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
babunello [35]
2 years ago
13

Products produced by a machine has a 3% defective rate. What is the probability that the first defective occurs in the fifth ite

m inspected?
Mathematics
1 answer:
labwork [276]2 years ago
6 0

Answer: The required probability is 0.1328.

Step-by-step explanation:

Since we have given that

n = 5

Probability of success = p = defective rate = 3% = 0.03

Probability of failure = q = 1-p = 1 - 0.03 = 0.97

So, we will use "Binomial distribution":

probability that the first defective occurs in the fifth item inspected would be

P(X=1)=^5C_1(0.03)^1(0.097)^4\\\\P(X=1)=0.1328

Hence, the required probability is 0.1328.

You might be interested in
(4x^3 - x^2 +4x) + (x^3 -x^2 - 4x)
madreJ [45]

Answer:

5x³ - 2x²

Step-by-step explanation:

Step 1: Write out expression

4x³ - x² + 4x + x³ - x² - 4x

Step 2: Combine like terms (x³)

5x³ - x² + 4x - x² - 4x

Step 3: Combine like terms (x²)

5x³ - 2x² + 4x - 4x

Step 4: Combine like terms (x)

5x³ - 2x²

4 0
3 years ago
Mr. Johnson's lunch bill is $29.90, which includes a 15% tip. What is the price before the tip?
mr_godi [17]

Answer: it’s 26

Step-by-step explanation:

29.90 divided by 1.15= 26

8 0
3 years ago
I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct
Bond [772]

Given the system of equations:

\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}

Step 2: Substitute the expression found for x in the first equation.

\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}

Then, divide both sides by 15.

\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

7 0
1 year ago
Andrew rode his bike at a constant speed.He rode 1mile in 5 minutes.
Rudiy27

Answer:

3

Step-by-step explanation

The answer is three because if you did the tree method you will have the same exact answer

3 0
2 years ago
Read 2 more answers
Right triangle LMN has vertices L(7, –3), M(7, –8), and
ololo11 [35]
This is the translation.
M' is (-1,3)
N' is (2,3)
hope this helps

5 0
3 years ago
Other questions:
  • What is the function rule for the line?
    15·1 answer
  • Can someone help me please solving this maths problems.
    13·1 answer
  • Of the 50 states, 4 have names that start with the letter W.
    7·2 answers
  • What is negative 3/8 plus 7/8
    14·2 answers
  • Find the area of the shape shown below.
    13·1 answer
  • Line p has a slope of -3/4.Line q is parallel to line p.What is the slope of line q?
    6·1 answer
  • (Unicamp-SP) Em uma agência bancária 5 caixas atendem os clientes em fila única. Suponha que um atendimento de cada cliente demo
    13·1 answer
  • Please help, giving brainliest too whoever answers first
    12·1 answer
  • William earns 1.75% commission on all sales at the electrical goods store
    6·1 answer
  • Joe says that x
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!