Answer:
The angles are 45°, 60° , 75°
Step-by-step explanation:
<h3>
Angle sum property:</h3>
Sum of all the angles of a triangle is 180°.
Equation:
3x + 5x + 4x = 180
Combine like terms,
12x = 180
x = 180/12
3x = 3 *15 = 45°
5x = 5* 15 = 75°
4x = 4 *15 = 60°
X/12=(2 1/3)/5 note that 2 1/3=7/3
x/12=(7/3)/5
x/12=7/15 multiply both sides by 12
x=84/15
x=28/5
x=56/10
x=5.6
Answer:
See explanation
Step-by-step explanation:
Solution:-
- The researcher claims :
" the average annual salary of part-time community college instructors is at least $45,000 "
- We will extract the claim made by the researcher to be the Null hypothesis:
Null Hypothesis : μ ≥ $45,000
- Any statement otherwise, or point of rejection criteria will denote the Alternate hypothesis that disbands the claim that:
" the average annual salary of part-time community college instructors is less than $45,000 " :
Alternate Hypothesis : μ < $45,000
- This type of test with a sample size of n = 25 < 30 and population standard deviation is also not given hints the use t-test statistics and t-critical value reject the claim.
Lower tail - one sample - T-test.
Answers:
- a) Mean = 20.4
- b) New mean = 20
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Explanation:
To get the mean, we add up the scores and divide by 10 (because there are 10 scores at first)
28+13+4+12+32+22+13+22+26+32 = 204
204/10 = 20.4
The mean is 20.4
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For part b), we redo those steps shown above, but tack 16 onto the list. So we'll add up all the values (including that 16 at the end) and divide by 11 this time.
28+13+4+12+32+22+13+22+26+32+16 = 220
220/11 = 20
The new mean is 20.
The new mean is slightly smaller than the old mean. Notice how 16 is smaller than 20.4, so this new score pulls down the mean just a little bit.
