Answer: Negative.
Step-by-step explanation:
Given: A furniture manufacturer ships their products to distributors in pairs (so there are two items sent in each box).
The weights of furniture pieces vary significantly, but the manufacturer wants to make sure the weight of each package is about the same.
From this information, the correlation between the weights of the two individual furniture pieces will be negative.
Because there is inverse relation between the weights of the two individual furniture pieces .When the weight of one piece goes up, the weight of the other piece goes down to maintain their package weight same i.e.constant.
Answer 20
Step by Step: None
Answer:
11°
Step-by-step explanation:
If you extend the line XW at a point, say V, it forms a corresponding angle, which which be easier to find ∠X.
First we have to find what is the actual value of the corresponding angle.
180 - 102 = 78 (Angles on a straight line add up to 180°)
So now the 78° is the angle of the corresponding angle. This angle is equal to ∠X. Thus the value of x can be found.
6x + 12 = 78°
Bring 12 to the other side in order to find 'x'. This will make it to -12.
6x = 78 - 12
6x = 66
Now take 6 and put to the other side of the equation. Since 6 was multiplied with x, shifting it to the other side of the equation will make it 'divided upon 6'
x = = 11°
Answer:
12 liters
Step-by-step explanation:
Let the solution with 30% acid solution be x litres
And the solution of with 70% alcohol to be y liters
X = Volume of 30% solution in liters
Y = Volume of 70% solution in liters
For acid solution,
30/100 × x = 0.3x
For alcohol solution,
70/100 × y = 0.7y
Since we need 54% of the combination of the 2 solutions: 54/100 = 0.54
The combination of the 2 solutions must give us 54 solutions combination and that is:
0.3x + 0.7y = 0.54(x+y)___ equation 2
X+y = 20_____ equation 1
solve the system of equations and we have:
From equation 2, x +y = 20
Therefore x = 20 -y
Replace the above in equation 2
0.3(20 - y) + 0.7y = 0.54(20)
6 - 0.3y + 0.7y = 10.8
Collect like terms
0.4y = 4.8
Y = 12 liters and that means 12 liters of 70% alcohol solution
<span>The event definition that corresponds to exactly one outcome of the experiment is that both numbers are 5s.</span>