two percent of a product are defective. if a lot of 100 items are ordered what's the probability that there are no defective item? what's the probability that there are at least two defective items?​

Answer:

73% of 250 is 182.5

Step-by-step explanation:

Divide 73 by 100

73/100=.73

Multiply .73 by 250

.73*250=182.5

Answer: 75%

Step-by-step explanation: First, you have to divide the numerator (6) by the denominator (8), which equals 0.75 in this case. Then you have to multiply the decimal (0.75) by 100. So you get the answer 75%.

Answer:

P(A | Y = 8) =  0.633

Step-by-step explanation:

It is really a simple and interesting question, as it involves the Poisson distribution and probability.

First of all, let's try to understand the problem statement clearly. It says that there are two process by which beams are made, namely A and B.

It further states that, beam made by process A has = 10 flaws per meter.

Beam made by process B has = 5 flaws per meter.

Finally, it says that from a yard containing equal numbers of process A and process B beans, one beam is randomly selected and 1 - meter of it is inspected. And they have found 8 flaws in it.

We now, have to find out the probability that the inspected beam is from process A.

For this,

Let's suppose, Y is no. of flaws

So,

P (Y=8|A) = [tex]\frac{e^{-10}. 10^{8} }{8!}[/tex]

where , e = Euler's Constant = 2.71828

P (Y=8|A) = 0.11

Similarly for process B

P (Y=8|B) = [tex]\frac{e^{-5}. 5^{8} }{8!}[/tex]

P (Y=8|B) = 0.06

As, we know from the problem statement that there are equal numbers of process A and process B beams.

So, the probability of A = Probability of B = 0.5

P(A) = 0.5

P(B) = 0.5

We need to find, P(A|Y=8) and for this we need to find the P(Y=8) first.

Using the law of total probability:

P(Y=8) =  P(Y = 8 |A) P(A) + P(Y = 8|B) P(B)

Plug in the values:

P(Y=8) = (0.11 x 0.5) + (0.06 x 0.5)

P(Y=8) = 0.088

Now, by applying Bayes Theorem, we can find the required probability:

P(A | Y = 8) = P(Y = 8 | A) P(A) / P(Y = 8)

8 flaws are found, the probability the inspected beam was fabricated using process A is :

P(A | Y = 8) = 0.11 x 0.5 / 0.088

P(A | Y = 8) =  0.633

Furthermore,

8 flaws are found, the probability the inspected beam was fabricated using process B is :

P(B | Y = 8) = 1-P(A | Y = 8)

P(B | Y = 8) = 1 - 0.633

P(B | Y = 8) = 0.367

Answer:

5

Step-by-step explanation:

1. in order to calculate all the required values, it needed to solve:

[tex]\sqrt{x-5} \geq 0; \ <=> \ x\geq 5.[/tex]

2. x≥5 means, that x∈[5;+∞), where beginnig is '5'.

Answer:

D. (1/4, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -8x

4x - y = 3

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

Answer:A.

x f(x)

-2 4

-1 1

0 0

1 1

2 4

B.

x f(x)

1 6

2 7

3 8

4 9

5 10

C.

x f(x)

-2 -3

-1 -1

0 1

1 3

2 5

D.

x f(x)

1 3

2 6

3 9

4 12

5 15

Step-by-step explanation:

The required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

Here,
Let f(x) = y
Given function,
y = [3x -1]²
The inverse of the above function is given as,
f⁻¹(x) = [∛x + 1]/3
Differentiate the above inverse function,
[f⁻¹(x)]' = 1/[9x²/³]
Substitute x = 1/8
[f⁻¹(1/8)]' = 1/[9(1/8)²/³]

[f⁻¹(1/8)]' = 4 / 9

Thus, the required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

Learn more about implicit differentiation; https://brainly.com/question/11887805

#SPJ2

Answer:

90m

Step-by-step explanation:

long sides are 30 each and the top sides are 15 each

Step-by-step explanation:

2×{(6+12)=(3+1)}-1

We will have to solve the ones in the bracket first.

