Write an equation perpendicular to the line 6x+12y=24 and passing through (4,0)

the same 4 friends buy tickets for two shows on consecutive nights. they use a coupon for $5 off each ticket. they pay a total o

Westkost [7]

Answer:

416 i guess

Step-by-step explanation:

6 0

3 years ago

A hotel manager believes that 27% of the hotel rooms are booked. If the manager is correct, what is the probability that the pro

AlladinOne [14]

Answer:

The probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% is 0.9946.

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:

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

The information provided here is:

p = 0.27

n = 423

As n = 423 > 30, the sampling distribution of sample proportion can be approximated by the Normal distribution.

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

$\mu_{\hat p}=p=0.27\\\\\sigma_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}=\sqrt{\frac{0.27\times(1-0.27)}{423}}=0.0216$

Compute the probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% as follows:

$P(|\hat p-p|$

$=P(0.27-0.06$

*Use a z-table.

Thus, the probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% is 0.9946.

6 0

3 years ago

What is the answer to 5 x 5/8

Alex_Xolod [135]

5/8= .625 * 5= 3.125

3 0

4 years ago

Read 2 more answers

8th grade Gifited math class 100 Points

Tema [17]

Answer:

10

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The owners of Shaving Ice are concerned that many of their customers are starting to purchase their icy treats from Cold as Ice

harkovskaia [24]

Answer:

The correct option is;

$4\pm 2.63}\sqrt{\frac{3.2^{2}}{100}+\frac{2.1^{2}}{100}}$

Step-by-step explanation:

Here we have the formula for the confidence interval of the difference of two means where the population standard deviation is unknown based on the sample mean and sample standard deviation is given as follows;

$\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}$

Where:

$\bar{x}_{1}$ = Mean of the first sample = 22 grams

$\bar{x}_{2}$ = Mean of the second sample = 18 grams

s₁ = Sample standard deviation of the first sample = 3.2 grams

s₂ = Sample standard deviation of the second sample = 2.1 grams

n₁ = Sample size of the first sample = 100

n₂ = Sample size of the second sample = 100

$t_{\alpha /2}$ = t value obtained from tables at 99% confidence level and 100 degrees of freedom = 2.626 = 2.63

Therefore, plugging in the values, we have;

$\left (22- 18 \right )\pm 2.63}\sqrt{\frac{3.2^{2}}{100}+\frac{2.1^{2}}{100}} = 4\pm 2.63}\sqrt{\frac{3.2^{2}}{100}+\frac{2.1^{2}}{100}}$

Therefore, the correct option is $4\pm 2.63}\sqrt{\frac{3.2^{2}}{100}+\frac{2.1^{2}}{100}}$ .

4 0

3 years ago