What is the value of this expression when c= -4 and d = 10?<br> 1/4(c3+d2)

Help ASAP ill give you brainlist. but explain

Lyrx [107]

Answer:

b, 45

Step-by-step explanation:

The spinner shown has eight congruent sections. The spinner is spun 120 times. What is a reasonable prediction for the number of times the spinner will land on an even number?

Before I begin, let's go over probability.

The probability of an event is: (the number of ways something can happen) / (total number of outcomes possible). So, for example, the probability of rolling a one on a die can be found like:

There is 1 way to roll a one, and 6 possible sides, so the probability is 1/6.

And, if we were to roll the die 60 times, we could expect about 1/6 of the times to be a one, so we should expect a one to be rolled 1/6 * 60 = 10 times.

Now, onto the problem.

Each portion is congruent (they all have the same area). Thus, there is a 1/8 chance of landing on 1, a 1/8 chance of landing on 9, etc.

5 sections are odd, while 3 sections are even. So, the chance of landing on an even number is:

(3 ways to land on an even number) / (8 possible outcomes) = 3/8

If there is a 3/8 possibility to land on even, and there are 120 outcomes, we can say that an even number statistically should be rolled 3/8 * 120 times.

3/8 * 120 = 45

Thus, the answer is b, 45 times

Just in case, let's check the answer by finding the number of times we should roll an odd number and adding it to the number of even times and if it adds up to 120, then the answer is correct.

Because there is a 5/8 chance of getting an odd number, there should be about 5/8 * 120 = 75 times that an odd number is spun.

75 + 45 = 120, so the answer is correct.

I hope this helps! Feel free to ask any questions!

4 0

3 years ago

An urn initially contains 5 white and 7 black balls. Each time a ball is selected, its color is noted and it is replaced in the

iragen [17]

Answer:

A. P("Select 2 black balls and then select 2 white balls")=35/768

Step-by-step explanation:

A. First, we have to get an idea of what our experiment talks about:

If I take a black ball, then we note its color and put it back to the urn with 2 more balls of the same color.

So, every time that we take a ball the quantity of balls in the urn changes with the probability that we had before replacing. The first case (that the first ball you select is black) would go like this:

P("Select a black ball first try") = 7 (number of black balls)/12 (total of balls in the urn)

P(B₁)=7/12

Then, the amount of balls in the urn rise to 14 (12 + 2 balls added) and now the quantity of black balls it´s 9 (7 + 2 added). The urn currently has 9 black balls and 5 white balls, of course:

P("Select black ball second try after getting a black ball before") = 9 (number of black balls)/ 14 (total of balls in the urn)

P(B₁B₂)=9/14

<u>Notice that while we keep taking black balls, the quantity of white ball keeps constant</u> and, for the probability that we take a white ball, we just consider the change in the number of balls in the urn

P(B₁B₂W₃)=5/16

And now, we consider the new white balls that are put in the urn (2 white balls, for a total of 18 and 7 white balls):

P(B₁B₂W₃W₄)=7/18

Because all these probabilities are chained and everything comes from the first ball we choose <u>(if you use a tree diagram, they will be in the same branch</u>), we multiply the probabilities to find the probability that all happens in the same experiment:

P(B₁)*P(B₁B₂)*P(B₁B₂W₃)*P(B₁B₂W₃W₄) = 7/12 * 9/14 * 5/16 * 7/18 = 2205/48384

P(B₁)*P(B₁B₂)*P(B₁B₂W₃)*P(B₁B₂W₃W₄)=35/768

And this is the final answer

7 0

3 years ago

A line y=mx+b is translated using the vector . Write the equation of the translated line. What is the value of the y -intercept?

schepotkina [342]

The found value are-

Equation of the translated line: y = mx − am + 2b.
The value of the y -intercept: 2b − am.

<h3>What is general form of straight line?</h3>

A straight line's general equation is y = mx + c, in which m is the gradient and y = c is the value at which the line intersects the y-axis. This number c is known as the y-axis intercept.

Now, as per the given question;

The general equation of the line is given as;

y = mx + b

Each point (x,y) of the line is moved to the point (x+a, y+b) by the translation:

(x,y) ---> (x+a, y+b)

We find the original line's x and y intercepts:

Put y=0 in general equation of the line

⇒mx+b = 0

⇒x = −b/m

When, x=0

⇒y = m⋅0 + b

⇒ y = b

A, (0,b) and B( -b/m, 0)

We find the translational coordinates of the points A,B:

A(0,b) ---> A′ (0+a,b+b)

A(0,b) ---> A′ (a,2b)

And,

B( -b/m, 0) ----> B'( -b/m + a, 0 + b)

B( -b/m, 0) ----> B'( -b/m + a, b)

To find the equation of the line's translation, we use the points A and B ′:

m' = (2b - b)/[a - (-b/m +a)]

m' = b/(b/m)

m' =m

And,

y−yA' = m' (x−xA')

y−2b=m(x−a)

y=mx−am+2b

The translation of the line's x and y intercepts are:

Put x=0

⇒y = m⋅0−am+2b

⇒y = 2b−am

And, put y=0

⇒0 = mx−am+2b

⇒x = a - (2b/m)

Therefore, the equation of the translate line is found to be y = mx − am + 2b.

And, the value of the y-intercept is found to be 2b−am.

To know more about the general form of straight line, here

brainly.com/question/4227212

#SPJ4

3 0

1 year ago

What is the distributive property for 6x83

Oksana_A [137]

Answer:

498

Step-by-step explanation:

6 × 83

Using distiributive property

We can solve the expression by using a method called decomposing the multiplier.

= 6 × (80 + 3)

= 6 × 80 + 6 × 3

= 480 + 18

= 498

8 0

3 years ago

¿En què situaciones usamos los nùmeros enteros positivos y negativos, escribe 2 ejemplos de cada uno? Por favor para ahora hocin

natulia [17]

Respuesta:

Los enteros positivos, o números enteros, se utilizan de muchas maneras durante la vida diaria. Los números de carretera se contabilizan junto con los límites de velocidad de la carretera. Los enteros se utilizan para comprender qué velocidad conducir en una carretera determinada. Los números en los relojes se utilizan para entender la hora y para configurar las alarmas del reloj. Hay números en edificios y casas para identificar direcciones y números para los niveles de piso dentro de los edificios. Los mapas utilizan enteros para proporcionar dirección e información. Los enteros negativos pueden ser menos obvios para su uso en la vida cotidiana. Algunos ejemplos de uso negativo de enteros incluyen las lecturas del termómetro, manteniendo la puntuación en un juego de hockey, altitud y bancos. Aunque todos estos ejemplos utilizan enteros positivos, también utilizan enteros negativos. Un termómetro utiliza negativo enteros para representar temperaturas por debajo de cero. En hockey, cuando el otro equipo anota en la línea del primer equipo, es un menos, pero cuando el primer equipo anota, es un plus. La altitud que está por debajo del nivel del mar está representada con números negativos. Los bancos y las cooperativas de crédito representan débitos con enteros negativos y créditos con enteros positivos.

8 0

3 years ago

What is the value of this expression when c= -4 and d = 10? 1/4(c3+d2)