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Veseljchak [2.6K]
3 years ago
7

Four chips are distinctly labeled with the digits 2, 3, 1 and 7, one chip for each digit. Two chips are drawn at random without

replacement and placed in the order which they are drawn, from left to right, to form a two-digit number. What is the probability that the two-digit number is a prime number? Express your answer as a common fraction
Mathematics
1 answer:
gladu [14]3 years ago
7 0
Sample space is 12.5 of them are composite no.s.so 7 is prime.so,,,answer is 7/12
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What are the solutions of the quadratic equation? 4x^2+9x-9=0
vagabundo [1.1K]

Answer:

x=3/4

x=-3

Step-by-step explanation:

we have

4x^2+9x-9=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

4x^2+9x-9=0

so

a=4\\b=9\\c=-9

substitute in the formula

x=\frac{-9(+/-)\sqrt{9^{2}-4(4)(-9)}} {2(4)}

x=\frac{-9(+/-)\sqrt{225}} {8}

x=\frac{-9(+/-)15} {8}

x=\frac{-9+15} {8}=3/4

x=\frac{-9-15} {8}=-3

5 0
3 years ago
Read 2 more answers
Write an equation in point-slope form and slope-intercept form for each line.
Kobotan [32]

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B: Slope-intercept form: y = 4 x + 7 Point-slope form: y + 1 = 4 ⋅ ( x + 2 )

C: Slope-intercept form: y = 1/2 x − 8 Point-slope form: y + 4 = 1/2 ⋅ ( x − 8 )

7 0
2 years ago
Which statement would make this true<br> |-27|_____|-45|<br> A.greater<br> B.equal<br> C.less
Effectus [21]

Answer:

I would say the answer is A.

Step-by-step explanation:

Hope it helps :)

7 0
2 years ago
Factor the trinomial x^2 - 16x +63
Butoxors [25]
Factor the following:
x^2 - 16 x + 63
The factors of 63 that sum to -16 are -7 and -9. So, x^2 - 16 x + 63 = (x - 7) (x - 9):
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3 0
3 years ago
Marcus has 1,525 marbles and divides the marbles into 15 bags to seal each bag. How many marbles are in each bag and how many ma
Dmitry_Shevchenko [17]

Answer:

There are 101 marbles in each bag and 10 marbles left over

Step-by-step explanation:

We can use the modulus to find out left over. The modulus is the remainder of the division from one number by another number. For example, 7 % 2 = 1. When you divide 7 by 2, division is 3 but the remainder is 1.

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Now, we know that 1525 - 10 = 1515 marbles are equally put into each bag. That means each bag contains

1515 / 15 = 101 marbles

8 0
2 years ago
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