Russell runs 9/10 mile in 5 minutes. At this rate, how many miles can he run in one minute?
1 answer:
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Answer: B) 4.963±0.019.
Step-by-step explanation:
Confidence interval for population mean ( when population standard deviation is not given) is given by :-
, where = Sample mean
n= Sample size
s= sample standard deviation
t* = critical t-value.
As per given:
n= 50
Degree of freedom = n-1 =49
s= 0.067 lb
For df = 49 and significance level of 0.05 , the critical two-tailed t-value ( from t-distribution table) is 2.010.
Now , substitute all values in the formula , we get
Hence, a 95% confidence interval for the mean weight (in pounds) of the mulch produced by this company is .
Thus , the correct answer is B) 4.963±0.019.
Answer:
AB = 27.2
BC = 33.5
AC = 50.4
∠A = 38°
∠ABC = 112°
Step-by-step explanation:
<u>Trigonometric ratios</u>
where:
is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
The interior angles of a triangle sum to 180°
⇒ ∠A + 52° + 90° = 180°
⇒ ∠A = 180° - 90° - 52°
⇒ ∠A = 38°
⇒ ∠ABC + 38° + 30° = 180°
⇒ ∠ABC = 180° - 38° - 30°
⇒ ∠ABC = 112°
**I have checked the measures using a graphing programme - see attached**
