Hannah selects a marble randomly from a jar containing 11 green, 5 yellow, and 4 red marbles. Develop a probability model based on theoretical probability

Step-by-step explanation:

s3d4drks3ks2srddex5v5

Answer:

21.1cm

Step-by-step explanation:

Hello :)

The volume of a sphere can be found by this equation:

[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.

Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.

[tex]V=\frac{4}{3} \pi r^3[/tex]

[tex]32398=\frac{4}{3} \pi r^3[/tex]

Now, let's isolate the r variable by dividing 4/3 and pi to the other side.

[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]

We can get rid of the exponent by square rooting by 3.

[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]

If we plug this into the calculator, the r=21.1

Which means the radius of the sphere is 21.1 cm.

Answer:

21.1 CM

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

Neither triangle

Step-by-step explanation:

Define an irrational number that cannot be written as a fraction (denominator of 1 or 0 does are excluded).

Both triangles are good examples of common Pythagorean triples.

The Pythagorean theorem states that for any right triangle, the following is true:

[tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Using this theorem we can solve for the hypotenuse of both triangles:

Triangle 1:

[tex]3^2+4^2=h^2,\\h^2=25,\\h=5\:\text{(rational)}[/tex]

Triangle 2:

[tex]0.5^2+1.2^2=h^2,\\h^2=1.69,\\h=1.3\:\text{(rational)}[/tex]

Answer:

True

Step-by-step explanation:

This is so basic haha but happy to help

Making 'b' the subject of formula gives b = a² - 6

It is important to note that the subject of formula is described as a variable that is made up to stand alone in an equation.

The subject of formula is the variable that is worked out on on side of the equation sign.

From the information given, we have the equation;

a = [tex]\sqrt{(b + 6)}[/tex]

To make 'b' the subject of formula, we take the following steps;

Find the square of both sides, we get;

a² = [tex](\sqrt{(b + 6)} ^2[/tex]

Cancel out the square, we get;

b + 6 = a²

collect the other terms on one end of the equation, we have;

b = a² - 6

Hence, the equation is b = a² - 6

Learn more about subject of formula here:

https://brainly.com/question/10643782

#SPJ1

Answer:

Time spend in walking = 3.2 hour = 3¹/₅ hour

Step-by-step explanation:

Given:

Total time taken = 4 hour

Speed when run = 8 mph

Speed when walk = 2 mph

Find:

Time spend in walking

Computtaion:

We know that;

Time = Distance / Speed

Assume;

One side distance = D

So,

D/8 + D/2 = 4

2D + 8D = 64

10D = 64

D = 6.4

So,

One side distance = 6.4 mile

Time spend in walking = One side distance / Speed when walk

Time spend in walking = 6.4 / 2

Time spend in walking = 3.2 hour = 3¹/₅ hour

Answer:

70

Step-by-step explanation:

Ok so we first add 4.75 and 5.25. 4.75+5.25=10. So 10 hours each day so 10 x 7 = 70. 70 hours in 7 days

Answer:

i would say it is either 30 or 35

Step-by-step explanation:

7/2=3.5

so you would round it down to 3 or keep it that

and 4.75+5.25=10

3(10)=30 and 3.5(10)=35

If it's every two days.

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore AC = BC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 2x - 6 = x + 8[/tex]

[tex] \therefore 2x - x= 6 + 8[/tex]

[tex] \therefore x= 14[/tex]

[tex] AC = 2x-6=2(14)-6=28-6= 22[/tex]

[tex] BC= x + 8=14 + 8= 22[/tex]

AB = AC + BC = 22 + 22 = 44

C.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore BC = AC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 7x-5=4x+10 [/tex]

[tex] \therefore 7x - 4x= 5 + 10[/tex]

[tex] \therefore 3x= 15[/tex]

[tex] \therefore x= \frac{15}{3}[/tex]

[tex] \therefore x= 5[/tex]

[tex] AC = 4x+10=4(5)+10=20+10= 30[/tex]

[tex] BC= 7x - 5=7(5)-5=35-5= 30[/tex]

AB = AC + BC = 30 + 30 = 60

Answer:

58

Step-by-step explanation:

It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.

Answer:

the outlier is 58. it skews the data

Step-by-step explanation:

Answer:

depends on the cases. they all have different uses

Step-by-step explanation:

transformation : f(x) --> g(x) = -2x + 4

Answer:

(f  ° g)(x) = 20x + 7

Step-by-step explanation:

(f  ° g)(x) = f(g(x)) = 5(4x - 1) + 12 = 20x - 5 + 12 = 20x + 7

Answer:

Option one (x-2)(x-3)

Step-by-step explanation:

We have x²-5x+6 =0

X²-3x-2x+6=0

X(x-3)-2(x-3)=0

(x-2)(x-3)=0

Answer:

$52

Step-by-step explanation:

