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2 years ago

Jaun rides the bus to school each day he always arrives at his bus stop on time but his bus is late 80% of the time

Mathematics

1 answer:

Yuri [45]2 years ago

8 0

The correct probability that Juan's bus is going to be late every week next week is 20 percent.

<h3>How to solve for the probability</h3>

We have the total number in the stimulation on to be from 0 to 9

On the fact that it would be late, the number ranges from 2 to 9

Hence the fact that it would be late would be

2/10

= 0.2

0.2 is also the same as 20 percent.

<h3>Complete question</h3>

Juan rides the bus to school each day. He always arrives at his bus stop on time, but his bus is late 80% of the time. Juan runs a simulation to model this using a random number generator. He assigns these digits to the possible outcomes for each day of the week:

• Let 0 and 1 = bus is on time

• Let 2, 3, 4, 5, 6, 7, 8, and 9 = bus is late

The table shows the results of the simulation.

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Which graph represents the linear function y = x 3/4– 4?

ahrayia [7]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=\frac{3}{4}x-4$

This is a linear equation (the graph is a line)

To identify the graph find out the intercepts

Find out the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=\frac{3}{4}(0)-4=-4$

The y-intercept is the point (0,-4)

Find out the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$0=\frac{3}{4}x-4$

$\frac{3}{4}x=4$

$x=16/3=5.33$

The x-intercept is the point (5.33,0)

therefore

The graph in the attached figure

3 0

3 years ago

weqwewe [10]

Answer:

b. g(x) = ƒ(3x)

Step-by-step explanation:

We can use the graph to find the transformation which has been performed to obtain g.

g(x) is more stretched than x which means the function values are multiplied by some integer to obtain g(x). This eliminates the options a and d.

Now to check which factor is used to transform the function f(x) we can divide the x-coordinates of the points of new and old function.

So,

6/2 = 3

-6/-2 = 3

The function is stretched by a factor of 3.

Hence, the correct answer is:

b. g(x) = ƒ(3x) ..

6 0

3 years ago

What is the quantity 0.0075 meters expressed in centimeters? 0.075 cm 0.75 cm 7.5 cm 70.5 cm?

Alex787 [66]

0.75 because 100cm = 1m so you just move the decimal to the right by 2

5 0

3 years ago

Uma loja de equipamentos eletrônicos anunciou um celular com duas opções de venda. Na primeira opção, o pagamento pode ser feito

Lena [83]

Responda:

Preço = $ 400

Explicação passo a passo:

Dado que:

Primeira opção :

Pagamento em 5 investimento igual

Segunda opçao :

Pagamento feito em 8 iguais. Investimento

O preço por parcela do primeiro investimento é 30 a mais do que cada um do segundo

Deixe o preço do telefone = p

Valor por prestação = x

Segunda parcela:

Preço = 8x

Primeiro :

Valor por parcela = x + 30

P = 5 (x + 30)

Preço = 5x + 150

Portanto, igualando as duas equações:

8x = 5x + 150

8x - 3x = 150

5x = 150

x = $ 50

Usando qualquer das equações de preço:

Preço = 8x

Preço = 8 * 50

Preço do telefone = $ 400

3 0

3 years ago

A line is tangent to the circle x^2+y^2=41, at the point (-4,-5)

VashaNatasha [74]

If the equation of the circle is x^2+ y^2 = 41, we must first understand the parts of the equation.
A general circle's equation is (x-h)^2+(y-k)^2= r^2
(h.k) is the radius of the circle
r is the radius of the circle
Another useful fact to know is that tangent lines touch the circle at one point (4,5)

Since in our original equation there are no h or k values, we can assume that the center of the circle is (0,0).

The formula for slope is Y1-Y2
X1-X2
We can break this down with our two points (center and tangent)
(0,0) and (-4,-5)
(X1,Y1) and (X2,Y2)

therefore, we will put the equation as such
0-(-5)= 5 = 5
0-(-4)= 4  4

this is our slope from the center to the point of tangency.

We know that tangent lines are perpendicular to the radius, which we've already found the slope of. Perpendicular lines are opposite reciprocals of the line they are perpendicular to.

Therefore, we take our slope from center to the tangent, and make it opposite and then take the reciprocal of that slope, which will give us the slope of the tangent line itself. (note: reciprocal means flip the numerator and denominator)
5 = -5 = -4
4 4 5

Now, we have a point on the line, and the line's slope. We can use slope-intercept equation to find the equation of the line.

Slope-int y=mx+b
(x,y) is a point,
m is the slope
b is the y intercept ( the point where x=0, or where its on the y axis)

now we plug things in
(-4,-5) is our point,
-4 is our slope
5

-5=-4(-4)+b After we plug things in, solve for b
5

-5= 3.2+b

-1.8= b or b= 1 4
5

Now we just need to rewrite our equation with all our components.
(-4.-5) = point
-4 = slope
5
1 4 = y-intercept
 5

y=-4 x+ 1 4 This is the equation of the tangent line
 5 5

Hope that helped

7 0

4 years ago