complementary and supplementary

Answer:

  x^(6/35)

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

__

  [tex](x^{\frac{2}{5}})^{\frac{3}{7}}=x^{\frac{2\cdot 3}{5\cdot 7}}=\boxed{x^{\frac{6}{35}}=\sqrt[35]{x^6}}[/tex]

Complete Question

A 95% confidence interval of 19.3 months to 47.5 months has been found for the mean duration of? imprisonment, ??,of political prisoners of a certain country with chronic PTSD.

a. Determine the margin of error, E.

b. Explain the meaning of E in this context in terms of the accuracy of the estimate.

c. Find the sample size required to have a margin of error of 13 months and a 99% confidence level.? (Use 38 months. for standard deviation )

d. Find a 99% confidence interval for the mean duration of? imprisonment, ??, if a sample of the size determined in part? (c) has a mean of 36.5 months.

Answer:

a

 [tex]E =  14.1 [/tex]

b

In this context  E tell us that the true mean will lie within E = 14.1 of the sample mean

c

  [tex]n  =57 [/tex]

d

   [tex] 23.514 < \mu < 49.486[/tex]

Step-by-step explanation:

Considering question a

From the question we are told that

   The upper limit is  U =   47.5 months

    The lower limit is   L = 19.3 months

Generally the margin of error is mathematically represented as

       [tex]E = \frac{U - L }{2}[/tex]

 =>  [tex]E = \frac{ 47.5 - 19.3 }{2}[/tex]

 =>  [tex]E = 14.1 [/tex]

Considering question b

In this context  E tell us that the true mean will lie within E = 14.1 of the sample mean

Considering question c

Generally the sample size is mathematically represented  as

        [tex]n = [ \frac{ Z_{\frac{\alpha }{2} * \sigma }}{ E} ]^2[/tex]

Here  E is given as  E = 13

Given that the confidence level is  99% then the level of significance is  

      [tex]\alpha = (100 - 99 )\%[/tex]

=>   [tex]\alpha = 0.01 [/tex]

From the normal distribution table  the critical value  of  [tex]\frac{\alpha }{2}[/tex]  is  

      [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58[/tex]

So

    [tex] n = [ \frac{2.58 *  38}{13}]^2[/tex]

=>    [tex]n =57 [/tex]

Considering question d

From the question

   The sample mean is   [tex]\= x = 36.5[/tex]

Generally the margin of error is mathematically represented as  

         [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{n}[/tex]

=>      [tex]E = 2.58 * \frac{38 }{57}[/tex]

=>      [tex]E = 12.986 [/tex]    

Generally the 99% confidence interval  for  mean distribution is  mathematically represented as

    [tex] 36.5 - 12.986 < \mu < 36.5 + 12.986[/tex]

=>     [tex] 23.514 < \mu < 49.486[/tex]

Answer:

Step-by-step explanation:

Solving in steps:

1. If 3x - 7 > 0

2.  If 3x - 7 < 0

Answer:

$5.25

Step-by-step explanation:

$26.25 divided by 5 is $5.25

Answer:

$5.25 for 1 lb of chicken

Step-by-step explanation:

How did I get $5.25?? 26.25 / 5 = 5.25

1 *  5.25 = $5.25

2 * 5.25 = $10.50

3 * 5.25 = $15.75

4 * 5.25 = $21

5 * 5.25 = $26.25

Answer:

3000 + 900 + 40 + 5

Step-by-step explanation:

(3 x 1000) + (9 x 100) + (4 x10) + (5 x 1) = 3000 + 900 + 40 + 5

Answer:

M=7

Step-by-step explanation:

Angles on a line =180

Middle Angel =90 degrees

5m+3+8m-4+90=180

5m+8m+3-4+90=180

13m-1+90=180

13m+89=180

13m=180-89

13m=91

13m÷13=91÷13

M=7

If I was of help plz mark my answer as brainliest

Answer:

2*3*5^2

Step-by-step explanation:

Answer:

The probability that the very first dam you designed will overtop during your anticipated 45-year career is 0.7985.

Step-by-step explanation:

The question is related to the reliability function.

The reliability of the dam built follows an Exponential distribution with mean time between failure as 200 years.

