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Irina-Kira [14]
3 years ago
12

The larger of two numbers is 8 more than three times the smaller number

Mathematics
1 answer:
9966 [12]3 years ago
6 0

Answer:

The equation would be x = 3y + 8 where x is the larger number and y is the smaller one :)

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A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
Kaylis [27]

Answer:

A.

mean = 724.2

Median = 715

Mode = 768

B.

Range = 85

Standard deviation = 29.30

C.

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

A.

1. Mean = 18105/25

= 724.2

2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

B.

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

= √20604/25-1

=√858.5

= 29.30

Please check attachment for the full calculation of the standard deviation

C.

Interval

[Mean - 2(sd), mean + 2(sd)]

= [724.2-2x29.3, 724.2+2x29.3]

=[665.6, 782.8]

4 0
2 years ago
What would you expect the nominal rate of interest to be if the real rate is 4.4 percent and the expected inflation rate is 7.5
ANTONII [103]

Answer:

Nominal Interest rate=11.9%

Step-by-step explanations:

The Fisher effect is a theory propounded by an economist named Irving Fisher.

Fisher's equation shows the relationship between real Interest rate, expected inflation rate and nominal Interest rate.

It can be calculated by subtracting the expected inflation rate from the nominal Interest rate to give the real Interest rate.

Real Interest rate= nominal Interest rate - expected inflation rate

Given,

Real Interest rate= 4.4%=0.044

Expected inflation rate=7.5%=0.075

Nominal Interest rate=?

Therefore,

Real Interest rate=nominal Interest rate - expected inflation rate

Nominal Interest rate=Real Interest rate+expected inflation rate

Nominal Interest rate=0.044+0.075

Nominal Interest rate=0.119

Nominal Interest rate=11.9%

5 0
3 years ago
What is the square root of 81
Talja [164]
The square root of 81 is 9
6 0
3 years ago
Read 2 more answers
Solve the following equation. Then place the correct number in the box provided.
solong [7]
X should be 7 after doing all the calculation.
5 0
2 years ago
Calculate the average rate of change for given function, from x=2 to x=7
LenaWriter [7]
"When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h) Therefore, the slope of the secant line between any two points on this function is 2x + h."
8 0
3 years ago
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