. A polling organization announces that the proportion of American voters who favor congressional term limits is 64%, with a 95% confidence margin of error of 3%. If the opinion poll had announced the margin of error for 80% confidence rather than 95% confidence, this margin of error would be (a) 3%, because the same sample is used. (b) less than 3%, because we require less confidence. (c) less than 3%, because the sample size is smaller. (d) greater than 3%, because we require less confidence. (e) greater than 3%, because the sample size is smaller.

So, on solving the provided question, we can say that the outlier from the following data set will be 8.

Outliers are data points that deviate from the distribution's typical pattern. a value that is "outside" of the record's typical range (either significantly lower or substantially greater). For instance, both 3 and 85 are "outliers" when the scores are 25, 29, 3, 32, 85, 33, 27, 28, etc. Move away. Look for values that are significantly larger or significantly smaller than all other values to identify outliers. Because it is significantly smaller than all other values, Value 4 is an outlier. An observation that differs unusually from other values in a population sample taken at random is referred to as an outlier.

outlier = 4, 5, 1, 7, 4, 5, 8, 9, 6, 5, 4, 9, 7

outlier = 8

To know know more about outlier visit:

https://brainly.com/question/26958242

#SPJ4

Answer:

The space needle is 62.95 m tall.

Step-by-step explanation:

Given that,

The height of the shadow, h = 67 m

The angle of elevation  from the tip of the shadow to the top of the Space Needle is 70°.

We need to find the height of the space needle.

The shadow of space needle is hypotenuse of right angled triangle. Let the height of the space needle is x m. Using trigonometry,

[tex]\sin\theta=\dfrac{x}{h}\\\\x=h\times \sin\theta\\\\x=67\times \sin(70)\\\\x=62.95\ m[/tex]

So, the space needle is 62.95 m tall.

Answer:7.6

Step-by-step explanation:

Answer:

a trapezoid

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

Perimeter =  sum of lengths of sides of a trapezoid

Answer:

x = -2

Step-by-step explanation:

[tex]8^{x}[/tex] = [tex]\frac{1}{64}[/tex]

So to solve exponent.

8x=  1 /64

log(8x)=log( 1/ 64 ) (Take log of both sides)

x*(log(8))=log( 1 /64 )

x= log( 1 /64 ) /  log(8)

x=−2

Hope this helps!

Answer:  I would multiply the lxwxh and do 0.25 x 0.36 x 0.14 which in all would give you 0.0126 m2.

Step-by-step explanation:

Answer:

1 - 2 1/4

2 - 2 2/4 (simplified) 2 1/2

3 - 7 3/11

4 - 2 1/7

5 - 7 3/8

6 - 4 3/10

7 - 6 2/8 (simplified) 6 1/4

8 - 6 10/12 (simplified) 6 5/6

9 - 6 2/4 (simplified) 6 1/2

10 - 4 1/2

11 - 5 1/8

12 - 3 2/3

13 - 6 5/12

14 - 2 3/5

15 - 5 2/3

_______________________________________

1 - 42/5

2 - 20/3

3 - 27/5

4 - 52/7

5 - 10/3

6 - 17/3

7 - 40/11

8 - 28/5

9 - 29/3

10 - 25/3

11 - 86/9

12 - 11/3

13 - 15/2

14 - 5/2

15 - 38/7

Equivalent function has the same domain and range. Equivalent and equal terms are not the same both have different meanings in mathematics.

A function is said to be equal if its Domain and Range are identical. Complete solution, step by step: A and B should be two sets. Now, by function, we mean a rule that guarantees that f(a)=b exists for all a. As a result, set A is referred to as the Domain of File and set B as the Range Off.

Despite being comparable to 1 + 1, 2 is believed to be equal to 2. When two items or amounts are exactly the same, as when 12 is equal to 12, yet 12 is equivalent to 2/4 since they reflect the same value, we can say that they are equal.

In mathematics, an equivalent can be defined in one of two ways. This is thus because there are various definitions for the concept of equivalent in mathematical theory. Equivalent refers to the mathematical notion that distinct terms and expressions having a similar value are treated equally.

Equivalent is not the same as equal in mathematics. While equivalent indicates similar but not the same, equal means the same in all respects.

To know more about equivalent function here:

https://brainly.com/question/10498970

#SPJ4

There are 24 ,5-digit palindromes with different neighboring .

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

No, it is always between 0 t0 1.

