A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fuses selected at random there will be atleast one defective and not more than one defective.

Answers

Answer 1

Answer:

0.419

Step-by-step explanation:

To calculate this, we shall make use of Bernoulli approximation of Binomial distribution

if 20% are defective, then 80% are not defective

Probability of selecting a defective fuse is 20/100 = 0.2

Probability of selecting a non defective one is 0.8

Probability of at least 1 being defective is = 1 - Probability of none being defective

Mathematically that will be;

0.8^8 = 0.168

The above is probability of none defective

So the probability of at least one will be

1 - 0.168 = 0.832

Probability of not more than 1 means;

Probability of none + probability of 1 being defective

We already have probability of none above

Probability of 1 being defective means 8 will be non defective

The probability in this case is;

8 C 1 0.2^1 0.8^7

= 8 * 0.2 * 0.8^7 = 0.336

Add this to the probability of none = 0.336 + 0.168 = 0.504

So the probability that we want to calculate from the question will be;

Probability of at least one defective * probability of not more than one defective

= 0.832 * 0.504 = 0.419


Related Questions

Ana decides to start a lemonade stand. She goes to the store to buy her supplies, and those cost her $50. The city of Richmond also requires anna to pay a fee of $5 per day to set up lemonade stand at the park. Write the equation for her total cost (c) in terms of (d) days.

Answers

Answer:

[tex]c=5d+50[/tex]

Step-by-step explanation:

Given that:

Supplies of the lemonade bought at price = $50

Money paid per day to setup lemonade stand at the park = $5

To find:

Equation of her total cost.

Solution:

Let the number of days = [tex]d[/tex]

Per day cost of setting up the lemonade stand is given as $5.

If the number of days are [tex]d[/tex], then the cost of [tex]d[/tex] days can be found by multiplying the per day cost with the number of days.

Therefore, the expression for cost for [tex]d[/tex] number of days = [tex]\$5d[/tex]

Total cost for [tex]d[/tex] number of days can be found by adding the cost of supplies and cost for [tex]d[/tex] number of days for setting up the stand:

[tex]c=5d+50[/tex]

Identify the matrix transformation of ΔMNO, which has coordinates M(1, 3),N(5, 2), and O(3, −3), for a translation 2 units left and 4 units up. PLEASE ANSWER QUICK!!!

Answers

Answer:

The second one

Step-by-step explanation:

It’s algebra one please help

Answers

Answer: I'm gonna say (3,-2)

Step-by-step explanation: my best guess, bc they intersect

HELP. car takes 10 hour and 30 minutes from A to B point. how many hours will it take for car if it's speed increases 1.2 times?
(distance doesn't change)

Answers

9514 1404 393

Answer:

  8 3/4 hours

Step-by-step explanation:

Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:

  (10.5 h)/1.2 = 8.75 h

It will take 8.75 hours at the increased speed.

check whether
[tex] \frac{4}{5} [/tex]
is terminating or non terminating repeating decimal.​

Answers

Answer:

Non terminating

Step-by-step explanation:

4/5=0.8 so non terminating

Hope this helps :D

If, a quadratic equation in the form of ax+ bx + c = 0 has a discriminant
value of 32, then it will have 2 real, rational solutions.
true or false

Answers

Answer:

True

Step-by-step explanation:

The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).

Systems of equations - substitution method

-8x+7y=10
Y=3x+7

Answers

Answer:

x= -3 , y = -2

Step-by-step explanation:

Hope it helps you....Mark this answer as brainliest

PLEASEE HELP I WILL GIVE BRAINLIEST!

Answers

Answer:

It would be C, Y=x-7

Step-by-step explanation:

Each X in the left column is 7 more than Y in the right column.

Everytime theres an X, you subtract 7 to get Y, making the equation y=x-7

Solve the equation for a.

K = 4a + 9ab

a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.

Answers

Answer:

[tex]a= \frac{k}{9b+4}[/tex]

Step-by-step explanation:

In this question, you would solve for "a".

Solve:

K = 4a + 9ab

Since we have our "a" on the same side, we can factor it out from the variables:

K = a(9b + 4)

To get "a" by itself, we would have to divide both sides by 9b + 4:

K/9b+ 4 = a

Your answer would be K/9b+ 4 = a

It would look like this: [tex]a= \frac{k}{9b+4}[/tex]

Answer:

it's a = K / 4 + 9b

Step-by-step explanation:

i just took the test & got it right .

