Answer:
exterior angle = 36°
Step-by-step explanation:
In any polygon
exterior angle + interior angle = 180°
let x be the exterior angle then interior angle is 4x , then
x + 4x = 180
5x = 180 ( divide both sides by 5 )
x = 36
thus exterior angle = 36°
Answer:
b. $2.50
Step-by-step explanation:
Let us take a step by step approach by simplifying each sentence:
Sentence 1: Hector works 12 hours per week at a part-time hours per week at a part-time job
Number of hours worked per week = 12hours
Sentence 2: His original pay rate was $8.00 per hour. but he recently received a raise of x dollars per hour
Pay per hour is 8hr, a raise of x gives 8 + x
Sentence 3: New total wage = 12(8+x)
Sentence 4: Amount earned last week = $126
New total wage = Amount earned last week
12(8 + x ) = 126
96 + 12x = 126
12x = 126 - 96
12x = 30
x = $2.50
Amount of raise is $2.50
Answer:
H0: μd=0 Ha: μd≠0
t= 0.07607
On the basis of this we conclude that the mean weight differs between the two balances.
Step-by-step explanation:
The null and alternative hypotheses as
H0: μd=0 Ha: μd≠0
Significance level is set at ∝= 0.05
The critical region is t ( base alpha by 2 with df=5) ≥ ± 2.571
The test statistic under H0 is
t = d/ sd/ √n
Which has t distribution with n-1 degrees of freedom
Specimen A B d = a - b d²
1 13.76 13.74 0.02 0.004
2 12.47 12.45 0.02 0.004
3 10.09 10.08 0.01 0.001
4 8.91 8.92 -0.01 0.001
5 13.57 13.54 0.03 0.009
<u>6 12.74 12.75 -0.01 0.001</u>
<u>∑ 0.06 0.0173</u>
d`= ∑d/n= 0.006/6= 0.001
sd²= 1/6( 0.0173- 0.006²/6) = 1/6 ( 0.017294) = 0.002882
sd= 0.05368
t= 0.001/ 0.05368/ √6
t= 0.18629/2.449
t= 0.07607
Since the calculated value of t= 0.07607 does not falls in the rejection region we therefore accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the mean weight differs between the two balances.
