The circumference of the circle is found using the formula C = 2 PI r
Circumference = 2 *PI * 15.5 = 31pi
The angle is 90 degrees, which is 1/4 of a complete circle ( 360 degrees).
The arc length would be 1/4 of the circumference:
Arc length = 31pi / 4 = 7.75PI
Answer:
B. 1/9
Step-by-step explanation:
The positive square root of "x^2 - 4x + 4" is "x - 2". That value is already given to you, 1/3. Just square 1/3 to get 1/9.
Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
5(30 - Y) + 8Y >=300
150 - 5Y + 8Y >= 300
3Y >=150
Y >=50
then X < -20
intersection at (-20, 50)
Answer:
If we reject the null hypothesis based on the evidence, then our conclusion should be Option c.
If we do not reject the null hypothesis based on the evidence, then our conclusion should be Option a.
Step-by-step explanation:
We are given that the FDA wants to set up a hypothesis test to show that the new drug is safe before approving it by assuming it to be unsafe.
So, Null hypothesis,
= New drug is unsafe
Alternate Hypothesis,
= New drug is safe
<em>Now, if we reject the null hypothesis based on the evidence, then our conclusion should be that : </em>
There is sufficient evidence to believe that the new drug is safe because rejecting null hypothesis means that alternate hypothesis is accepted with required evidence.
<em>And If we do not reject the null hypothesis based on the evidence, then our conclusion should be that : </em>
There is insufficient evidence to believe that the new drug is safe because not rejecting null hypothesis means that we are not ready with enough evidence to assume that new drug is safe.
C is the correct answer for m