Answer:
1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1, 914/2, 1371/3
Step-by-step explanation:
3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156
4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get
38/45
5/8 - 2/9 can be simplified to 45/72 - 16/72. Subtract this and you get
29/45
3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24
113/24 or about 4.7
Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example
1x457 = 457/1
2x457 = 914/2
And finally 3x457 = 1371/3
Answer:
34:48
Step-by-step explanation:
adult:child
34:48
simplify: ÷2
17:24
Answer:
Step-by-step explanation:
Given
The above table
Required
The standard deviation
First, calculate the class mid-point. This is the average of the class interval.
The mid-point x is:
So, we have:
Calculate mean
The standard deviation is:
Answer:
The Probability = 0.20
Step-by-step explanation:
From the question stated, the first step to take is to find probability that an employee selected at random will need either eyeglasses or major dental work
Solution
Given
Now,
The exams showed tha the number of employees needed eyeglasses = 8%
Employees that needed major dental work = 15%
Employees that needed both eyeglasses and major dental work =3%
Thus,
The P(needed eyeglasses ) = 8% = 0.08
P(major dental work) = 15% = 0.15
P(eye glasses and major dental work) = 3% = 0.03
The probability that an employee selected at random will need either eyeglasses or major dental work is given as
= P(eye glasses ) + P(major dental work) - P(eyeglasses and major dental work)
= 0.08 + 0.15 - 0.03 = 0.20
Therefore the Probability = 0.20
Evaluate using the discriminant (the part of the quadratic equation under the square root sign) b²-4ac
In your equation, a=1, b=(-2), and c=(-8)...substitute their values into the discriminant:
(-2)²-4(1)(-8)
4+32 = 36
The value is positive, therefore the equation has two real roots.
It's a perfect square (√36=6) so the roots are rational
Answer: two real, rational roots
(If the result was a negative number, the system would have two irrational roots. If the result was zero, the system would have a <em>double root </em>(one value repeated twice - when graphed, the vertex of the parabola falls on the x-axis)∨<em />
