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kakasveta [241]
3 years ago
15

Find the probability of getting exactly three cars that fail among six cars tested

Mathematics
1 answer:
Fantom [35]3 years ago
3 0
3 : 6 is the ratio of the probability of that
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Write an equation in slope-intercept form of the line that passes through the given points.(3,5) and (0,4) please answer with al
alukav5142 [94]

Answer:

Y = (1/3)X + 4  

Step-by-step explanation:

You need to know the equation Y = mX + b, for two sets of coordinates

Therefore we need to find the slope and the interception of the given points.

1) The slope of the line

We can use the point slope form, and clear for the slope m

y - y1 = m (x-x1)

m = (y -y1) / (x -x1)

The data given is: A (3, 5) and B (0, 4)

Then substitute in the slope: m = (5 -4)) / (3 -0) = (1/3)

m = 1/3

2) Find the interception

From the general  equation slope intercept  Y = mX + b, clear b

b = Y - mX

Now substitute any given point to obtain b the interception

b = Y - mX

Lets choose point A (3, 5), remember m = 1/3

b =5 - (1/3)(3)= 4

b = 4

3) Therefore with the values of m and b, the general equation for the slope intercept form is:

Y = mX + b   -->  

Y = (1/3)X + 4  

7 0
3 years ago
PLS HELP ASAP
Contact [7]

Answers:

Equation is (x+1)^2 + (y+2)^2 = 25

Center is (-1, -2)

Radius = 5

===========================================

Work Shown:

x^2+2x+y^2+4y=20\\\\(x^2+2x)+(y^2+4y)=20\\\\(x^2+2x+1)+(y^2+4y)=20+1\\\\(x^2+2x+1)+(y^2+4y+4)=20+1+4\\\\(x+1)^2 + (y+2)^2 = 25\\\\

center = (h,k) = (-1,-2)

radius = 5

-----------------------------

Explanation:

I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.

Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2

The last equation is in the form (x-h)^2 + (y-k)^2 = r^2

We can think of x+1 as x - (-1) to show that h = -1

Similarly, y+2 = y-(-2) = y-k to show that k = -2

The center is (h,k) = (-1,-2)

The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.

3 0
2 years ago
7b-b+1+3b<br> I’m trying to combine like terms plz help
svp [43]

Answer:

9b+1

Step-by-step explanation:

combine like terms

7b-1b+3b=9b

6 0
2 years ago
Read 2 more answers
Simplify 3(x+2)-9x+5
Nimfa-mama [501]
It would be...
-6x+11
6 0
2 years ago
Read 2 more answers
1/2 + 1/3 equals? what?
irinina [24]
1/2 + 1/3 = 1/6 or <span>0.166667</span>
5 0
3 years ago
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