16 girls and 14 boys put their names in a bag. One name is drawn from the bag. What is the probability that a boy's name will be pulled

Answers

Answer 1

Answer: [tex]\dfrac{7}{15}[/tex]

Step-by-step explanation:

Given

There are 16 girls and 14 boys

The favorable chances that a boy name comes up are 14

Probability is given by the ratio of favorable chances to the total chances

So, the probability that a boy's  name will be pulled is

[tex]\Rightarrow P=\dfrac{14}{14+16}\\\\\Rightarrow P=\dfrac{14}{30}\\\\\Rightarrow P=\dfrac{7}{15}[/tex]


Related Questions

Marla made $42 babysitting
for 5 hour's. How much money
did she make each hour?
A $8,40
B. 18.10
C. $1.90
D. $11.90
Help please

Answers

Answer: she made $8.40

Step-by-step explanation: divide 42 by 5 to get your answer

Answer:

A - $8.40

Step-by-step explanation:

You would have to do 45÷5

no link No link NO LINKS

Answers

Base=9
Height=10
A=90
I think

Answer:

Base 9

Height 10

A 90

Which number line represents the solution to 5x < 30? F # 10 0 2 4 6 8 + 0 2 4 6 8 10 H +00 0 4 6 10 N J o 2 4 6 8 10​

Answers

Answer:G i think sorry if wrong

Step-by-step explanation:

Answer:G

Step-by-step explanation:

hii can i pls have help, i will give brainliest:D

Answers

Answer:

4

Step-by-step explanation:

half gallon is 64 oz. 256 ÷ 64 is 4

Answer

4

Step-by-step explanation:

1 gallon = 128 fluid ounces

1/2 gallon = 64 fluid ounces

Use gallons to convert 256 fl oz then multiply result by 2

256 / 128 = 2

2 x 2 = 4

4 half gallon containers

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Alejandro compra un terreno de 0,3 hm cuadrados y 0,9 dam al cuadrados ¿cuanto ha pagado por el terreno

Answers

Answer:

Si el metro cuadrado es a $ 50 Alejadro pagó por el terreno  $195 000

Step-by-step explanation:

Ya que no se especifica un valor por unidad de área podemos suponer por  ejemplo $ 50 / metro^2

Terreno:

0.3 hm^2

0.9 dam^2

1) Vamos convertir a la misma unidad de área las áreas del terreno para poder saber su costo.

-Hectómetro cuadrado

1 hm^2  = 10 000 m^2

Por lo tanto,

0.3 hm^2 * 10 000 m^2 /  1 hm^2 = 3000 m^2

-Decámetro cuadrado

1 dam^2  = 1 000 m^2

Por lo tanto,

0.9 dam^2 *  1 000 m^2 /1 dam^2  = 900  m^2

Así que el total del terreno es de 3900 m^2

2) Ahora podemos calcular el valor total del terreno

area* valor (por m^2)

3900  m^2  * $50/ m^2 =  $195 000

Enter the
value of p so that the expression
3(n + 5) is equlvalent to (n + p)3

Answers

Answer:

p=5

Step-by-step explanation:

a(x+y) is also (x+y)a

So if 3(n+5) has to be equivalent to (n+p)3, then p has to be 5.

---

hope it helps

If a radius of a circle is 30 inches then it’s diameter is what? Please help ty!

Answers

Answer:

60 inches

Step-by-step explanation:

Radius is 1/2 of a diameter, so diameter is twice a radius. 30 x 2 = 60 inches

Hope that helps! :)

-Aphrodite

- Find the value of x. Round to the nearest tenth of a unit.
100 ft
T
20°
O 34.2 ft
O 36.4ft
O 94 ft
O 292 ft

Answers

[tex]x = 34.2[/tex]

[tex] \sin(20) = \frac{x}{100} \\ 0.3 = \frac{x}{100 } \\x = 100 \times 0.3 = 34.2[/tex]

Solve for x : (X+4) (x-3) =0

Answers

Answer:

x=-4,3

Step-by-step explanation:

x+4=0

x=-4

x-3=0

x=3

There were 63 people sitting in a school auditorium of which 1/7 were teachers, while the rest were students. How many teachers were sitting in the
auditorium?


