Need help !! From mathematics only

Using the z-distribution, it is found that:

a) There are more than 10 successes and 10 failures in the sample, hence the conditions are met.

b) The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).

c) Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.

Item a:

The requirement is that there are at least 10 successes and 10 failures in the sample.

244 out of 500 voters are affiliated with party X, hence 500 - 244 = 256 are not, meaning that there are more than 10 successes and 10 failures in the sample, hence the conditions are met.

Item b:

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]\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 z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

244 out of 500 voters are affiliated with party X, hence:

[tex]n = 500, \pi = \frac{244}{500} = 0.488[/tex]

99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.43[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.546[/tex]

The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).

Item c:

Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.

A similar problem is given at https://brainly.com/question/16807970

Answer:

x=34 because you simplify it and then take 45 and at it to it

Answer:

Here plz leave review thx

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3+2=5

x=3

Answer:

I would say its a 16.5 %

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming no wild cards ie. 52 card deck.

13 ways to fill the heart card

39 ways to fill the second card

38 ways to fill the third card

37 ways to fill the fourth card

13(39)(38)(37) = 712,842

Answer:

I don't know answer what is

Answer:

3 baskets and 6 oranges, 9 pears, 4 bananas

Step-by-step explanation:

the common denominator is 3

Answer:

6 cups of sugar

Step-by-step explanation:

2/5=x/15

x=6

Answer:

-5/2

Step-by-step explanation: 2 - 7 = -5 so that is your numerator and -2+ 4=2 is your denomonitaor.

Answer:

741.3 feet if rounding to the nearest tenth

Step-by-step explanation:

You will do 295/tan21.7 which gives you approximately 741.3 feet

Answer:

Step-by-step explanation:

So, we divide 1200 by 25 to find out how many words per minute he types.

1200 / 25 = 48

So, he types 48 words per minute.

Now, we multiply this by 45 to find out how many words he can type in 45 minutes.

48 x 45 = 2,160

Joseph can type 2,160 words in 45 minutes!

Answer:

A

Step-by-step explanation:

15 and -7

|x-4|=17-6

|x-4|=11

x-4=11

x-4=-11

x=11+4

x=15

x=-11+4

x=-7

Answer:

each item would be $10. hope this helps.

Step-by-step explanation:

1. 5

2.2

3.2,5

4.2,5

5.2

HOPE IT HELPS:)

PLS FOLLOW:)

#BRAINLIEST:)

Answer:y = 3(-2) - 7

Step-by-step explanation:

Answer:

484836281726261919292762

Answer:

55.8

Step-by-step explanation:

if 1 cake needs 9.3, 6 cakes would need (6*9.3)

9.3 * 6 = 55.8

Answer:

-4

Step-by-step explanation:

if you add negative 4 to each of the x's, it would give you the number of y

Answer:

-4

Step-by-step explanation:

the explanation is up in my answer

Answer:

3/5

The nth term of an AP = a + d(n -1)

By the looks of it, the next term in the sequence is the 4th term.

a = 9/10

d = 4/5 - 9/10 = -1/10

9/10 - 1/10(4 - 1) = 9/10 - 1/10(3)

9/10 - 3/10 = 6/10

3/5

= 1 × ⅔ × 5/3

= ⅔ × 5/3

= 10/9

= 1 1/9 ft³ (D.)

Answer:

[tex] \large\color{red}{ \tt{36n⁸}}[/tex]

Step-by-step explanation:

[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]

[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]

[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]

[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]

[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]

[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]

Hope It's Help

Answer: For this equation, the value of x is - 2/3.

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

It means the value of -2/3 for x is correct

Answer:

[tex]x=-\frac{41}{60}[/tex]

Step-by-step explanation:

[tex]Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\[/tex]

[tex]-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}[/tex]

Don't forget the - in front of the answer

Answer: C

Step-by-step explanation:

16+9=25 so 25-4 is 21 and 7 times 3 is 21. This means that 7(3) + 4 is 25

Answer:

[tex]1.3 \sqrt{b {}^{2} } [/tex]

Pull terms out from under the radical, assuming positive real numbers.

[tex]3b[/tex]

[tex]2. - 2 \sqrt{x {}^{2} } [/tex]

Pull terms out from under the radical, assuming positive real numbers.

[tex] - 2x[/tex]

Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!

Given info: -17/2 < (-1/2) - 4x ≤ 15/2

Find the value of x ?

Explanation:↓

Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2

⇛ -17/2 < (-1-8x)/2 ≤ 15/2

On multiplying with 2 then

⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)

⇛ -17 < -1-8x ≤ 15

On adding 1 in the in-equation then

⇛ -17+1 < -1-8x+1 ≤ 15+1

⇛ -16 < -8x ≤ 16

On dividing by 8 in the in-equation then

⇛ -16/8 < -8x/8 ≤ 16/8

⇛ -2 < -x ≤ 2

⇛ 2 > x ≥ - 2

⇛ -2 ≤ x < 2

⇛ x € [-2,2)

Answer:→The solution set = { x : -2 ≤ x < 2, x€R }

The possible values of x = -2,-1,0,1

If you have any doubt, then you can ask me in the comments.

Answer:

7/50

Step-by-step explanation:

Here is an easy way of converting a decimal number to fraction.

Step 1:

Write it down as 0.14/1

Step 2:

Multiply bottom and top by 10 for every number after the decimal, since there is 2 numbers after the decimal you do 10*10 = 100

[tex]\frac{0.14(100)}{1(100)}[/tex] = 14/100

Step 3:

You can simplify 14/100 to 7/50 and thats why 7/50 is the answer

Answer:

[tex]\frac{14}{100}[/tex] or [tex]\frac{7}{50}[/tex]

Step-by-step explanation:

To find 0.14 we have to see what place it's in, since it was in the hundredths place, we put 14 over 100, which is 14/100.

To simplify this fraction we have to find the GCM (Greatest Common Factor), the GCM of 14 and 100 is 2. Then we divide both the bottom and the top by 2 (whatever you do to the bottom, you do to the top), which gives us 7/50.

To conclude, 0.14 as a fraction is 14/100 or 7/50.

[tex]\left(\dfrac{5}{n+1}\right) \left( \dfrac{n+1}{n+3} \right)\\\\\\=\dfrac{5(n+1)}{(n+1)(n+3)} \\\\\\=\dfrac{5}{n+3}[/tex]