Sanchez-45

Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the proba

Fittoniya [83]

Question:

A = {2, 3, 4, 5}

B = {4, 5, 6, 7, 8}

Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?

A. 0.15

B. 0.20

C. 0.25

D. 0.30

E. 0.33

Answer:

Option B: 0.20 is the probability of the sum of the two integers.

Explanation:

The sample space for selecting 2 numbers is given by

$4\times 5 = 20$

We need to determine the probability that the sum of two integers will be equal to 9.

Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.

Hence, the sets are $(2,7),(3,6),(4,5),(5,4)$

Thus, the total number of sets whose sum is equal to 9 = 4

The probability that the sum of the two integers will equal 9 is given by

$P=\frac{4}{20}$

$P=\frac{1}{5}$

$P=0.20$

Thus, the probability that the sum of the two integers will equal 9 is 0.20

Hence, Option B is the correct answer.

4 0

3 years ago

How do you determine whether a sum will be positive, negative, or 0 when adding a positive and a negative integer?

professor190 [17]

If the integers have the same absolute value ... they're the same number
but with different signs ... then their sum is zero.

Example: (plus) 927 added to (negative) 927 = zero

If the integers have different absolute values ... they're different numbers with different
signs ... then their sum has the same sign as the one with the bigger absolute value.

Examples:

==> (plus) 92 added to (negative) 91
   92 and 91 are 1 number apart on the number line.
   The positive number is bigger than the negative number.
   So the sum is +1 .

==> (plus) 35 added to (negative) 37
      35 and 37 are 2 numbers apart on the number line.
      The negative number is bigger than the positive one.
So the sum is -2 .

3 0

2 years ago

Janet is three years older than her sister Julie.Janets brother is 8 years younger Than Her sister Julie .the sum of all of thei

slavikrds [6]

x + x + 3 + x - 8

3x - 5 = 55

3x = 60, x = 20

Since we put Julie as x, we put Janet at x + 3, and the brother is x - 8 (8 years younger)

Julie is 20

Janet (x + 3) = (20 + 3) = 23

Brother(x - 8) = (20 - 8) = 12

5 0

3 years ago

Select the equations that are equivalent to the equation y-4=(x+2)

stiv31 [10]

All you have to do basically is make up an equation of your own and then plug in the numbers inplace of the variables while still keeping the equation true.

The answer can be anything from : 8-4= 2+2
And all you had to do was simply plug in numbers to make it true. Hoped i helped!

3 0

3 years ago

Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels

GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

$\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}$

Cross multiply

$350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200$

Divide both sides by 210

$\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph$

4 0

3 years ago