Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2.9. what is the margin of error, assuming a 90% confidence level? round your answer to the nearest tenth.

Check the picture below.

so the area that is not shaded has a total of 90° + 26° = 116°.

a circle has a total of 360°, so the area that is shaded must be 360° - 116° =  244°, and it has a radius of 25.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=25\\ \theta =244 \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (244)(25)^2}{360}\implies A=\cfrac{7625\pi }{18} \\\\\\ A\approx 1330.81 \end{array}[/tex]

Answer:

1330.81

Step-by-step explanation:

I'm not sure if it wanted the individual sectors or the whole shaded region in general, so I just did the latter since it seemed easier. Hope it helps!

Answer:

-11.5 < -9.5

Step-by-step explanation:

If it's asking foto compare greater or less than, -9.5 is greater than -11.5

Hey there!

Here we are asked to compare the following decimals:

-11.5 and -9.5

how do we compare numbers?

Well, there are 3 symbols that we use:

< (less than)

> (greater than)

= (equal to)

is 11.5 equal to -9.5? nope!

Is -11.5 greater than -9.5?  

No, because the decimals are negative.

Is -11.5 less than -9.5?

Yes.

Hence, the correct symbol is

[tex]\boxed{\boxed{\bold{-11.5 < -9.5}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions!

#LearningDoesn'tEnd

:-)

Answer:

x

=

161

Step-by-step explanation:

Multiply both sides of the equation by

7

.

7

⋅

(

x

−

119

)

÷

7

=

7

⋅

6

Simplify both sides of the equation.

Tap for more steps...

x

−

119

=

42

Move all terms not containing

x

to the right side of the equation.

Answer:

161

Step-by-step explanation:

Step 1:

( x - 119 ) ÷ 7 = 6        Equation

Step 2:

( x - 119 ) = 42      Multiply 7 on both sides

Step 3:

x = 42 + 119      Add 119 on both sides

Answer:

x = 161        Add

Hope This Helps :)

Step-by-step explanation:

please mark me as brainlest

Answer:

800g gives a better value for money

Step-by-step explanation:

To find which box which gives you better value for money

Divide the gram by the cost of the cereal

1st calculations

--› 500g ÷ $2.5

=> 200

2nd calculations

--› 800g ÷ $3.95

=> 202.5316455696202

so the question that the value is bigger which is 800g= 202.5316455696202 gives you more money value

Answer:

Subtract 24 from both sides.

Step-by-step explanation:

x2+8x=24

Step 1: Subtract 24 from both sides.

x2+8x−24=24−24

x2+8x−24=0

For this equation: a=1, b=8, c=-24

1x2+8x+−24=0

Step 2: Use quadratic formula with a=1, b=8, c=-24.

x=

−b±√b2−4ac

2a

x=

−(8)±√(8)2−4(1)(−24)

2(1)

x=

−8±√160

2

x=−4+2√10 or x=−4−2√10

Answer:

x=−4+2√10 or x=−4−2√10

Answer:

+ 16

Step-by-step explanation:

x² + 8x = 24

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 24 + 16

Answer:

(2, 6 )

Step-by-step explanation:

- 8x + 2y = - 4 → (1)

- 7x + y = - 8 ( add 7x to both sides )

y = 7x - 8 → (2)

substitute y = 7x - 8 into (1)

- 8x + 2(7x - 8) = - 4 ← distribute parenthesis and simplify left side

- 8x + 14x - 16 = - 4

6x - 16 = - 4 ( add 16 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

substitute x ;= 2 into (2)

y = 7(2) - 8 = 14 - 8 = 6

solution is (2, 6 )

Answer:

x=16

Step-by-step explanation:

(2x-4)+(x+5)+(3x+3)=100

6x+4=100

6x=96

x=16

The percentage of the household survey that owned televisions is 72%. And the sample is defined below.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Random sampling is the method of selecting the subset from the set to make a statical inference.

All states households 1565 households surveyed 1127 households that owned televisions. Then the percentage will be

[tex]\rm Percentage = \dfrac{1127}{1565}*100\\\\Percentage = 0.72*100\\\\Percentage = 72 \%[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

1565 households surveyed

Step-by-step explanation:

I did this on edge :)

Take 2 points

Slope:-

[tex]\\ \rm\Rrightarrow m=\dfrac{4000-5000}{2}=-500[/tex]

Equation in point slope form

[tex]\\ \rm\Rrightarrow y-5000=-500(x)[/tex]

[tex]\\ \rm\Rrightarrow y=-500x+5000[/tex]

Answer:

[tex]y-2 = -3(x-2)[/tex]

Step-by-step explanation:

Find the diagram to the question attached.

The standard equation of a line in point-slope form is expressed as:

[tex]y-y_0 = m(x-x_0)[/tex] where:

m is the slope of the line

[tex](x_0, y_0)[/tex] is coordinate point on the line

First is to get the slope of the line.