Answers

Answer:

eat an apple it is good for you and others around you

Answer:

9 teachers were sitting in the auditorium.

Step-by-step explanation:

63 divided by 7 is 9.

Find the area of the circle. Round you answer to the nearest hundredth.

Answers

Answer: well first you need to send the picture

Step-by-step explanation:

1. Take the picture

2. Post it to brainly

3. Get your answer

A LITTLE HELP PLEASEEE!!

Answers

Answer:

i think it’s the 5th one

Step-by-step explanation:

Answer this please 7= - w/8

Answers

Answer:

[tex]w = - 56[/tex]

Step-by-step explanation:

[tex]7 = \frac{ - w}{8} [/tex][tex] \frac{ -w }{8} = 7[/tex][tex] - 8 \times \frac{ - w}{8} = - 8 \times 7[/tex]

[tex] - 1 \times ( - w) = - 8 \times 7[/tex]

[tex]1 \times w = - 8 \times 7[/tex]

[tex]w = - 8 \times 7[/tex]

[tex]w = - 56[/tex]

Hope it is helpful....

PLZ PLZ PLZ HELP ME PLSSSSS

Answers

Answer:

x = 70

Step-by-step explanation:

Answer:

Step-by-step explanation:

b/c we know that the inside angles of a triangle add to 180

180 = 38 + x + x + 2

180 = 40 + 2x

140 = 2x

70 = x

Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114​

Answers

Answer: 145

Step-by-step explanation:

check

PLEASEEE HELP!!!!
!!!ILL GIVE >>BRAINLIST<

Answers

Answer:

Step-by-step explanation:

Find the measure of the exterior <1 A 130 B 22 C 78 D 102

Answers

Answer:

C

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

B. 39, 45. C. 162, 972. D. 33, 39. 2. Based on the pattern, what are the next two ... If two angles are complementary, then the sum of their measures is 90°. ... D. alternate exterior angles. 56. 7. 8. 11. Find m2. The diagram is not to scale. 180 ... perpendicular to one of two parallel lines, then it is also perpendicular to the other.

A radio station signal covers a circular area out from the signal tower. It gets weaker the farther away your are. The local station WDHS (at location (0,0)) sends it signal out with a coverage radius of 5 miles. 1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning. 2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.

Answers

Answer:

1. We would hear better at Dunkin's since its distance from the radio station is the shortest.

2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.

Step-by-step explanation:

1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.

We need to find the distance of each point from the tower.

The shorter the distance from the radio station the better the signal.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.

2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.

The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.

So, we calculate the distance of each point from the radio station.

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles.

So, McDonald's is out of range of the radio station.

What is the value of x?

Answers

Answer:

5 units (you are right!)

Step-by-step explanation:

The triangles ABD and BCD are similar.

Therefore,

[tex]\frac{x}{10}=\frac{10}{4x} \\4x^{2}=100\\x^{2}=25\\x=5[/tex]

I hope this helped!

willl give brainlyist if quick its timedd

Answers

Answer: 0

Step-by-step explanation: The answer is 0

Answer:

y=0

Step-by-step explanation:

solve the equation d - 4= -12

d=16
d= - 16
d=8
d= - 8

Answers

-8 would be the correct answer!

Find the volume of the prism. ____ cu. ft.
HELPP IM TAKING A TEST AND I WILL GIVE BRAINLIEST AND EXTRA POINTS

Answers

12 (tell me if im wrong sorry if i am)

Step-by-step explanation:

Solve each equation for y (get into slope-intercept/y=mx + b form): a) 10x + 5y = 20 b) 3x - 2y = 10 + 4x
Don't forget to explain how you got the answers.

