Answer:
1
Step-by-step explanation:
6=3+3p
6-3=3p
3=3p
3/3=p
1=p
Hello from MrBillDoesMath!
Answer:
40
Discussion:
A diagram is always appreciated!
Assuming that
mAOC = mAOB + mBOC =>
108 = (3x + 4) + (8x - 28) => combine common terms
108 = (3x + 8x) + (4 - 28 ) =>
108 = 11x - 24 => add 24 to both sides
132 = 11x =>
x = 132/11 = 12
So mAOB = 3x + 4 = 3(12) + 4 = 36 + 4 = 40
Thank you,
MrB
Answer:minor arc 152 & major arc 298
Step-by-step explanation:
Answer:
Correct option: B
Step-by-step explanation:
The professor can perform a One-mean <em>t</em>-test to determine whether the average score of the students in his class is more than the average score of all the students attending university.
A <em>t</em>-test will be used instead of the <em>z</em>-test because the population standard deviation is not provided instead it is estimated by the sample standard deviation.
The hypothesis for this test can be defined as follows:
<em>H₀</em>: The average score of the students in his class is not more then the entire university, i.e. <em>μ ≤ 35</em>.
<em>Hₐ</em>: The average score of the students in his class is more then the entire university, i.e. <em>μ > 35</em>.
Given:
![\bar x=40\\SE_{\bar x}=1.63](https://tex.z-dn.net/?f=%5Cbar%20x%3D40%5C%5CSE_%7B%5Cbar%20x%7D%3D1.63)
The test statistic is:
![t=\frac{\bar x-\mu}{SE_{\bar x}}=\frac{40-35}{1.63}=3.0674\approx3.07](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%20x-%5Cmu%7D%7BSE_%7B%5Cbar%20x%7D%7D%3D%5Cfrac%7B40-35%7D%7B1.63%7D%3D3.0674%5Capprox3.07)
Thus, the correct option is (B).
Answer:
The area of the rectangle = 15√2 in²
Step-by-step explanation:
What is the area of a rectangle with a length of 3in
and a width of 5√2.
……………………………………………
FORMULA :
area of a rectangle = length × width
===============================
Then
The area of the rectangle = 3 × 5√2 = 15√2