Then the parameter of the exponential distribution will be:

[tex]\lambda=\frac{1}{200}=0.005[/tex]

The reliability function for the time in which the dam will overtop is given by:

[tex]R(t)=e^{-\lambda t}[/tex]

Compute the probability that the very first dam you designed will overtop during your anticipated 45-year career as follows:

  [tex]R(t)=e^{-\lambda t}[/tex]

[tex]R(45)=e^{-0.005\times 45}[/tex]

         [tex]=e^{-0.225}\\=0.7985[/tex]

Thus, the probability that the very first dam you designed will overtop during your anticipated 45-year career is 0.7985.

Answer:

B

Step-by-step explanation:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). ... the line y = x is the point (y, x). The reflection of the point (x,y) across. the line y = -x is the point (-y, -x).

Answer:

Step-by-step explanation:

The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.

Answer:

I think it is 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Correct option is the bottom right or D

Answer:

B

Step-by-step explanation:

u just do the long division <3

Given:

A line segment with initial point (–5, 3) and terminal point (1, –6).

To find:

The set of parametric equations over the interval 0 ≤ t ≤ 1 which defines the given line segment.

Solution:

Initial point is (–5, 3). So,

[tex]x(0)=-5,y(0)=3[/tex]

Terminal point is (1, –6).

[tex]x(1)=1,y(1)=-6[/tex]

Check which of the given set of parametric equations satisfy [tex]x(0)=-5,y(0)=3,x(1)=1,y(1)=-6[/tex].

Put t=1 in each set of parametric equations.

In option A,

[tex]y(1)=3-6(1)=3-6=-3\neq -6[/tex]

So, option A is incorrect.

In option B,

[tex]y(1)=1-6(1)=1-6=-5\neq -6[/tex]

So, option B is incorrect.

In option C,

[tex]y(1)=3-9(1)=3-9=-6[/tex]

[tex]x(1)=-5+6(1)=-5+6=1[/tex]

Put t=0, in this set of parametric equations.

[tex]x(0)=-5+6(0)=-5[/tex]

[tex]y(0)=3-9(0)=3[/tex]

So, option C is correct.

In option D,

[tex]y(1)=1-7(1)=1-7=-3\neq -6[/tex]

[tex]x(1)=-5+8(1)=-5+8=3\neq 1[/tex]

So, option D is incorrect.

Given:

Mean (μ) = 70

Standard deviation (σ) = 5

z-score = 2.33

To find:

The X-value.

Solution:

We know that,

[tex]z=\dfrac{X-\mu}{\sigma}[/tex]

On substituting the values, we get

[tex]2.33=\dfrac{X-70}{5}[/tex]

Multiply both sides by 5.

[tex]2.33\times 5=X-70[/tex]

[tex]11.65=X-70[/tex]

Add 70 on both sides.

[tex]11.65+70=X[/tex]

[tex]81.65=X[/tex]

Therefore, the required X-value is 81.65.

Answer:

x value is 81.65.

Step-by-step explanation:

Given:

Using the z-score formula:

z = (x - mean) / SD

Plug the values:

[tex]2.33=\frac{x-70}{5}\\x=5\left(2.33\right)+70\\x=81.65[/tex]

Find out more information about the z-score here: https://brainly.com/question/17436641

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1) \\ [/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (2, -2) and slope is 3

The equation is

[tex]y + 2 = 3(x - 2) \\ y + 2 = 3x - 6 \\ y = 3x - 6 - 2[/tex]

We have the final answer as

Hope this helps you

Answer:

-5/2(3x+4)<6-3x (multiply with -5/2)

-15/2x-10<6-3x (multiply with 2)

-15x-20<12-6x (change sides)

-15x+6x<12+20

-9x<12+20

-9x<32

x>-32/9

Hope this will help u :)

Answer:

I think the answer is 0.8 but not sure

Answer:

Yes you did it correctly

Step-by-step explanation:

the answer is

[tex]8.059[/tex]

Answer:

Hello! :) i hope I’m correct!!

Step-by-step explanation:

Yes, you have done it correctly.

The answer should be 8.059 or 8059/1000

So, your absolutely correct!!

Hope this helps!

By: BrainlyAnime ^-^

We can travel approximately 840 miles with $95.

The correct answer is option (D) 840 miles

"It is a quotient of two mathematical expressions."

"It is a mathematical expression where two ratios are equal."

For given example,

the gas costs $3.05 a gallon.

This means, 1 gallon gas = $3.05

We need to find the distance, we can travel in a car with $95 in pocket.