Answers

Answer:

see below

Step-by-step explanation:

We want to solve each equation for y, so y must be alone on one side of the equation.

a) 10x + 5y = 20

Subtract 10x from both sides.

5y = 20 - 10x

Place the x term in front to follow  y = mx + b form.

5y = -10x + 20

We want to isolate y completely, so divide both sides by 5. On the right side, be sure to divide each component by 5.

5y/5 = -10/5x + 20/5

y = -2x + 4

This equation is in slope-intercept form.

b) 3x - 2y = 10 + 4x

We can see that y is negative in this original equation. Let's add 2y to both sides to make y positive.

3x = 10 + 4x + 2y

Now we want to isolate y, so subtract 4x from both sides.

3x - 4x = 10 + 2y

Simplify.

-x = 10 + 2y

Isolate y further by subtracting 10 from both sides.

-x - 10 = 2y

Again, we want to isolate y completely, so divide both sides by 2. On the left side, be sure to divide each component by 2.

-x/2 - 10/2 = 2y/2

-1/2x - 5 = y

This looks backwards (although it is in slope-intercept form), so let's rearrange it just to make it more clear.

y = -1/2x - 5

This equation is in slope-intercept form.

Hope this helps!

How many lies of symmetry does this figure have ?

Answers

Answer:

B.

Step-by-step explanation:

You can draw draw ten lines through this figure to get symmetry either side.

Help me out please????

Answers

Answer:

fromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfrom

Step-by-step explanation:

PLEASE HELP ASAP ill give brainliest answer

Answers

Answer:

62.1=3 sig fig

185.3=4 sig fig

1,760= 3 sig fig

0.06= 1 sig fig

I don't know if that's all the questions you have or you didn't get the last one In the pic

21. identify the secant that intersects OA.

Answers

Answer: Line BC

=============================================================

Explanation:

A secant line cuts the circle so that part of the line is inside the circle, and the rest (or majority) of the line is outside the circle. In other words, the secant line intersects the circle at exactly two points.

This is in contrast to a tangent line that only touches the circle at exactly one point. Line L is the tangent line in this case.

Segment DC is a diameter of the circle as it goes through the center, and this segments endpoints are on the circle's edge. The segments AD and AC are radii of the circle.

Answer:

Line BC

Step-by-step explanation:

Find the length of the third side if necessary round to the nearest tenth

Answers

Answer:

H²=a²+b²

H²=4²+7²

H= 8.06

help please! quadratic equation and stretch factor

Answers

Answer:

Equation: f(x)=x²-4x+3

Stretch factor: a=1

Step-by-step explanation:

Notice the x-intercepts are (1,0) and (3,0) which can help us determine the equation by setting their expressions equal to 0 and expanding:

(x-1)(x-3)=0

x²-4x+3=0

Therefore, the equation is f(x)=x²-4x+3 where the stretch factor is a=1

(10.04 MC)

What cosine function represents an amplitude of 3, a period of π, no horizontal shift, and a vertical shift of 2? (6 points)

Group of answer choices

f(x) = 3 cos 2x + 2

f(x) = 3 cos πx + 2

f(x) = 2 cos πx + 3

f(x) = 2 cos 2x + 3

Answers

Answer:

f

(

x

)

=

3

cos

(

2

x

)

+

2

EXPLANATION:

We are able to use the transformation formula

f

(

x

)

=

a

cos

(

x

h

b

)

+

k

. You start with

f

(

x

)

=

cos

(

x

)

and replace

a

with the desired amplitude,

h

with the desired horizontal shift, and

k

with the desired vertical shift. This leaves out the

b

-value. A regular cosine function has a period of

2

π

. If you want a period of

π

, since that is one half of the original period, you need to replace your

b

with a

1

2

.

This is about how it would work out.

f

(

x

)

=

3

cos

(

x

0

1

2

)

+

2

From there you simplify your equation giving you

f

(

x

)

=

3

cos

(

2

x

)

+

2

Answer:

f(x) = 3 cos 2x + 2

Step-by-step explanation:

got it right on the test.

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