answer for this question#2 in math

Answer:

The radius is 6 cm rounded

Step-by-step explanation:

\(C\) stands for circumference

\(r\) stands for radius

here's the formula to find the radius:  \(r=\frac{C}{2\pi }\)

\(r=\frac{36}{6.283}\)

\(r=5.729\)

Hope this helps

Answer:

r = 18/pi or approximately 5.732484076 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

36 = 2*pi*r

Divide each side by 2 pi

36 / (2pi) = 2pi r/ (2pi)

18/ pi = r

Using 3.14 for pi

18/ 3.14 = r

5.732484076 = r

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

First write the equation in the form y=mx+c

\( \frac{3y}{3} = \frac{6x}{3} + \frac{12}{3} \\ y = 2x + 4\)

YOU CAN SEE THAT NOW THE SLOPE OF THE LINE IS 2 TO GET THW Y INTERCEPT WE KNOW THAT AT THE Y-AXIS x=0

PLUG IN 0 IN THE PLACE OF X TO GET Y IN THE EQUATION OF THE LINE.

\(y = 2(0) + 4 \\ y = 4\)

THE Y-INTERCEPT IS (0,4)

THEREFORE THE LINE HAS A SLOPE 2 AND A Y INTERCEPT (0,4)

FIRST OPTION IS THE ANSWER.

There is a 65.54% probability that the average age of those doctors is under 48.8 years.

Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.

It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.

The possibility of an event occurring increases as it gets higher.

True mean = mean (or average)+/- Z*SD/sqrt (sample population)

Then,

Mean (average) = 48.0 years

The true mean must be less than 48.8 years.

SD = 6.0 years, and

Sample size (n) = 9 doctors

Using Z as the formula's subject:

Z= (True mean - mean)/(SD/sqrt (n))

Inserting values:

Z=(48.8-48.0)/(6.0/sqrt (9)) = 0.4

From the table of normal distribution probabilities:

At Z= 0.4, P(x<0.4) = 0.6554 0r 65.54%

Therefore, there is a 65.54% probability that the average age of those doctors is under 48.8 years.

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Complete question:

The average age of doctors in a certain hospital is 48.0 years old. suppose the distribution of ages is normal and has a standard deviation of 6.0 years. if 9 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 48.8 years. assume that the variable is normally distributed.

Answer:

c=1

Step-by-step explanation:

subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1

Answer:

c = 1

Step-by-step explanation:

The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

  (a)  140 sandwiches

Step-by-step explanation:

The total number sold can be found from the given relation:

  56 sandwiches = 40% × total sold

__

Dividing by the coefficient of the variable, we find ...

  total sold = (56 sandwiches)/0.40 = 140 sandwiches

The total number of sandwiches sold last week was 140.

Answer:

650 adult tickets and 250 children's tickets.

Step-by-step explanation:

Answer:

-9/7.

Step-by-step explanation:

√81 = 9 and √49 = 7

but we need the negative square root

which is -9/7.

Answer:

data set: a ; slope: 1/2

Step-by-step explanation:

If an equation is linear, then the first common differences are all the same.

In table a:

17-12 = 5

22-17 = 5

27-22 = 5

etc.

Equation:

m represents slope

y = mx + b

y = mx + 12 (y-intercept is 12)

17 = 10m + 12

10m = 17-12

10m = 5

m = 10/5 = 1/2

The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.

A square is a type of quadrilateral that has four sides with four angle 90° at each edge.

The number of chocolate square mixture Charlene would use for the party = 8 packages.

The number of packages that require a cup of milk = 1

Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.

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Answer:

Square root of 49

The missing side is 7

Step-by-step explanation:

With the Pythagorean theorem.

25^2= 625

24^2= 576

Square root of 49=7

The missing side is 7

Answer:

B always because a rectangle has two sets of parallel sides

Hope this helps

Step-by-step explanation:

you just have to put that value in place of x in the function.

don't be so lazy you a hole do it yourself

Answer and Step-by-step explanation:

To get the x values, we can plug in the y values and solve for x.

1 = 0.5x + 2

Subtract 2 from both sides.

-1 = 0.5x

Divide both sides by 0.5.

-2 = x

2 = 0.5x + 2

Subtract 2 from both sides.

0 = 0.5x

Divide both sides by 0.5.

0 = x

3 = 0.5x + 2

Subtract 2 from both sides.

1 = 0.5x

Divide both sides by 0.5.

2 = x

Those are the answers.

#teamtrees #PAW (Plant And Water)

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

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Answer:

answer in image blow

Step-by-step explanation:

Answer: (10 - 3) x 25 = 175

Step-by-step explanation:

10 - 3 = 7

            7 x 25 = 175

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

You will just need to divide 27 by 3

Because they will need to be even you will have to divide to know how much apples the teacher will give for each student

Hope this helps!

Answer:

9 apples

Step-by-step explanation:

if there are 27 apples and three students you would need to do 27÷3 which equals 9

9514 1404 393

Answer:

  c.  x + 6

Step-by-step explanation:

The factorization is ...

  x(x -3)(x -6)

The factor on the list that is not part of the above expression is (x +6).

_____

More detail

Factoring x from each term gives ...

  x(x^2 -9x +18)

Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).

  = x(x -3)(x -6)

Answer:

787 times 2554 equals 2,009,998

Step-by-step explanation:

Hope that helps!

Answer:

A) 6

B) 14

C) 4

D) 7

Hope it helps :))

Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

Answer:

x= -3

Step-by-step explanation:

Given: 5(x+5) = 10

Find: x

Set the equation up.

5(x+5) = 10

Simplify.

5x + 25 = 10

Subtract 25 from both sides.

5x = -15

Divide to isolate the variable.

x = -3.

Answer:

x = -3

Step-by-step explanation:

Lets start simplifying:

Method 1:

5(x+5) = 10      Multiply parenthesis by 5

5x+25 = 10     Subtract 25 from both sides

5x = -15           Divide by 3 on both sides

x = -3

Method 2:

5(x+5) = 10     Divide by 5 on both sides

x+5 = 2           Subtract 5 from both sides  

x = -3

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

217.7777 m/s

Step-by-step explanation:

1km = 1000 metros

784 km = 784*1000 = 784000 metros

1 hora = 3600 segundos

entonces:

784 kilómetros en una hora = 784km/h = 784000m/3600ses

= 217.7777 m /s

es decir que recorre en cada segundo:

217.7777 metros.

Tarea relacionada:

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Answer:

9/16

Step-by-step explanation:

3/2 / 8/3 =

3/2 x 3/8 = 9/16

Hope that helps!

Answer:

180-48

132

Hope this helps!

Answer:

ABC =132

Step-by-step explanation:

The angles form a straight line which is 180 degrees

ABC + BCD = 180

ABC + 48 = 180

Subtract 48 from each side

ABC = 180-48

ABC =132