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2 years ago

14

You check 20 cartons of eggs. Three of the cartons have at least one cracked egg. What is the experimental probability that a ca

rton of eggs has at least one cracked egg?

1 answer:

LiRa [457]2 years ago

8 0

1.5/10 eggs will probably be cracked

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Write the equation of a circle in standard form with center ( -2,4) and radius 6. Show your work.

grigory [225]

Answer:

( x + 2 )² + ( y - 4 )² = 36

Step-by-step explanation:

Standard equation of a circle - ( x - h )² + ( y - k )² = r²

where r = radius and center is at ( h , k )

The given center is ( -2 , 4 )

Thus h = -2 and k = 4

and the given radius is 6

Thus, r = 6

that being said, we plug in the given values into the standard equation

( x - ( - 2 )² + ( y - 4 )² = 6²

Finally we simplify

In - ( -2 ) the two negative signs cancel out and it turns into + 2

6² = 36

The final equation of the circle is ( x + 2 )² + ( y - 4 )² = 36

8 0

2 years ago

Nick went canoeing on the river. He traveled 1 mile in 17 minutes. At this rate, how far

GaryK [48]

Answer:

5 miles

Step-by-step explanation:

1 mile per 17 minutes, the number of miles in 1 hour 25 minutes is the total time/the time it takes to walk a mile, 1 hour 25 minutes/17 minutes = 85/17 = 5 miles

4 0

2 years ago

If you know how to do it, please help me out :)

Artemon [7]

Answer:

Answer in explanation.

Step-by-step explanation:

Lets take

$y = \frac{3}{4} x - 5$

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

$6 = - \frac{4}{3} (8) + c \\ 6 = - \frac{32}{3} + c \\ c = 6 + \frac{32}{3} \\ = 16 \frac{2}{3}$

therefore L2:

$y = - \frac{4}{3}x + 16 \frac{2}{3}$

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

$6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\ = 0$

therefore L3:

$y = \frac{3}{4} x$

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2 years ago

At the music store Katelyn bought 2 packs of

kirza4 [7]

For one pack of guitar strings, it cost $14.00

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2 years ago

What describes the slope of this line

Rzqust [24]

zero slope is the answer

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2 years ago

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