All categories

2 years ago

Please give answer ??

Mathematics

1 answer:

krok68 [10]2 years ago

8 0

Answer:

21.5%

Step-by-step explanation:

The area of the 4 circles together = 4×π×12^2

The area of the square = 48^2

then the probability that the point is in one of the circles =

(4×π×12^2)÷48^2

=0.785398163397

Therefore, the probability that the point is not in a circle =

1 - 0.785398163397 = 0.214601836603

converted into percentage : 21.4601836603

rounded = 21.5%

You might be interested in

Jackie scored 81 and 87 on her first two quizzes . Write and solve a compound inequality to find the possible values for a third

asambeis [7]

Answer:

The third score must be larger than or equal to 72, and smaller than or equal 87

Step-by-step explanation:

Let's name "x" the third quiz score for which we need to find the values to get the desired average.

Recalling that average grade for three quizzes is the addition of the values on each, divided by the number of quizzes (3), we have the following expression for the average:

$average=\frac{81+87+x}{3}$

SInce we want this average to be in between 80 and 85, we write the following double inequality using the symbols that include equal sign since we are requested the average to be between 80 and 85 inclusive:

$80\leq average\leq 85\\80\leq \frac{81+87+x}{3} \leq 85\\80\leq \frac{168+x}{3} \leq 85$

Now we can proceed to solve for the unknown "x" treating each inaquality at a time:

$80\leq \frac{168+x}{3}\\3*80\leq 168+x\\240\leq 168+x\\240-168\leq x\\72\leq x$

This inequality tells us that the score in the third quiz must be larger than or equal to 72.

Now we study the second inequality to find the other restriction on "x":

$\frac{168+x}{3} \leq 85\\168+x\leq 85 *3\\168+x\leq 255\\x\leq 255-168\\x\leq 87$

This ine $72\leq x} \leq 87$ quality tells us that the score in the third test must be smaller than or equal to 87 to reach the goal.

Therefore to obtained the requested condition for the average, the third score must be larger than or equal to 72, and smaller than or equal 87:

4 0

3 years ago

Find the height of the cylinder whose radius is 7cm and tsa is 96cm2

Advocard [28]

Answer:

0.62

Step-by-step explanation:

Height = Volume / πr²

7 0

3 years ago

The population p (in millions) of Italy from 1990 through 2008 can be approximated by the model p=56.8e^o.oo15t , where t repres

dimulka [17.4K]

As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.

Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:

$p = 56.8e^{0.0015*10}\\$

$p=57.6584$ million people

To find the population of Italy in 2008 (t = 18 years)

substitute t = 18 in the equation and have:

$p=56.8e ^{0.0015*18}\\$

$p=58.3545$ million people

To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30

t = 25

$p=56.8e^{0.0015*25}$

$p=58.9704$ million people

t = 30

$p=56.8e^{0.0015*30}$

$p=59.4144$ million people

8 0

2 years ago

1. Are there more inches in a mile or second in a day?

Sedaia [141]

Answer:

Step-by-step explanation:

60 x 60 = 3600

3600 x 24

5280 x 12

I know for steps 2 and 3 to be equal, 3600 would have to be half of 5280 because 24 is twice 12, and it’s not. And because 3600 is more than half of 5280, I know that 3600 times 24 is more than 5280 times 12. My answer, therefore, is there are more seconds in a day.

4 0

3 years ago

A company policy requires that for every 30 employees, there must be 3 supervisors. If there are 267 supervisors at the company,

Alexus [3.1K]

267 supervisors will have 2670 employees.

Step-by-step explanation:

Let x be the number of employees.

Given,

3 supervisors = 30 employees

1 supervisor = $\frac{30}{3}$

1 supervisor = 10 employees

As one supervisor has 10 employees, 267 supervisors will have;

x = 267*10

x= 2670 employees

267 supervisors will have 2670 employees.

Keywords: Multiplication.

Learn more about multiplication at:

#LearnwithBrainly

4 0

3 years ago