<h3>Stan drinks 12 ounces of water in 1 hour</h3>
<em><u>Solution:</u></em>
Given that,
Stan drinks 3/4 of a 8 ounce glass of water in 1/2 of an hour
Which means,
Therefore,
6 ounces is drank in 0.5 hour
We have to find the water he drinks in an hour
Let "x" be the water he drinks in 1 hour
Thus we get,
6 ounce = 0.5 hour
x ounces = 1 hour
This forms a proportion and we can solve the sum by cross multiplying
Thus, he drinks 12 ounces of water in 1 hour
Answer:
3 quarters
7 dimes and a nickel
7 dimes and 5 pennies
15 nickles
75 pennies
2 quarters 2 dimes and a nickel
etc.
Step-by-step explanation:
A=43°
B=82°
c=28
1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)
2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°
2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3
2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8
Answer: Option B) C=55°, b=33.8, a=23.3
1/32 because 1/4 is the probability for the first one and then 1/8 for the next one. 4 times 8 = 32 so there is a 1 in 32 chance
<span>I think you wanted to find p̂, or "p-hat". This is simply the proportion of the sample. So:
p̂ = 16/93 ~= 0.172
Hope this helps :)</span>
