Answer:
[-5,4)
Step-by-step explanation:
Aidan just made one tiny mistake. They used a parenthese at the front which would mean that the -5 is not included in the interval. But the closed, colored-in dot on the graph means that the -5 IS supposed to be included. So the proper symbol to start the interval would be the square bracket to indicate the -5 is included. So it should be [-5, 4)
Calculate for the mean/ average of the given numbers:
μ = (1 + 2 + 3 + 4 + 5) / 5 = 3
Then, we calculate for the summation of the squares of differences of these numbers from the mean, S
S = (1 - 3)² + (2 - 3)² + (3 - 3)² + (4 - 3)² + (5 - 3)²
S = 10
Divide this summation by the number of items and take the square root of the result to get the standard deviation.
SD = sqrt (10 / 5) = sqrt 2
SD = 1.41
Thus, the standard deviation of the given is equal to 1.41.
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