Answer:
The value of test statistic is -4.1247
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $3.26 a gallon
Sample mean, = $3.19 a gallon
Sample size, n = 32
Sample standard deviation, σ = $0.096
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Thus, the value of test statistic is -4.1247
25% of 80
25/100 or 1/4 x 80 = 20
So $20 were spent on shorts, then $60 were left over.
65% of 60 on sandals.
so 65/100 x 60 = 39
So we can see that the sandals cost $39.
Answer:
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Step-by-step explanation:
The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.
Correct equation
Sum = addition (+)
two-thirds = 2/3
The tree's age = a
10 + 2/3a = 50
2/3a = 50 - 10
2/3a = 40
a = 40 ÷ 2/3
= 40 × 3/2
= 60
a = 60 years
Javier writes the equation
(10 + two-thirds) a = 50
(10 + 2/3)a = 50
(30+2/3)a = 50
32/3a = 50
a = 50 ÷ 32/3
= 50 × 3/32
= 150/32
a = 150/32
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Answer:
Step-by-step explanation:
1. By definition, the associative property of addition is:
This property says that you can group the numbers in different ways and you will obtain the same result.
2. Therefore, if you have the following expression:
You apply the Asociative property of addition by regrouping the numbers as following:
3. Then, you can conclude that the correct option is B.