1. Suppose you take a coin and flip it 4 times in a row. After each flip you record whether the coin landed heads or tails. What
1 answer:
Answer:
25%
Step-by-step explanation:
Great question, since a regular coin has two sides one heads and one tails. That gives us a 50% probability of it landing on either side of the coin. Since we would like to know the probability of getting 2 heads in a row, we would need to multiply the probability of the first toss landing on heads with the second toss landing on heads, like so...
So we can see that the probability of us getting two heads in a row is that of \frac{1}{4}[/tex] or 25%.
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The correct answer is: [C]: " 37, 680 mm³ " .
________________________________________________________
Explanation:
________________________________________________________
The formula for the volume, "V" , of a cylinder is:
→ V =
* r² * h ;
→ in which "r = length of radius" ; "h = height" ; ________________________________________________________
{Note that the formula for the volume, "V" , of a cylinder is:
→ " Base area * height " .
________________________________________________________
→ Specifically, for a cylinder, the "Base area" is the area of a "circle", because the base is a circle;
→ and the formula for the "area of a circle = [tex] \pi [/tex] * r² " ;
→ in which "r = length of the radius" .
As such, the formula for the volume, "V" , of a cylinder is:
______________________________________________________
→ Volume = (Base area) * (height) ;
= ( r² ) * h ;
______________________________________________________
→ V = r² h ;
in which: "V = volume {in "cubic units" ; or, write as " units³ " } ;
"r = radius length" ;
"h = height" ;
_____________________________________________________
→ Now, we shall solve for the volume, "V", of the given cylinder in this question/problem:
_____________________________________________________
→ V = r² h ;
in which: "r = radius = ? " ;
→ To find "r" ; We are given the diameter, "d = 40 mm" ;
→ Note that: "r = d/2 = (40 mm) / 2 = 20 mm " ;
{i.e., "the radius is half of the diameter".}.
→ " r = 20 mm " ;
→ " h = height = 30 mm " {given in figure) ;
→ For ; let us use " 3.14 " — which is a commonly used approximation.
→ For this question/problem, none of the answer choices are given "in terms of " ;
→ so we shall use this "numerical value" as an "approximation" ;
_______________________________________________________
Now, let us plug in our known values into the formula;
and calculate to find the volume, "V", of our given cylinder; as follows:
_______________________________________________________
→ V = r² h ;
= (3.14) * (20 mm)² * (30 mm) ;
= (3.14) * (20)² * (mm)² * (30 mm) ;
= (3.14) * (20)² * (30) * (mm³) ;
= (3.14) * (400) * (30) * (mm³) ;
= 37, 680 mm³
__________________________________________________
The volume is: " 37, 680 mm³ " ;
→ which is: Answer choice [C]: " 37, 680 mm³ " .
___________________________________________________
Hope this answer and explanation—albeit lengthy—is of some help to you.
Best wishes!
________________________________________________________
Explanation:
________________________________________________________
The formula for the volume, "V" , of a cylinder is:
→ V =
→ in which "r = length of radius" ; "h = height" ; ________________________________________________________
{Note that the formula for the volume, "V" , of a cylinder is:
→ " Base area * height " .
________________________________________________________
→ Specifically, for a cylinder, the "Base area" is the area of a "circle", because the base is a circle;
→ and the formula for the "area of a circle = [tex] \pi [/tex] * r² " ;
→ in which "r = length of the radius" .
As such, the formula for the volume, "V" , of a cylinder is:
______________________________________________________
→ Volume = (Base area) * (height) ;
= (
______________________________________________________
→ V =
in which: "V = volume {in "cubic units" ; or, write as " units³ " } ;
"r = radius length" ;
"h = height" ;
_____________________________________________________
→ Now, we shall solve for the volume, "V", of the given cylinder in this question/problem:
_____________________________________________________
→ V =
in which: "r = radius = ? " ;
→ To find "r" ; We are given the diameter, "d = 40 mm" ;
→ Note that: "r = d/2 = (40 mm) / 2 = 20 mm " ;
{i.e., "the radius is half of the diameter".}.
→ " r = 20 mm " ;
→ " h = height = 30 mm " {given in figure) ;
→ For
→ For this question/problem, none of the answer choices are given "in terms of
→ so we shall use this "numerical value" as an "approximation" ;
_______________________________________________________
Now, let us plug in our known values into the formula;
and calculate to find the volume, "V", of our given cylinder; as follows:
_______________________________________________________
→ V =
= (3.14) * (20 mm)² * (30 mm) ;
= (3.14) * (20)² * (mm)² * (30 mm) ;
= (3.14) * (20)² * (30) * (mm³) ;
= (3.14) * (400) * (30) * (mm³) ;
= 37, 680 mm³
__________________________________________________
The volume is: " 37, 680 mm³ " ;
→ which is: Answer choice [C]: " 37, 680 mm³ " .
___________________________________________________
Hope this answer and explanation—albeit lengthy—is of some help to you.
Best wishes!