Simplify by combining like terms: 2x + 3x + 7
2 answers:
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Answer:
The volume of the solid = π²
Step-by-step explanation:
As per the given data of the questions,
The diameter of each disk is
D = 2 sin(x) - 2 cos(x)
So its radius is
R = sin(x) - cos(x).
The area of each disk is
Now,
Integrate from , we get volume:
After integrate without limit we get
Now after putting the limit, we get
V = π²
Hence, the required volume of the solid = π²
Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:
Then the total amount of pure antifreeze in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:
+
--------------------------------------
We substitute the value of B into one of the two equations and solve for A.
Ok the answer is -5 less than 9 which is true lol
Anyways here’s how I got the answer
-5+7+2x-13 less than 9
Combine like terms in this case it’s -5 and 2, and the other is 7 and -13
-5+2= -3
7-13= -6
Ok now that that’s done here’s the next step
-3x-6 less than 9 solve it
-3x-6 < 9
+6< +6
-3x < 15
Now from there you divide then so
-3x/3 cancels out, and 15/-3 = -5
X=-5
And so -5<9 :) hope this helped!! I will also include a picture of my work (please exult messiness lol)
Anyways here’s how I got the answer
-5+7+2x-13 less than 9
Combine like terms in this case it’s -5 and 2, and the other is 7 and -13
-5+2= -3
7-13= -6
Ok now that that’s done here’s the next step
-3x-6 less than 9 solve it
-3x-6 < 9
+6< +6
-3x < 15
Now from there you divide then so
-3x/3 cancels out, and 15/-3 = -5
X=-5
And so -5<9 :) hope this helped!! I will also include a picture of my work (please exult messiness lol)
Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.
10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.
From above
So
The mean is
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.