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3 years ago

Solve for b. r=9(b+1)

Mathematics

1 answer:

telo118 [61]3 years ago

4 0

Answer:

b=r-9/9

Step-by-step explanation:

First you do the distributive property...

r=9b+9

then you subtract the 9

r-9=9b

then you divide the 9

r-9/9=b

and because of the symetry property you can flip it...

b=r-9/9

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Determine whether f(x)=-4(x+3)^2-5 has a maximum or a minimum value, then find that value

Leto [7]

Answer:

Yes it has

Step-by-step explanation:

From my perspective.........

f(x) = -4(x + 3)² - 5

f(x) = -4(x + 3)(x + 3) - 5

f(x) = -4(x² + 6x + 9) - 5

f(x) = -4x² - 24x - 36 - 5

f(x) = -4x² - 24x - 41

Dy/dx = -8x - 24

At minimum Dy/dx = 0

-8x - 24 = 0

-8x = 24

x = 24/-8

x = -3

At minimum

y = -4x² - 24x - 41

y = -4(-3)² - 24(-3) - 41

y = -4(9) + 72 - 41

y = -36 + 72 - 41

y = 36 - 41

y = -5

5 0

3 years ago

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 : $0.501\leq p$

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3 years ago

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Convert to a fraction show your work 0.56

e-lub [12.9K]

Answer:

14/25

Step-by-step explanation:

14 divided by 25 is .56

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3 years ago

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Approximate the value 36 divided by pi

Rom4ik [11]

36/3.14 gives us approximately 11.465

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