Please answer asap!!!!!!

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

PLEASE HELP I NEED IT TO PASS THIS CLASS

andreyandreev [35.5K]

Answer:

Angle 5 = 37°

Angle 8 = 143°

Step-by-step explanation:

Angle 2 = Angle 8

Reason : Alternate exterior angles are equal.

Therefore,

Angle 8 = 143°

Angle 5 + Angle 8 = 180°

Reason : Angle 5 & 8 are in a linear pair.

Angle 5 + 143° = 180°

Angle 5 = ( 180 - 143 )°

Angle 5 = 37°

4 0

3 years ago

Please help ASAP (28 points)

algol13

Answer:

5) x = 8

6) z = 49°

Step-by-step explanation:

Hi there !

5)

we have opposite angles =>

5x = 2x + 24

5x - 2x = 24

3x = 24

x = 24 : 3

x = 8

6)

The sum of the three interior angles in a triangle is always 180° !

x = 180° - (28° + 39°)

= 180° - 67°

= 113°

x ; y = supplementary angles =>

x + y = 180° =>

y = 180° - x

= 180° - 113°

= 67°

z = 180° - (64° + 67°)

= 180° - 131°

= 49°

Good luck !

7 0

3 years ago

May someone please help me ASAP

Ivenika [448]

Answer:

84+n=342

Step-by-step explanation:

you would subtract 84 from 342 to find the width since it is perimeter.

3 0

3 years ago

On a farm there are some cows and some chickens if the animals have a total of 40 heads and 112 legs how many cows are there? ho

tankabanditka [31]

Answer:

There are 16 cows and 24 chickens in the farm.

Step-by-step explanation:

A Cow has 4 legs

Chicken has 2 legs.

Lets take there $x$ chickens AND,

there are $y$ number of Cows.

Now we can write two equations for the number of heads and legs.

For the number of heads we can write,

$x+y=40$ <--------- 1st equation

For the number of legs we can write,

$2x+4y=112$ <------ 2nd equation

We can now solve the simultaneous equations to find $x$ and $y$

Multiply 1st equation by 2 and deduct it from 2nd equation to remove $x$

⇒ $2x+4y-2*(x+y)=112-80$

⇒ $2x+4y-2x-2y)=112-80$

⇒ $2y=32$

⇒ $y=16$

Therefore, there are 16 cows in the farm.

Now we can substitute the $y$ value to the 1st equation and find $x$ value.

$x+16=40$

$x=24$

Therefore, there are 24 chickens in the farm.

6 0

3 years ago