It has been announced that 64% of all teenagers say they have a television in their bedroom. These findings came from a simple random sample of 1,000 teens. The standard error estimated from this sample was 1.5%

1. Which of the following is the best estimate of the 85% confidence interval for the proportion of teenagers who say that they have a TV set in their bedroom ?
A. 59.5% to 68.5%. C. 62.5% to 65.5%
B. 61% to 67% D. 64% to 100%

Answer:

6.3 feet

Step-by-step explanation:

diameter is 2ft.

so the "r" radius is half of diameter. i.e 1 ft.

therefore, circumference of wheel =2  x pi x r

2 x 3.14 x 1 = 6.3

Answer:

the circumference of a circle = 6.26 feet

Step-by-step explanation:

to evaluate how far the  bike will go in one rotation simply means to find the circumference of the wheel

given that

diameter = 2feet

π = 3.14

recall, that

the formulae for calculating the circumference of a circle = 2πr

note diameter = 2 x radius

radius = diameter / 2

radius = 2/2

radius = 1feet

the circumference of a circle = 2πr

the circumference of a circle = 2 x 3.14 x 1

the circumference of a circle = 6.26 feet

Answer:

Step-by-step explanation:

Correct Options are:

Option A: (Negative one-fourth) cubed

Option B: Negative (one-fourth) cubed

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

Option F: Negative (one-half) Superscript 6

Step-by-step explanation:

We need to check the expressions that have value [tex]-\frac{1}{64}[/tex]

Option A: (Negative one-fourth) cubed

[tex](-\frac{1}{4})^3[/tex]

Solving: [tex](-\frac{1}{4})^3[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option A is correct.

Option B: Negative (one-fourth) cubed

[tex]-(\frac{1}{4})^3[/tex]

Solving: [tex]-(\frac{1}{4})^3[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option B is correct

Option C: (Negative StartFraction 1 Over 8 EndFraction cubed

[tex](-\frac{1}{8})^3[/tex]

Solving: [tex](-\frac{1}{8})^3[/tex]

We get [tex]-\frac{1}{512}[/tex]

So, Option C is not correct.

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

[tex]-(\frac{1}{8})^2[/tex]

Solving: [tex]-(\frac{1}{8})^2[/tex]

We get [tex]-\frac{1}{64}[/tex]

So, Option D is correct.

Option E: (Negative one-half) Superscript 6

[tex](-\frac{1}{2})^6[/tex]

Solving:[tex](-\frac{1}{2})^6[/tex]

We get: [tex]\frac{1}{64}[/tex]

So, Option E is not correct.

Option F: Negative (one-half) Superscript 6

[tex]-(\frac{1}{2})^6[/tex]

Solving:[tex]-(\frac{1}{2})^6[/tex]

We get: [tex]-\frac{1}{64}[/tex]

So, Option F is correct.

So, correct Options are: Option A, B, D and F

Answer:

1)

b= -7

m=1

2)

b= 4

m=0

3)

b=3

m=-2

Step-by-step explanation:

Answer:

1 . m=1  b =7

2.m=0   b = 4

3. m= -2 b = 3

your welcome mark branliest if possible thanks

The equation for the temperature D as a function of time t in hours is given by D = 50 + 14 sin[2π/24 (t - 16)]. This equation uses a sinusoidal function to describe the fluctuation of temperature around the average of 50 degrees with an amplitude of 14 degrees.

To model the temperature D at a given time, we use a sinusoidal function based on the high and average temperatures. We know the high temperature of 64 degrees occurs at 4 PM (which is 16 hours after midnight), and the average temperature for the day is 50 degrees. This means the amplitude of the function (or the variation above and below the average) is 14 degrees (which is 64-50).

The sinusoidal function can, therefore, be written as follows: D = 50 + 14 sin[2π/24 (t - 16)]. This function describes how, starting from the average temperature of 50 degrees, the temperature fluctuates by 14 degrees in a sinusoidal manner.

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Answer:

Angle x=19°

Angle Y=53°

I might be wrong though.

Step-by-step explanation:

Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.

There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.

Angle X=90-71=19

Angle Y=180-37-71-19=53.

Answer:

The answer to this question is D, 2x+1.

Answer:

5 for each team, 2 left over

Answer:

¼

Step-by-step explanation:

m1 × m2 = -1

m2 = -1 ÷ -4

m2 = 1/4

Answer:

1/4

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other.

Perpendicular slope = [tex]\frac{-1}{m}[/tex]

The slope (m) of the green line is -4.

