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tamaranim1 [39]
3 years ago
9

Which expressions are equal to 0 when x=-1? Check all that apply.

Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer:

4(x+1)/(4x+5)

4(x+1)/(5-4x)​

4(x-(-1))/(4x+5)

Step-by-step explanation:

The numerators in the fractions must equal to 0, or else the expressions won’t have the result of 0.

4(x+1)

4(-1+1)

4(0)

= 0

4(x-(-1))

4(-1-(-1))

4(-1+1)

4(0)

= 0

The expressions with the numerator as 0 have the result of 0.

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A random sample of 5120 permanent dwellings on an entire reservation showed that 1627 were traditional hogans.
krek1111 [17]

Answer:

a) \hat p=\frac{1627}{5120}=0.3178

b)The 99% confidence interval would be given by (0.301;0.355)

Step-by-step explanation:

1) Notation and definitions

X=1627 number of permanent dwellings on the entire reservation that are traditional hogans.

n=5120 random sample taken

\hat p=\frac{1627}{5120}=0.318 estimated proportion of permanent dwellings on the entire reservation that are traditional hogans.

p true population proportion of permanent dwellings on the entire reservation that are traditional hogans.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

Part a

The point of estimate for p=the proportion of all permanent dwellings on the entire reservation that are traditional hogans is given by:

\hat p=\frac{1627}{5120}=0.3178

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

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

If we replace the values obtained we got:

0.318 - 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.301

0.318 + 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.335

The 99% confidence interval would be given by (0.301;0.355)

8 0
3 years ago
Can someone who is good at math help? I only need 1a
Alborosie

Answer:

The radius would be 12cm

and the height 4

gives u the surface area of 1206cm^3

Step-by-step explanation:

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3 years ago
Hi there!<br><br> Can you help me please? Thanks! <br><br> Please explain
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H=-t^2+95
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Final answer: D
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qwelly [4]

Answer:

2/3 is the constant of proportionality.

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What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?
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