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agasfer [191]
2 years ago
7

When an event takes place, one outcome is equally as likely to occur as it is to not occur. Which value could represent the prob

ability that the
outcome does not occur?
0
0.2
0.5

Mathematics
1 answer:
maxonik [38]2 years ago
5 0

Answer:

0.5

Step-by-step explanation:

If an event is equally likely to occur as it is not to accur, then it's 50% and 50%, which it's the same as 0.5

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(7th grade work) How many gallons of water were in the bucket after 1 second? Explain your thinking.
Veseljchak [2.6K]

Answer:0.5, half a gallon

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help me with 2 and 3 and use the elimination process!
grandymaker [24]

Answer:

2. Judy =$5

Ben= $4

Step-by-step explanation:

2. Let Judy =  x  and Ben =  y

8x + 10y = 80

9x + 5y = 65

Solve these simultaneous equations.

8 x  +  10 y  =  80

18 x  +  10 y  =  130

Take the second equation away from the first equation

− 10 x  =  − 50

x  =  5

This means that Judy gets paid $5 an hour.

Therefore, Ben gets paid $4 an hour.

Answer:

3. 24 quarters and 16 dimes

Step-by-step explanation:

3. Let the number of dimes = x and the number of quarters = y

                                    Value      Value

Type        Number       of             of

of             of                EACH      ALL

coin         coins            coin        coins

-------------------------------------------

dimes         x              $0.10       $0.10x

quarters      y             $0.25      $0.25y

-------------------------------------------

TOTALS    40                            $7.60

x + y = 40

0.10x + 0.25y = 7.60

Get rid of decimals by multiplying every term by 100:

10x + 25y = 760

So we have the system of equations:

x + y = 40

10x + 25y = 760

         

We solve by substitution.  Solve the first equation for y:

x + y = 40

y = 40 - x

Substitute (40 - x) for y in 10x + 25y = 760

      10x + 25(40 - x) = 760

      10x + 1000 - 25x = 760

           -15x + 1000 = 760

                  -15x = -240

                       x = 16 = the number of dimes.

Substitute in y = 40 - x

                     y = 40 - (16)

                     y = 24 quarters.

$1.60 + $6.00 = $7.60

I hope that helped, sorry for taking so long :-)

8 0
2 years ago
Here are six number cards -4,-2,-1,5,6,8 <br> arrange the cards into three pairs with the same total
mariarad [96]

Answer:

-4 and 8. -2 and 6. -1 and 5. all equals 4

Step-by-step explanation:

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2 years ago
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An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the
lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = \sigma = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

Grade B: 55% to 85%

Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for  0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

z=\frac{x-u}{\sigma}

For z = -1.56, we get:

-1.56=\frac{x-74.2}{9.6}\\\\ x = 59

For z = -0.88, we get:

-0.88=\frac{x-74.2}{9.6}\\\\ x = 66

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

7 0
3 years ago
Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discr
Bad White [126]

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

Where the determinant is D = b^2 - 4*a*c.

Now, if D>0

we have the square root of a positive number, which will be equal to a real number.

√D = R

then the solutions are:

x = \frac{-b +- R }{2*a}

Where each sign of R is a different solution for the equation.

If D< 0, we have the square root of a negative number, then we have a complex component:

√D = i*R

x = \frac{-b +- C*i }{2*a}

We have two complex solutions.

If D = 0

√0 = 0

then:

x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}

We have only one real solution (or two equal solutions, depending on how you see it)

3 0
3 years ago
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