2×{(18)=(3+1)}-1

2×{18=4}-1

So now we remove the brackets

2×18=4-1

36=3

Then we divide both sides by 3

So the final answer is 12

Answer:

42.09

Step-by-step explanation:

3.45 x 12.2 = 42.09 (checked with a calculator)

Answer:

SSS, SAS, ASA, AAS, (HL)

Step-by-step explanation:

HL is also one, but that isn't an option so ye

Answer:

85555555555555555

Step-by-step explanation:

Answer:

y=x/14+1

Step-by-step explanation:

3(2x-4y) +14-2y=5x

6x-12y+14-2y=5x

6x-14y+14=5x

x+14=14y

x/14+1=y

And dude I feel ur pain no one is responding to my questions :(

Answer:

excise taxes are taxes on specific goods like gasoline

Step-by-step explanation:

Answer:

1000 feet of tie wore is what he used

Step-by-step explanation:

simple

Answer:

11.8 miles on 0.1 gallons of fuel

1180 miles on 10 gallons of fuel

Step-by-step explanation:

Answer:

row 1: 0.1 gallons = 11.8 miles

row 3: 10 gallons = 1180 miles

Step-by-step explanation:

if 1 gallon = 118 miles, you can use the 118 and multiply o.1 or 10.

Answer:

4

Step-by-step explanation:

The current price per share is $32.59

The annual net earnings per share is $9.06

Therefore the PE ratio can be calculated as follows

= $32.59/$9.06

= 3.59

= 4 (to the nearest whole number)

Hence the PE ratio is 4

Answer:

5,004,300

Step-by-step explanation:

Answer:

[tex]Mean = 3.52[/tex]

Step-by-step explanation:

Given

[tex]Sample\ Size = 16[/tex]

[tex]Proportion = 22\%[/tex]

Required

Determine the mean of the proportion

The mean or expected value of a sample is calculated by multiplying the sample size by the proportion as follows;

[tex]Mean = n *p[/tex]

Where

[tex]n = 16[/tex] -- Sample Size

[tex]p = 22\%[/tex] -- Proportion

So:

[tex]Mean = n *p[/tex] becomes

[tex]Mean = 16 * 22\%[/tex]

Convert 22% to decimal

[tex]Mean = 16 * 0.22[/tex]

[tex]Mean = 3.52[/tex]

Hence, the mean is 3.52

Answer:

0.01

Step-by-step explanation:

there is a total of 3,600 seconds in an hour so then u just devide 61 miles by 3,600 and get 0.01694444, round that to the nearest hundreth and you get 0.01

Answer:

x = 3

y = -1

Step-by-step explanation:

(x-y) + (x+y) = 4 + 2

2x = 6

x = 3

sub x=3 into x+y=2

3+y=2

y=2-3

y=-1

Check by subbing x=3 and y=-1 into x-y=4

(3)-(-1) = 3+1 = 4

Answer:

it is 390

Step-by-step explanation:

Hey there!

Basically the mean is the average of your given set that you have!

Here is your formula:

mean = SUM of each over your terms DIVIDED BY NUMBER of terms

“15, 8, 12, 14, 10,13”

SUM = addition

15 + 8 + 12 + 14 + 10 + 13

15 + 8 = 23

23 + 12 + 14 + 10 + 13

23 + 12 = 35

35 + 14 + 10 + 13

35 + 14 = 49

49 + 10 + 13

49 + 10 = 59

59 + 13 = 72

72 / NUMBER OF TERMS

Number of terms: 6

72 / 6 = 12

Thus your answer your answer: 12 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

ASA

Step-by-step explanation:

The triangles are congruent by ASA.

Answer:

−4 1/4 = −4 +1/4

= −4/1+1/4

=(−4/1×4/4)+1/4

=−16/4 + 1/4= −17/4

So, -17 divided by 4 equals

-4.25

Answer:

D. 7n+35

Step-by-step explanation:

Answer:

It is 36ft squared

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

$34.99

Step-by-step explanation:

49.99 - 14.997=

34.99

Answer:

the answer is 34.99

if you want me to explain i will ")

Answer:

B

Step-by-step explanation:

i took the test lol

Answer: For homework, Ari had to find 5% of $900. Did he do the work correctly?

A tape diagram. There are 5 parts out of a whole of 100. There are question mark parts out of a whole of 900.

Start Fraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 End Fraction = StartFraction 18,000 Over 900 EndFraction

Are Ari’s calculations correct?

x No. Ari multiplied the denominators incorrectly.

✔ No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction

x No. Ari should have divided, not multiplied.

x Yes. Ari’s work is correct.