Answer:
Joseph's bill was $9.6.
Step-by-step explanation:
Given:
Number of cold drinks = 4
Number of subway sandwiches = 7
Total cost of cold drinks and sandwiches = $21.60
The sandwiches cost twice as much as the cold drinks
To Find:
How much was Joseph's bill = ?
Solution:
Let the cost of one cold drink be x
The cost of sandwich be y
The sandwiches cost twice as much as the cold drinks
then
y = 2x--------------------------------------(1)
Now the total amount can be represented as
4x+7y =21.60-----------------------------(2)
Substituting (1) in (2)
4x+7(2x) =21.60
4x+14x =21.60
18x =21.60
x = 1.2--------------------------------------(3)
The cost of one cold drink is $1.2
On substituting (3) in(1)
y = 2(1.2)
y = 2.4
The cost of one sandwich is $2.4
Now ,Joseph and his date had two cold drinks and three Subway sandwiches. So Joseph bill will be
=>
=>
=>(2.4) + (7.2)
= 9.6
Using the hypergeometric distribution, there is a 0.4894 = 48.94% probability of selecting none of the correct six integers in a lottery.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
For this problem, we want to take 6 numbers from a set of 56, hence the values of the parameters are:
N = 56, k = 6, n = 6.
The probability of selecting none of the correct six integers in a lottery is of P(X = 0), hence:
0.4894 = 48.94% probability of selecting none of the correct six integers in a lottery.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
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question 1: 36x25
Answer: B. 900 square yards
Question 2: 231
question 3: 309,058,304
Answer: 176400
Step-by-step explanation: