area and perimeter


9=


10=

Answer:

41.67

Step-by-step explanation:

1.) Set up a proprotion

[tex]\frac{5.6}{x}[/tex]=[tex]\frac{20}{x+30}[/tex]

2.) Next solve! Cross multiply.

so we get..

5.6(x+30)= 20x

5.6x+168= 20x

5.6x-20x= -168

x= 11.67

3.) We have found x, but they are asking us for the whole length of AB! So just add 30 to x or 11.67

x+ 30= length of AB

11.67+30= 41.67

There are for the length of AB is 41.67!

Answer:

a) 0.1769 = 17.69% probability that both professors get their grants funded.

b) 0.7231 = 72.31% probability that at least one of the professors will be funded.

c) 0.4331 = 43.31% probability that Professor Jane is funded but Professor Joe is not.

d) 0.5989 = 59.89% probability that Professor Jane is funded but Professor Joe is not

Step-by-step explanation:

a. What is the probability that both professors get their grants funded?

Jane has a 0.61 probability of being funded.

Joe has a 0.29 probability of being funded.

So

[tex]p = 0.61*0.29 = 0.1769[/tex]

0.1769 = 17.69% probability that both professors get their grants funded.

b. What is the probability that at least one of the professors will be funded?

None:

Jane has a 1 - 0.61 = 0.39 probability of not being funded.

Joe has a 1 - 0.29 = 0.71 probability of not being funded.

0.39*0.71 = 0.2769

At least one:

1 - 0.2769 = 0.7231

0.7231 = 72.31% probability that at least one of the professors will be funded.

c. What is the probability that Professor Jane is funded but Professor Joe is not?

Jane has a 0.61 probability of being funded.

Joe has a 1 - 0.29 = 0.71 probability of not being funded.

0.61*0.71 = 0.4331

0.4331 = 43.31% probability that Professor Jane is funded but Professor Joe is not.

d. Given at least one of the professors is funded, what is the probability that Professor Jane is funded but Professor Joe is not?

0.4331/0.7231 = 0.5989

0.5989 = 59.89% probability that Professor Jane is funded but Professor Joe is not

Answer:

y=5x+4

Step-by-step explanation:

Answer:

125 weeks

Step-by-step explanation:

3000-500=2500

2500÷20=125

Answer: 125 Weeks

Reason:

3000 - 500 = 2500

2500 / 250 = 125

So 125 will be your final answer.

Answer:

a. 28yds

7*4 = 28yd

b. 36yds

9*4= 36yd

c. 1,008yds

28*36 = 1,008yd

hope this helps, good luck :)

Answer:

m∠F = 90°

Step-by-step explanation:

By the property of a kite,

"One pair of the opposite angles are congruent"

m∠E ≅ m∠G

m∠E = m∠G = 113°

Sum of the interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides of the polygon

For a kite, n = 4

Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°                                                                          

                                                                                          = 360°

Therefore, m∠E + m∠F + m∠G + m∠H = 360°

113° + m∠F + 113° + 44° = 360°

m∠F = 360° - 270°

m∠F = 90°

Answer:

The solution is 9

Answer:

P=2

Step-by-step explanation:

Answer:

504

Step-by-step explanation:

Answer:

a) 11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.

b) 0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.

c) The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.

Step-by-step explanation:

We have these following probabilities:

89% probability that a patient has heart failure due to natural occurrences.

11% probability that a patient has heart failure due to outside factors.

A) What is the probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors?

We assume that causes of heart failure between individuals are independent, which means that the probabilities are the same for each patient. So:

11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.

B) What is the probability that third patient with heart failure that enters the emergency room is the first one due to outside factors?

First two due to natural occurrences, each with 89% = 0.89 probability.

Third due to outside factors, with 11% = 0.11 probability. So

0.89*0.89*0.11 = 0.0871

0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.

C) What is the mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors?

11% with outside factors, so the mean number of patients before the first with outside factors is given by

m = 1/0.11 = 9.09

The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.

hopefully that comment helps

Answer: They don`t have anything in different  they both have 4 and they both have 6

Step-by-step explanation: I don`t know  I just saw it and knew that there was nothing different.

