If twice the number, added to 3 is divided by the number plus 9, the result is three halves. Find the number

Answer:

26/3 or 8 2/3

Step-by-step explanation:

= 13/5 x 10/3

= 13 x 10

  5  x  3

= 130/5

= 26/3

= 8 2/3

Answer:

Step-by-step explanation:

Assuming that we are only trying to calculate the probability of the light being green ONLY on day 4 then it would be the exact same probability as every other day, which would be 17%. Now if we are trying to calculate the probability of the light being green on the first consecutive 4 days then we would need to multiply this probability (in decimal form) four times for the four days like so...

0.17 * 0.17 * 0.17 * 0.17 = x

0.00083521 = x   ... times by 100 to get percentage

0.00083521 * 100 = 0.0835%

So the probability of the light being green 4 days in a row during your commute is 0.0835%

Answer:

B

Step-by-step explanation:

It Going Down 1 across 2

Answer:

6.144

Step-by-step explanation:

Given the expression

5ln(4t) = 16

Required

Solve for t

5ln(4t) = 16

Divide both sides by 5

5ln(4t)/5 = 16/5

ln(4t) = 3.2

Apply exponent to both sides of the equation

e^ln(4t) = e^3.2

4t = e^3.2

4t = 24.53

t = 24.53/4

t = 6.144

The value of t is 6.144

Answer:

Total amount of mail delivered

Step-by-step explanation:

Answer:

till all the mail. is delivered

Step-by-step explanation:

Answer:

well, I'm not sure about the answer but I think it's 108904.

Step-by-step explanation:

Hope you have a wonderful day. Always be positive. ❤

Answer:

The same shape but in a different location

Step-by-step explanation:

hope i helped u today:)

Answer:

i had the same question i think you have to add the num\Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Since AB  = AC  ....the angles opposite these sides are also equal...

So   y   =    [ 180 - 24 ] / 2   =  156 /  2    =   78°

Step-by-step explanation:

Hope that helps, let me know if theres anything wrong with my answer

please click thanks button or something

thanks babe!

Answer:

10 1/5

Step-by-step explanation:

14 3/5 - 4 2/5 = 10 1/5.

Answer:

10 1/5

Step-by-step explanation:

3/5-2/5=1/5

14-4=10

10 1/5

Answer:

It would be Congruent, ASA.

Step-by-step explanation:

You can see there is a line on the side of both triangles meaning they're the same side and a circle in the corner of both triangles, meaning they're the same angle.

Answer:

I can confirm that the answer above me is right

Step-by-step explanation:

Answer:

Option B cost less per ounce

Step-by-step explanation:

A - 3.30/16 = .21

B - 8.64/48 = .18

Answer:

Option B

Step-by-step explanation:

With option A you get 16 oz. of jelly for $3.30

With option B you get three times the amount of jelly for a better price.

Option B gives you three times the amount of jelly for less than three times the price that it  should be.

It's a good deal.

I hope this helps. (I'm new to this btw)

Answer: b = 1

Step-by-step explanation:

-11 + 3(b + 5) = 7 Given

-11 + 3b + 15 = 7 Distributive property

3b + 4 = 7 Combine like terms

- 4 - 4 Subtraction property

3b = 3 Simplify

b = 3/3 Division property

b = 1 Simplify

Complete Question

The probability that a single radar station will detect an enemy plane is 0.65.

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)

Answer:

a

 [tex]n \approx 4[/tex]  

b

Step-by-step explanation:

From the question we are told that

The probability that a single radar station will detect an enemy plane is [tex]p =0.65[/tex]

 Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as

     [tex]P(X \ge 1 ) = 0.98[/tex]

=>   [tex]P(X \ge 1 ) = 1 - P(X < 1) = 0.98[/tex]

=>   [tex]P(X = 0) = 1 - 0.98[/tex]     Note [tex]P(X < 1) = P(X = 0)[/tex]

=>   [tex]P(X = 0) = 1 - 0.98[/tex]

=>   [tex]P(X = 0) = 0.02[/tex]

Generally from binomial probability distribution function

     [tex]P(X = 0) = ^nC_0 * p^{0} * (1- p)^{n- 0}[/tex]

Here C represents combination hence we will be making use of of combination functionality in our  calculators

Generally any number combination 0  is  1

So  

     [tex]P(X = 1) = 1 * 1* (1- 0.65)^{n- 0} = 0.02[/tex]

=>  [tex](1- 0.65)^{n- 1} = 0.02[/tex]

taking log of both sides

     [tex]log [(0.35)^{n- 1} ] = log (0.02)[/tex]

=>  [tex]{n- 1}log[0.35] = -1.699[/tex]

=>  [tex]{n- 1}* -0.4559 = -1.699[/tex]

=>  [tex]n= 3.7264 + 1[/tex]

=>  [tex]n= 4.7264[/tex]

=>  [tex]n \approx 4[/tex]  

Gnerally the expected number of stations that will detect an enemy plane is  

    [tex]E(X) = 7 * 0.65[/tex]

=> [tex]E(X) \approx4.5[/tex]

Answer:

The left hand is more accurate.

