Answer:
(-
, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 8y = 28 → (1)
3x + 2y = 4 → (2)
Subtracting (2) from (1) term by term will eliminate the x- term
(3x - 3x) + (8y - 2y) = (28 - 4), that is
6y = 24 ( divide both sides by 6 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting into (1)
3x + 8(4) = 28
3x + 32 = 28 ( subtract 32 from both sides )
3x = - 4 ( divide both sides by 3 )
x = - 
Solution is (-
, 4 )
Relative frequency is the number of times that the train is late between the total of journeys, so only multiply 0.15*100 =15 times
Answer:
3/4
Step-by-step explanation:
We want to find the probability that a student has a dog given that they have a cat, this means that the information given from the side that says " does not have a cat " is irrelevant and we only look at the information from the side that says " has a cat "
Probability = favorable outcomes / total # of outcomes
Favorable outcomes = Having a cat and dog , 6 students have both a cat and dog so favorable outcomes = 6
Total # of outcomes = total # of students that have a cat whether they have a dog or not. Total # of tudents that have a cat = 6 + 2 = 8
So probability of having a dog given that they have a cat = 6/8 or 3/4
Best estimate of the area of a triangle = 100
.
Solution:
Given base of the triangle = 23.62 cm
Height of the triangle = 8.33 cm
Area of the triangle = 


Area of the triangle = 98.3773 
Estimation means rounded off to the closest correct answer.
98.3773 rounded off to 100.
Hence, best estimate of the area of a triangle = 100
.