cost of admission for your group. Finally, you need to add the cost of food to this side of the inequality, which is the same for each person in your 4 person group. This can be represented by the expression 4f.
So, if we write this inequality, it would be:
155≤ 3 + 48 + 4f
If we simplify the right side of the inequality, by combining like terms, we get the simplified inequality:
155 ≤ 51 + 4f
To further simplify this inequality, we must keep all of the integers on the left side, in attempt to get the variable alone on the right side. To do this, we must subtract 51 from both sides of the inequality, to get:
104 ≤ 4f
Finally, we must divide both sides of the inequality by 4, because it is the coefficient of f, and that is the variable that we are trying to get alone.
26 ≤ f
This means that you and each of your friends can only spend 26 dollars each on food.
Answer:
If the weight is higher than 5.8886 gr would be considered significantly high
If the weight is lower than 5.6121 gr would be considered significantly low
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where 
and 
And the best way to solve this problem is using the normal standard distribution and the z score given by:
For the case when z =-2 we can do this:
And if we solve for X we got:
And for the other case when Z=2 we have:
And if we solve for X we got:
If the weight is higher than 5.8886 gr would be considered significantly high
If the weight is lower than 5.6121 gr would be considered significantly low
Answer:
check the first two and the last one
Step-by-step explanation:
you use multiplying/dividing and adding/subtraction to get the answer
10x+45x-13 = 11(5x+6)
55x-13 = 11(5x+6) combine like terms
55x-13 = 55x+66 distribute the 11 to the 5x and 6
-13 = 66 cancel out equal terms on both sides
the statement is false meaning there is equation has no solution
Lets denote the numbers x and y:
The sum of two numbers 94 → x + y = 94
Their difference is 12 → x - y = 12
We have:
x + y = 94
x - y = 12
---------------- Add both equations
2x = 106
x = 106/2
x = 53
Using first equation:
x + y = 94
53 + y = 94
y = 94 - 53
y = 41
A/ The numbers are 53 and 41.
