All categories

3 years ago

1 over 2 added to 2 over 5

2 answers:

6 0

1 over 2 added to 2 over 5
For this case, the first thing we must do is rewrite the expression:
(1/2) + (2/5)
Now add the fractions taking into account the cross product:
(1/2) + (2/5) =
((5) + (4)) / (10) =
Finally, we add the values that are in the numerator to obtain the final result:
(9/10)
Answer:
(1/2) + (2/5) = (9/10)

Natalka [10]3 years ago

4 0

1/2 + 2/5 = 5/10 + 4/10 = 9/10

You might be interested in

Seventy percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive

NeX [460]

Answer:

(a) 0.343

(b) 0.657

(d) 0.216

(e) 0.353

Step-by-step explanation:

Let P(a vehicle passing the test) = p

$p = \frac{70}{100} = 0.7$

Let P(a vehicle not passing the test) = q

q = 1 - p

q = 1 - 0.7 = 0.3

(a) P(all of the next three vehicles inspected pass) = P(ppp)

= 0.7 × 0.7 × 0.7

= 0.343

(b) P(at least one of the next three inspected fails) = P(qpp or qqp or pqp or pqq or ppq or qpq or qqq)

= (0.3 × 0.7 × 0.7) + (0.3 × 0.3 × 0.7) + (0.7 × 0.3 × 0.7) + (0.7 × 0.3 × 0.3) + (0.7 × 0.7 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.3)

= 0.147 + 0.063 + 0.147 + 0.063 + 0.147 + 0.063 + 0.027

= 0.657

= (0.7 × 0.3 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.7)

= 0.063 + 0.063 + 0.063

= 0.189

(d) P(at most one of the next three vehicles inspected passes) = P(pqq or qpq or qqp or qqq)

= (0.7 × 0.3 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.7) + (0.3 × 0.3 × 0.3)

= 0.063 + 0.063 + 0.063 + 0.027

= 0.216

(e) Given that at least one of the next 3 vehicles passes inspection, what is the probability that all 3 pass (a conditional probability)?

P(at least one of the next three vehicles inspected passes) = P(ppp or ppq or pqp or qpp or pqq or qpq or qqp)

= (0.7 × 0.7 × 0.7) + (0.7 × 0.7 × 0.3) + (0.7 × 0.3 × 0.7) + (0.3 × 0.7 × 0.7) + (0.7 × 0.3 × 0.3) + (0.3 × 0.7 × 0.3) + (0.3 × 0.3 × 0.7)

= 0.343 + 0.147 + 0.147 + 0.147 + 0.063 + 0.063 + 0.063

= 0.973

With the condition that at least one of the next 3 vehicles passes inspection, the probability that all 3 pass is,

$= \frac{P(all\ of\ the\ next\ three\ vehicles\ inspected\ pass)}{P(at\ least\ one\ of\ the\ next\ three\ vehicles\ inspected\ passes)}$

$= \frac{0.343}{0.973}$

= 0.353

3 0

3 years ago

Read 2 more answers

HELP PLEASE 3. Simplify the expression (5 points) [(7 + 3) • 5 - 4] = 2 + 2

krok68 [10]

Answer: 46 or 46=4

Step-by-step explanation:

Do what's in the Parenthesis first so 7+2=10 which now give you the equation

[10x 5-4]=2+2

Now we Multiply so we do 10x5 which is 50 so that now gives us the equation[50-4]=2+2

Now we add the 2+2 which is 4 giving us the equation [50-4]=4

Now we subtract 50-4 giving 46

46=4

5 0

3 years ago

Read 2 more answers

Which number is not a perfect square? A. 4 B. 9 C. 111 D. 81

Paladinen [302]

Answer:

C 111

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Danielle and David each have a job. Danielle earns $15 an hour. She also receives a $50 weekly bonus. Danielle wrote an equation

S_A_V [24]

For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.

5 0

3 years ago

Read 2 more answers

Lana draws a triangle( LMN) on the coordinate plane. What is the perimeter of the triangle( LMN)? Round to the nearest unit.

lys-0071 [83]

Answer:

The answer is "25".

Step-by-step explanation:

Please find the graph in the attachment.

$Longest \ side= 12$