Answer:
5. Profit of Rs 1 per lemon
6. Rs 20
Step-by-step explanation:
5. Buy Rs 60 per 12 lemons = Rs 5 per lemon
Sell Rs 30 per 5 lemons = Rs 6 per lemon
Profit Rs 1 per lemon
6. Sell Rs 2500 per 100 pens = Rs 25 per pen
Profit per pen is 20% = (20/100)25 = 5
Cost price of a pen = 25 - 5 = 20
9514 1404 393
Answer:
Step-by-step explanation:
When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.
There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.
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Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.
Lin will use 4 cups of flour for 6 cups of sugar.
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<em>Alternate solution</em>
The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.
Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar
Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar
Answer:
x=4.0625 cm
Step-by-step explanation:
The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.
Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:
(x+5)^2= 9^2+(x-3)^2
(x^2+10x+25)=81+(x^2-6x+9)
x^2+10x+25=81+x^2-6x+9
16x=65
x=4.0625
Checking:
(4.0625+5)^2=9^2+(4.0625-3)^2
82.1289=82.1289
Answer:
solution below
Step-by-step explanation:
The question says 6 working mother's were selected so <u>n = 6</u><u> </u><u>not</u><u> </u><u>0</u><u>.</u><u>6</u>
We are expected to find
P(X = 0,1,2,3,4,4,6)
1. <u>When x = 0</u>
6C0*(0.34)⁰*(0.66)⁶
= 1 *1* 0.827
= 0.0827
<u>2. When X = 1</u>
6C1*(0.34)¹*(0.66)⁵
= 6 x 0.34 x 0.252
= 0.2555
<u>3. When X = 2</u>
6C2*(0.34)²*(0.66)⁴
= 15 x 0.1156 x 0.1897
= 0.3289
<u>4. When x = 3</u>
6C3*(0.34)³*(0.66)³
20 x 0.039304 x 0.2875
= 0.2599
<u>5. When X = 4</u>
6C4*(0.34)⁴*(0.66)²
= 15 x 0.01336 x 0.4356
= 0.8729
<u>6. When x = 5</u>
6C5*(0.34)⁵*(0.66)¹
= 6 x 0.0045 x 0.66
= 0.01782
<u>7. When x = 6</u>
6C6*(0.34)⁶*(0.66)⁰
1 x 0.0015 x 1
= 0.0015
Answer:
15
Step-by-step explanation: