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MAXImum [283]
2 years ago
10

Which is the equation of the line that passes through the points (-4, 3) and (2, -6)?

Mathematics
1 answer:
olga55 [171]2 years ago
8 0

Answer:

B) y=-3/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-3)/(2-(-4))

m=-9/(2+4)

m=-9/6

simplify

m=-3/2

y-y1=m(x-x1)

y-3=-3/2(x-(-4))

y-3=-3/2(x+4)

y=-3/2x-12/2+3

y=-3/2x-6+3

y=-3/2x-3

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5.26 x 10^6 in standard form <br><br>PLS HURRY I ONLY GOT 10 MINS LEFT
aleksandr82 [10.1K]

Answer:

5,260,000

Step-by-step explanation:

I don't know if this is right - you can try it!!

4 0
2 years ago
The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged
Ganezh [65]

Answer:

a) P [ X < 24 mm ] = 0,3015          or     P [ X < 24 mm ] =  30,15 %

b) P [ X > 32 mm ]  = 0,1251          or        P [ X > 32 mm ]  = 12,51 %

c) P [  25 < X < 30 ] = 0,4964      or     P [  25 < X < 30 ] = 49,64 %

d) z(s) = 0,84

Step-by-step explanation:

Normal Distribution    N (  μ₀  ;   σ )   is  N ( 26,5 ; 4,8 )

a) P [ X < 24 mm ] = ( X - μ₀ ) / σ

P [ X < 24 mm ] = (24 - 26,5)/ 4,8 = - 0,5208 ≈ - 0,52

P [ X < 24 mm ] = - 0,52  

And from z-table we find area for z score

P [ X < 24 mm ] = 0,3015          or     P [ X < 24 mm ] =  30,15 %

b)P [ X > 32 mm ]  =  1  - P [ X < 32 mm ]

P [ X < 32 mm ]  = ( 32 - 26,5 ) / 4,8

P [ X < 32 mm ]  = 5,5/4,8  =  1,1458 ≈ 1,15

P [ X < 32 mm ]  = 1,15

And from z-table  we get

P [ X < 32 mm ]  = 0,8749

Then:

P [ X > 32 mm ]  =  1  -  0,8749

P [ X > 32 mm ]  = 0,1251          or        P [ X > 32 mm ]  = 12,51 %

c) P [  25 < X < 30 ] = P [ X < 30 ] - P [ X < 25 ]

P [ X < 30 ]  = 30 - 26,5 / 4,8   =  0,73

From  z-table    P [ X < 30 ]  =  0,7673

P [ X < 25 ] = 25 - 26,5 / 4,8  = - 0,3125  ≈  - 0,31

From z-table  P [ X < 25 ] =  0,2709

Then

P [  25 < X < 30 ] =  0,7673 -  0,2709

P [  25 < X < 30 ] = 0,4964      or     P [  25 < X < 30 ] = 49,64 %

d) If  20 %

z- score for 20% is from z-table

z(s) = 0,84

6 0
3 years ago
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes d
alekssr [168]

Answer:

<em>128</em>

Step-by-step explanation:

<em>Method A.</em>

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

<em>Method B.</em>

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

4 0
3 years ago
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There are 83 eggs that need to be put away in egg cartons that hold 6 eggs each. How many egg cartons are necessary to put away
Nostrana [21]

Answer:

you need 14 egg cartons

Step-by-step explanation:

5 0
3 years ago
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Which value of x is a solution of the inequality?
kkurt [141]
The answer is d. x = 4

because if you plug 4 in for x you get 20 - 3 [greater than or equal to] 13
20 - 3 is 17 and that's greater than 13
5 0
3 years ago
Read 2 more answers
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