-√6 (2 + √2)
-(2√6 + 2√3)
-2√6 + 2√3 <<< the answer.
hope that helps, God bless!
Answer:
Probability that Caroline buys fruit, a CD or both is 0.76.
Step-by-step explanation:
Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.
Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.
Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.
Required probability P(AB + ABc + AcB ) = P(AB) + P(ABc) + P(AcB) = 1- P(AcBc) = 1 - 0.24 = 0.76.
Answer:
Construction of hypothesis
H₀ : p = 0.70
H₁ : p ≠ 0.70
Step-by-step explanation:
A the given statement does not give how much the goal was
lets suppose "getting rich" was an important personal goal than the proportion was 70 %
suppose that we believe that proportion has changed then construction of hypothesis for this H₀ for null hypothesis and H₁ is alternative hypothesis
Construction of hypothesis
H₀ : p = 0.70
H₁ : p ≠ 0.70
So construction of hypothesis state null and alternative hypothesis.
Answer:
x = 15, y = 50
Step-by-step explanation:
8x + 12 and 2x + 18 are same- side interior angles and sum to 180° , then
2x + 18 + 8x + 12 = 180
10x + 30 = 180 ( subtract 30 from both sides )
10x = 150 ( divide both sides by 10 )
x = 15
Then
8x + 12 = 8(15) + 12 = 120 + 12 = 132
3y - 18 and 8x + 12 are vertical angles and are congruent, so
3y - 18 = 132 ( add 18 to both sides )
3y = 150 ( divide both sides by 3 )
y = 50
I feel that the best way to solve is by using elimination method. This is what you do.....
3x - 2y = 15
4x - y = 20
Multiply the bottom equation with -2.
3x - 2y = 15
-8x + 2y = -40
Now add both equations.
-5x = -25
Divide.
x = 5
Now plug in your x-value into any one of the original equations.
3(5) - 2y = 15
15 - 2y = 15
Subtract 15 from both sides.
-2y = 0
Divide.
y = 0
So your solution is (5,0).
I hope this helps love! :)