14 adults and 20 children attended a piano recital. If two people are selected to receive door prizes at the recital, what is the probability that both will be children? Write your answer as a fraction and a decimal rounded to the nearest hundredth.

Answers

Answer 1

Answer: 0.34

Step-by-step explanation:

From the question, 14 adults and 20 children attended a piano recital. This means that there are 14 + 20 = 34 people who attended the paint recital.

If two people are selected to receive door prizes at the recital, the probability of selecting the first child will be 20/34 while the second child will be 19/33. To get the probability of both being children, we have to multiply the fractions

= 20/34 × 19/33

= 380/1122

= 0.34


Related Questions

0 0 1 2 3 4 4 5 6 6

Which of the following could be the one missing data item for the above
set, if the mode is 4?

OA) 0
OB) 3
OC) 4
OD 5​

Answers

D- I could be wrong

A line passes through the point (6,-6) and has a slope of 3/2. Write a equation in point-slope form for this line

Answers

Answer: [tex]y+6=\frac{3}{2} (x-6)[/tex]

Step-by-step explanation:

use the equation [tex]y-y_{1} =m(x-x_{1})[/tex]

we know the slope, y, and x, so plug in

[tex]y-(-6)=\frac{3}{2} (x-(6))[/tex]

[tex]y+6=\frac{3}{2} (x-6)[/tex]

Answer:

[tex]y=\frac{3}{2}x-15[/tex]

Step-by-step explanation:

The point-slope equation is [tex]y-y_{1} =m(x-x_{1} )[/tex]

Here our m is our slope which is [tex]\frac{3}{2}[/tex] and our [tex](x_{1},y_{1})[/tex] point is (6, -6)

Plugging in these values to our equation gives us

y - (-6) = [tex]\frac{3}{2}[/tex](x - 6) → distribute the negative to the -6 on the left side and then distribute the [tex]\frac{3}{2}[/tex] to the x term and the -6 on the right side → y + 6 = [tex]\frac{3}{2}x[/tex] - 9 → then subtract the 6 from both sides → [tex]y=\frac{3}{2} x-15[/tex]

Can someone please help me?

Answers

Answer:

-2

Step-by-step explanation:

A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid

Answers

Answer:

8m

Step-by-step explanation:

Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;

a is the base edge

a² is the base area

h is the slant height

Given Volume of the pyramid V = 384m³

Base area a² = 144m²

h =?

On substituting to get the slant  height;

[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]

The slant height of the pyramid is 8m

Find the value of the expression (2x - 12) + ( 1/2xy - 10) for x = 8 and y = 2

Answers

(2x - 12) + (1/2xy - 10)
(16 -12) + (8 - 10)
4 + (-2)=
2
answer is 2
(2x-12) + (1/2xy-10)
16-12 + 8-10
4+(-2)

If a polynomial function f(x) has roots 0, 3, and 2+ V5, what must also be a root of f(x)?
-2-sqrt15
2-sqrt15
15-sqrt 2
15+sqrt 2

Answers

Answer:

Option B.

Step-by-step explanation:

Note: Given roots are not in proper format.

Consider the polynomial function f(x) has roots 0, 3, and [tex]2+\sqrt{15}[/tex].

According to irrational root theorem if [tex]a+\sqrt{b}[/tex] is root of a polynomial P(x), then [tex]a-\sqrt{b}[/tex] is also a root of polynomial P(x).

Since [tex]2+\sqrt{15}[/tex] is an irrational root of the function f(x). By irrational root theorem [tex]2-\sqrt{15}[/tex] is also a root of function f(x).

Therefore, the correct option is B.

Answer:

B)

Step-by-step explanation:

Which expression is equivalent to the following complex fraction?

Answers

Answer:

Step-by-step explanaAnswer:

\frac{-2y+5x}{3x-2y}

Step-by-step explanation:

Given:

\frac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}

To simplify this expression, first make the addition and the subtraction, to get:

\frac{\frac{-2y+5x}{xy}}{\frac{3x-2y}{xy}}=

Next, simplify the two denominators, to get:

\frac{-2y+5x}{3x-2y}tion:

So the right answer is of option B.

Look at the attached picture

Hope it will be helpful to you ..

Which tables display linear functions? Check all that apply.

Answers

Answer:

A,D, First and Last

Step-by-step explanation:

Answer:

All boxes but the top right box are linear.

which expression can be used to find the value of x in the triangle shown part b write the value of x to the nearest tenth?

Answers

Answer:

where is the image?

