the quotient of 7 subtracted from a number, c, and 4

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:

The unit rate is 8.

Step-by-step explanation:

(5, 40) = 8

(10, 80) = 8

(15, 120) = 8

you can simply divide and find the unit rate.

Answer:the correct order is 2√6 cm > 2√3 cm > √2 cm.

Step-by-step explanation:I got it correct on edmentum

Answer:

x = 13

y = -10

z = -7

Step-by-step explanation:

x+y+z=−4

2x+3y−2z=10

−x+2y−3z=−12

Add the first and the third equations to eliminate x

x+y+z=−4

−x+2y−3z=−12

--------------------

  3y -2z = -16  Equation A

Add the second and twice the third equation to eliminate x

2x+3y−2z=10

−2x+4y−6z=−24

----------------------------

     7y -8z = -14  Equation B

Take Equation A and multiply by -4

-4*(  3y -2z) = (-16)*-4

-12y + 8z = 64

Add this to Equation B

-12y + 8z = 64

 7y -8z = -14

-----------------------

-5y = 50

Divide by -5

-5y/-5 = 50/-5

y = -10

Now using equation A

  3y -2z = -16  

3*-10 -2z = -16

-30 -2z = -16

Add 30 to each side

-2z = -16+30

-2z = 14

Divide by -2

-2z/-2 = 14/-2

z = -7

Now find x using the first equation

x+y+z = -4

x -7-10 = -4

x -17 = -4

Add 17 to each side

x-17+17 = -4+17

x = 13

Answer:

I think it is 40

Step-by-step explanation:

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:

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:

141,548

Step-by-step explanation:

the product means you need to multiply

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

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:

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:

  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]

Answer:

1/12=x/100

Step-by-step explanation:

1/2=x/100

1*100=100

100 dived by 12 =

8

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:

I think the answer is 0.8 but not sure

Answer:

A

Step-by-step explanation:

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:

-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 :)

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.

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

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/Explanation:

Starch and glycogen are both polysacharide molecules, meaning they are made up of chains of monosaccharides - sugars. They are both polymers of glucose monomers.

However, they differ in structure. Glycogen is far more branched than starch.

Starch is the storage carbohydrate most often found in plants, whereas glycogen is the storage carbohydrate most often found in animals and fungi.

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:

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:

0 = 63

No Solution

Step-by-step:

-15y + 7 + 17y = 2y + 70

2y + 7 = 2y + 70

2y - 2y = 70 -7

0 = 63

Answer:

y=-61/2=-30 1/2=-30.5

Step-by-step explanation:

Add −15 and 7 to get −8.

−8+17=2y+70

Add −8 and 17 to get 9.

9=2y+70

Swap sides so that all variable terms are on the left hand side.

2y+70=9

Subtract 70 from both sides.

2y=9−70

Subtract 70 from 9 to get −61.

2y=−61

Divide both sides by 2.

y=-61/2

Fraction  

−61/2 =−30.5 can be rewritten as − 61/2=−30.5 by extracting the negative sign.

y=-61/2=-30 1/2=-30.5