Mathematics College

1. A certain manufacturing process to build phone batteries results in the production of defective batteries at a rate of 5% (0.05). Suppose that 10 batteries are produced. a. Find the expected number of defective batteries. b. Find the variance and standard deviation in the number of defective batteries. c. Find the probability that at least 1 battery is defective.

Answers

Answer 1

Answer:

0.5 ; 0.475 ; 0.689 ; 0.4013

Step-by-step explanation:

Given that:

Rate of production of defective batteries p = 0.05

Number of batteries produced (n) = 10

The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries

Variance of defective batteries :

Var(X) = n * p * q ; q = 1 - p

Hence,

Var(X) = 10 * 0.05 * 0.95 = 0.475

Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689

Probability that atleast 1 battery is defective :

Using the binomial probability function

P(x ≥ 1) = 1 - p(x = 0)

= 1 - q^n

= 1 - 0.95^10

= 1 - 0.59873693923837890625

= 0.40126306076162109375

= 0.4013

Related Questions

These points are linear. Find the slope.

Answers

I think the slope would be 8. The formula to find slope is y1-y2/x1-x2 so you pick two points and then do the problem, i picked points (-2, -8) and (-3, -16) and after simplifying my answer i got 8. I may be wrong though

help please :)))))(​

Answers

Answer:

6 hours :))))))

Step-by-step explanation:

Answer:

3 or 4 I think

Step-by-step explanation:

I think this because if u find the red candles unit rate it's 9 and 9×4 is 36 but the thing is the other one is 12 12×4 is 48 but then if u do 12×3 it's 36. The rest don't work so 3 or 4 hours. But if someone else has a different answers do not put mines because I have no clue but I think it's that because of that reason.

Evaluate 15 squared show work

Answers

Answer:

225

Step-by-step explanation:

15x15=225

There is a cool trick you can do. Lets take 28 and square it.

First you round the number up. 28 rounded is 30. You rounded up by 2 (30-28=2) so you minus 2 from 28.

You are left with these two numbers, 26 and 30. Add a zero to the 26.

You now have 260 and 3 (you remove 0 on the 30 since you added it to the 26)

Then you multiply by 3.

260x3=780

Then you add the square of the number you rounded up too, which is 2.

You are left with this equation.

(2^2)+780= 784

28x28=784.

This works for numbers below 100 and integers

Pic below
....................

Answers

Answer:

b=2

Step-by-step explanation:

my uh head

but like u add 9/3 to -1 and get 2 so ya

hope this helps a bit <33

Asafa runs 0.75 kilometers in 6 minutes. Jemaine runs 3,000 meters in half an hour. Who ran at a faster rate?

Answers

Answer:

Asafa ran at a faster rate

Step-by-step explanation:

Asafa's speed:

0.75 km/ 6 min = 750 m/ 6 min = 125 m/min

Jemaine's speed:

3000 m / 30 min = 100 m/min

Asafa ran at faster rate as 125 m/min > 100 m/min

In a class of 12 boys and 8 girls, two students need to be chosen for classroom jobs.
What is the probability that Mary gets selected?

Answers

Answer:

55 percent chance or 11/20 or  0.55

Step-by-step explanation

Which of the following is equivalent to 75/100? A 2/3 B 10/15 C 25/50 D 15/20​

Answers

Answer:

D. 15/20

Step-by-step explanation: Because if it is 100 divide by 5 then it equals 20 and since 75% is 3/4 then 15/20 is your answer.

Answer:

D 15/20

Step-by-step explanation:

How do you write 7/10 as a percentage? ​

Answers

Answer:

70%

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

If 9y – 5 = 22, find the value of 2y.

Answers

Answer:

I want questions and answers

Step-by-step explanation:

Step-by-step explanation:

9y-5=22

9y=22+5

y=27

9

y=3

now,

2y=2×3=6

hope it helps.

please help me please​

Answers

Answer:

y=1

10/5=2

Step-by-step explanation:

what is the slope of the line that is represented by the values in the table above?​

Answers

Answer:

Answer:

Step-by-step explanation:

To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.

Let's use, (-1, 0), and (0, 6).

slope (m) =6

Step-by-step explanation:

Answer:

whats the answer dang

Step-by-step explanation:

Need help plz don’t know what is the answer.

Answers

Answer:

A

Step-by-step explanation:

If you subtract 4 and add 16 you get 37

The square root of 36 is 6 and the square root of 49 is 7

so since 37 is closer to 36 it has to be than 7 and a little more than 6

Answer:

A. between 6.0 and 6.2

Step-by-step explanation:

solver using order of operations (PEMDAS)

[tex]\sqrt{25-4+16} \\\sqrt{21+16} \\\sqrt{37}\\6.08[/tex]

now that we have our answer we can see what numbers it fall between which are 6.0 and 6.2, giving us answer A

Help with find the measure of angle A

Answers

Answer:

92 canım

Step-by-step explanation:

Anlamadıysan geri sorarsın ve yorumumu beğenirsin tmm mi what iş kaçıncı sınıf taşan bana söyle

On a recent trip, Miles drove 58 miles the first hour,64 miles the second hour.and 62 miles the final hour. Estimate the average number of miles he drove each hour

Answers

Answer:

60

Step-by-step explanation:

all of those rounded to the nearest ten is 60

When Margie visited the beach at Key West, she collected 50 seashells. She had 15
smooth shells and 35 shells with ridges. What percent of her shells had ridges?
35
30
70
65

Answers

Answer:

70

Step-by-step explanation:

do you know the answer​

Answers

Answer:

The answer is 15.

Other:

Brainliest? Thanks!

A certain radioactive isotope has a half-life of 50 years. A scientist determines that there are 200 grams of the radioactive material present today. How
Much of the isotope was present 200 years ago?

