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3 years ago

13

A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 8-key keypad. Repetition of digits

is allowed. What is the probability of a correct guess on the first try?

1 answer:

lianna [129]3 years ago

7 0

Answer:

$\frac{1}{ {8}^{3} }$

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Graph the line that represents a proportional relationship between Y And x where the unit rate of change of y with their respect

aksik [14]

Answer:

$y=\frac{3}{8}x$

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Remember that

The unit rate of change is the same as the slope

so

In this problem

$m=\frac{3}{8}$

The linear equation is equal to

$y=\frac{3}{8}x$

To graph the line we need two points

we have (0,0) because the line passes through the origin

Determine other point

assume a value of x and calculate the value of y

For x=8

$y=\frac{3}{8}(8)=3$

The other point is (8,3)

Plot the points and join them to draw the line

The graph in the attached figure

3 0

3 years ago

Although a football field appears to be flat, some are actually shaped like a parabola so that rain runs off to both sides. The

iVinArrow [24]

Answer:

The ends of the field are at the zeros (x-intercept) of the function.

0 = -0.000234(x - 80)2 + 1.5 subtract 1.5 from both sides

-1.5 = -0.000234(x - 80)2 divide both sides by right coefficient

6410.25641 = (x - 80)2 take square root of both sides

80.064 = x - 80 add 8-0 to both sides

160.064 = x

The field is 160.064 feet wide.

The maximum is at the vertex, y = 1.5 feet

Step-by-step explanation:

7 0

3 years ago

What number is 80% out of 50?

ValentinkaMS [17]

It is saying that 80/100 which is .80, so 50*80%= 40

5 0

3 years ago

Westkost [7]

Answer: a

Step-by-step explanation:

5 0

3 years ago

1. Find the slope of the line passing through (-3,-4) and (-6,-2).

r-ruslan [8.4K]

Answer:

slope = - $\frac{2}{3}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 6, - 2)

m = $\frac{-2+4}{-6+3}$ = $\frac{2}{-3}$ = - $\frac{2}{3}$

8 0

4 years ago

Read 2 more answers