First set the fractions into improper fractions...
29/9 * 12/7 = 348/63
simplify 116/21
turn back into mixed fractions and you get 5 11/21
PART A:
Solve for the slope by solving change in y over change in x. We have (3-(-5)/(-2-2) = 8/-4=-2
PART B:
Change in to y=mx+b: -5y = -2x-10. Divide all terms by -5: y = 2/5x + 2. The slope is 2/5 and the y-intercept is 2.
PART C:
Remembering from part a that m=change in y/change in x, we have the equation: -4=1-(-9)/0-x. If we simplify, we have -4=10/0-x. If we multiply both sides from 1/10 we have: -2/5 = -x. So, x = 2/5.
PART D:
We can use point-slope form first:
y-5=-7(x+1). Then we solve the equation! y-5 = -7x-7. After adding 5 to both sides, we have the equation: y=-7x-2.
Answer:
0.33696
Step-by-step explanation:
Given that:
Probability of showing up head (p) = 0.6
Number of flips = number of trials = 5
Probability of getting more than 3 heads
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x> 3) = p(4) + p(5)
P(x = 4) = 5C4 * 0.6^4 * 0.4^1 = 0.2592
P(x = 5) = 5C5 * 0.6^5 * 0.4^0 = 0.07776
Hence,
0.2592 + 0.07776
= 0.33696
Answer:
+
= 4 + 4 * 3 = 16 = 
Step-by-step explanation:
The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and
, squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and
being the legs of the right triangle, and 4 being the hypotenuse.
Answer:
Rs 75,000
Step-by-step explanation:
Let the total value of property be x
If one-fifth of that is given to son
property with son = 1/5 of total value of property = 1/5 of x = x/5
If one-third of that is given to daughter
property with daughter = 1/3 of total value of property = 1/3 of x = x/3
remaining property after giving the portions to son and daughter
= total value of property - property with son -property with daughter
= x - x/5 - x/3
taking LCM of 5 and 3 (15)
= (15x - 3x - 5x)/15
= 7x/15
Given that remaining property was given to wife
property with wife = 7x/15
it is given that wife got 35000 Rs
thus,
7x/15 = 35,000
7x = 35,000*15 = 525,000
x = 525,000/7 = 75,000
Thus, total worth of property =Rs 75,000 Answer