To solve the slope of the red line, substituted -4 into the equation:

[tex]\frac{-1}{-4}[/tex]

Solve:

[tex]\frac{-1}{-4}[/tex] which give you [tex]\frac{1}{4}[/tex]

-2 2/3 as an improper fraction would be -8/3

Hope this helps :)

Answer:

-8/3

Step-by-step explanation:

-2 2/3

Leave the negative outside

Take the denominator and multiply it by the whole number

3*2 =6

Then add the numerator

6+2 =8

Put that over the denominator

8/3

Bring back the negative that was on the outside

-8/3

Answer:

I got 6.1 as the answer!

Step-by-step explanation:

The required number in the middle of the numbers 2.7 and 9.5 is 6.1.

To determine the number in the middle of 2.7 and 9.5.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The middle number is evaluated as the sum of the numbers divided by 2,
= 2.7 + 9.5 / 2
= 12.2/2
= 6.1

Thus, the required number in the middle of the numbers 2.7 and 9.5 is 6.1.

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Answer:50 miles

Step-by-step explanation:

Answer:

50 miles

Step-by-step explanation:

If she goes 50 mph which is the same as 50 miles in a hour. That means that since she traveled for 1 hour she went 50 miles.

Answer:

SA= 902.88 yd²

V = 1386.24 yd³

Step-by-step explanation:

Surface area

Since the bases are right triangles, you need to find the base of the triangle. Use Pythagorean theorem as you are given the hypotenuse and one leg.

19² = 15.2² + b²

361 = 231.04 + b²

Subtract 231.04 from both sides

b² = 129.96

Root that

b = 11.4

Now that you have the base, find the areas of the triangles and rectangles.

Triangles - (15.2*11.4)1/2 (2)

15.2*11.4 = 173.28

Rectangles - (15.2)(16) = 243.2

(16)(11.4) = 182.4

(16)(19) = 304

Add them all together and the SA equals 902.88 yd²

Volume

V = Bh

V = 1/2(15.2)(11.4)(16)

V = 1/2 (2772.48)

V = 1386.24 yd³

Answer:

[tex]A(\theta)=\frac{162 \theta}{(\theta+2)^2}[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

[tex]2r+s=18[/tex]

[tex]s=r \theta[/tex]

[tex]2r+r \theta=18[/tex]

solve for r

[tex]r=\frac{18}{2+\theta}[/tex]

step 2

Find the value of s

[tex]s=r \theta[/tex]

substitute the value of r

[tex]s=\frac{18}{2+\theta}\theta[/tex]

step 3

we know that

The area of complete circle is equal to

[tex]A=\pi r^{2}[/tex]

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

[tex]\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}[/tex]

substitute the value of r

[tex]A=\frac{(\frac{18}{2+\theta})^2\theta}{2}[/tex]

[tex]A=\frac{162 \theta}{(\theta+2)^2}[/tex]

Convert to function notation

[tex]A(\theta)=\frac{162 \theta}{(\theta+2)^2}[/tex]

This question deals with calculating probabilities of selecting specific colors of pencils from a jar without replacement. First, find the probability of each of the events separately, and then find their joint probability if events are happening successively by multiplying the individual probabilities.

The subject of this question is probability, and it belongs to the field of Mathematics. You're asked to calculate the probability of selecting certain colors of pencils from a jar. The jar contains 4 red, 6 green, and 5 yellow pencils, making a total of 15 pencils. When a pencil is selected, it is not replaced back in the jar, affecting the probabilities of the following selections.

As an example, the probability of drawing a red pencil first (P(red)) would be the total number of red pencils divided by the total number of pencils which equals 4/15. If you then wanted to select a green pencil, the total number of pencils is now 14 (broader outcome space) as a pencil has been removed and not replaced. So, the probability of drawing a green pencil after a red one (P(green|red)) would be 6/14.

To find the probability of both events happening consecutively (drawing a red pencil then a green one), you would multiply the two probabilities together i.e., P(red and green) = P(red) · P(green|red). Applying the same steps to other combinations and you will be able to calculate all the different probabilities.

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Answer:

The second equation converted to slope-intercept form is y = (-⅓)x - 1

Step-by-step explanation:

y = –2x + 4,

(In the slope intercept form)

3y + x = –3

(Not in the slope intercept form)

3y = -x - 3

y = (-⅓)x - 1

Answer:

Quarters = 7

Dimes = 5

Step-by-step explanation:

Let d = dimes and q = quarters:

d+q = 12

10d+25q = 225

Solve for d:

d = 12-q

Substitute it into the second equation:

120+15q = 225

Subtract 120 from both sides:

15q = 105

Divide by 15 in both sides

q = 7

By setting up a system of linear equations based on the given conditions, we find that the solution involves having 9 dimes and 3 quarters. These numbers satisfy the conditions that there are 12 coins in total which combine to be worth 225 cents.

