What is the number of real solutions? : 8x^2-11x=-3

A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true

zloy xaker [14]

Answer:

The probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

As the sample size is large, i.e. n = 492 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the normal distribution.

The mean and standard deviation of the sampling distribution of sample proportion are:

$\mu_{\hat p}=p=0.07\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.07(1-0.07)}{492}}=0.012$

Compute the probability that the sample proportion will differ from the population proportion by greater than 0.03 as follows:

$P(|\hat p-p|>0.03)=P(|\frac{\hat p-p}{\sigma_{\hat p}}|>\frac{0.03}{0.012})$

$=P(|Z|>2.61)\\\\=1-P(|Z|\leq 2.61)\\\\=1-P(-2.61\leq Z\leq 2.61)\\\\=1-[P(Z\leq 2.61)-P(Z\leq -2.61)]\\\\=1-0.9955+0.0045\\\\=0.0090$

Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

5 0

3 years ago

Please help ASAP :) this is really easy ino lol

Zanzabum

Known :

Ratio = Greg : Harry = 1 : 3

Greg's money = £8

Asked :

Harry's money = ...?

Answer :

$\: \ \: \: \: \: \: \: \frac{1}{3} = \frac{greg}{harry} \\ \: \: \: \: \: \: \: \: \frac{1}{3} = \frac{8}{harry} \\ harry = \frac{3 \times 8}{1} \\ harry = 24$

So, Harry gets £24

Hope it helpful and useful :)

5 0

3 years ago

A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 fee

Mekhanik [1.2K]

The figure is composed of 2 shapes. A rectangle and a right triangle.

Area of the Rectangle = 600 ft * 200 ft = 120,000 ft²
Area of the right triangle = (600 ft * 450 ft)/2 = 270,000 / 2 = 135,000 ft²

Total area = 120,000 ft² + 135,000 ft² = 260,000 ft²

Area of the house = 45 ft * 38 ft = 1,710 ft²
Area of the woods = 118 ft * 60 ft = 7,080 ft²
Area of the front yard = 78 ft * 40 ft = 3,120 ft²

Area of farmed land = 260,000 - 1,710 - 7,080 - 3,120 = 248,090 ft²

248,090 ft² * 1acre/43,560 ft² = 5.695 acres

7 0

3 years ago

Sam is building a dog kennel. He wants the kennel to be 8 ft long and 4 ft wide. If a scale drawing of the kennels length is 2 i

Ivan

Answer:

the scale factor is 1=2

Step-by-step explanation:

7 0

3 years ago

How is everyone today? Just wanted to make sure everyone is alright

mart [117]

Answer:

Very good actually

Step-by-step explanation:

Because I ate CHICKEN NUGGETIES!!!!!

4 0

3 years ago

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