X=price of one jumbo popcorn
y=price of one chocolate chip cookies
$5.00=$5.00(100 cts / $)=500 cts
$6.00=$6.00(100 cts / $)=600 cts
We suggest this system of equations:
x+2y=500
x+4y=600
we solve this system of equations by reduction method.
-(x+2y=500)
x+4y=600
----------------------
2y=100 ⇒ y=100/2=50
x+2y=500
x+2(50)=500
x+100=500
x=500-100
x=400
solution: one chocolate chip cookie cost 50 cts.
Answer:
Angle YXZ = (1/2) sum of the intercepted arcs
Angle YXZ = (1/2) (41 + 63)
Angle YXZ = (1/2) (104)
Anglw YXZ = 52 degrees
Step-by-step explanation:
Answer:
a. 0.48
b. 0.14
c. 0.47
Step-by-step explanation:
Data provided in the question
0 - 2 0.48
3 - 5 0.26
6 - 8 0.12
9- 11 0.09
12- 14 0.05
Based on the above information
a. The probability for fewer than three phobias is
= P( x < 3)
= 0.48
b. The probability for more than eight phobias is
= P( x >8)
= 0.09 + 0.05
= 0.14
c. Probability between 3 and 11 phobias is
= P(3 < x < 11)
= 0.26 + 0.12 + 0.09
= 0.47
Answer:
radius = 13
Step-by-step explanation:
Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.
First let's find the shorter leg.
<u>Equidistant Chords Theorem</u>
Two chords are congruent if they are equidistant from the center.
Chords in the picture are congruent and that means that the distance from the center to each of them is the same!
Let's calculate the distance. But to get the distance we have to find x first.
Since the distances are the same:

Therefore:

Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.
Therefore:

All that is left is the Pythagorean Theorem in the right triangle.
<u>Pythagorean Theorem</u>

Hypotenuse in our case is the radius.