At the recommendation of his veterinarian, Xavier decides to place his cat on a diet. His cat's original weight was 19.4 pounds. After Xavier put his cat on a diet, the cat lost weight at a constant rate. The table below shows the cat's weight, w, and the months, m, since he began his diet. Months Weight (lb.) 1 18.26 2 17.12 3 15.98 4 14.48 Which equation models the cat's weight after m months?

Answers

Answer:

w=1.14m-19.4

Step-by-step explanation:

m = months, the cat loses 1.14lbs per month. plus the cat started with 19.4 pounds. each month 1.14 is being subtracted from 19.4

Select the statement that describes this expression: 13 + fraction 1 over 2 x (6 ÷ 2 + 6) A: 13 more than half of 6 more than the quotient 6 and 2 B: 13 more than half of the quotient of 6 and 6 minus 2 C:Half of 13 multiplied by the quotient of 6 and 2 plus 3 D:13 plus half of 6 divided by 2, then subtract 6

Answers

Answer:

"13 plus half of 6 divided by 2, then add 6"

Step-by-step explanation:

We need to select the statement that describes this expression :

[tex]13+\dfrac{1}{2}\times (\dfrac{6}{2}+6)[/tex]

Here 13 is added to half of 6  divided by 2 and then add 6.

Hence, this is the correct answer "13 plus half of 6 divided by 2, then add 6).

Help will give crown

Answers

Answer:

x = -4  y = -2(-4) - 4 = -12

x = -2  y = -2(-2) - 4 = 0

x = 0  y = -2(0) - 4 = -4

x = 2  y = -2(2) - 4 = -8

Hope this helps! ;)

Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.

Answers

Answer:

$2800.00

Step-by-step explanation:

A total accrued amount 800 = principal (P) $2000 + interest (I)

R Rate of interest per year decimal - 0.08

X Rate of interest per year percentage - 8%

T time period months or years - 5 years

Equation will be A = P (1 + RT)

first convert X to R = percentage to decimal

X = R/100 = 8%/100 = 0.08 per year

Solving:

A = 2000 (1 + (0.08 x 5)) = 2800

A = $2800

what is the HL postulate

Answers

Answer:

HL Postulate

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E-learning is the future today.

Stay Home , Stay Safe and keep learning!!!

HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.  

AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )

∴ Δ ABC ≅ Δ DEF by RHS theorem

Theorem : Prove RHS theorem or postulate.

Given : AC = DF , BC = EF and ∠B = ∠E = 90 0

Prove that : ΔABC ≅ ΔDEF

Construction : Extend DE to G so that EG = AB. Join GF.

Statements

Reasons

1) AB = GE 1) Construction

2) ∠B = ∠FEG 2) Each 900

3) BC = EF 3) Given

4) ΔABC ≅ ΔGEF 4) By SAS postulate

5) ∠A = ∠G 5) CPCTC

6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal

7) AC = DF 7) Given

8) DF = GF 8) By transitive property

9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal

10) ∠A = ∠D 10) From (5) and (9)

11) ∠B = ∠E 11) Given

12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)

13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180

and ∠D + ∠E + ∠F = 1800

14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

HL is the the Hypothenuse Leg Postulate that sais that

If the hypotenuse and leg of one triangle are congruent

to the hypotenuse and leg of another triangle

then the triangles are congruent.

What is the solution to the inequality
-−
5
(
2
x

4
)
+
8
>
4
+
4
(
x
+
6
)

Answers

Answer:

x>20/3

Step-by-step explanation:

complete the table for each equation.

Help plz

Answers

Answer: (1, -2) (4, -8) (-5, 10) ( 3, -6)

Step-by-step explanation:

You solve all of them by inputting the x value's into the x in the equation

Here:

y= -2(1)   x=1 y= -2

y= -2(4)   x=4 y= -8

y= -2( -5)  x= -5 y= 10

y= -2(3)   x= 3    y= -6

A bakery sells doughnuts in boxes. Each box has 9 doughnuts in it. If the bakery sold 54 doughnuts, how many boxes did it sell? ​

Answers

The answer is 6.

9 times 6 = 54.

54 donuts hhhhhhvgyiiihhh

please help thanks in advance

Answers

Your answer would be answer A: 8

Answer:

length of each is 51

Step-by-step explanation:

they are congruent triangles so they are equilateral

therefore, you can set 7x - 5 and 5x + 11 equal to each other and solve for 'x'

2x = 16

x = 8

Substitute 8 into each expression and both come out to be 51

HURRY PLZ I WILL GIVE BRAINLIEST....Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative 3) squared = StartFraction 5 (4) over 2 EndFraction minus 10 + 9 = StartFraction 20 over 2 EndFraction minus 10 + 9 = 10 minus 10 + 9 = 9. What was Fernando’s error? Fernando evaluated the numerator of the fraction incorrectly. Fernando simplified StartFraction 20 over 2 EndFraction incorrectly. Fernando incorrectly found the product of –2 and –5. Fernando evaluated (negative 3) squared incorrectly.