Let 'm' gallon gas costs $95

The ratio of amount of gas to the price must be proportion.

So, [tex]\frac{1}{3.05} = \frac{m}{95}[/tex]

⇒ 95 = 3.05  m

⇒ m = 95/3.05

⇒ m = 31.14 gallon

Since, car travels at 27 miles for each gallon of gas.

Let car travels 'x' miles for 31.15 gallon of gas.

The ratio of amount of gas to the distance traveled by car must be proportion.

⇒ [tex]\frac{27}{1} = \frac{x}{31.14}[/tex]

⇒ 27 × 31.14 = x

⇒ x = 840.7

⇒x ≈ 840 miles

Therefore, we can travel approximately 840 miles with $95.

The correct answer is option (D) 840 miles

Read more about ratio and proportion here:

https://brainly.com/question/26974513

#SPJ2

Answer:

Step-by-step explanation:

$25 times the amount of the withdraw(4) is $100

he gave 5 checks for $100 each = 5 x 100 = $500

$100 + $500 = $600 , Cecilla checking acount change by $600  

Answer:

The answer is below

Step-by-step explanation:

The function B can be represented by the function:

B = C + Acos(Pt)

a) From the graph of the function, it starts from 30, hence it is a cosine function.

The amplitude (A) = (highest value - lowest value) / 2 = (30 - 10) / 2 = 10

A = 10

b) The function completes an oscillation every 12 months, hence its period (P) = 12

c) The average value =  10/√2

d) The vertical shift (C) is the difference between the highest and lowest value.

Therefore, C = 30 - 10

C = 20

Answer:

3.8852

Step-by-step explanation:

Answer:

3.885245902 or rounded 3.88

Step-by-step explanation:

divide 948 by 244

Answer:

141,548

Step-by-step explanation:

the product means you need to multiply

Answer:

A

Step-by-step explanation:

Answer: 14/18 , 21/27 are ratios equivalent to 7/9's .

Answer.3*n+2 =3+2 +3n+2Step-by-step explanation:

Answer:

Part a)  probability  that none will be missed means none will have the disease= 0.058

Part b) probability  that seven cases will be detected= 0.00122

Part c)probability  that  two or more cases will be missed.=0.744

Part d) ) probability  that exactly 75% will be detected= 75% of 8= 6= 0.01000188

Part e) probability six or less cases will be detected = 0.171

Step-by-step explanation:

This is a binomial probability distribution . Here p= 0.7 and q= 1-0.7= 0.3 n= 8

Part a) none will be missed means none will have the disease

P (x= 0)= 8C0(0.7)^8  (0.3)^0

P (x= 0)=1*(0.7)^8  (0.3)^0=0.058

Part b) seven cases will be detected

P (x= 7)= 8C7(0.7)^1  (0.3)^7 = 0.00122

Part c) two or more cases will be missed.

1- P (x= 0)- P (x= 1)

1-0.058-0.198=0.744

Part d) ) exactly 75% will be detected= 75% of 8= 6

P (x= 6)= 8C6(0.7)^2  (0.3)^6=0.01000188

Part e) six or less cases will be detected.

1- P (x= 7)= 8C7(0.7)^1  (0.3)^7+P (x= 8)= 8C8(0.7)^0  (0.3)^8

1-  0.802+0.027=1- 0.829= 0.171

Answer:

a) = 0.65

b) = 0.5

c) = 0.7

Step-by-step explanation:

a)

First, using either A1 detected the object or A2 detected it or both did, the probability that the object is detected can be determined  by any of it

so

P( probability that object is detected) = (p1 * q2) + (p2 * q1) + (p1 * p2)

so we substitute

P( probability that object is detected = (0.5 * 0.7) + (0.3 * 0.5) + (0.5 * 0.3)

= 0.65

b)

probability that object is detected by exactly 1 of the radar prototypes.

P( object is detected by exactly one of the radar prototypes ) = (p1 * q2) + (p2*q1)

= (0.5*0.7) + (0.3*0.5)

= 0.5

c)

probability that A1 that detected it.

using the Bayes theorem,  

P(detected by A1 / detected by exactly one of the prototypes) =  (p1 * q2) / (p1 * q2 + p2*q1) = (0.5 * 0.7) / (0.5 * 0.7) + (0.3 * 0.5)

= 0.35 / 0.5

= 0.7