Answer:
11/21
Step-by-step explanation:
There are 10 even numbers that lie between 1 and 21 (2,4,6,8,10,12,14,16,18, and 20). These 10 balls, plus the 5-ball equals a total of 11 balls that could get picked. Therefore, the probability of picking one of these balls is 11/21.
Answer:
40 cm
Step-by-step explanation:
Step one:
Given data
Diagonal = 50cm
If the length on one of the sides is 30cm
Then applying Pythagoras theorem we can find the other side as
Step two:
square both sides we have
w= √1600
w= 40 cm
The linear relationship which exists between the change in weight and number of days of hibernation in a hedgedog can be modeled using the equation y = - 0.03 + 0
- Change in weight per day of hibernation = - 0.03
- Change in weight for 115 days = - 3.45 ounces
A linear model can be created using the data in the table given using a regression calculator or excel ;
The linear model obtained in the form y = m + bx is :
- y = - 0.03x + 0
- y = change in weight
- x = number of days of hibernation
- Intercept = 0
- Slope = -0.03
- The slope value of the function gives the change in weight value per number of days of hibernation ; which is -0.03.
- Using the regression equation, substitute, the vlaue of x = 115
- -0.03(115) + 0 = - 3.45
Therefore, the change in weight after 115 days of hibernation is - 3.45 ounces.
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Answer:
The equation would be y = 2x - 4
Step-by-step explanation:
In order to find the equation of the line, we first can express the two sets of data as an ordered pair. The two ordered pairs would be (6, 2) and (9, 8). Now that we have these, we can use the slope formula to find the slope.
m (slope) = (y2 - y1)/(x2 - x1)
m = (8 - 2)/(9 - 6)
m = 6/3
m = 2
Now that we have the slope, we can use either point and point slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = 2(x - 3)
y - 2 = 2x - 6
y = 2x - 4