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3 years ago

Jon has 32 trading cards. He

Mathematics

2 answers:

mart [117]3 years ago

7 0

Answer:

Step-by-step explanation:

Take the number of cards and divide by the number of cards to determine the number of piles

32/8

There are 4 piles

trasher [3.6K]3 years ago

4 0

Answer:

4 piles

Step-by-step explanation:

32 ÷ 8 = 4

8 cards in a pile. 8, 16, 24 ,32.

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Suppose that each customer asks to sample a food item with probability 1/4, independently of all other customers. The service ti

lubasha [3.4K]

Answer:

An approximately 2 minutes is expected to reach the front of the line

Step-by-step explanation:

Expected value of minutes =

(1/4)^(1/5) + (1 - 1/4)^(1/5)

= (1/4)^0.2 + (3/4)^0.2

= 0.7579 + 0.9441

= 1.702.

≈ 2 minutes

8 0

3 years ago

What is the solution set of the equation using the quadratic formula?

oee [108]

(1)

we are given

$x^2+6x+10=0$

we can use quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

now, we can compare and find a , b and c

we get

$a=1,b=6,c=10$

now, we can plug these values into quadratic formula

$x=\frac{-6\pm \sqrt{6^2-4(1)(10)}}{2(1)}$

$x=\frac{-6+\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}$

we can simplify it

$x=-3+i$

$x=\frac{-6-\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}$

$x=-3-i$

so, we will get solution

{−3+i, −3−i}.........Answer

(2)

we are given equation as

$x^2-8x+14=0$

Since, Jamal solve this equation by completing square

so, firstly we will move constant term on right side

so, subtract both sides by 14

$x^2-8x+14-14=0-14$

$x^2-8x=-14$

we can write

$-8x=-2\times 4\times x$

so, we will add both sides by 4^2

$x^2-8x+4^2=-14+4^2$

we get

$x^2-8x+16=-14+16$ ..............Answer

4 0

3 years ago

How many meters is 4 feet?

Alenkasestr [34]

1.2192 meters in 4 feet

5 0

3 years ago

Read 2 more answers

Koalas sleep for 20hours a day. For what fraction of a day do koalas sleep?

vagabundo [1.1K]

Answer:

5/6

Step-by-step explanation:

There are 24 hours a day and a koala sleeps for 20 hours of it:

20/24

5/6

5 0

3 years ago

Read 2 more answers

Solve the system using elimination: -3x - 3y = 12 -9x + 3y = -24<br><br>The answer is not (-1,-3)

FinnZ [79.3K]

Answer:

{x = 1, y = -5

Step-by-step explanation:

Solve the following system:

{-3 x - 3 y = 12 | (equation 1)

{3 y - 9 x = -24 | (equation 2)

Swap equation 1 with equation 2:

{-(9 x) + 3 y = -24 | (equation 1)

{-(3 x) - 3 y = 12 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{-(9 x) + 3 y = -24 | (equation 1)

0 x - 4 y = 20 | (equation 2)

Divide equation 1 by 3:

{-(3 x) + y = -8 | (equation 1)

{0 x - 4 y = 20 | (equation 2)

Divide equation 2 by 4:

{-(3 x) + y = -8 | (equation 1)

{0 x - y = 5 | (equation 2)

Multiply equation 2 by -1:

{-(3 x) + y = -8 | (equation 1)

{0 x+y = -5 | (equation 2)

Subtract equation 2 from equation 1:

{-(3 x)+0 y = -3 | (equation 1)

{0 x+y = -5 | (equation 2)

Divide equation 1 by -3:

{x+0 y = 1 | (equation 1)

{0 x+y = -5 | (equation 2)

Collect results:

Answer: {x = 1 , y = -5

5 0

3 years ago