II. A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in an upcoming election. A poll of 150 randomly selected voters is taken, and 78 of those selected plan to vote for the incumbent candidate. Construct a 90% confidence interval for the proportion of all voters who plan to vote for the incumbent candidate.

a
(0.02709, 0.09291)
b
(0.4529, 0.5871)
c
(0.02131, 0.09869)
d
(0.0309, 0.0691)

Answer:

See below ↓↓

Step-by-step explanation:

Important facts given [needed to solve]

Solving :

Interest paid

The median, upper and lower quartiles of the data set are:

Lower Quartile = 46

Median = 49

Upper Quartile = 90

The center value or middle value of a data set is the median.

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Order the data set given as:

32, 46, 49, 49, 77, 90, 96

Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46

Median = 32, 46, 49, (49,) 77, 90, 96 = 49

Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90

Learn more about the Median, Upper and Lower Quartiles on:

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Answer:

 B, or 4

Step-by-step explanation:

Since the line in the middle of the box plot shows the median it tells us that the median is 4

Answer:

4

Step-by-step explanation:

because it is the middle number

Answer:

5.5 maybe i guess its fun

Answer:

(-[tex]\sqrt{3\\}[/tex]/2,1/2);(-x,y)

Step-by-step explanation:

use the 1, root 3, 2 trick. 150's reference angle is 30 as q2 = 180-x


1 is the opposite here,  2 is always hypotenuse, root 3 is adjacent here

x value is based on cos = CAH
it's minus because in q2 angles are (-x,y)

hope that helps

The slope is m = 3.5; and the y-intercept is b = -6

From the question, we are to determine the slope and the y-intercept of the line.

The slope of a line can be determine by picking any two points on the line.

Then applying the formula,

[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

Where m is the slope

Picking the points (2,1) and (0,-6).

∴[tex]x_{1} = 2[/tex]

[tex]x_{2} = 0[/tex]

[tex]y_{1}=1[/tex]

[tex]y_{2}=-6[/tex]

Then, the slope of the line in the graph is

[tex]m = \frac{-6-1}{0-2}[/tex]

[tex]m =\frac{-7}{-2}[/tex]

m = 3.5

For the y-intercept

The y-intercept is the point where the graph intersects the y-axis

From the graph,

The point where the line intersects the y-axis is -6.

∴ y-intercept, b = -6

Hence, the slope is m = 3.5; and the y-intercept is b = -6

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Answer: Approximately 211.628311 feet of wire is needed

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

Explanation:

Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.

Let x be the length of the wire needed. This is the hypotenuse of the triangle.

Use the cosine ratio to say the following:

cos(angle) = adjacent/hypotenuse

cos(78) = 44/x

x*cos(78) = 44

x = 44/cos(78)

x = 211.628311 feet approximately

Round this value however you need to.

Answer:

211.63 ft (nearest hundredth)

Step-by-step explanation:

**Refer to the attached diagram**

We need to find the hypotenuse of the right triangle.

To do this, we should use the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

Substitute given values into the equation and solve for w:

[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]

[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]

[tex]\sf \implies w=211.6283112[/tex]

Therefore, the length of wire needed is 211.63 ft (nearest hundredth)

The probability that at least 10 pineapples in a case of 12 are ripe within four days as described in the task content is; 0.783

From the task content;

On this note, the probability for ripening of each apple is; 0.94.

Ultimately, the probability that at least 10 pineapples in a case of 12 are ripe within four days is therefore; 0.94 × 10/12 = 0.783.

Read more on probability;

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Answer:

Sunday

Step-by-step explanation:

Friday  

[(13.5 + 8.5) ÷ 2] = [(22) ÷ 2] = 22 ÷ 2 = 11 miles

Saturday

[18 − (2 × 4)] = 18 - (8) = 18 - 8 =  10 miles

Sunday

[20 − (5 − 3)] = 20 - (2) = 18 miles

18 > 11 > 10

Then She rode her bicycle the most on Sunday

Try:

Rereading your lessons, getting help from your tutor or others.

Answer:

Sundays

Hope this helps and don't forget to hit the thanks button! <3

Written by: RiBu

f(x+1)

Answer:

The first can.

Step-by-step explanation:
formula: Pi x diameter x height

1st can has a volume of 113.10
2nd can has a volume of 75.40

Answer:

A=35.5 degrees

Step-by-step explanation:

Check out the photo. Leave a comment if anything's not clear.

Answer:

See attached image.

Step-by-step explanation:

Answer:

  $6,160

Step-by-step explanation:

The total amount of dividend received is the product of the number of shares and the dividend per share:

  (2000 shares) × ($3.08/share) = $6,160.00 . . . dividend received

Answer:

Step-by-step explanation:

Step 1:  Multiply the numerator

[tex](-8) * 2/3[/tex]

[tex](-8 * 2)/3[/tex]

[tex]-16/3[/tex]

Answer: [tex]-16/3[/tex]

Answer:

9

Step-by-step explanation:

To answer this we add 8 to both sides:

x-8+8 = 1+8

x = 9

This is our answer

Given:-

To find :-

Solution :-

X - 8 = 1

X = 1 + 8 ( signs change when transferred to opposite side )

X = 9

Step-by-step explanation:

The graph looks like the above picture

Answer:

Image Attached

Step-by-step explanation:

Hello!

