Suzie's Plumbing uses a linear model to determine the total cost, in dollars, of a service call.

A television game show has 12 doors, of which the contestant must pick 3. Behind 3 of the doors are expensive cars, and behind

almond37 [142]

The probability that the contestant wins at least one car is 3/5.

<h3>What is the probability?</h3>

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

For 1 car, we consider two possible outcomes:

P(1 car) = 2/6 x 4/5 + 4/6 x 2/5

P(1 car) = 8/15

For no car in either door

P(no car) = 4/6 x 3/5

P(no car) = 2/5

The probability that the contestant wins at least one car is the sum of the probability of one car and the probability of two cars:

P(2 cars) = 2/6 x 1/5

= 1/15

P(1 car) + P(2 cars) = 8/15 + 1/15

= 3/5

Learn more about probability here;

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8 0

2 years ago

2<br> 3<br> x +<br> 1<br> 2<br> y = 2<br> 3<br> 8<br> x +<br> 5<br> 6<br> y = −<br> 11<br> 2

Allushta [10]

Answer:

The answer is in the image below

3 0

3 years ago

Solve the inequality:

yarga [219]

Answer:

its A

Step-by-step explanation:

Because m > 6/7. and if you do the sloving it will be 2 or greater

Hope that helped

follow if you need more help

3 0

3 years ago

What is the row echelon form of this matrix?

USPshnik [31]

The row echelon form of the matrix is presented as follows;

$\begin{bmatrix}1 &-2 &-5 \\ 0& 1 & -7\\ 0&0 &1 \\\end{bmatrix}$

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

$\begin{bmatrix}-3 &6 &15 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}$

The conditions of a matrix in the row echelon form are as follows;

There are row having nonzero entries above the zero rows.
The first nonzero entry in a nonzero row is a one.
The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

$\begin{bmatrix}1 &-2 &-5 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}$

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 1&0 &-1 \\\end{bmatrix}$

Subtracting Row 1 from Row 3 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 0&2 &4 \\\end{bmatrix}$

Adding Row 2 to Row 3 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 0&0 &18 \\\end{bmatrix}$

Dividing Row 2 by -2, and Row 3 by 18 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& 1 & -7\\ 0&0 &1 \\\end{bmatrix}$

The above matrix is in the row echelon form

Learn more about the row echelon form here:

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8 0

1 year ago

Please help me gotta pass

Rudik [331]

Answer:

Y=59 Z=93

Explanation:

To find Z, you have to know the line is equal to 180 degrees. You then subtract 180-87=93 that’s how you get Z. Then with that you know that 34+Y is going to equal 93 because they are across from each other. I forgot what that property is called, but yeah. Then you subtract 93-34=59 there you go hope that helps :)

4 0

3 years ago