Given data

Beth can buy T-shirts in packs of 5 for $5.55

Cost per shirt

=5.55/5

=$1.11

To buy 40 shirt

=1.11*40

=$44.4

In packs of 2 for $4.82

cost per shirt

=4.82/2

=$2.41

To buy 40 shirt

=2.41*40

=$96.4

Hence the best buy in packs of 5 for $5.55

and the cost per shirt is $1.11

He will save

=96.4-44.4

=$52

The required equation will be y ≤ 1/3 x - 4

The standard form of a linear equation is y = mx + b

Using the coordinate points (0, -4) and (3, -3)

m = -3+4/3-0

m = 1/3

Since the line cross the y-axis at y = -4, henc b = -4

Get the required equation;

y = mx + b

y = 1/3x - 4

Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4

Learn more inequality here: https://brainly.com/question/11613554

Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

Given :

⠀

To Find :

⠀

Solution :

Now,

⠀

According to the Question :

⠀

[tex]\longrightarrow\qquad \sf{{x + (x + 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{x + x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} - 64 {}^{ \circ}}}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x = {116}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{x = \dfrac{{116}^{ \circ}}{2} }}[/tex]

⠀

[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {58}^{ \circ} }}}[/tex]

⠀

Therefore,

⠀

Henceforth ,

Answer:

Step-by-step explanation:

We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is

n + q = 53

The VALUE equation relates how much each coin is worth to the total amount of money it equals:

.05n + .25q = 5.65.

Go back to the first equation and solve it for either n or q. I solved it for n:

n = 53 - q

Plug this into the second equation in place of n now to get:

.05(53 - q) + .25q = 5.65 and

2.65- .05q + .25q = 5.65 and

.20q = 3 so

q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are

n + 15 = 53 nickels and

n = 38 nickels.

Answer:

y = -10/3x + 5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of -10/3, and a y intercept of 5

We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!

Starting with the slope, substitute -10/3 as m in y=mx+b

y = -10/3x + b

Now for the y intercept, substitute 5 as b in the equation

y = -10/3x + 5

Hope this helps!

See more on this topic here: https://brainly.com/question/17788099

Answer:

624ft

Step-by-step explanation:

yeah you're welcome

484ft ^2

10x12x0.5=60

14x13=182

182+60=242 ft^2

242ft^2x2=484 because there are 2 of each of the visible sides

edit i messed up and changed my answer  

Answer:

A

Step-by-step explanation:

120 is the starting value, aka the price of the painting in 2014 before it is increased.

Answer:

C. The number of tiles needed to cover Region Z  is the same as the number of tiles needed to cover both Region X and Region Y.

Step-by-step explanation:

Answer:

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

0 (zero)

Step-by-step explanation:

The 8-sided die has numbers less than 9. So, they can never be greater than 9.

Answer:

Step-by-step explanation:

57.6

Answer:

57.6

Step-by-step explanation:

You multiply 72 by .8 because you have to change the percent into a decimal place to multiply it by. 0.8 is 80 hundredths and fractions are numbers out of 100. I hope I could help you :)

Answer:

El cliente puede ordenar una comida en 60 formas distintas.

Step-by-step explanation:

El cliente escoge una entrada de las cinco opciones disponibles, luego un plato principal de cuatro opciones disponibles y un postre de tres opciones disponibles. Es costumbre consumir primero una entrada, después un plato principal y finalmente, un postre.

Estadísticamente hablando, se debe considerar un producto de tres combinaciones, puesto que el orden no importa a la hora de pedir, como sigue:

[tex]n = _{5}C_{1}\times _{4}C_{1}\times _{3}C_{1}[/tex] (1)

Donde:

[tex]n[/tex] - Total de combinaciones al ordenar una comida (entrada, plato principal, postre)

[tex]_{5}C_{1}[/tex] - Combinaciones posibles para pedir una entrada.

[tex]_{4}C_{1}[/tex] - Combinaciones posibles para pedir un plato principal.

[tex]_{3}C_{1}[/tex] - Combinaciones posibles para pedir un postre.

Ahora, desarrollamos la operación:

[tex]n = \frac{5!}{(5-1)!}\times \frac{4!}{(4-1)!} \times \frac{3!}{(3-1)!}[/tex]

[tex]n = 5\times 4\times 3[/tex]

[tex]n = 60[/tex]

El cliente puede ordenar una comida en 60 formas distintas.

Answer:

F= -2.5

Step-by-step explanation:

divide both sides by two in order to isolate f.

by dividing by 2 on the left hand side it cancels out the /2 leaving you with only f

then because you divided the left hand side by 2 you need to do the same on the right therefore giving you -5/2 which equals -2.5

The value of f in the equation is -10.

'In mathematics, a variable is a symbol and placeholder for a quantity that may change. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.'

According to the given problem,

First we need to isolate the variable f:

⇒ [tex]\frac{f}{2}+ 9 = 4[/tex]

Now, transposing 9 to the right hand side,

⇒ [tex]\frac{f}{2}[/tex] = 4 - 9

⇒ [tex]\frac{f}{2} = -5[/tex]

⇒ f= ( -5 * 2 )

⇒ f= -10

Hence, the required value of the variable f is -10.

Learn more about linear equations here:

https://brainly.com/question/11897796

#SPJ2

Answer:

8 flags can be chosen for the first position

7 flags are left for the second position

6 flags are left for the third position

8 * 7 * 6 = 336