Answer:
0.50 (still the same)
Step-by-step explanation:
4/5 = 0.80
1/5 + 3/5 = 3/5 + 1/5
Let the amount saving by Sienna and Jacob be x
Sienna has $8 and is saving $3 per week
So the equation will be 3x + 8
Jacob has $6 and is saving $4 per week
So the equation will be 4x + 6
Sienna will have same amount as Jacob, so
3x + 8 = 4x + 6
So the model two will represents the equation that Sienna will have same amount as Jacob.
Answer: he collected 22 quarters and 8 fifty-cent pieces
Step-by-step explanation:
Given;
The total amount of money he is to collect is;
A = 20 - 10.50 = $9.50
Let x represent the number of quarter he collected.
Then the number of fifty-cent pieces he collected will be; 30-x
Therefore we can represent it with the equation below;
0.25x + 0.50(30-x) = 9.50
0.25x + 15 - 0.50x = 9.50
0.25x = 15-9.50
x = (15-9.50)/0.25
x = 5.50/0.25
x = 22
The number of fifty-cent is equal to;
30-x = 30-22 = 8
Therefore, he collected 22 quarters and 8 fifty-cent pieces
Answer:
A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68
Step-by-step explanation:
Consider the provided information.
A random sample of 21 checking accounts at the bank are chosen,
That means n=21
df = n-1
df = 21-1=20
We need to Construct and interpret a 95% confidence interval.
Determine t critical value for 95% confidence interval.
0.95=1-α
α=0.05
The sample size is small and it is a two tailed test.
From the t value table confidence interval is 2.086
An average daily balance is $303 and a standard deviation of $63.
Substitute the respective values.
A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68