To have points with whole numbers, multiples of 3 need to be used for x.

x = 3

y = (1/3)(3)²y = (1/3)(9)y = 3

x = 6

y = (1/3)(6)²y = (1/3)(36)y = 12

x = 9

y = (1/3)(9)²y = (1/3)(81)y = 27

x = 12

y = (1/3)(12)²y = (1/3)(144)y = 48

x = 15

y = (1/3)(15)²y = (1/3)(225)y = 75

Two images are attached, one in correlation to y = x^2, and the original graph with the given points (3,3), (6,12), (9,27), (12,48), (15, 75).

Answer:

The total surface area is

57ft^2.

Using it's concept, it is found that the sample mean package weight for Thursday is of 19 ounces.

The mean of a data-set is given by the sum of the observations divided by the number of observations.

For Thursday, the package weights in ounces are given by: {18, 19, 20, 19}.

Hence, the sample mean in ounces is of:

M = (18 + 19 + 20 + 19)/4 = 19.

More can be learned about the mean concept at https://brainly.com/question/24628525

The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)

The function g(x) is given as:

g(x) = 2f(6x) + 8

The table is not given.

So, I will provide a general explanation

Using the following values of x:

x = 0, 1, 2, 3......

We have:

g(0) = 2f(6 *0) + 8

g(0) = 2f(0) + 8

g(1) = 2f(6 *1) + 8

g(1) = 2f(6) + 8

g(2) = 2f(6 *2) + 8

g(2) = 2f(12) + 8

g(3) = 2f(6 *3) + 8

g(3) = 2f(18) + 8

Next, we assume the following values

f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7

The values become:

g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16

g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18

g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20

g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22

So, the table of values would be:

x     g(x)

0     16

1     18

2   20

3   22

Read more about function transformation at:

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Answer:

k = 8

Step-by-step explanation:

We know that 8(10-k) = 2k so:

8(10−k)=2k

Simplify both sides of the equation:

8(10−k)=2k

(8)(10)+(8)(−k)=2k

80+−8k=2k

−8k+80=2k

Subtract 2k from both sides:

−8k+80−2k=2k−2k

−10k+80=0

Subtract 80 from both sides:

−10k+80−80=0−80

−10k=−80

Divide both sides by -10:

[tex]\frac{-10k}{-10} =\frac{-80}{-10}[/tex]

k = 8

Answer:

[tex](3*x)+5[/tex]

Step-by-step explanation:

Let the variable x equal "a number"

The phrase times means we multiply the variable x by the constant 3.

The phrase sum of means we add the constant 5 to the term (3 * x).

[tex](3*x)+5[/tex]

Answer: 3x + 5 that's the answer i had to type this cause the answer was to short to post lol

Answer: 2^3 - 16 : 2 +  5^2 = 25/1 = 25

Step-by-step explanation:

Exponentiation: 2 ^ 3 = 8Divide: 16 / 2 = 8Subtract: the result of step No. 1 - the result of step No. 2 = 8 - 8 = 0Exponentiation: 5 ^ 2 = 25Add: the result of step No. 3 + the result of step No. 4 = 0 + 25 = 25

Answer:

Step-by-step explanation:

First establish the pattern. Notice the sequence of numbers below. These are the ones making up the pattern. You can go as far as 47 - 31 which gives 16 which is 4^2.

18 -17 = 1 = 1^2

22 - 18 = 4 = 2^2

31 - 22 = 9 = 3^2

47 - 31 = 16 = 4^2

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

Call the number comming x.  47 taken from x must give 5^2 which is 25

x - 47 = 5^2

x - 47 = 25                        Add 47 to both sides

x  -47 + 47 = 25 + 47

x  = 72

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

72 -47 = 25 which is 5^2.

Answer: The next number is 72

Answer:

40 cups

Step-by-step explanation:

There are 16 cups in one gallon. So 16 * 2 1/2 = 40

Answer: 1,33.5 m

Step-by-step explanation:

       We can set up a proportion to solve. I will have the length of the pole / tower on the top (numerator), and the length of the shadow on the bottom (denominator). All units will be in m.

       [tex]\frac{3}{1} =\frac{x}{44.5}[/tex]

       Now, I will cross multiply and solve for x. This will give us the height of the tower.

       x * 1 = 3 * 44.5

       x = 133.5 m

Answer:

That's cool

Step-by-step explanation:

Answer:

Thats cool and all but whats the wuestion

Step-by-step explanation:

Answer:

Noone can answer it if you dont give us the numbers

Step-by-step explanation: