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OLga [1]
3 years ago
14

Easy! 1. Change 7 1/2 to a top heavy fraction. 2. Change 3 2/3 to a top heavy fraction

Mathematics
1 answer:
madreJ [45]3 years ago
6 0
7 1/2 = 15/2
Multiply 7 and 2, then add 1 = 15
Keep the denominator

3 2/3 = 11/3
Multiply 3 and 3, then add 2 = 11
Keep the denominator
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A recent poll of 120 randomly selected adults who frequent the local​ farmer's market found that 54 have purchased reusable clot
Olenka [21]

Answer:

95% Confidence interval:  (0.361,0.539)    

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 120

Number of farmers who reusable cloth bags, x = 54

\hat{p} = \dfrac{x}{n} = \dfrac{54}{120} = 0.45

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96

Putting the values, we get:

0.45\pm 1.96(\sqrt{\dfrac{0.45(1-0.45)}{120}}) = 0.45\pm 0.089\\\\=(0.361,0.539)

is the required 95% confidence interval for the proportion of adults who have purchased reusable cloth​ bags.

3 0
3 years ago
Which of the following statements must be true about the polynomial function f(x)? If 1+ the sqrt of 13 is a root of f(x), then
son4ous [18]

The correct answer is: if 1 + 13i is a root of f(x), then 1 - 13i is also a root of f(x).


In fact, every polynomial has real and/or complex solutions. If all solutions are real, we're good. But if not all of them are real, then the complex ones come in couple of conjugate solutions. Since 1 + 13i and 1 - 13i are conjugate complex numbers, if one of them is a solution, the other must be as well.

7 0
3 years ago
Read 2 more answers
When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. U
xxMikexx [17]
3                       x
---------= --------- ---------
15                 180

15x=540
-----   ------= 36 students. 
15       15

Steps: Cross multiply to get 15x and 540. Divide both numbers by 15, then you found what x equals, which is the answer. 
4 0
3 years ago
Jacob is cutting strips from a foot-long piece of wood for his woodworking class. He needs a strip of wood that is
sdas [7]

Answer:

8 piece shaded for the first one one

2 piece shaded for the second one

Step-by-step explanation:

You said 9/8 so 8 pieces shaded out of 9

You said 2/4 so 2 piece shaded out of 4

4 0
2 years ago
X sqaured plus 4x plus 20 equlas 12x minus 5
skelet666 [1.2K]

Answer:

x² + 4x + 20 = 12x - 5

x² + 4x - 12x + 20 + 5 = 0

x² - 8x + 25 = 0

Δ = √b² - 4ac

= √(-8)² - 4×1×25

= √64-100

= √(-36)

x ∉ R

3 0
3 years ago
Read 2 more answers
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