Answer:
~62%
Step-by-step explanation:
Let n(A) be the number of students signed up for Algebra II.
Given that n(A) = 298
Let n(B) be the number of students signed up for Chemistry.
Given that n(B) = 328
n(A
B) will be the number of students who have signed up for either one or both of two subjects.
n(A
B) = 386
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<em>Formula for n(A </em>
<em> B):</em>
n(A
B) = n(A) + n(B) - n(A
B)
Where n(A
B) is the number of students signed up for both the courses.
Putting the values in the formula above:
386 = 298 + 328 - n(A
B)
n(A
B) = 240
Formula for Probability of an event E:



Hence, the required probability is ~62%
32 because 32 x 100 = 3,200
Answer:
3.33333333333
or
10
—— = 3.33333
3
Step by step solution :
Step 1 :
Equation at the end of step 1 :
1
(— • 22) - 22
3
Step 2 :
1
Simplify —
3
Equation at the end of step 2 :
1
(— • 22) - 22
3
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
22 22 • 3
22 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
22 - (22 • 3) 10
————————————— = ——
3 3
Final result :
10
—— = 3.33333
3
3R+P
——-
4
Add the P to the other side and divide by 4
Answer:
Step-by-step explanation:
Given that:
- x represents the number of months of ownership; and
- y represents the total paid for the car after ‘x' months.
<u>First Option (Leasing)</u>
250x - y + 4000 = 0
Expressing the equation in the Slope-Intercept Form y=mx+b, we have:
y=250x+4000
<u>Second Option (Financing)</u>
$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
First, we determine the slope of the line joining (0,400) and (10,4400)

We have:
y=400x+b
When y=400, x=0
400=400(0)+b
b=400
Therefore, the Slope-Intercept Form of the second option is:
y=400x+400
<u>Significance</u>
- In the first option, there is a down payment of $4000 and a monthly payment of $250.
- In the second option, there is a down payment of $400 and a monthly payment of $400.
<u>Part B</u>
We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.
<u>i.e </u>
- When x=0, y=$4000 for leasing
- When x=0, y=$400 for financing