Step-by-step explanation:

i need an image ! :)

math question below

Answers

Answer: The package reaches the ground in

4.67 s

and hits the ground with a speed of

33.8 m/s

Answer:

3m/s or option 1

Step-by-step explanation:

Given,

Height(h)=90m

time(t)=30s

Speed(v)=?

Now,

Speed(v)=distance/time

v=height/time(Since,height here is the distance covered by the balloon)

v=90/30

v=3

Unit of speed is m/s

Therefore,v=3m/s

By the way,this is a question related to physics

The area of a parallelogram 420 square cm and the height is 35 cm. Find the corresponding base.

Answers

Answer:

12

Step-by-step explanation:

420/35

12

12*35=420

Answer:

The corresponding base is 12 cm.

Step-by-step explanation:

The area of a parallelogram is calculated with the formula of A=bh, where b is the base and h is the height.

You can apply the problem to the formula:

420=b(35)

To solve, work backwards.

Divide 35 to both sides.

420 divided by 35 is 12

b=12

Hope this helps!

whats the mean absolute deviation of 1, 3, 2, 2, 1, 3, 3, 1

Answers

Answer:

Mean Absolute Deviation (MAD): 0.75

Step-by-step explanation:

Total numbers: 8

Mean: 2

Mean absolute deviation: 0.75

Use the proof to answer the question below.
Given: AB || DE and ZA = LC
Prove: M4BC - ADEC

a. SAS
b. AA
c. SSS
d. AAS

Answers

Answer:

if B is AAA then that is correct

Step-by-step explanation:

What is the range of the relation?
[(-4, 3), (-4, 4), (-3, 1), (1, 1)}
{-4, -4,-3, 1}
{-4, -3, 13
{1, 1, 3, 4]
{1,3,4​

Answers

So the right answer is of option D.

Look at the attached picture..

Additional Information:

The second components of a relation is called range

Hope it will be helpful to you. .

The range of the function is {-4, 4, -3, 1}.

What is the range of the function?

The range of a function is a set of all its possible outputs.

The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.

The given relation is;

[(-4, 3), (-4, 4), (-3, 1), (1, 1)}

The range of a function refers to the entire set of all possible output values of the dependent variable.

The range of a function is a set of all its possible outputs.

The range of the function is {-4, 4, -3, 1}.

Learn more about the range here;

https://brainly.com/question/393946

#SPJ2

The polynomial f(x) is written in factored form:
f(x) = (x - 3)(x + 8)(x - 11)
What are the zeros of the polynomial function?
O x = 3, x = 8, x = 11
O x = 3, x = -8, x = 11
OX=-3, x = 8, X = -11
x = -3, x = 3, x = -8, x = 8, x= -11, x = 11

Answers

Answer:

F(x)=(x-3)(x+8)(x-11)=0

(x-3)=0, (x+8)=0, (x-11)=0

X=3

X=-8

X=11

2/5 of it is 22.\
help

Answers

Answer:

55

Step-by-step explanation:

First, you do 22 divided by 2, which is 11. Then, you would multiply that by 5 which equals 55. So, the number is 55.

Answer:

55

Step-by-step explanation:

x=missong number

of means *

2/5 * x = 22

multilpy both sides by 5/2

x =22* 5/2

x = 55

"
5 ft
A
13 ft
a.
sin A=7
islam
/
A= 12,
A = 12 sec A
-
12
cos A = 132
n la
12
COS A = 13
CP
5, CSC A =
b.
sin A = , tan A = o, sec A = 1
12
sin A = 13, tan A =
12
5, sec A =
13
12
COS A = 5, cot A = 5, CSC A =
al
5
COS A = 13, cot A = 12, CSC A -

Answers

Answer:

i don't understand what the question is please explain what the question is.

The louvre museum is a metal and glass structure that serves as the main entrance to the louvre museum paris, france. The pyramid has a volume of 8820 cubic meters. The base is a square with sides that are 35 meters long. Calculate the surface area of the louvre pyramid

Answers

Answer:

A≈3170.96m²

Step-by-step explanation:

Find the growth rate (b) if the amount of growth is 11.8%

Answers

Answer:

B

Step-by-step explanation:

I think.

Kyleigh put a large rectangular sticker on her notebook.the height of the sticker measures 10 cm. the base is half as long as the height. what area of the notebook does the sticker cover?

Answers

Hey there! Welcome to Brainly! I'm happy to help you!

