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11111nata11111 [884]
4 years ago
5

Select all the numbers that are greater than 7.612.

Mathematics
2 answers:
Alchen [17]4 years ago
8 0
F. 7.615 B.7.73 D. 7.62
vichka [17]4 years ago
5 0
B. 7.73
D. 7.62
F. 7.615
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The 2004 presidential election exit polls from the critical state of Ohio provided the following results. There were 2020 respon
lord [1]

Answer: a)  0.490\leq p\leq0.582

b)  0.501\leq p

Step-by-step explanation:

Given : Sample size of respondents in the exit polls  : n= 2020

Number of respondents voted for George Bush = 412

Sample proportion: \hat{p}=\dfrac{412}{768}\approx0.536

a) Critical value for 99% confidence level : z_{\alpha/2}=2.576

Confidence interval for proportion:-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

=0.536\pm (2.576)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536\pm0.046\\\\=(0.490,\ 0.582)

Hence, the 99% confidence interval for the proportion of college graduates in Ohio that voted for George Bush: 0.490\leq p\leq0.582

b) Critical value for 95% confidence level : z_{\alpha/2}=1.96

Lower confidence bound for the proportion :

\hat{p}- z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.536-(1.96)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536-0.035=0.501

Hence,  a 95% lower confidence bound for the proportion of college graduates in Ohio that voted for George Bush : 0.501\leq p

7 0
3 years ago
Read 2 more answers
A store holiday sale has an item marked down by $10 with an additional discount of 25% off the
ValentinkaMS [17]

Answer:

C : $58.36

Step-by-step explanation:

Given:

A store holiday sale has an item marked down by $10.

Discount on new price = 25%

Final price was $36.27.

Question asked:

what was the original ?

Solution:

Let original price = x

New price = x - 10

Original price - marked down amount - discount amount = $36.27

x - 10 -25\% of(x - 10 ) = 36.27\\

x - 10 - \frac{25}{100} (x - 10) = 36.27\\x - 10 - 0.25(x - 10) = 36.27\\x - 10 -0.25x +2.5 = 36.27\\0.75x - 7.5 = 36.27\\

Adding both side by 7.5

0.75x = 43.77\\

Dividing both side by 0.75

x = 58.36

Therefore, the original price was $58.36

5 0
3 years ago
How many packs of DVDs can you buy with 150 dollars if one pack costs 15 dollars ?
erik [133]
10 not including tax
7 0
3 years ago
QUICKKK?!!
Tju [1.3M]

Step-by-step explanation:

the line passing through the points (-7, - 7) and (4,-7).

Slope: (-7+7) /(4+7) = 0/11 = 0

this is a horizontal line

through the points (4,7) and (4, -6).

slope: (-6-7) /(4-4) = -13/0 = oo

this is a vertical line

5 0
3 years ago
The area of a rectangle is represented by the expression 2x2 + 10x + 12. Daniel is convinced that the dimensions of this rectang
maksim [4K]

Answer:

I agree with daniel

Step-by-step explanation:

Given the area of a rectangle expressed as;

A(x) = 2x²+10x+12

On factorizing;

A(x) = 2x²+6x+4x+12

A(x) = 2x(x+3)+4(x+3)

A(x) = (x+3)(2x+4)

since A(x) = l(x)w(x)

Hence the legnth and width of the rectangle are 2x+4 and x+3.

Also A(x) = 2x²+6x+4x+12 can be factorized as;

A(x) = 2x²+4x+6x+12

A(x) = 2x(x+2) + 6(x+2)

A(x) = 2x+6(x+2)

Therefore I agree with Daniel. The factor differs due to the difference in arrangement of 4x and 6x in the expression. Precedence of values affects the final factors

3 0
3 years ago
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