Answer:
the annual rate of inflation r is 0.023
Step-by-step explanation:
Given by the expression:

The average price of a gallon of milk increased from $0.36 in 1913 to $3.53 in 2013.
Let 

n = 2013 - 1913 = 100
replacing our values into the given equation; then the annual rate of inflation r is as follows:

r = 0.023
Hence, the annual rate of inflation r is 0.023
Given: A circle with centre O; PA and PB are two tangents to the circle drawn from an external point P.
To prove: PA = PB
Construction: Join OA, OB, and OP.
It is known that a tangent at any point of a circle is perpendicular to the radius through the point of contact.
OA⊥PA
OB⊥PB
In △OPA and △OPB
∠OPA=∠OPB (Using (1))
OA=OB (Radii of the same circle)
OP=OP (Common side)
Therefor △OPA≅△OPB (RHS congruency criterion)
PA=PB
(Corresponding parts of congruent triangles are equal)
Thus, it is proved that the lengths of the two tangents drawn from an external point to a circle are equal.
The length of tangents drawn from any external point are equal.
So statement is correct
Answer: 0.0062
Step-by-step explanation:
Given : The weight of trucks traveling on a particular section of I-475 have a population mean of
tons and a population standard deviation of
tons.
Sample size : n=49
Let x be the random variable that represents the weight of trucks .
z-score : 
For x= 14.3 tons

Now, the probability a state highway inspector could select a sample of 49 trucks and find the sample mean to be 14.3 tons or less will be :-

Hence, the probability a state highway inspector could select a sample of 49 trucks and find the sample mean to be 14.3 tons or less =0.0062
Let the amount of carbohydrates in chicken sandwich be x
The amount of carbohydrates in salad will be 2x + 10
(x ) + ( 2x + 10) = 100
x + 2x + 10 = 100
x + 2x = 100 - 10
3x = 90
x = 90 / 3
x = 30
Therefore chicken sandwich has 30 grams of carbohydrates.
Salad will have:
2 (x) + 10 → 2 (30) + 10 → 60 + 10 = 70
Salad has 70 grams of carbohydrates.
Answer:
The length of the remaining piece of thread is 
Step-by-step explanation:
Given:
A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long.
Now, to find the length of the remaining piece of thread.
Total thread = 
Tailor cuts a piece of thread =
Now, to get the length of the remaining piece of thread by subtracting tailor cuts a piece of thread from the total thread:

Therefore, the length of the remaining piece of thread is 