Answer:
1)28.8%
2)28.8%
3)43.6%
Step-by-step explanation:
1))Probability of wining both = Probability that first contract is won* Probability that second contract is won = 0.4 * 0.72 = 0.288 = 28.8%
2)Probability of losing = 1 - Probability of winning
Probability that they will lose both contracts = Probability that first contract is lost * Probability that second contract is lost = (1 - 40/100) * (1 - 54/100) = 0.276 = 27.6%
3)Probability that any one is won = 1 - both contracts are won - both contracts are lost = 1 - 0.276 - 0.288 = 0.436 = 43.6%
The irrational numbers among these given are:
The remaining numbers are all rational.
<h3>What are rational and irrational numbers?</h3>
- Rational numbers are numbers that can be represented by fractions, such as terminating decimals.
- Irrational numbers are numbers that cannot be represented by fractions, such as non-terminating decimals and non-exact roots.
The irrational numbers in this problem are:
- Square root of 83, as it is a non-exact root.
- 24π, as π is a non-terminating decimal.
- 90.790170, which is a non-terminating decimal.
- Square root of 109, as it is a non-exact root.
More can be learned about rational and irrational numbers at brainly.com/question/17232771
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Answer:
The conversion factor is upside down. The tsp will not cancel
Step-by-step explanation:
The conversion factor is upside down. The tsp will not cancel
15 tsp * 1 tbsp
--------- = 15/3 tbsp = 5 tbsp
3 tsp
Answer:
Yes
Step-by-step explanation:
6(-1-4)-30(-1) can be simplified into 6(-5)+30 which becomes -30+30, and then 0.
Use algebra for such problems
let, Angle COD = x
Angle KOD = y
Angle KPC = z
Given ,. x - y = 61° ( Equation 1 )
x - z = 53° ( Equation 2 )
Subtract 1st equation from 2nd and you'll get :
z - y = 8° ( Equation 3 )
Now since , x + y + z = 180° ( Equation 4 )
Add Equation 3 to Equation 4 and you'll get
x + 2z = 188° ( Equation 5)
From Equation 2 we know that , x -z = 53°
or, x = 53° + z ( Equation 6 )
Put this value of 'x' in Equation 5 and solve for z. you'll get :
(53° + z) + 2z = 188°
or
3z = 188 - 53 = 135°
solving for z we get
z = 45°
put this value of z in Equation 5
x + ( 2 x 45° ) = 188°
or
x = 188° - 90° = 98°
hence , Angle COD = 98°
