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dybincka [34]
4 years ago
7

A number from 0 to 9 is randomly selected and then a letter from A to D is randomly selected. What is the probability that the n

umber 3 and a consonant are selected? Express as a fraction in simplest form.
Mathematics
1 answer:
maw [93]4 years ago
7 0

Answer:

3/20

Step-by-step explanation:

First we must get the total amount of possibilities.

We have ten numbers(0 included) and 4 letters. 10 * 4 = 40, so 40 total possibilities.

Now, let's see how many possibilities we can have for this.

Consonants in the 4 letters are B, C, D. This means we have 3 possibilities, but we ACTUALLy have 6 since it could b then 3, or 3 then b for all the letters.

So, we end up having 6/40 which simplifies in to 3/20

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Find an equation in standard form of the parabola passing through the points (1, -2), (2,-2), (3,-4)
Yuliya22 [10]
The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4

double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.


8 0
3 years ago
What is the solution of the equation over the complex numbers
denis-greek [22]

<u>Answer:</u>

2i\sqrt{3}

-2i\sqrt{3}

<u>Step-by-step explanation:</u>

x^2 + 12

First set the equation to 0

x^2 + 12

x^2 + 12 = 0

Second, get the 12 on the right side of the equal sign by adding a -12 to each side

x^2 + 12 = 0

x^2 + 12 + (-12) = 0 -12

x^2 = -12

Square root both sides of the equal sign.

x^2 = -12

\sqrt{x^2} = \sqrt{-12}

Take the square root on left sides of the equal sign.

\sqrt{x^2} = \sqrt{-12}

x = \sqrt{-12}

Take the square root on the right side of the equal sign. Remember \sqrt{-1} = i

x = \sqrt{-12}

x = \sqrt{4}*\sqrt{-1}\sqrt{3}}

x = 2i\sqrt{3}

<u>AND</u>

x = -2i\sqrt{3}

8 0
4 years ago
What is the difference between 12/8 and 3/4?
Katen [24]

Answer:

3/4

Step-by-step explanation:

Difference means subtraction

12/8 - 3/4

We need a common denominator of 8

12/8 - 3/4 * 2/2

12/8  - 6/8

 6/8

Divide by 2 in the numerator and denominator

 3/4

6 0
3 years ago
Read 2 more answers
Do –2(3x – 1) = –6x – 1 have one solution
PolarNik [594]

Answer:

No solutions

Step-by-step explanation:

–2(3x – 1) = –6x – 1

First distribute the left side

-6x + 2 = -6x - 1

Add 1 to both sides

-6x + 3 = -6x

Add 6x to both sides

3 = 0

This equation is not true because 3 does NOT equal 0. Therefor, this equation has no solutions.

4 0
3 years ago
Read 2 more answers
You have agreed to loan some money to a friend at a simple interest rate of 180% which is outrageous but still about half of the
choli [55]

Answer:

the amount borrowed is ≅ $527

Step-by-step explanation:

Given that;

simple interest rate r = 180%  p.a

Let the amount borrowed (principal) be $x.

time t  = 4 weeks = 28 days

= 28/365 year

= 0.0767 year

we all know that :

Simple \ \  interest = \dfrac{P*r*t}{100}

Simple \ \  interest = \dfrac{x*180*0.0767}{100}

Simple interest = 0.13806x

Total amount to be paid after 4 weeks= Interest+Principal

= x + 0.13806x

= 1.13806x

Thus;

1.13806x = $600

x = $600/ 1.13806

x = $527.21

Hence; the amount borrowed is ≅ $527

3 0
4 years ago
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