Answer:
Step-by-step explanation:
We have been given that the variables y and x have a proportional relationship, therefore, we can represent the relationship between x and y as: 
, where k is proportionality constant.
Let us substitute x=3 and y=15 in above equation to find the value of k.
Now let us substitute k=5 and y=4 in our proportionality equation to find the corresponding value of x.
Therefore, the value of x will be 0.8, when y equals to 4.
Answer:
68% of exam scores lie within one std. dev. of the mean
Step-by-step explanation:
Because the standard deviation is 100, one standard deviation above the mean comes out to 600. Likewise, one std. dev. below the mean comes out to 400. By the Empirical Rule, 68% of exam scores lie within one std. dev. of the mean.
Right, because it has two even sides for the right and angle and the right is a hypotenuse.
Answer:
v = -8i - 6j
Step-by-step explanation:
The starting point is (9, 9)
The direction of the vector is the direction of the arrowhead.
The i is the horizontal component.
The j is the vertical component.
Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).
Therefore, v = -8i - 6j
Hello!
∠E and the angle measuring 119 degrees (we'll refer to this as ∠A) can be classified as supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees (a straight line). Therefore, we can conclude that sum of ∠E and ∠A is 180 degrees. We can use this information to create the following equation:
∠E + 119 = 180
Now subtract 119 from both sides of the equation:
∠E = 61
We have now proven that ∠E is equal to 61 degrees.
I hope this helps!