Such a palindromic number should be  abcba  

2a+2b+c=14

Thus  c has to be even and we need

a+b=14−c/2 and we can choose for  a any value from  1 to  (14−c)/2

Thus the number of such palindromic numbers is

7+6+5+4+3=25

starting from  c=0 up to  c=8

To learn more about probabilities visit the link:

https://brainly.com/question/24756209

#SPJ4

Answer:

D

Step-by-step explanation:

Cuz is negative u need the bracket

Answer: 40

Step-by-step explanation:

   We will substitute x = 8 and simplify the given expression.

 Given:

6x-x

 Substitute:

6(8) - 8

 Multiply:

48 - 8

 Subtract:

40

A large interquartile range shows the range in values of the central 50% of the data.

Answer:

Step-by-step explanation:

(168 mi)/(7 hr) = (24 mi)/hr

(2.5 hr) × (24 mi)/hr = 60 mi

Answer:

ZYX=39

ZXY=64

X=1

Step-by-step explanation:

The cost of parker's tuition is $19,090.9

Parker could pay 45% of his college tuition with his scholarship

He paid for the remaining $10,500 with a student loan

Therefore the cost of parker's tuition can be calculated as follows

100% - 45%

= 55%

let y represent the cost of parker's tuition

55y/100= 10500

0.55y= 10500

y= 10500/0.55

y= 19,090.9

Hence Parker tuition cost is $19,090.9

Read more on tuition here

https://brainly.com/question/14282660

#SPJ1

Let l be the length of the classroom in feet, and w be the width of the classroom in feet. We know that l + 5 = w and l * w = 84.

We can use these two equations to solve for the length and width of the classroom.

First, we can solve the second equation for l:

l = 84 / w

Substituting this expression for l into the first equation gives us:

84 / w + 5 = w

Expanding the left side of the equation gives us:

84 / w + 5 = w

84 / w = w - 5

84 = w^2 - 5w

w^2 - 5w - 84 = 0

This is a quadratic equation that we can solve using the quadratic formula:

w = (5 + sqrt(5^2 - 4 * 1 * -84)) / 2 * 1

= (5 + sqrt(25 + 336)) / 2

= (5 + sqrt(361)) / 2

= (5 + 19) / 2

= 24 / 2

= 12

Now that we know the value of w, we can substitute it back into the equation l = 84 / w to find the value of l:

l = 84 / 12

= 7

Therefore, the dimensions of the classroom are 7 feet by 12 feet.

Answer: y = 2/5x + 4

Step-by-step explanation:

       We will write a point-slope form equation for this line, then simplify it into a slope-intercept form equation.

Given point-slope form:

➜ m is the slope

➜ (x1, y1) is the point given

       y - y1  = m(x - x1)

Substitute values in:

       y - (4)  = (2/5)(x - (0))

Distribute 2/5:

       y - 4  = 2/5x - 0

Add 4 to both sides of the equation:

       y = 2/5x + 4

Step-by-step explanation:

since we have the slope and a point, we can start with the point-slope form

y - y1 = a(x - x1)

a is the slope, (x1, y1) is the given point.

y - 4 = (2/5)(x - 0) = 2x/5

y = 2x/5 + 4

or

y = (2/5)x + 4

The number of seconds, it takes for the balloon to drop below 310 feet is 1.25 seconds

To find out how many seconds it will take for the balloon to drop to below 310 feet, we need to use the information provided and some basic algebra.

Given the starting altitude of the balloon, we know:

h(0) = 1200 feet

The rate of change of the altitude, or the speed at which the altitude is changing, is given as:

dh/dt = −712 feet/second

This tells us that the altitude of the balloon is decreasing at a rate of 712 feet per second. To find out how long it will take for the altitude to drop to 310 feet or less, we can set up the following equation:

h(t) = h(0) + dh/dt * t

We know that h(t) must be less than or equal to 310 feet, so we can substitute this value in for h(t) and solve for t:

310 = 1200 + (−712) * t

This equation can be solved for t by isolating t on one side and then dividing both sides by −712:

t = (1200 - 310) / −712

t = (890) / (−712)

t = 1.25 seconds.

So it will take 1.25 seconds for the balloon to drop below 310 feet.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The angle of elevation of the coconut palm tree from me is [tex]38\x^{o}[/tex].

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

the angle of elevation is defined as "the angle created between the horizontal line and the line of sight when an observer looks upwards." It is always higher than the observer and at a larger angle. When a person stares downward, they create an angle of depression, which is the opposite of an elevation angle. When studying heights and distances in trigonometry, it is crucial to understand the angle of elevation and depression. Angles, horizontal lines, and line of sight are the three main terms related to the angle of elevation.

