Answer:
3. d= 20mm
4. r= 8 in
5. d= 14 mi
6. r= 11 yd
Step-by-step explanation:
Radius is half of diameter.
Example:
What is the diameter of a circle with a radius of 4?
If r = 4, d = 8
Do radius times 2.
Example 2:
What is the radius of a circle with a diameter of 10?
D = 10, so r = 5
Do diameter divided by 2.
Answer:
i)The correct option is D.) 99.74%
ii) The correct option is B.) 68.26%
Step-by-step explanation:
i) P(10≤X≤70) = P( (10−40)/10 ≤Z≤ (70−40
)/10 ) = Pr(−3≤Z≤3)
= 0.9987 - 0.0013 = 0.99734
Therefore the percentage of Jen's monthly phone bills are between $40 and $100 is D.) 99.74%
ii)P(2.1≤X≤3.1) = P( (2.1 − 2.6) /0.5 ≤ Z ≤ (3.1−2.6
)/0.5) = Pr(−1 ≤Z ≤1)
)
= 0.8413 − 0.1587 = 0.6826
Therefore the percentage of students at college have a GPA between 2.1 a,d 3.1 is B.) 68.26%
Answer:
44.1 mm^2
Step-by-step explanation:
The formula for a trapezoid is 1/2(b1 + b2)h
A= 1/2(12.5 + 8.5) 4.2
= 1/2x21x4.2
=44.1
and 
use the second expression to calculate the left-hand side of the first equation:

Add 10 to both sides if this equation to get

and divide both sides by 2

this proves that x = 17, give the two initial equations
There are 52 cards in a deck, half the cards aware red and half the cards are red.
First card being red is 26/52 = 1/2
After the first card is dealt there are 51 cards left and 26 are black so dealing a black card = 26/51
After 2 cards are dealt there are 50 cards left and 25 red ones left. The probability would be 25/50 = 1/2
The probability of all 3 happening = 1/2 x 26/51 x 1/2 = 13/102
Answer: 13/102