Answer:
Step-by-step explanation:
75 % of 10 liters
(75/100)*10= 3/4*10=30/4 liters
Removing the 75% of 10 liters
10 -30/4= 10/4=2.5 liters
Answer:
A. Shift down 2 units.
B. Vertically stretch by a factor of 4.
Step-by-step explanation:
Given the function
f(x)=x
If we stretch y vertically by a factor of m, we have: y=m·f (x)
Therefore:
Vertically stretching f(x) by a factor of 4, we have: 4x.
Next, if we take down f(x) by k units we have: y= f(x)-k
Therefore: Taking down 4x by 2 units, we obtain:
g(x)=4x-2
Therefore, Options A and B applies.
In the triangle , Angle A is 51.1 degrees, B is 54.5 degrees , C is 74.4 degrees.
<h3>What is a Triangle ?</h3>
A triangle is defined as a polygon with three sides , three angles and three vertices.
Using the Law of Cosine to solve the Triangle and to determine the value of all the angles
c² = a²+ b² -2abCosC
a = 42 , b=44 , c = 52
52² = 42² + 44² -2 * 42 * 44 cos C
2704 = 1764 + 1936 -3696 cos C
cos C = 0.269
C =74.4 ° (degrees)
Similarly calculating for A and B will give
Angle A is 51.1 degrees
Angle B is 54.5 degrees
To know more about Triangle
brainly.com/question/2773823
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Using the normal distribution, the areas to the left are given as follows:
a) 0.7910.
b) 0.6664.
c) 0.3707.
d) 0.8508.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X, and is also the area to the left of Z.
Hence:
- The area to the left of Z = 0.81 is of 0.7910.
- The area to the left of Z = 0.43 is of 0.6664.
- The area to the left of Z = -0.33 is of 0.3707.
- The area to the left of Z = 1.04 is of 0.8508.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
a=2.65
You just bring over the 1.05 to the 3.7, and just go on from there!
Hope this helps!
