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Sergeu [11.5K]
3 years ago
14

What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

9514 1404 393

Answer:

  (c)  -3/4

Step-by-step explanation:

Subtracting a positive number moves you to the left on the number line. Subtracting a negative number moves you in the opposite direction, to the right.

Here, we start at -2 1/2 = -5/2, and we move 1 3/4 = 7/4 to the right from there. Each mark on this number line is 1/4 unit, so we move 7 marks. The results is ...

  -2 1/2 -(-1 3/4) = -5/2 +7/4

  = -10/4 +7/4 = -3/4

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A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of funds' returns shows an averag
Feliz [49]

A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is

A. 0.037773 to 0.202227

B. 3.7773% to 20.2227%

C. 59.98786% to 61.01214%

D. 51.7773% to 68.2227%

E. 10.988% to 13.012%

Answer: E. 10.988% to 13.012%

Step-by-step explanation:

Given;

Mean x= 12%

Standard deviation r = 4%

Number of samples tested n = 60

Confidence interval is 95%

Z' = t(0.025)= 1.96

Confidence interval = x +/- Z'(r/√n)

= 12% +/- 1.96(4%/√60)

= 12% +/- 0.01214%

Confidence interval= (10.988% to 13.012%)

3 0
3 years ago
Graph a parabola whose xxx-intercepts are at x=-3x=−3x, equals, minus, 3 and x=5x=5x, equals, 5 and whose minimum value is y=-4y
DENIUS [597]

Answer:

Vertex: (1, -4)

intercept: (-3, 0)

Step-by-step explanation:

lets be real, you don't care about an explanation you just want the answer.

BUT... the vertex is the Y line and the Intercept is the X line

 

 

 

 

 

 

 

 

 

 

 

 

7 0
3 years ago
How to make a mixed or whole number 7/3
eimsori [14]

Answer:

mixed number: 7/3= 2 1/3

4 0
3 years ago
Read 2 more answers
What number would you add to both sides of x2 + 7x = 4 to complete the square?
Nata [24]

Answer:

12.5

Step-by-step explanation:

(7/2) = 3.5

(3.5)^2 = 12.5

8 0
4 years ago
Solve the system of linear equations. 2x + 6y = -3 2x + 6y = 0 Ο Α (0, 2) infinitely many solutions C (9,7) no solution​
galina1969 [7]

Answer:

Step-by-step explanation:

-3 = 2x+6y

2x+6y = 0

By transitivity, -3 = 0, a contradiction. No solution.

If you graph the lines, you will see they are parallel, therefore never intersect.

6 0
3 years ago
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