Height of the palm tree is 58 ft

Distance at which I am standing from the tree is 74 ft

As per sum

[tex]tan \theta = \frac{58}{74}[/tex]

[tex]\theta = tan\x^{-1} (\frac{58}{74})[/tex]

[tex]\theta\\[/tex] = [tex]38\x^{o}[/tex]

To learn more about Height and Distance refer to :

https://brainly.com/question/7537247

#SPJ4

Answer:

no lol

Step-by-step explanation:

Answer:

m DE=60°

Step-by-step explanation:

OR≅OS

in Δ STW,

SW=TW

TS=SW=TW

m∠TSW=60°

m DE= 60°

༄❁༄❁༄❁༄❁༄

hope it helps...

have a great day ! ! !

The dimensions of a different sector with the same area and perimeter are An alternative sector's radius is 6.42 inches. An alternative sector has an arc length of 16.52 inches.

The distance between two places along a segment of a curve is known as the arc length.

Sector radius, r = 8.26 inches

Sector arc length = 12.84 inches

Sector perimeter = 2r + length of the arc

The specified sector's perimeter is equal to 2 x 8.26 x 12.84 x 29.36 inches.

The circle's circumference is 2 + 8.26 + 16.52.

The specified circle's area is A = 8.262 * 68.2276.

Sector area, A = 53.0292 inch2

Consequently, we have;

2R plus A equals 29.36 inches

A·R = 53.0292 × 2

that provides;

R² + 53.0292 = 14.68·R

R² - 14.68·R + 53.0292 = 0

using a graphing calculator to factor yields;

(R - 6.42)·(R - 8.26) = 0

R = 6.42 or R = 8.26

R = 8.26 is the measurement for the first sector.

Due to the distinctions between the sectors, we have;

R = 6.42 inches is the radius of the other sector.

The length of the arc, A = 29.36 - 2R

∴ A = 29.36 - 2 × 6.42 = 16.52

To know more about arc length visit:-

brainly.com/question/16403495

#SPJ4

Answer:

d=52 e=77 f=51

Step-by-step explanation:

The opposite side of 52 is 52 because they are intersecting 1dk, same thing with 77, and when you have both of those just add all the angles and subtract it from 360

Answer:

d = 52

e = 77

f = 51

Hope this helps!

Answer:

You first find the number on the number line, and go from there.

Step-by-step explanation:

If it's addition (Ex. 4+12), you would start at 4, and move right 12 spaces. Since the answer is 16, you would land on the 16th space. Think of it as a board game...

If you roll a 6, and you are on space number 4, you move up 6 spaces. This would represent addition. It's the opposite if you land on a "Move Back" space. You land on that space, and you roll a 4. If you are on the 6th space, you go back to the second space. This would represent subtraction. Hope this helps! Mark Branliest, pls!

Answer:

your answer would be y=-3x-15

Step-by-step explanation:

Answer:

X ≥ 49.5

Step-by-step explanation:

X + 15 ≥ 64.5

Subtract 15 from both sides

X ≥ 49.5

So, the answer is X ≥ 49.5

Answer:

Given all right triangles

Use Pythagorean to find the missing side:

=1=

=2=

=3=

Answer: The odds in favor of an event happening are the ratio of the probability of the event happening to the probability of the event not happening. To find the odds in favor of an event, you can use the formula:

Odds in favor = probability of event occurring / (1 - probability of event occurring)

In this case, the event is that Adam will see a meteor in the next 10 minutes. The probability that this event will occur is 0.56. Therefore, the odds in favor of this event occurring are:

Odds in favor = 0.56 / (1 - 0.56)

= 0.56 / 0.44

= 1.27

So, the odds in favor of Adam seeing a meteor in the next 10 minutes are 1.27 to 1.

It means that Adam is 1.27 times more likely to see a meteor in the next 10 minutes than not seeing one.

Step-by-step explanation:

The odds in favor of Adam seeing a meteor in the next 10 minutes are 14 : 11

Answer:

A recursive sequence , also known as a recurrence sequence, is a sequence of numbers indexed by an integer and generated by solving a recurrence equation. The terms of a recursive sequences can be denoted symbolically in a number of different notations, such as , , or f[ ], where. is a symbol representing the sequence.

Step-by-step explanation:

I hope this helps?

Answer:

A recursive sequence ,  a sequence of numbers indexed by an integer and generated by solving a recurrence equation.

Answer:

$56 or $4 left over from $60

$ 56 o $ 4 sobrantes de $ 60

Step-by-step explanation:

4 2/3 pizzas would cost $56

4 2/3 pizzas costarían $ 56