-244 is it

rational number
natural number
real number
irrational number
integer

Answer:

a.

The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.

b.

The confidence level is the probability of the confidence interval containing the population proportion.

Step-by-step explanation:

Question a:

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

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Poll of 850 randomly selected American adults and finds that 44% of those surveyed have a gun in their home.

This means that [tex]n = 850, \pi = 0.44[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 - 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4066[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.44 + 1.96\sqrt{\frac{0.44*0.56}{850}} = 0.4734[/tex]

The 95% confidence interval for the proportion of all American adults who have a gun in their home is (0.4066, 0.4734). This means that we are 95% sure that the true population proportions of American adults who have a gun in their home is between these two values.

b. Explain what is meant by 95% confidence in this context.

The confidence level is the probability of the confidence interval containing the population proportion.

The measures of given figures are m∠ADC is 90 degrees and m∠DAC will be 34 degrees

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given m∠B= 57 degrees

m∠c= 51 degrees

segment AD bisects m∠BAC

then  m∠ADC we need to find.

As AD is perpendicular to BC, the angle of  m∠ADC is 90 degrees.

Given m∠B= 66 degrees

m∠BAD=34 degrees

Now we need to find m∠DAC

m∠DAC will be 34 degrees

Hence, the measures of given figures are m∠ADC is 90 degrees and m∠DAC will be 34 degrees

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

A percentage of Bashir's commute that would be shorter than 32 minutes, to the nearest 10th is 50%.

Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:

Z-score, z = (x - μ)/σ

Where:

Substituting the parameters into the z-score formula, we have;

Z-score, z = (32 - 32)/3

Z-score, z = 0/3

Z-score, z = 0

Since a commute of 32 minutes on a test has a z-score of 0, the percentage of Bahir's commute that would be shorter than 32 minutes can be calculated as follows:

P(x > 32) = P(z > 0)

P(z > 0) = 0.5

P(z > 0) = 50%.

Read more on z-scores here: brainly.com/question/26714379

#SPJ1

Answer:

C.  meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

data protection act

The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data is a ratio.

Nominal, Ordinal, Interval, and Ratio are defined as the four fundamental levels of measurement scales that are used to capture data in the form of surveys and questionnaires .

1. Nominal : Nominal scale is a naming scale, where variables are simply “named” or labeled, with no specific order.

2. Ordinal : Ordinal scale has all its variables in a specific order, beyond just naming them.

3. Interval : Interval scale offers labels, order, as well as, a specific interval between each of its variable options.

4. Ratio : Ratio scale bears all the characteristics of an interval scale, in addition to that, it can also accommodate the value of “zero” on any of its variables.

According to the question

The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data :

As per different levels scales of measurement :

It will be measured by Ratio  

As ratio is only which will bear the scale all the characteristics of an interval scale, in addition to that, it can also accommodate the value of “zero” on any of its variables.

Hence, the data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data is a ratio.

To know more about different levels scales of measurement here:

https://brainly.com/question/14253648

#SPJ2

Answer:

Hello! answer: 90

Step-by-step explanation:

I split the trapezoid into 2 then did base × height ÷ by 2 cause the way I split it it made 2 triangles

10 × 12 = 120 10 × 6 = 60 120 + 60 = 180 180 ÷ 2 = 90 therefore 90 is our area Hope that HELPS!

Answer:

A

Step-by-step explanation:

Answer:

Percent change = 15 - 25/25 × 100% = -10/25 × 100 = -40%

Step-by-step explanation:

Answer:

5 percent

Step-by-step explanation:

divide 25 by5 which gives you percent

Answer:

Sum of all the interior angles = 900°

Each angle ≅  128.57° (rounded to the nearest hundredth)

Step-by-step explanation:

The sum of the interior angles of a polygon can easily be found by using the following formula...

Sum of all the interior angles = 180°(n - 2)  

In that formula "n" equals the number of sides a polygon has so in our case

n = 7

So now we know that the sum of all angels equals...

180°(n - 2) = 180° (7 - 2) = 180° (5) = 900°

From here we can easily find the measure of each angle since there is a rule that states that in a regular polygon all angles are equal to each other, so we just have to divide the sum of all interior angles by the number of interior angles, and so we get...