Answers

Answer:

The correct answer is...

Fernando incorrectly found the product of –2 and –5.

I hope this helps! Have a nice day!

1: A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he then own?

Answers

Answer:

53 shares

Step-by-step explanation:

Calculation for how many SHARES did he then own

Using this formula

Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]

Let plug in the formula

Numbers of shares= [(.06 x 50 shares)+50 shares]

Numbers of shares= 3 + 50 shares

Numbers of shares = 53 shares

Therefore How many shares did he then own is 53 shares

need help asap!!!!!!!

Answers

Answer:

cant see it do a better job at taking pitchers i will help you but i cant so c its a bad pitcher and yeah bye hope you have a good day

Step-by-step explanation:

SOMEONE HELP!! PLEASE

Answers

The train travels 50 miles per hour. On the graph, it shows the distance going up by one hundred every two hours. One hundred divided by two is fifty.

Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?

Answers

Answer:

6 jellybean

Step-by-step explanation:

Given that:

Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.

Consider the regular flavored jellybean to be = r;  &

The surprise jelly bean.= s

From the bag, there are 40 jellybeans of which 15% is surprise jellybean.

Therefore the number of expected surprise jellybeans is:

= total number of jellybeans × percentage of surprise jellybean

= 40 × (15 /100)

= 6 jellybean

If  6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean

e - i = 5
e + 3i = 9
e value =
i value =
What is the answer

Answers

Answer:

e value = 6

i value = 1

Step-by-step explanation:

The system of equation are;

e - i = 5...(1)

e + 3·i = 9...(2)

Making e the subject of equations (1) and substituting the value of e equation (2) gives;

From equation (1), e - i = 5, we have, e = 5 + i

Substituting the value of e in equation (2), e + 3·i = 9 gives;

e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9

4·i = 9 - 5 = 4

i = 4/4 = 1

i = 1

From e = 5 + i, we have;

e = 5 + i = 5 + 1 = 6

e = 6

Therefore;

e value = 6

i value = 1

Solve for x
9(x-1)=81
x=

Answers

Answer:

10

Step-by-step explanation:

9(10-1)=81

Distributive property
9x - 9 = 81
9x = 90
Divide by 9
Solution: x = 10


I need help with this question I can’t figure it out

Answers

Answer:

they are parallel

Step-by-step explanation:

they are parallel since their slope are equal

9/6 can be simplified to 3/2

Answer:

You're right; it's choice B parallel

Step-by-step explanation:

When it comes to two equations, when their slopes are the same, they are parallel. If the slopes are negatively reciprocated then they are perpendicular.

what's the fromula for finding the perimeter of a triangle?​

Answers

Answer:

Add up all the sides.

Step-by-step explanation:

Add up all the sides.

Add up all the sides of the triangle that is the perimeter.

Hope this helps plz hit the crown :D

(A) I (B) II (C) III (D) IV (E) V (F) VI (G) VII

Answers

Answer:

a and c

Step-by-step explanation:

7b - 2/5 = 6b - 7/5 equations with variables on both sides: decimals & fractions

Answers

Final Answer: [tex]b = -1[/tex]

Steps/Reasons/Explanation:

Question: [tex]7b - 2/5 = 6b - 7/5[/tex] equations with variables on both sides: decimals & fractions.

Step 1: Subtract [tex]6b[/tex] from both sides.

[tex]7b - \frac{2}{5} - 6b = -\frac{7}{5}[/tex]

Step 2: Simplify [tex]7b - \frac{2}{5} - 6b[/tex] to [tex]b - \frac{2}{5}[/tex].

[tex]b - \frac{2}{5} = -\frac{7}{5}[/tex]

Step 3: Add [tex]\frac{2}{5}[/tex] to both sides.

[tex]b = -\frac{7}{5} + \frac{2}{5}[/tex]

Step 4: Simplify [tex]-\frac{7}{5} + \frac{2}{5}[/tex] to [tex]-1[/tex].

[tex]b = -1[/tex]

~I hope I helped you :)~

What is the range of the function y = x??
Oyo
oxio
all real numbers

Answers

Answer:

All Real Numbers

General Formulas and Concepts:

Algebra I

Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

If we graph the function, we see that the line stretches out from negative infinity to infinity for both x-values and y-values.

If that is the case, then that means that there is no restrictions on the y-values.

Therefore, our range is (-∞, ∞) or All Real Numbers.

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