Insert a digit to make numbers that are divisible by 15 if it is possible: 89…0

One-fourth of the residents of a particular community leave their garage doors unlocked when they go out to do an errand. The lo

Inessa [10]

Answer:

Required Probability = 0.625

Step-by-step explanation:

Given,

Probability of unlocked doors, P(U) = 0.25

Probability of locked doors, P(U') = 0.75

Probability of something being stolen when door is unlocked, P(S/U) = 0.05

Probability of something not being stolen when door is unlocked, P(S'/U) = 0.95

Probability of something being stolen when door is locked, P(S/U') = 0.01

Probability of something not being stolen when door is locked, P(S'/U') = 0.99\

probability of being stolen either door is locked or not,

P(S) =P(S/U).P(U) + P(S\U').P(U')

= 0.05 x 0.25 + 0.95 x 0.75

= 0.0125 + 0.0075

= 0.02

Probability that door was unlocked when while steeling can by given by

$P(U/S)\ =\ \dfrac{P(S/U).P(U)}{P(S)}$

$=\ \dfrac{0.05\times 0.25}{0.02}$

= 0.625

hence, the required probability is 0.625.

7 0

3 years ago

You have a Circle with a Radius of 3.5 what is the Radius?

Snowcat [4.5K]

The radius of circle is 3.5 only

6 0

2 years ago

Given the midpoint and one of the endpoints of a line segment, find the other endpoint. Midpoint: (0,3) Endpoint: (6,-3)

andrey2020 [161]

Answer:

$(-6,9)$

Step-by-step explanation:

Midpoint: (0,3)

Endpoint: (6,-3)

Use the midpoint formula:

$M=(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})$

Since you already have the midpoint and you need an endpoint, let the unknown endpoint be (x,y). Take the midpoint formula apart:

$\frac{x_{1}+x{2}}{2}=m_{x}$

$\frac{y_{1}+y_{2}}{2} =m_{y}$

$m_{x}$ and $m_{y}$ are the coordinates of the midpoint. Enter the known values of the midpoint into the equations:

$(0_{m_{x}},3_{m_{y}})\\\\\frac{x_{1}+x_{2}}{2}=0 \\\\\frac{y_{1}+y{2}}{2}=3$

Now enter the known endpoint values:

$(6_{x_{1}},-3_{y_{1}})\\\\\frac{6+x_{2}}{2}=0\\\\\frac{-3+y_{2}}{2}=3$

Solve for x. Multiply both sides by 2:

$2*(\frac{6+x}{2})=2*(0)\\\\6+x=0$

Subtract 6 from both sides:

$6-6+x=0-6\\x=-6$

Now solve for y. Multiply both sides by 2:

$2*(\frac{-3+y}{2})=2*(3)\\\\ -3+y=6$

Add 3 to both sides:

$-3+3+y=6+3\\y=9$

Now take the values of x and y and turn into a point:

$x=-6\\y=9\\(-6,9)$

Finito.

7 0

3 years ago

Which statement is false? All points with an x-value of 3 are located in Quadrant I. There is only one point on the coordinate p

elixir [45]

Answer: Choice A) All points with an x-value of 3 are located in Quadrant I.

We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.

We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.

7 0

3 years ago

Read 2 more answers

Abe, Bella, and Carlos have all earned some college credits. Bella has earned 10 less credits than Abe, and Carlos has earned t

ycow [4]

Set Abe as x
set Bella as y
set Carlos as z

Bella has earned 10 less credits than Abe
y=x-10

Carlos has earned two less than double the number of Abe’s credits
z=2x-2

Altogether, they have earned a total of 136 credits
x+y+z=136

replace y with x-10
replace z with 2x-2
x+(x-10)+(2x-2)=136
solve for x
4x-12=136
4x=148
x=37

We now know Abe earned 37 credits
To find how much Bella earned plug in 37 for y=x-10
y=27
To find how much Carlos earned plug in 37 for z=2x-2
z=72

Therefore,
Abe earned 37 credits
Bela earned 27 credits
Carlos earned 72 credits

7 0

3 years ago