1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nignag [31]
2 years ago
8

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum

marized as follows:
shock resistance
scratch resistance high low
high 70 9
low 16 5
Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. Input your answers in the fractional form (do not simplify).

P(A)
P(B)
P(A')
P(A U B)
P(A' U B)
Mathematics
1 answer:
Naddika [18.5K]2 years ago
3 0

Answer:

P(A) = 86/100

P(B) = 79/100

P(A') = 14/100

P(A U B) = 95/100

P(A' U B) = 84/100

Step-by-step explanation:

i. P(A) = number of disks with high shock resistance/total number of disks

= (70+16)/100

= 86/100

ii. P(B) = number of disks with high scratch resistance/total number of disks

= (70+9)/100

= 79/100

iii. P(A') = number of disks without high shock resistance/total number of disks

= (100-86)/100

= 14/100

iv. P(AUB) = number of disks with high shock resistance or high scratch resistance/total number of disks

= (70+9+16)/100

= 95/100

v. P(A'UB) = number of disks without high shock resistance or with high scratch resistance/total number of disks

= (5+9+70)/100

= 84/100

You might be interested in
Solve for the value of z: 90/15 = 6/z
lara31 [8.8K]

Answer:

z = 1

Step-by-step explanation:

90/15 = 6/z

Cross Multiply

15 * 6 = 90 * z

90 = 90z

Divide both sides of the equation by 90

z = 1

Hope this was useful to you!

3 0
2 years ago
Please help Which of the following inequalities is graphed on the coordinate plane?
Gekata [30.6K]

Answer:

The inequality which represents the graph is y ≤ -2x + 1 ⇒ A

Step-by-step explanation:

To solve the question you must know some facts about inequalities

  • If the sign of inequality is ≥ or ≤, then it represents graphically by a solid line
  • If the sign of inequality is > or <, then it represents graphically by a dashed line
  • If the sign of inequality is > or ≥, then the area of the solutions should be over the line
  • If the sign of inequality is < or ≤, then the area of the solutions should be below the line

Let us study the graph and find the correct answer

∵ The line represented the inequality is solid

∴ The sign of inequality is ≥ or ≤

→ That means the answer is A or B

∵ The shaded area is the area of the solutions of the inequality

∵ The shaded area is below the line

∴ The sign of inequality must be ≤

→ That means the correct answer is A

∴ The inequality which represents the graph is y ≤ -2x + 1

3 0
2 years ago
Find the measure of each missing angle.
nadya68 [22]

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of  each of these lines but on the opposite side of the transversal are called  alternate interior angles

In ΔABC,

  ∠1 + 90 + 38 = 180    {angle sum property of triangle}

         ∠1 + 128 =  180

               ∠1     = 180 - 128

            \sf \boxed{\bf  \angle 1     = 52^ \°}

AB // CD and AC is transversal.

 \sf \boxed{\bf  \angle 3 = 38^\circ}   {Alternate interior angles are equal}

In ΔACD,

      ∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

       ∠2 + 38 +63  = 180

               ∠2  + 101 =180

                         ∠2 = 180 - 101

                      \sf \boxed{\bf  \angle 2 = 79^ \°}

5 0
1 year ago
Depth: 1.8 m Width: 2.5 m Height: 2 m What is the cuboid's volume?
8090 [49]

Answer:

9 m³

Step-by-step explanation:

The formula for calculating the volume (V) of a cuboid is

V = depth × width × height

  = 1.8 × 2.5 × 2 = 9 m³


5 0
2 years ago
Read 2 more answers
Help on this please show my work ?
Mandarinka [93]
Factor the denominator
x^2+3x-10
(x+5)(x-2)

(x-2)/((x+5)(x-2))

The x-2 in the numerator and denominator cancel out.

Final answer: x+5
5 0
3 years ago
Other questions:
  • Sarah bought a $320000 house. She pays 20% down and takes out a 30-year loan for the rest. How much is the loan amount going to
    11·1 answer
  • Factor:<br> 4b2 - 12b + 9
    11·1 answer
  • One week, Katie Hopper earned the following commissions: Monday, $124; Tuesday, $88; Wednesday, $62; Thursday, $137; Friday, $19
    14·2 answers
  • Which line is represented by y = 3/2x - 3?
    8·2 answers
  • Can someone answer this question
    10·2 answers
  • What is 224 7/10 I need some help
    7·2 answers
  • The table represents the function f(x) .
    10·2 answers
  • Anyone wanna help a failing student
    15·2 answers
  • Find the missing side of the triangle. no links​
    15·1 answer
  • For number 1 which is skew to BC?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!