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Shtirlitz [24]
2 years ago
13

Divide 32x4 − 12x2 + 7x by 2x.

Mathematics
1 answer:
Katen [24]2 years ago
4 0
(32x⁴ - 12x² + 7x) / 2x

32x⁴/2x - 12x²/2x + 7x/2x

16x³ - 6x + 7/2
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Of 560 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared
frutty [35]

Answer:

a) (0.5256,0.5944)  

c) Criticism is invalid

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 560

Proportion of mislabeled = 56%

\hat{p} = 0.56

a) 90% Confidence interval:

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

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.64

Putting the values, we get:

0.56\pm 1.64(\sqrt{\dfrac{0.56(1-0.56)}{560}}) = 0.56\pm 0.0344\\\\=(0.5256,0.5944)

b) Interpretation of confidence interval:

We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.

c) Validity of criticism

Conditions for validity:

np > 10\\n(1-p)>10

Verification:

560\times 0.56 = 313.6>10\\560(1-0.56) = 246.4>10

Both the conditions are satisfied. This, the criticism is invalid.

8 0
2 years ago
If CDEF ≅ MNPQ, then ≅ DE ≅
Yanka [14]
The answer is A.NP.
5 0
2 years ago
Read 2 more answers
Felicia wanted to find the number of boys in the school band if 30% of the 50 students are boys. Is her answer correct? Explain
docker41 [41]

Answer:

Creo que con 15

Step-by-step explanation:

50 -------> 100%

X ---------> 30%

X = (50*30)/100

X= 15 boys

4 0
2 years ago
Read 2 more answers
Solve for x in the equation ]x^{2} - 12x + 59 = 0
Vedmedyk [2.9K]

Step-by-step explanation:

x^{2} - 12x + 59 = 0

Given equaiton is in the form of ax^2 +bx+c=0

we apply quadratic formula to solve for x

x= \frac{-b+-\sqrt{b^2-4ac} }{2a}

a= 1  b = -12  and c= 59

x= \frac{12+-\sqrt{(-12)^2-4(1)(59)}}{2(1)}

x= \frac{12+-\sqrt{92}}{2}

x= \frac{12+-2\sqrt{23}}{2}

Divide the 12 and square root terms by 2

x=6+-\sqrt{23}

so x=6+\sqrt{23}    and    x=6-\sqrt{23}




8 0
2 years ago
Read 2 more answers
Assume 6 in every 2000 students at the local community college have to quit due to serious health issues. An insurance company o
Alexus [3.1K]
Given:

6 out of 2000 students quit community college due to serious health issues.
$10,000 insurance company offer
$60 per year

Based on the data, there are 6 students who will be given the $10,000 insurance per year. So they need

6 * 10,000 = $60,000 to make a break-even on their insurance offer

If a student pays $60 per year, they should have

$60,000 / $60 = 1,000 students who will pay per year to reach the break-even mark of their investment. If the number of students will exceed 1,000, the company will begin to earn. 
7 0
2 years ago
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