The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.
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Answer:
b
Step-by-step explanation:
the hypotenuse is equal to the square root of 2 times x in a 45 45 90 right triangle
the square root of 2 times the square root of 2 cancels out to equal 2 and 2 times 3 is 6 so the hypotenuse equals 6
Answer:
see the explanation
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x ----> the time in seconds
y ---> the distance in meters
In this problem we have a proportional relationship between the variables x and y
Find the constant of proportionality k

For x=2, y=25 ---> 
For x=4, y=50 ---> 
For x=6, y=75 ---> 
For x=8, y=100 ---> 
so
The value of k is 
In this problem the value of k or slope represent the speed of the train
The linear equation is equal to
or
Answer:
Step-by-step explanation:
Set up null and alternate hypothesis
H0: p =0.05
Ha: p>0.05
(One tailed test at 5% level)
Sample size n =384
Sample proportion p = 46/384 =0.1198
p difference = 0.1198-0.05 =0.0698
Std error = 
Test statistic = 4.23
p value = 0.000012
Since p<0.05, we reject null hypothesis
There is more than 99.95% probability that proportion is more than 0.05
We accept the claim that the risk has increased.
Answer:
the right answer is the third one