Answer:
∠A = 22°
Step-by-step explanation:
Given:

We take inverse of sine to find angle A.
So,
°
22.23° rounded to nearest whole degree is 22°.
∴
°.
Answer:
n=5
Step-by-step explanation:
4 + 7n - 42 = -3
+42 +42
4 + 7n = 39
-4 -4
7n = 35
÷7 ÷7
n = 5
Answer:
Q7) Obtuse
Q8) Obtuse
Step-by-step explanation:
Answer:
critical value = 1.645
The 90% confidence interval = ( -22.62, -17.58)
Step-by-step explanation:
Given that:
the sample size
= 178
the sample size
= 226
the sample mean
= 54.4
the sample mean
= 74.5
population standard deviation
= 18.58
population standard deviation
= 9.52
level of significance ∝ = 1 - 0.90 = 0.10
The critical value for
is 1.645
For the construction of our confidence interval, we use 90% since that is used to find the critical value.
∴
The margin of error = 



2.52
The lower limit = 
= ( 54.4-74.5) - (2.52)
= -20.1 - 2.52
= -22.62
The upper limit = 
= ( 54.4-74.5) + (2.52)
= -20.1 + 2.52
= -17.58
The 90% confidence interval = ( -22.62, -17.58)
Answer:
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Step-by-step explanation:
Solution: 15/2 = 7.5
7/2 = 3.5
The smaller number = 7.5-3.5 or 4, and the larger number is 7.5+3.5 or 11. Answer.