When we are talking about the height and base, let's use the variables h and b. With the information we have been given, we can make the following equations below.

h=10                     (the height is 10)

b=h/2            (base is half as long as the height)

We see that h is equal to ten. b is equal to h divided by two, so it is therefore ten divided by 2! We take the value for h and the plug it into the second equation!

b=10/2

b=5

So, we now know that the height is 10 cm and that the base is 5 cm. However, we need to find the area. To find the area of a rectangle, we just multiply the base by the height!

10(5)=50

Therefore, the area of the sticker is 50 cm².

I hope that this helps! Have a wonderful day!

Which function describes the graph shown below?

On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half

Answers

Answer: A

Step-by-step explanation:

The amplitude is .5 and the vertical translation is -2. So, y= 1/2sin(x)-2

Answer:

A. y= 1/2 sin(x)-2

Step-by-step explanation:

Correct in edge 2021!

Put in order rational numbers

Answers

Answer:

[tex]-\frac{26}{40}[/tex]

[tex]-\frac{9}{20}[/tex]

[tex]\frac{12}{25}[/tex]

Step-by-step explanation:

Divide each individually.

[tex]-\frac{9}{20}=-0.45[/tex]

[tex]\frac{12}{25}= 0.48[/tex]

[tex]-\frac{26}{40}=-0.65[/tex]

Since you have to order them from least to greatest, begin by the negative number that is farthest from 0. In this case, -0.65, the next negative number would be -0.45 and finally we only have one positive number 0.48

2 divided by one over 3 the awnser is a fraction

Answers

Answer:

1/6

Step-by-step explanation:

2/1÷  1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)

1/2÷  1/3 (Now we flip the numerator and denominator on a fraction)

1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)

1/6 (This is our answer!)

Hope this helped! Stay safe and have a good day or night!

Can someone help me with my maths I’ll give brainliest.

Answers

Answer: A is 40

B is 92.5

C is 27.5

Step-by-step explanation:

Which equation in point-slope form contains the points (0,5) and (5,8)?
A. y - 8 = (x - 5)
B. y - 5 = (x – 8)
c. y - 8 = {(x - 5)
D. y - 5 = (x – 8)

Answers

I'm going to assume you pasted the question and answers and the fractions for the slope didn't come up.

Solve for the slope using the given values.

Slope formula: y2-y1/x2-x1

= 8-5/5-0

= 3/5

Point slope form: y - y1 = m(x - x1)

Using the point (5, 8) and the slope (3/5), it should look like:

y - 8 = 3/5(x - 5)

Best of Luck!

if y=4x-1, determine the value of y when x=7/2

Answers

Answer:

y=13

Step-by-step explanation:

Answer:

y =13

Step-by-step explanation:

y=4x-1

Let x = 7/2

y = 4(7/2) -1

y = 14 -1

y =13

You decide to borrow money to pay for college at 22% interest per year, in 2023.
How much will you owe on a loan of $5,000 in 2027?

Answers

Answer: On  loan of $5000 at that rate, you would be owing $9400

Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.

Hence, the formula for a simple interest computation is given as follows;

Interest = P x R x T

Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)

Interest = 5000 x 0.22 x 4

Interest = 20000 x 0.22

Interest = 4400

Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.

Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)

If I have a probability of 2/5, what is the percentage of probability.


A. 52%

B. 40%

C. 2.5%

D. 80%

Answers

B 40
2 divide by 5= 0.4 which equals to 40%

Answer: 40%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.

We can do this by setting up a proportion.

[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].

Now, we can use cross-products to find the missing value.

So we have (2)(100) which is 200 is equal to (5)(n) or 5n.

So we have 200 = 5n.

Next, dividing both sides of the equation by 5, we have 40 = n.

So 2/5 is equal to 40/100 or 40%.

For the relation S:{(2,3),(−1,4), (1,6)}. a Find the domain. B. Find range

Answers

Answer:

domain: {2, -1, 1}

range: {3, 4 6}

Step-by-step explanation:

In the relation of the form (x,y)

Set of all possible value of X is called Domain

Set of all possible value of Y is called  Range

To get a list of domain and range it is required to separate value of x and y

_________________________________

Relation given in the problem

S:{(2,3),(−1,4), (1,6)}

domain: {2, -1, 1}

range: {3, 4 6}

2 Points
Which of the following is an advantage to using graphs and diagrams?
A. They sometimes give you too much information so you must
decide what is relevant to the problem,
O B. They help to visualize the problem.
C. They are always the most useful in any problem.
O D. They are best used alone.
SUB

Answers

Answer:

They help to visualize the problem

Step-by-step explanation:

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