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Answer:

a) Ub = 0,069

b)  CI 99 %  = ( 0,0287 ; 0,069 )

c) n = 2536

Step-by-step explanation:

Confidence Interval (CI) for proportion is

p₀  ±  z(c) * √ ( p₀*q₀ ) /n

Where     p₀  is the sample proportion

n = size of the sample

and z(c)   is z score for the significance level α

As    CI  = 99 %       α = 1%      α = 0,01      α/2 = 0,005

from z-table we find   z(c) = 2,57

p₀ = 12/300      p₀ = 0,04  ;    

n*p₀ = 12  > 10 and  n*q₀  = 300*0,96        n*q₀ = 288 > 10

We can use normal distribution as a valid  aproximation of binomial distibution

Then     z(c) = 2,57

a) upper bound for CI     Ub

Ub = p₀ + z(c) * √ p₀q₀/300

Ub = 0,04  +  2,57 * √ (0,04*0,96)/300

Ub = 0,04 + 0,0113

Ub = 0,069

b) CI at 99%  is

CI  = p₀  ±  z(c) * √ ( p₀*q₀ ) /n

we have already calculated the Ub = 0,069

the Lower bound would be   Lb = 0,04 - 0,0113

Lb = 0,0287

Then     CI 99 %  = ( 0,0287 ; 0,069 )

c) If      CI ≤ 0,02 we can find the minimun n value with the equation:

p₀  ±  z(c) * √ ( p₀*q₀ ) /n = CI   or    p₀  -  z(c) * √ ( p₀*q₀ ) /n = 0,01

For symmetry respect to p₀

z(c) *√ (p₀*q₀) / n  = 0,01

Solving for n

z(c) * √ ( p₀*q₀ ) /n = 0,01

2,57 * √ (0,04*0,96)/n  =  0,01

2,57 * √ 0,0384/n = 0,01

2,57 = 0,01/√ 0,0384/n

Squaring both sides of the equation

6,6049 = (0,01)² *n / 0,0384

0,0384*6,6049 / 0,0001  = n

n = 2536

Answer:

–2 and 2      8 and –8                                                                                                         Which pairs of numbers are opposites? Check all that apply.

–6 and –6

–2 and 2

4 and 4

8 and –8

10 and 0

Step-by-step explanation:

The answer for the following question is Option 3.

Answer:

27

Step-by-step explanation:

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

Answer:

9 - n

Step-by-step explanation:

could you make me brainliest if this helped? :)

Answer:

12

Step-by-step explanation:

There are 6 sides of the polygon, therefore since each corner is "2m", 2 x 6 = 12 making it the whole area.

*12 is basically the same as 360 since it's a polygon*

Answer: 20

Step-by-step explanation: it is 20 because 2 negative numbers multiplied by each other will always be positive

Answer:

10.224 < μ < 12.622 ;

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

Step-by-step explanation:

The confidence interval is given as :

Mean ± Margin of Error

margin of error = Zcritical * standard deviation /sqrt(n)

n = sample size

From the data:

12.32, 11.87, 12.34, 11.48, 12.66, 8.51, 14.13, 12.95, 9.34, 8.63

From the data:

Using calculator :

Mean, = 11.423

Standard deviation, s = 1.934

Zcritical at 95% confidence interval = 1.96

Sample size, n = 10

Margin of Error = 1.96* 1.934/sqrt(10) = 1.199

Lower boundary = 11.423 - 1.199 = 10.224

Upper boundary = 11.423 + 1.199 = 12.622

10.224 < μ < 12.622

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

Answer:

b c & e

Step-by-step explanation:

trust me

The correct answer is false.

Multiples 5 include: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, etc.

Bold numbers: even

Normal numbers: odd

Answer:

x = 75°

Step-by-step explanation:

Sum of the interior angles of a triangle = 180°

Therefore,

78° + 27° + x° = 180°

Add like terms

105 + x = 180

105 + x - 105 = 180 - 105 (substraction property of equality)

x = 75°

Answer:

C is your answerrrr

can i have brainliest?

Step-by-step explanation:

Answer:

The answer is c

this is the answer because Find the least common denominator or LCM of the two denominators:

LCM of 3 and 8 is 24

Next, find the equivalent fraction of both fractional numbers with denominator 24

For the 1st fraction, since 3 × 8 = 24,

1/3 = 1/3 × 3/8 = 8/24

Likewise, for the 2nd fraction, since 8 × 3 = 24,

3/8 = 3/8 × 1/3= 9/24

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

8/24 < 9/24

or 1/3 < 3/8

Answer:

Step-by-step explanation:

It's independent

Answer: The answer would be (0,3)

Answer:

(0,3)

Step-by-step explanation:

The horizontal line is always x, and the vertical line is always y. You can see that D is 0 to the right and 3 up, so the answer will be (0,3)

Answer:

the answer is 58°

Step-by-step explanation:

90 - 32 = 58

Answer:

6.25

Step-by-step explanation:

Answer:

38.5

Step-by-step explanation:

Step-by-step explanation:

Airplane One 425m/h x 2h= 850 miles traveled N5°W

Airplane Two 530m/h x 2h= 1060 miles traveled N67°E

5 degrees + 67 degrees = 72 degrees divergence of the Airplane One and Two

Draw a triangle, the smallest side is 850 and adjacent to 1060 side. The angle between these two sides is 72 degrees

Use the acronym SOH CAH TOA to find the side which is the distance between the 2 airplanes after 2 hours

sine 72= opposite/hypotheneus

sine 72= opposite/1060

opposite = (sine 72)(1060)= 1008 miles distance between Airplane One and Airplane Two

Answer:

2×3\5×2\5=60

Step-by-step explanation:

first of all do multiply then cut both 5 and at last divide the Answer comes 60

Answer:

1a. 3/8

1b. 4/12-1/3

Step-by-step explanation:

to get the answers you have to find a common denominator and then add them

Answer:

The answer would be

a) 3/8

b) 1/3

Answer:

one solution

Step-by-step explanation:

5x - 30 = 3x + 60

2x - 30 = 60

2x = 90

x = 45

Answer:

8%

Step-by-step explanation:

10/125 * 100% = 8%

Answer:

Amy and Victor: 1 [tex]\frac{4}{9}[/tex]

Cal and Beth: [tex]\frac{7}{10}[/tex]

Beth and Victor [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Just multiply fractions by LCD