Answer: 2/5
Step-by-step explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
The, multiply the numerators and denominators and get 12/30, then simply by 6 and get 2/5
Answer:
Binomial Distribution
Step-by-step explanation:
In this case there are only two possible outcomes that is either the processor requires repair or does not require.
In such cases binomial distribution is beneficial to use.
Binomial Distribution is simply the probability of failure or success in an experiment that is repeated multiple times.
for binomial to be used following three conditions are to be used:
1. Fixed number of trails
2. Each trial or observation is independent
3. probability of success is exactly same
Answer:
Step-by-step explanation:
4). a). If the diagonals of a parallelogram are congruent, then it must be a RECTANGLE.
b). If the diagonals of a parallelogram are perpendicular, then it must be a SQUARE.
c). If the diagonals of a parallelogram bisect the angles of the parallelogram, then it must be a RHOMBUS.
d). If the diagonals of a parallelogram are perpendicular and congruent, then it must be a SQUARE.
e). If a parallelogram has four congruent sides, then it must be a SQUARE.
5). Given quadrilateral SELF is a rhombus.
a). All sides of a rhombus are equal,
Therefore, ES = EL = 25
b). Diagonals of a rhombus bisects the opposite angles,
Therefore, m∠ELS = m∠FLS
3x - 2 = 2x + 7
3x - 2x = 7 + 2
x = 9
c). Diagonals of the rhombus bisect the opposite angles, and adjacent angles are supplementary.
m∠ELF = 2(m∠ELS) = 2(2y - 9)
m∠LES = 2(m∠LEF) = 2(3y + 9)
And 2(2y - 9) + 2(3y + 9) = 180
(2y - 9) + (3y + 9) = 90
5y = 90
y = 18
Exponential growth has the form:
F=Ir^t, F=final amount, I=initial amount, r=rate, t=time.
First let's solve for the rate, r, using the points provided...
37325/34560=(Ir^2)/(Ir^1)
r≈1.08
Now find the initial amount...
34560=I(1.08)^1
I=32000 so now we have the entire equation, using x and y...
y=32000(1.08)^x
Answer:
w = 10 cm
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = 
base × height
here base = 6 and height = 8, thus
A = 0.5 × 6 × 8 = 3 × 8 = 24 cm²
The area of the rectangle = 5 × 24 = 120 cm²
area of rectangle = lw ( l is length, w is width )
Here l = 12, thus
120 = 12w ( divide both sides by 12 )
w = 10 cm
