Given that we Jenny wants to equivalent fraction of 45% then convert into reduced fraction and then convert into decimal equivalent.
She has already shown her work. We just need to find the error if any.
to convert any percent value we just divide that number by 100 because percent itself means divide by 100.
Hence first step 45%=45/100 is correct.
Then she needed to convert into reduced fraction. To do that she divided numerator and denominator both by 5 and got 9/20.
step 2 is also correct.
Now she needs to convert into decimal equivalent so she divided 9 by 20 and got 4.5 while the correct answer should be 0.45
Hence she did error when converting fraction form into decimal form.
Answer:
No, not a probability distribution.
Step-by-step explanation:
It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.
Answer:
(p green) 1/3
(p red) = 1/2
Step-by-step explanation:
Add the number of balls together to get the total.
3 + 7 + 5 = 15
Find the probability of choosing green.
(p green) = 5/15
reduce by 5
(p green) 1/3
Since you kept the green ball, there are now a total of 14 balls.
Find the probability of choosing red.
(p red) = 7/14
reduce by 7
(p red) = 1/2
Rewrite the limand as
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = (1 - sin(<em>x</em>)) / (cos²(<em>x</em>) / sin²(<em>x</em>))
… = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / cos²(<em>x</em>)
Recall the Pythagorean identity,
sin²(<em>x</em>) + cos²(<em>x</em>) = 1
Then
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / (1 - sin²(<em>x</em>))
Factorize the denominator; it's a difference of squares, so
1 - sin²(<em>x</em>) = (1 - sin(<em>x</em>)) (1 + sin(<em>x</em>))
Cancel the common factor of 1 - sin(<em>x</em>) in the numerator and denominator:
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = sin²(<em>x</em>) / (1 + sin(<em>x</em>))
Now the limand is continuous at <em>x</em> = <em>π</em>/2, so

It forms an acute angle.
The obtuse angle is greater than 90 degrees but less than180 degrees. So if a bisector is introduced, the resulting angle is acute. An acute is less than 90 degrees.