Let
EV----------> <span>expected value
</span>
we know that
EV = (Probability of Winning)*(Value of Winning) + (Probability of Losing)*(Value of Losing)
so
EV=0.04*(200)+0.96*(-14)-----> EV=8+(-13.44)-----> EV=-$5.44
So
she expects to lose $5.44 every time she plays (this is on average)
the answer is
-$5.44
<span>
</span>
The area of a circle with chord length of 3√2cm is 28. 3 cm²
<h3>How to determine the area</h3>
The formula chord length of a circle is expressed as;
Chord Length = 2 × r × sin(c/2)
Where;
- r is the radius
- c is the angle formed by the chord and the circumference of the circle
- Chord length = 3√2
Let's substitute into the formula
3√2 = 2r sin 90/ 2
3√2 = 2r sin 45
3√2 = 2r × 1/ √2
2r = 3√2 ×√2/ 1
2r = 6
Make 'r' the subject
r = 6/2
r = 3cm
The formula for area of a circle is expressed as;
Area = πr²
Area = 3.142 × (3)²
Area = 3. 142 × 9
Area = 28. 3 cm²
Thus, the area of a circle with chord length of 3√2cm is 28. 3 cm²
Learn more about area here:
brainly.com/question/22972014
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Answer:
$2.4
Step-by-step explanation:
12×20/100
240/100
2.4
First question.We will build up the 3-dimensional object from the dimensions shown in the view above. In doing this, the object is as shown in figure 1. So, we need to find the volume of this object. Let's cut off this object into two objects, so in doing this we can find the whole volume as the sum of the volume in green plus the volume in red (both are cubes), so:
So the answer is G.
Second questionThe answer is D. Let's analyze it:
Given that r represents the radius of the pizza and n the number of slices, so if we substitute r in this equation, then the values for n are:
These are the values of n shown in the table above.
Givens
x + y = 3
x =6 - 4y
Solution
Use the top equation to substitute for x in the second equation.
x = 3 - y
Put this result into the second given equation and solve for y
3 - y = 6 - 4y Add 4y to both sides.
3 - y + 4y = 6 Combine on the left
3 + 3y = 6 Subtract 3 from both sides
3 - 3 + 3y = 6 - 3 Combine
3y = 3 Divide by 3
3y/3 = 3/3 Combine
y = 1
=========================
x + y = 3 but y = 1
x + 1 = 3 Subtract 1 from both sides.
x + 1 - 1 =3 - 1
x = 2
Answer
x = 2
y = 1