Midge baked 6 cookies and 4 brownies. Midge only has enough ingredients to bake at most 25 cookies or brownies total. Let x repr
esent the number of more cookies and y represent the number of more brownies that Midge can bake. Which of the following graphs best represents the relationship between x and y? line joining ordered pair 0, 15 and 7, 8 and the region below this line which lies in the first quadrant is shaded line joining ordered pair 0, 25 and 7, 18 and the region below this line which lies in the first quadrant is shaded line joining ordered pair 10, 0 and 0, 10 and the region below this line which lies in the first quadrant is shaded line joining ordered pair 0, 6 and 4, 0 and the region below this line which lies in the first quadrant is shaded
2 answers:
Given:
baked: 6 <span>cookies and 4 brownies
can bake 25 more either </span><span>cookies or brownies
</span><span>Let x represent the number of more cookies that Midge can bake
Let y represent the number of more brownies that Midge can bake.
cookies = 6 + x
brownies = 4 + y
(6 + x) + (4 +y) </span>≤ 25
10 + x + y ≤ 25
x + y ≤ 25 - 10
x + y ≤<span> 15
y </span>≤ <span>15 - x
</span><span>The following graphs best represents the relationship between x and y is:
</span>
<span>line joining ordered pair 0, 15 and 7, 8 and the region below this line which lies in the first quadrant is shaded</span><span>
</span>
baked: 6 <span>cookies and 4 brownies
can bake 25 more either </span><span>cookies or brownies
</span><span>Let x represent the number of more cookies that Midge can bake
Let y represent the number of more brownies that Midge can bake.
cookies = 6 + x
brownies = 4 + y
(6 + x) + (4 +y) </span>≤ 25
10 + x + y ≤ 25
x + y ≤ 25 - 10
x + y ≤<span> 15
y </span>≤ <span>15 - x
</span><span>The following graphs best represents the relationship between x and y is:
</span>
<span>line joining ordered pair 0, 15 and 7, 8 and the region below this line which lies in the first quadrant is shaded</span><span>
</span>
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The expected value of the game is its average earnings
- The expected value of a round is $2.23
- The expected value when the game is played 755 times is $1683.65
There are 12 cards with a value of 4 or less.
So, the probability of selecting a card with a value of 4 or less is:
The probability of selecting a card with a value more than 4 is the complement of the above probability.
So, we have:
The expected value is then calculated as:
Evaluate
Simplify
Hence, the expected value of a round is $2.23
<h3>The expected value when the game is played 755 times</h3>In (a), we have:
In probability, we have:
So, we have:
Hence, the expected value when the game is played 755 times is $1683.65
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