Answer:

A. 4 3/4

B. 3 1/2

C. 3 1/4

D. 4 1/4

Answer:

Sorry my handwriting is terrible :) :p

Step-by-step explanation:

Answer:

8 years.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.5%/100 = 0.045 per year,

then, solving our equation

t = 720 / ( 2000 × 0.045 ) = 8

t = 8 years

The time required to

accumulate simple interest of $ 720.00

from a principal of $ 2,000.00

at an interest rate of 4.5% per year

is 8 years.

Answer:

I’m sorry I don’t know the answer

Step-by-step explanation:

Answer:

7/32/1/6

you separate the fractions

7/32÷1/6

change the division sign to multiplication then you take the denominator up and the numerator down.

7/32×6/1

then multiply

42/32

reduce to the lowest term

21/16

Step-by-step explanation:If you want to find the equation of line with a given a slope of -8 which goes through the point (6,9), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and  is the given point

So lets use the Point-Slope Formula to find the equation of the line

y-9=%28-8%29%28x-6%29 Plug in m=-8, x%5B1%5D=6, and y%5B1%5D=9 (these values are given)

y-9=-8x%2B%28-8%29%28-6%29 Distribute -8

y-9=-8x%2B48 Multiply -8 and -6 to get 48

y=-8x%2B48%2B9 Add 9 to both sides to isolate y

y=-8x%2B57 Combine like terms 48 and 9 to get 57

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

Answer:

So the equation of the line with a slope of -8 which goes through the point (6,9) is:

y=-8x%2B57 which is now in y=mx%2Bb form where the slope is m=-8 and the y-intercept is b=57

Answer:

Because it can just stay constant. It may not change at all, so that's not a negative association

Step-by-step explanation:

Replace x with 2 and solve each equation:

1/2(2) + 4 = 1 + 4 = 5

2+ 6 -1/2(2) -2 = 8-3 = 5

The answer is:

both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Answer:

The resin materials cost per foot of finished product for June is $0.53

Option a) $0.53 is the right answer

Step-by-step explanation:  

Given the data in the question;

                                                       May                  June                          uly

Resin pounds input

into the process                        470,000            700,000                 650,000  

Price per pound                         X$1.50               X$1.50                    X$1.50

Plastic material costs             $493,000         $640,000                 $677,000

Conversion costs                    $80,000           $120,000                 $115,000

Conduit output from

the process (feet)                   800,000           1,200,000                 1,130,000

Assuming that there is one-half pound of resin per foot of the finished product, determine the resin materials cost per foot of finished product for June.

Now;  

Materials cost for June = $640,000

Number of Feet produced as output in June =  1,200,000    

so

Material Cost per feet of finished product will be;

= $640,000 / 1,200,000

= $0.5333 ≈ $0.53

Therefore, the resin materials cost per foot of finished product for June is $0.53

Option a) $0.53 is the right answer

Answer:

The right answer is the last one! :)

Step-by-step explanation:

Answer: It’s 2, the solution is correct

Step-by-step explanation:

Answer: 2y/w-3x

That should be correct

Answer:

C

Step-by-step explanation:

because it's going to the higher numbers

Answer:

The answer is C: greater than 2

Answer:

b

Step-by-step explanation:

Answer:

Correct answer is 27. Upvote it. Welcome.

Answer:

I cant see it it wont load sorry

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

"a number is multiplied by 7" can be represented by 7x

"25 is added to twice the number" can be represented by 2x+25

7x = 2x+25

5x = 25

x = 5

The number is 5 if  a number is multiplied by 7, the result is the same as when 25 is added to twice the number.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the number is x:

From the problem, we can model a linear equation in one variable.

7x = 2x + 25

5x = 25

x = 5

Thus, the number is 5 if  a number is multiplied by 7, the result is the same as when 25 is added to twice the number.

Learn more about the linear equation here:

brainly.com/question/11897796

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