Answer:
In order to increase humidity by 49.17 grams per kilogram, the increase in temperature will be 18 degree Celsius approx.
Step-by-step explanation:
Initial humidity = 5.75 g/kg
Final humidity= 49.17 g/kg
Percentage increase in humidity= (49.17-5.75)/5.75 *100= 755.13
Increase in temperature= 755.13/43 = 17.56
Increase in temperature = 18 degree Celsius approx.
Answer:
<em>At least 18 chocolates sold to collect $225</em>
Step-by-step explanation:
<em>~ Let's say x ⇒ the number of chocolates, y ⇒ the number of cookies ~</em>
1. We can see that the number of chocolates/ cookies * the cost of chocolates/cookies = the total cost of chocolates/cookies. Provided this, it would be that 3x and 2.5y would represent the cost of chocolates and cookies.
2. It is given that there was $225 sold from chocolates and cookies, so we can say that 3x + 2.5y = 225 from this assumption.
3. That being said it is also known that the cookies were sold to 60 people, so we can assume that 60 cookies were sold out, 1 were person. With this information we can see that 3x ⇒ 3 * 60 = <em>180 ⇒ cost of cookies sold</em>
4. Now we can substitute this value of 3x into the equation 3x + 2.5y = 225, as such: 3x + 2.5y = 225 ⇒ 180 + 2.5y = 225, <em>and now we can solve for y ~</em>
180 + 2.5y = 225,
2.5y = 225 - 180,
2.5y = 45,
y = 45/2.5,
y = <em>At least 18 chocolates sold to collect $225</em>
Remember that an absolute value is the measure of something's distance from 0 on the number line. A key piece of that idea is that distances cannot be negative.
So, any absolute value set equal to or less than 0 or any negative number cannot have any solution.
Working out way up from the bottom...
That bottom one, is clearly an issue, since you have an absolute value set less than -2.
To decide on the others, you need to get the absolute value by itself.
On the third inequality, you need to divide by -2 to get the abs val by itself. When you do that, you'll end up with |3x-5| ≤ -3/2. That's a problem, so that won't have any solution.
On the second one, you'd start by subtracting 17 from both sides and you'd get |3x-6| > -2. That'll always be true, since an absolute value is always 0 or positive.
And you have the same thing with the first inequality too, that it's already set > a negative, so it's always true.
So, just the last two will not have solutions.
Answer:
$456.45 should be budgeted.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean $440 and standard deviation $10.
This means that 
How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?
This is x for which
P(X > x) = 0.05
So this is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.
$456.45 should be budgeted.