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

If after buying 2 lattes, she has $2 left, hence one of the coordinate of the line is (2, 2). We can get the other coordinates from the graph. From the graph, it can be seen that when x = 0, y = 8. Hence the other coordinates is (0, 8)

[tex]m = \frac{8-2}{0-2}\\m = \frac{6}{-2}\\m = -3[/tex]

Hence the slope is -3

Substitute m = -3 and the point (2, 2) into the formula to get the required equation (note that any of the points can be used)

[tex]y-y_0 = m(x-x_0)\\y-2 = -3(x-2)[/tex]

Hence the equation of the line in point-slope form is [tex]y-2 = -3(x-2)[/tex]

Answer:

Part A -- 29 plants

Part B -- 90.75$

Step-by-step explanation:

79.75 / 2.75 = 29

4 x 2.75 = 11

79.75 + 11 = 90.75

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:4931520 yd

Step-by-step explanation:2,

802x1760=4931520yds

Answer:

James has a piece of construction paper with an area of 6514inches. It is 293inches long. What is the width of the piece of construction paper in inches?

Step-by-step explanation:

fist cdsddghjjhgfghjkl;'

Answer:

The truck will roll 40.5 feet from top of the hill after 9 seconds.

Step-by-step explanation:

Let be [tex]f(t)[/tex] the distance rolled by the truck in time, measured in feet, whose expression is:

[tex]f(t) = 0.5\cdot t^{2}[/tex]

Where [tex]t[/tex] is the time, measured in seconds.

By evaluating this function at [tex]t = 9\,s[/tex], we find the distance rolled by the truck:

[tex]f(9\,s) = 0.5\cdot (9\,s)^{2}[/tex]

[tex]f(9\,s) = 40.5\,ft[/tex]

The truck will roll 40.5 feet from top of the hill after 9 seconds.

Answer:

y=$35

Step-by-step explanation:

y= total number in your account

x= # of weeks

y=5x + 20

y=10x + 5

x=3 weeks

Answer: Is there any answers to choose from

Answer:

-7y - 8x

the person who answered the question before me is buggin

Answer:

I think A. I got (2,0) and (-0.5,0). Weird.

Step-by-step explanation:

Answer:

[tex]h = 5.73[/tex]

Step-by-step explanation:

Formula: [tex]V = \pi r^{2} h[/tex]

[tex]2178 = \pi (11)^{2} h[/tex]

[tex]2178 = 121\pi h[/tex]

[tex]2178 = 121 (3.14) h[/tex]

[tex]2178 = 379.94h[/tex]

[tex]h = 5.73[/tex]

Answer:

[tex]\huge\colorbox{navy}{Answer}[/tex]

[tex]lcm\: of \:7 \:and \:21 = 21 \: \: \: [/tex]

Answer:

21 is the l.c.m of 7 and 21

explanation:

[tex]\sf \bold \mathrm{The\:LCM\:of\:}a,\:b\mathrm{\:is\:the\:smallest\:positive\:number\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]

7 :  7

21 : 3 * 7

.

multiply, 7 * 3 = 21 - which is divisible by both 21 and 7

Answer:c

Step-by-step explanation:

Answer:

-189

Step-by-step explanation:

Isolate the r/9 (so subtract the 8 and add it to the other side). Then multiply the 9 out and you should get -189

Work:

-13=r/9 +8

-21=r/9

-189=r

Answer:

-189

Step-by-step explanation:

Khan academy

The situation involves combination

There are 45 possibilities of choosing the 3 side dishes from the menu

The given parameters are

The keyword choose means that the situation involves combination.

Given that you want at least one vegetable and one starch, the selections are:

(Vegetable, Starch) = (1,2) and (2,1)

So, the number (n) of ways the dishes can be selected is:

n = 5C1 * 3C2 + 5C2 * 3C1

Apply the combination formula on each expression

n = 5 * 3 + 10 * 3

Evaluate the sum

n = 45

Hence, there are 45 possibilities of choosing the 3 side dishes from the menu

Read more about combination at:

https://brainly.com/question/11732255

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions.

Answer:

210/3+3/3

Step-by-step explanation:

210/3=70+3=73/3=71
213/3=71

Answer:

She answers 3 questions per minute!!

Step-by-step explanation:

I know this because 3x10 = 30 and if she solves 30 questions in 10 minutes,  that means in 1 minute she solves 3 questions.

Answer:

The median would be the second 5

Therefore our answer would be 5

Step-by-step explanation:

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory

Work Shown:

[tex]\sqrt{a} + \sqrt{b} = x\\\\\sqrt{36} + \sqrt{25} = x\\\\6+5 = x\\\\11 = x\\\\x = 11[/tex]

The required value in (36,25,x) is an O'Hara triple, of x is 11.

Three positive integers a, b, and x form an O'Hara triple (a,b,x) if and only if √a+√b=x. For example, (1,4,3) is an O'Hara triple because √1+√4=3. If (36,25,x) is an O'Hara triple,  To determine the value of x.

In mathematics, it deals with numbers of operations according to the statements.

From example,
(1,4,3) is an O'Hara triple because √1+√4=3, in the example sum of the square roots of the first two numbers is equal to the third number. so the value of x in  (36,25,x)  can be determined in the same manner.

Following the example,
√36+√25=x
6 + 5 = x
x = 11

Thus, the required value in (36,25,x) is an O'Hara triple, of x is 11.

Learn more about arithmetic here:

brainly.com/question/14753192

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