900° / 7 ≅ 128.57 (rounded to the nearest hundredth).

The perimeter of the considered isosceles triangle is  28.8 in. approx.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Considering the attached image below, which has same isosceles triangle with same measurements, we see that:

|AC| = |AB| (because perpendicular dropped leaves two congruent triangles in ABC, as ADC and ADB)

similarly, we have:

|BD| = |DC|

But |BC| = 6 =  |BD| + |DC|,

Thus, 6 = |BD| + |DC| = |BD| + |BD| =2|BD|

|BD| = 6/2 = 3 inches = |DC|

From Pythagoras theorem for triangle ADB, we get:

[tex]|AB|^2 = |AD|^2 + |BD|^2\\|AB|^2 = 11^2 + 3^2 = 121 + 9 = 130\\|AB| = \sqrt{130} \approx 11.4 \: \rm in. = |AC|[/tex]

(positive square root since |AB| is length, which is a non-negative measure).

Thus, we get:

Perimeter of the rectangle = |AB| + |BC| + |AC| ≈ 11.4 + 6 + 11.4 = 28.8 in.

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

The value of π can be written with upper and lower limits as -

3.12 ± 0.062.

Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.

Given is that Helen draws a random circle, she then measures the circumference and diameter. She gets a circumference {C} of 405mm correct to 2 significant figures She gets a diameter {D} of 130mm correct to 2 significant figures.

We can write -

Circumference {C} = (405 ± 2) mm

Diameter {D} = (130 ± 2) mm

The value of π can be calculated as -

π = {C}/{D}

π = (405 ± 2)/(130 ± 2)

Now, divide the numbers without errors first -

405/130

3.12

Now, we will calculate the relative errors in each number -

2/405 = 0.004

2/130 = 0.016

Adding the relative errors -

0.004 + 0.016

0.02

Absolute error = 0.02 x 3.12 = 0.062

The value of π can be written with upper and lower limits as -

3.12 ± 0.062

Therefore, the value of π can be written with upper and lower limits as -

3.12 ± 0.062.

To solve more questions on significant figures, visit the link below -

https://brainly.com/question/13263124

#SPJ1

The line y = - x has a coordinate value of (4, - 4) passing through the origin.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through the origin, (−1, 1) and (4, n).

So, The slope of the line is,

m = (1 - 0)/(- 1 - 0).

m = - 1.

Now,

1 = -1(-1) + b.

b = 0.

y = - x.

At x = 4,

y = - 4.

So, The point (4, n) is (4, - 4).

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ1

Answer:

5

Step-by-step explanation:

since the sides of parallelogram are parallel

then 3X+3 = 4X-2 (they are equal because they are alternating angles )

3X+3 = 4X-2 subtract 3X from both sides

3 = X-2. add 2 to both sides

X= 5

Answer:

x = 5

Step-by-step explanation:

As the diagonals of a parallelogram bisect each other (divide into two equal parts):

[tex]\implies 2x+1=x+6[/tex]

[tex]\implies 4x-2=3x+3[/tex]

Solve the first equation for x:

[tex]\implies 2x+1-1=x+6-1[/tex]

[tex]\implies 2x=x+5[/tex]

[tex]\implies 2x-x=x+5-x[/tex]

[tex]\implies x=5[/tex]

Solve the second equation for x:

[tex]\implies 4x-2+2=3x+3+2[/tex]

[tex]\implies 4x=3x+5[/tex]

[tex]\implies 4x-3x=3x+5-3x[/tex]

[tex]\implies x=5[/tex]

Therefore, the value of x that makes the quadrilateral a parallelogram is:

Answer:

24

Step-by-step explanation:

1/2 bh

16x3/2=24

Therefore the value of x is less than 4 when x is in the inequality 3x + 2 < 14 and greater than -3 when x is in the inequality 2 x-5> -11

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.

Expressions are carried out, or evaluated, in order to yield a value. In an evaluation process, values of expressions can be employed as components of surrounding expressions.

