Answer:
(5.4582 ; 6.8618)
Step-by-step explanation:
Given the data:
6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5
Sample mean, xbar = Σx / n
n = sample size = 50
ΣX = 308
xbar = 308 / 50 = 6.16
Using a Calculator :
The sample standard deviation, s = 2.469
Confidence interval = xbar ± margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 95% ; df = 50 - 1 = 49
Tcritical = 2.010
Hence,
Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018
Lower boundary : (6.16 - 0.7018) = 5.4582
Upper boundary : (6.16 + 0.7018) = 6.8618
(5.4582 ; 6.8618)
Answer:
Step-by-step explanation:
orginal :$240
new/sale: $180
Percentage of Change:
(V2−V1)|V1|×100
=(180−240)|240|×100
=−60240×100
=−0.25×100
=−25%change
=25%decrease
He needs 420 to buy a new smartphone and accessories.
75-495= 420
420+75= 495
1.
An expression of the form

is called a "compound fraction"
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:

for example,

can be written as:

2.
when we subtract or add a fraction

from an integer k,
we first write k as a fraction with denominator n. We can do this as follows:

for example, if we want to subtract

from 8,
we first write 8 as a fraction with denominator 2:

3.
Thus,

4.
The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:

(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)
5. Answer: D