Step-by-step explanation:

If you look at the graph, it will look like the right hand is more accurate, due to the fact that it has a closer distance than the left. However, the right hand actually never have hit the target while the left did more than once.

The equation that represents the number of hours the plumber worked is

90(x) = 855.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, A plumber charges his customers $90 for each hour he works.

Assuming the no. of hours to be 'x'.

∴ The equation that represents the number of hours the plumber worked is

90(x) = 855.

learn more about equations here :

https://brainly.com/question/29657992

#SPJ2

Answer:

180 ft

Step-by-step explanation:

We are told that the scale model is 40:1. And that it's being used to conduct wind - tunnel tests.

This means 40 units represents 1ft.

This means that 4.5ft will be;

(4.5 × 40)/1 = 180 ft

Thus, the actual length of airplane would be 180 ft.

Answer:

20x - 5y= -5

6x- 5y= 9

14x= - 14

x= - 14by4= - 1

put value in equation2

6( - 1) - 5y= 9

- 5y= 9 plus 6

- 5y= 15

y= -15 by5= - 3

Known today as the Code of Hammurabi, the 282 laws are one of the earliest and more complete written legal codes from ancient times. The codes have served as a model for establishing justice in other cultures and are believed to have influenced laws established by Hebrew scribes, including those in the Book of Exodus.

Answer:

The Hammurabi Code is significant because it is one of the earliest complete written legal law codes that were used in the ancient times. The lasting impact is that the Hammurabi Code helped established the idea of legal laws and rules that will help shape society for the greater good. Also they helped served as a model for what laws we have and will continue to have.

Answer:

The absolute difference between the two calculations is 0.2

Step-by-step explanation:

Student 1

When the events do not affect each other, they are known as independent events. That is, two events are independent if the result of the second event is not affected by the result of the first event.

When two events are independent, the probability that A and B occur is equal to the product of the probability that A occurs and the probability that B occurs. Then:

P(A∩B)= P(A)*P(B)

The probability of the opposite event is equal to 1 minus the probability of the  event. So in this case you have:

P(A'∩B')= 1 - P(A∪B)

Being P(A∪B)= 0.7, then:

P(A'∩B')= 1 -0.7

P(A'∩B')= 0.3

Being P(A)= 0.5 and P(A'), so

0.3= 0.5*P(B)

[tex]P(B')=\frac{0.3}{0.5}[/tex]

P(B')=0.6

Being P(B)= 1 - P(B') so P(B)= 1 - 0.6 and you get P(B)=0.4

Student 2

Two events are mutually exclusive when both cannot occur simultaneously. In other words, two events A and B are incompatible or mutually exclusive when they have no element in common. This is: P(A∩B)= 0

Being P(A∪B) =P(A) + P(B) - P(A∩B), P(A)=0.5 and P(A∪B)= 0.7, you get:

0.7=0.5 + P(B) -0

Solving:

0.7=0.5 + P(B)

0.7 - 0.5 = P(B)

0.2 = P(B)

Finally the absolute difference between the two calculations can be calcutated as:

|0.4 - 0.2|= 0.2

The absolute difference between the two calculations is 0.2

Answer:

12,69 hope this helps<3 can i have brainly?:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4w + 2L = 670

2w + L = 335

L = 335 - 2w

Area A(w) = w(335 - 2w)

max occurs at the average of the solutions.

solutions are w=0 and w = 167.5

the average is 83.75

83.75 * (335 - 2 * 83.75) = 14028.125

Answer:A

Step-by-step explanation:

Answer:

244.95

Step-by-step explanation:

i hope this what you want

Answer:

Stage 1: Simplify each side, if necessary.  

Stage 2: Use Add orSub. Properties to move the variable term aside and all different terms to the opposite side.  

Stage 3: Use multiplication or division

Stage 4: Check your answer.

Step-by-step explanation:

Answer:

Step-by-step explanation!

width = w

length = w + 15

So: w(w + 15) =1250 square feet

w^2 + 15w = 1250

Next you do: w^2+15w-1250=0

Then you use the quadratic formula to factor.

Answer:

Selection of all the true statements:

A: dilations always increase the length of line segments.

B: Dilations take perpendicular lines to perpendicular lines.

C: Dilations of an angle are congruent to the original angle.

F: Dilations of a triangle are similar to the original triangle

Step-by-step explanation:

Dilations are transformations that enlarge or reduce a figure from its original shape and size to another that a bigger or smaller. Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.  This also implies that dilations of an angle are congruent to the original angle.

Answer: yes it is divisible by 3 and 9

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if you add all the digits you get 18. according to the divisibility rules, if this is divisible by 9, then both 9 and 3 should be divisible. 18 is divisible by 9, therefore 32,643 is divisible by both 3 and 9

Answer:

43/50

Step-by-step explanation:

86/100  Divide by 2

43/50

Can't be reduced anymore.

Hope this helped!