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3 years ago

Solve x2 - 2x + 1 = 0 by using factored form . What solutions do you get

Mathematics

1 answer:

My name is Ann [436]3 years ago

5 0

Answer:

x=3.21 in fraction x=e+1/2

Step-by-step explanation:

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A survey of households in a small town showed that in 850 of 1,200 sampled households, at least one member attended a town meeti

Iteru [2.4K]

Answer:

Hence the confidence interval is ( 0.6745, 0.7422).

Step-by-step explanation:

Now the given are

Sample size = n = 1200

x = 850

Sample proportion is

$\hat{p}=\frac{x}{n}=\frac{850}{1200}=0.7083$

We have to construct 99% confidence interval for the population proportion.

Formula Used:

$(\hat{p}-E , \hat{p}+E)$

Here E is a margin of error.

$E =Zc\times\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

Zc = 2.58

$E =2.58\times\sqrt{\frac{0.7083*(1-0.7083)}{1200}}\\\\E=2.58\times\sqrt{0.000172}=0.0339$

So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)

= ( 0.6745 , 0.7422).

3 0

3 years ago

Suppose cot(theta) = 5/12, where pi < theta < 3pi/2. What is sin(theta)?

trasher [3.6K]

Answer:

- 12 /13

Step-by-step explanation:

Given that:

Cot(θ) = 5 /12 ;

Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ

Hence ;

tan θ = 1 / cot θ

tan θ = 1 ÷ (5 / 12)

tan θ = 1 * 12 /5 = 12/5

Tan θ = opposite / Adjacent = 12 /5

Sin θ = opposite / hypotenus

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √12² + 5²

Hypotenus = √(144 + 25)

Hypotenus = √169

Hypotenus = 13

Hence,

Sin θ = opposite / hypotenus = 12 / 13

pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;

Sin θ = - 12 /13

6 0

3 years ago

Read 2 more answers

The chubby bunny weighs 5 pounds, and it gains 3 pounds per year. The fat cat weighs 19 pounds, and it gains 1 pound per year. W

masya89 [10]

Answer: 7 years

Step-by-step explanation:

The Chubby bunny currently weighs 5 pounds but is increasing by 3 pounds per year. Assuming we wanted to find the weight in a given year, we can assume that given year is x. The expression would be:

= 5 + 3x

The fat cat weighs 19 pounds and gains by 1 pound a year.

Expression is:

= 19 + 1x

Equate the two equations together and find x:

5 + 3x = 19 + 1x

3x - 1x = 19 - 5

2x = 14

x = 14/2

x = 7 years

7 0

3 years ago

Bob Nale is the owner of Nale's Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom

Mnenie [13.5K]

<h2>Answer with explanation:</h2>

As per given , we have

$\ovreline{x}=8.17$

$\sigma=2.2$

n= 64

a) Since , the sample mean is the point estimate for the population mean.

Therefore, the point estimate of the population mean = $\ovreline{x}=8.17$

b) Critical z-value for 99% confidence : $z_{\alpha/2}=2.576$

Confidence interval :

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

$8.17\pm (2.576)\dfrac{2.2}{\sqrt{64}}$

$8.17\pm 0.7084$

$(8.17-0.7084,\ 8.17+0.7084)=(7.4616,\ 8.8784)\approx (7.46,\ 8.88)$

Hence, the 99 percent confidence interval for the population mean is between 7.46 and 8.88.

8 0

3 years ago

What is the sum of the first 12 terms of the geometric series below 1/2+2+8+32+

Georgia [21]

∴ $\frac{1}{2} +2+8+32.......12^{th}term$ =2796202.5

Step-by-step explanation:

First term(a) = $\frac{1}{2}$ common ratio(r) = $\frac{2}{\frac{1}{2} }$ =4

n= 12

$S_{n}=\frac{a(r^n-1)}{(r-1)}$

$S_{12}=\frac{\frac{1}{2}(4^{12}-1) }{4-1}$ =2796202.5

∴ $\frac{1}{2} +2+8+32.......12^{th}term$ =2796202.5

5 0

4 years ago