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Softa [21]
3 years ago
8

10. Seven equally qualified students apply for a scholarship, but only 5 scholarships of equal value can be given:

Mathematics
1 answer:
jeka943 years ago
8 0

Answer:

(a) 21

(b)2520

Step-by-step explanation:

(a)

Using combination formula, nCr where n is the total sample and r is the limitation hence 7 combination 5.

[tex}7C5=\frac {7*6*5*4*3}{5*4*3*2*1}=\frac {2520}{120}=21[/tex]

(b)

If the scholarships are not equal

The number of ways to select the 5 students from 7  we use permutation formula hence

7P5 = 7*6*5*4*3 = 2520

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Evaluate the function
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g (x) = 3x^2 − 2x + 5

Step-by-step explanation:

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3 years ago
What is 8 units to the left of (3, -7)
Gnom [1K]

Answer:

(-5,4)

Step-by-step explanation:

8 0
3 years ago
The data below represent a demand schedule.
ser-zykov [4K]

By using the midpoint approach, the price elasticity of demand between each of the given prices are:

  1. 5.50
  2. 2.25
  3. 1.17
  4. 0.63

<h3>What is the price elasticity of demand?</h3>

The price elasticity of demand measures the responsiveness of the quantity demanded by a consumer with respect to a specific change in price of the product, all things being equal (ceteris paribus).

By using the midpoint approach, the price elasticity of demand between each of the given prices is given by:

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (15 - 5)/[(15 + 5)/2]/(25 - 30)/[(25 + 30)/2]

Price elasticity of demand = 1/-0.1818

Price elasticity of demand = 5.50.

<h3>Part B.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (25 - 15)/[(25 + 15)/2]/(20 - 25)/[(20 + 25)/2]

Price elasticity of demand = 0.5/-0.2222

Price elasticity of demand = 2.25.

<h3>Part C.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (35 - 25)/[(35 + 25)/2]/(15 - 20)/[(15 + 20)/2]

Price elasticity of demand = 0.33/-0.2857

Price elasticity of demand = 1.17.

<h3>Part D.</h3>

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (45 - 35)/[(45 + 35)/2]/(10 - 15)/[(10 + 15)/2]

Price elasticity of demand = 0.25/-0.4

Price elasticity of demand = 0.63.

Read more on price elasticity here: brainly.com/question/24384825

#SPJ1

3 0
2 years ago
A shop keeper has 8 gallons, 3 quarts,
ioda

Answer:

I believe it would be 86 cups left of milk.

Step-by-step explanation:

8 gallons= 128 cups of milk

3 quarts= 12 cups

Plus the 1 cup of milk he had equals 141 of milk in total

Now the customer wants 2 gallons (32 cups of milk), 5 quarts ( 20 cups), and 3 cups which is 55 cups of milk.

Now we minus what the customer bought from what the shop keeper had so:

55-141=86

6 0
3 years ago
Fred bought 7 games on clearance for $104.65. Each game was on sale for the same price. How much did each game cost? (Show your
NISA [10]

Answer:

Each game cost $14.95.

Step-by-step explanation:

104.65 = 7x

104.65/7 = x

14.95 = x

3 0
3 years ago
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