Answer:
k is 2/3 and y is -1/3 when x is -0.5.
Step-by-step explanation:
The direct variation relationship is y = kx, where k is the const. of var.
Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.
Now, if x = -0.5, y = (2/3)(-1/2) = -1/3
k is 2/3 and y is -1/3 when x is -0.5.
The Solution:
Given:
Required:
Find the standard deviation of the probability distribution.
Step 1:
Find the expected value of the probability distribution.


Step 2:
Find the standard deviation.




Thus, the standard deviation is 1.60
Answer:
1.60
Answer:in first part of equation add 10x and 3x (like terms)
13x-4.5=12x-1.1
move all terms containing x to left side of equation
13x-4.5-12x= -1.1
x-4.5= -1.1
Subtract 4.5 from both sides
x=3.4
Step-by-step explanation:
Answer:
16 oranges
Step-by-step explanation:
The ratio of oranges to apples is 4:3 which means that for every four oranges, there are 3 apples.
Since there are 12 apples in the basket, to find the number of oranges, set up a ratio.
4/3 = x/12 (x represents the number of oranges)
Cross multiply.
48 = 3x
Divide by 3.
x = 16
There are 16 oranges in the basket.
Hope that helps.
1.45 meters is your answer