Find the values ofx and y.

A pair of pants with a marked price of 35.00 has a discount of 20%. how much is the discount

Marianna [84]

The discount is $7.00

8 0

3 years ago

In a recent poll of 760 homeowners in the United States, one in five homeowners reports having a home equity loan that or she is

Mkey [24]

Answer:

The 90% confidence interval for the proportion of all homeowners in the United States that hold a home equity loan is (0.176, 0.224)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 760, \pi = \frac{1}{5} = 0.2$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.645\sqrt{\frac{0.2*0.8}{760}} = 0.176$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.645\sqrt{\frac{0.2*0.8}{760}} = 0.224$

The 90% confidence interval for the proportion of all homeowners in the United States that hold a home equity loan is (0.176, 0.224)

5 0

3 years ago

Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this w

Lerok [7]

Answer:

153 batches

Step-by-step explanation:

4 0

3 years ago

A pet supply store sells a 20-pound bag of dog food $23.44.Find the unit price.

satela [25.4K]

Answer:

1.172 dollars per pound

Step-by-step explanation:

Given : A pet supply store sells a 20-pound bag of dog food $23.44.

To Find :Find the unit price.

Solution :

Cost of 20-pound bag of food = $23.44

So, Cost of 1-pound bag of food = $\frac{23.44}{20}$

= $1.172$

For unit price we should divide the cost by no. of pounds

So, the error is you have divided the no. of pounds by cost

Hence the unit price is 1.172 dollars per pound

7 0

4 years ago

Find the APY corresponding to the following nominal rate. 2% compounded quarterly The APY is ____%. (Type an integer or a dec

FrozenT [24]

Answer:

2.02%.

Step-by-step explanation:

We are asked to find the Annual Percentage Yield (APY) for the nominal rate of 2% compounded quarterly.

We will use APY formula to solve our given problem.

$APY=(1+\frac{r}{n})^n-1$ , where,

r = Stated annual interest rate in decimal form,

n = Number of times interest is compounded per year.

$2\%=\frac{2}{100}=0.02$

Compounded quarterly means that the value of n is 4.

$APY=(1+\frac{0.02}{4})^4-1$

$APY=(1+0.005)^4-1$

$APY=(1.005)^4-1$

$APY=1.020150500625-1$

$APY=0.020150500625$

Let us convert 0.020150500625 to percent as:

$0.020150500625\times 100\%=2.0150500625\%\approx 2.02\%$

Therefore, the required APY would be 2.02%.

$APY\approx 0.020150500625$

8 0

3 years ago