Answers

im guessing 800 50X4 = 200 and 200X4 = 800

i never learned this but i hope its correct.

Which expression is equivalent to (2x − 3)(x + 4) ?

Answers

Answer:

Step-by-step explanation:

2x2 + 8x - 3x - 12

2x2 + 5x - 12 is equivalent to the given expression

Answer:

[tex]2x^{2} +5x-12[/tex]

Step-by-step explanation:

A local flower shop sells a dozen roses for $12.85. If there is an 8% sales tax, how much in TOTAL will you pay for the roses

Answers

Answer:

13.87

Step-by-step explanation:

put the numbers in order from least to greatest.

5 * 10^6

4000000

5 * 10^5

0.6 * 10^7

75 * 10^5

Answers

So if u simplify them all it would be 5000000, 4000000, 500000, 6000000, 7500000 so it would be least is 500000, 4000000, 5000000, 6000000, and 75000000 being the greatest... I hope this helps uuuu! :)

how to graph y+9= -3x and find x-intercept

Answers

y+9=-3x can be turned into y=-3x-9 by subtracting 9 on both sides of the equation.
When you graph y=-3x-9 you find that the x-intercept is -9

In a school choir there is 1 boy for every 4 girls. There is a total of 11 boys. How many girls are in the choir.

Answers

Answer:

44 Girls

Step-by-step explanation:

In this figure m∠A=(2x-2)°, m∠C=(4x-6)°,and m∠DBC=(5x+4)° What is m∠C
SHOW YOUR WORK will give 100 points!!

Answers

Answer:

answer 500

Step-by-step explanation:

2x2-40x33 divided by 2 and boom answer 500

Anser:

m∠C=42

Step-by-step explanation:

(2x - 2) + (4x - 6) = (5x + 4)

(6x - 8) = (5x + 4)

-4 -4

6x - 12 = 5x

-5x -5x

1x = 12

So 4 * 12 - 6 = 42

m∠C=42

Need help on this one please and thank you

Answers

Answer:

64x64x64=262,144

Step-by-step explanation: mark as brainest plsssssssssssssss

A. = 64.64.64 = 262,144

Which equation represents the line passing through the points (4, −1) and (1, 0)?

Select one:
A. x + 3y = 1
B. 3x + y = 1
C. x − 3y = −1
D. −x + 3y = 1

Answers

are you guys doing the ax+by=c formula?

Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?
O x = -2, x = -8
O x = -2, x = -6
O x = -2, x = 6
O x = -2, x = 8

Answers

When x = -2, x = 6 is the answer.

Lamar is considering two loans.


Loan A
Loan B
Principal
$4,500
$4,300
Interest rate
5%
6%
Time in years
3
3

Which loan will have the lowest total payback?

Answers

Step-by-step explanation:

know:

Loan A

Principal

$4500

Interest rate

5%

Time in years

3

If 100% => $4500

5% =>X

X = 5% × $4500 ÷ 100% = $225

Loan A = $4500 + $225 = $4725

Loan B

Principal

$4300

Interest

6%

Time in years

3

If 100% => $4300

6% =>X

X = 6% × $4300 ÷ 100% = $258

Loan B = $4300 + $258 = $4558

Loan B has the lowest total payback.

The Loan B has the lowest total payback than the Loan A.

How to calculate the Payback?

WE can calculate the payback in both loan as;

Loan A;

Principal = $4500

Interest rate = 5%

Time in years = 3

If 100% => $4500

X = 5% × $4500 ÷ 100%

X = $225

Loan A = $4500 + $225 = $4725

Loan B;

Principal = $4300

Interest = 6%

Time in years = 3

If 100% => $4300

X = 6% × $4300 ÷ 100%

X= $258

Loan B = $4300 + $258 = $4558

Hence, the Loan B has the lowest total payback than the Loan A.

Learn more about this concept here;

https://brainly.com/question/13404463

#SPJ2

help plz very very confused

Answers

Answer:

x=-2

Step-by-step explanation:

Solve for x in the diagram shown.
A) 2.67
B) 4.5
C)5.625
D) 34.375

Answers

Answer: C

Step-by-step explanation:

Lizzie buys 3 clocks for a total cost of £50 at a car boot sale. She sells 2 clocks for £22 each and the other for clock for £20 Lizzie thinks she has made a 30% profit

Answers

Answer:

yes she made  30% profit it says she sell 2 clocks for 20 and 22 each for the  other ones

Step-by-step explanation:

Other Questions
NEED ASAP What are the steps for properly carrying an item Is this a function??? PLZ HELP ASAP WILL GIVE BRAINLIEST help me please! Without a calculator, choose the statement that best describes the value of74.Choose 1 answer:A: the value of 74 is between 8 and 8.5B: the value of 74 is between 8.5 and 9C: the value of 74 is between 9 and 9.5D the value of 74 is between 9.5 and 10 5n + 3(6 + 7n) whats the answer Someone pls help this is due in a bit Please answer number 26 teapot filled with water is heated on the stove. What does the heat from the stove do to the molecule of water in the teapot? Which of the following is NOT true about the digestive system?Its question 10 Why is Hamlet mourning as the play begins? HELP! what is 1.278 and 1.281 and 1.284 from least to greatest what were two things that were true about the Crusades ? (pick two) What is the solution set for the inequality -1/2 (10+1/4)A. -5 -1/4 B. -5 -1/8C. -5 +1/8D. -5 +1/4. Please help, I'll mark first correct as Brainlyest i need help on math please PLZ HELP WILL GIVE BRAINLIEST Please help; stuck on this one... pls help me!! I really need it! what happens if the details that found in the two layers of phospholipids Insel membrane or hydrophilic instead of being a hydrophobic Please help me on this, it needs to be done quickly. Read the image.