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slega [8]
4 years ago
10

Simplify the following polynomial expression??​

Mathematics
1 answer:
Nesterboy [21]4 years ago
7 0

Answer:

B

Step-by-step explanation:

just multiply and add

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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
Suppose that poaching reduces the population of an endangered animal by
Sedbober [7]

Answer:

38.26 years.

Step-by-step explanation:  

We have been given that the population of an endangered animal by  reduces 8​% per year. the current population of the animal is  1700. When the population of this animal falls below  70​, its extinction is inevitable.  

Let us write the model for population of this animal (y) after x years.

Since we know that an exponential decay function is in form: y=a*(1-r)^x, where,

a= Initial value.

r = Rate in decimal form.

Let us convert our given rate in decimal form.

8\%=\frac{8}{100}=0.08

Upon substituting a= 1700 and r = 0.08 in exponential function, we will get the model of animal population as:

y=1700*(1-0.08)^x

y=1700*(0.92)^x

Let us find, when the animal population will face extinction by substituting y=70 in our function.

70=1700*(0.92)^x  

\frac{70}{1700}=\frac{1700*(0.92)^x}{1700}

0.0411764705882353=0.92^x  

Let us take natural log of both sides of our equation.

ln(0.0411764705882353)=ln(0.92^x)

ln(0.0411764705882353)=x*ln(0.92)

-3.1898882879949483163=x*-0.0833816089390511

x=\frac{-3.1898882879949483163}{-0.0833816089390511}

x=38.2564971890460849445284\approx 38.26

Therefore, the population of the animal will face extinction after 38.26 years.

5 0
4 years ago
Branden has 14 baseball cards. He finds 5 more baseball cards write an expression to match the words
BaLLatris [955]
T= 14c+5c t is the total amount of cards and c stands for the cards
7 0
3 years ago
The vertices of a quadrilateral are A(-1, 6), B(-2,4), C(2,2), and D(3,4). Write a paragraph proof to determine whether quadrila
Klio2033 [76]

Answer:

Not good with maths. it's sad really.

8 0
3 years ago
L1 : (1, 14) and (1, 2) L2: (5, -2) and (4, 9) A. Parallel B. Neither C. Perpendicular
Masja [62]

answere is (c)perpendicular

8 0
4 years ago
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