This question is about solving a system of linear equations. Let's assign variable 'd' to the quantity of dimes and 'q' to quarters. We know from the problem that:

To solve for 'd' and 'q', we can use substitution or elimination method. In this case, let's isolate 'd' in the first equation: d = 12 - q. Then substitute 'd' into second equation: 10(12 - q) + 25q = 225. After simplifying, you will find q = 3. Subtituting q = 3 back into the first equation, we find d = 9. Thus, the man has 9 dimes and 3 quarters.

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Answer:

12.56

Step-by-step explanation:

Answer:

y=0

Step-by-step explanation:

if you mulitply all of thoughts with any other number you will get a huge number but anything *0 equals 0

Answer:

The sets has more than 150 students

P∪A∪M

-(P∩A)

Step-by-step explanation:

See the attached figure which represents Venn diagram for the question:

180 take PE

80 take art

72 take music

33 take PE and art

28 take PE and music

20 take all three

M= all students taking music

A= all students taking art

P= all students taking PE

Number of students taking PE and art only = 33 - 20 = 13

Number of students taking PE and music only = 28 - 20 = 8

Number of students taking PE only = 180 - (20 + 13 + 8) = 139

Number of students taking ARt only = 80 - (20 + 13) = 47

Number of students taking Music only = 72 - (20 + 8) = 44

Number of students doesn't take any thing =

300 - (20 + 13 + 8 + 139 + 47 + 44) = 29

We will check the options to find the sets has more than 150 students:

1)  A∪M = 13 + 47 + 20 + 8 + 44 = 132 < 150

2) P∩M = 20 + 8 = 28 < 150

3) P∩A∩M = 20 < 150

4) P∪A∪M = 20 + 13 + 8 + 139 + 47 + 44 = 271 > 150

5) -(P∩A) = 300 - (13+20) = 267 > 150

So, The sets has more than 150 students

P∪A∪M

-(P∩A)

Answer:

c

Step-by-step explanation:

The formula of volume for a triangle is V = 0.5 X b X a X h.

Final answer:

To solve for the number of adult and student tickets sold, the system of equations was created from the given information and solved using the elimination method. The movie theater sold 50 adult tickets and 190 student tickets.

Explanation:

We have two equations based on the information provided about adult and student tickets sold at Family Flicks:

Let's use elimination to solve this system of equations. To do this, we must eliminate one variable. We can multiply the second equation by -4.5 to align the student ticket coefficient with the first equation:

We then add this equation to the first equation:

Now that we know there are 50 adult tickets sold, we can find the number of student tickets sold by substituting A into the second original equation:

The theater sold 50 adult tickets and 190 student tickets.

Answer:

Triangular pyramid

Final answer:

Kwan's sculpture with a triangular base is a pyramid, specifically called a triangular pyramid or tetrahedron in geometry.

Explanation:

If Kwan made a sculpture in the shape of a polyhedron with only one base that is a triangle, her sculpture is a pyramid. In geometry, a pyramid is defined as a polyhedron that has a polygonal base and triangular faces that converge at a single point, called the apex. Given that Kwan's sculpture has a triangular base, her sculpture would specifically be called a triangular pyramid or tetrahedron.

Answer:

is the difference between highest and lowest values.

Step-by-step explanation:

Answer:

808.38

Step-by-step explanation:

:)

Answer:

g(x), because an increasing exponential function will eventually exceed an increasing quadratic function

Step-by-step explanation:

From data, we know that for greater x values, g(x) is greater than f(x).

It is also known that exponential function has greater values than quadratic function for large enough x values.

Answer:

Step-by-step explanation:

In order to find the rate of change in altitude per minute, divide 2250 by 15 , which equals 150 feet per minute.

Answer:

150 per minute

Step-by-step explanation:

Divide 2250 by 15 to find the rate per minute

Answer:

9:6 or 3:2

Step-by-step explanation:

Answer:

9:15 or 3:5

Step-by-step explanation:

There are 9 sedimentary rocks, and there are 15 total rocks. So the ratio would be 9:15 OR you could say 3:5 in simplest form.

Hope this helped! :)

The percentage increase in Jason's height is 11.1%.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

To find the percentage increase in Jason's height, we can use the following formula:

percent increase = (final value - initial value) / initial value x 100%

In this case, the initial value is 36 inches (Jason's height at the beginning of the year) and the final value is 40 inches (Jason's height at the end of the year). Plugging these values into the formula, we get:

percent increase = (40 - 36) / 36 x 100% = 4 / 36 x 100% = 11.11%

Rounded off to the nearest tenths, the percentage increase in Jason's height is 11.1%.

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