To solve for x in the inequality 3x + 2 < 14, we can begin by subtracting 2 from both sides to get 3x < 12. Then, dividing both sides by 3 gives x < 4.

To solve for x in the inequality 2 x-5> -11, we can begin by adding 5 to both sides to get 2x> -6, then divide both sides by 2 to get x > -3

So x can be any number greater than -3 and less than 4

To more about Expressions visit:https://brainly.com/question/29284305

#SPJ1

Therefore , in response to the given problem of triangle, we can state that the triangles ECD and PQR

A triangle is a polygon since it has four segments and three vertices. It is one of the basic geometric forms. The title given to that of a triangle with the vertex A, B, and C is Triangle ABC. A unique planes and trapezoid in Geometric forms are discovered once the three criteria are not collinear. Quadrilateral and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where its three sides converge. 180 degrees is the result of multiplying three triangle angles.

Here,

=> EC = PQ (equal side)

=> CD = PR  (equal side)

=> ED = QR (equal side)

as a result, the SSS property compares both triangles.

To know more about triangle visit:

brainly.com/question/2773823

#SPJ1

Answer: 30

Step-by-step explanation: i’m not sure but my hw says it’s right

Answer:

38.10

38.00

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

C - b = 190x - 10x

Step-by-step explanation:

Mark brainliest

Answer:

y=-3x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-3(x-(-1))

y+5=-3(x+1)

y=-3x-3-5

y=-3x-8

Answer:

8.0622

Step-by-step explanation:

HOPE THIS HELPS YOU.HAVE A NICE DAY....

========================================================

Explanation:

The left-most rectangle spans from x = 0 to x = 2. It has base 2 and height 2, which means it has an area of 2*2 = 4 square units. Let A = 4 since we'll use it later.

The middle rectangle goes from x = 2 to x = 4. It has base 2 and height 3 (because it goes from y = 0 to y = -3). The area is B = 2*3 = 6

Draw a vertical line through 6 on the x axis. This forms the final rectangle we need. It has base 2 (because it goes from x = 4 to x = 6) and height 5. The area is C = 2*5 = 10.

The small sliver to the right of x = 6 is ignored completely.

--------------------

Summary so far:

Those represent the areas of the rectangles from left to right. We ignore the portion to the right of x = 6.

Since rectangle B is below the x axis, we treat this as a negative area, or we subtract off this area. The positive areas of rectangles A and C are added.

So,

A-B+C = 4-6+10 = 8 is the final answer

We can write [tex]\displaystyle \int_{0}^{6}f(\text{x})d\text{x} = \boldsymbol{8}[/tex]

Answer:

2x^5+y^12*x^2/3

Step-by-step explanation:

Answer:

A) 4π

Step-by-step explanation:

The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.

Answer:

Third Option!

Step-by-step explanation:

Sorry if i'm wrong :(

Answer:

Third option is the correct answer.

[tex] 2log_{5}x - 2log_{5}4[/tex]

Step-by-step explanation:

[tex] log_{5} \bigg( \frac{x}{4} \bigg) ^{2} \\ \\ = 2log_{5} \bigg( \frac{x}{4} \bigg) \\ \\ = 2log_{5}x - 2log_{5}4[/tex]

Answer:

The volume of can A is half the volume of can B.

Step-by-step explanation:

Given

Can A and Can B

Required

The true statement

For Can A, we have:

[tex]h =8[/tex]

[tex]r = 0.5[/tex]

The volume is:

[tex]Volume = \pi r^2h[/tex]

This gives:

[tex]V_A = \pi * 0.5^2 * 8[/tex]

[tex]V_A = \pi * 2[/tex]

[tex]V_A = 2\pi[/tex]

For Can B, we have:

[tex]h =4[/tex]

[tex]r = 1[/tex]

The volume is:

[tex]Volume = \pi r^2h[/tex]

This gives:

[tex]V_B = \pi * 1^2 * 4[/tex]

[tex]V_B = \pi * 4[/tex]

[tex]V_B = 4\pi[/tex]

So, we have:

[tex]V_A = 2\pi[/tex]

[tex]V_B = 4\pi[/tex]

By comparison, (d) is correct