Answer: The answer is 4 and 32.
Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.
The, according to the given information, we have
Let 'p' represents the number of students who take all the three languages, then
Also,
From here, we get after subtracting equation(c) from (b) that
Therefore,
and from equation (a), we find
Thus,
and
Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.
Answer:
just solve it
Step-by-step explanation:
multiple the numbers together
The value of x is x=2.57338 and x=−0.906718
<h3>What is equation?</h3>
An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
3x²-5x-7=0
Using the discriminant method,
a = 3, b = -5, and c = -7
x= -b± √b²-4ac / 2a
x= 5 ± √25 + 84/ 6
x= 5± √ 109
Hence, x=2.57338 and x=−0.906718
Learn more about this concept here:
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Assuming that the corner of the fence has right angle, the the area that the dog wandered will be given by:
A=θ/360πr²
Where:
θ=360-90=270°
r=49 ft
hence the area will be:
A=270/360×π×49²
A=5657.23 ft²
Thus the dog will wander in the area of 5657.23 ft²
Answer:
The required range is 237.5 to 275.
Step-by-step explanation:
Consider the provided information.
The average cholesterol of the target population is 200 mg and they have a standard deviation of 25 mg.
The the value of μ = 200 and the 
The company wished to test a sample of people who fall between 1.5 and 3 z-scores above the mean.
Let the value of z is 1.5.
Now use the z score formula: 
Substitute the respective values in the above formula.
Now let the value of z is 3.
Substitute the respective values in the z score formula.
Hence, the required range is 237.5 to 275.
