Suppose there are 5 faulty products out of 100 products in a palette in a factory floor. A Quality Engineer pulls 5 products from the palette, randomly. And He/She doesn't put them back to the palette. a. Which distribution this experiment fits into and why? (5pt) b. What is the probability of finding no faulty parts? (5pt) What is the probability of finding two faulty products? (5pt) C.

There is No solution the system of Equation have.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Slope of Red line = Rise/ Run = 2/3

Slope of Blue line = Rise/ Run = 4/6 = 2/3

As, the two lines have the same slope and hence must be parallel, there are only two options: either they are separate lines, in which case there are no solutions, or they are the same exact line, in which case there are an endless number of solutions.

There are no answers since the two lines must be different since they are parallel and share the same slope but have separate y-intercepts.

Learn more about Slope here:

https://brainly.com/question/2366944

#SPJ1

Answer:

11 forks

Step-by-step explanation:

406 -278 =128

128 divided by 12 = 10.66666668

Any you would round that to 11

Answer:

-6z

Step-by-step explanation:

Answer:

−6z is your answer

Step-by-step explanation:

Answer:

g(4) = 8/3

Step-by-step explanation:

g(4) = 5/6(4)-2/3

= 20/6 - 2/3

= 10/3 - 2/3

= 8/3

Solution:

We know that:

Let's substitute the length, width, and height in the expression to find the volume.

Answer:

56

Step-by-step explanation:

trust me i failed that test and reviewed it

Answer:

82

Yes, that is the answer. Try it and you'll get it correct, I think...

7 pairs of a are sold and 9 pairs of b are sold.

The equation that will be used in solving the equation will be:

a + b = 16 ......... i

45a + 30b = 585 ......... ii

From equation i,

a = 16 - b ...... iii

Put equation iii into ii

45a + 30b = 585.

45(16 - b) + 30b = 585.

720 - 45b + 30b = 585.

Collect like terms

-45b + 30b = 585 - 720

-15b = -135

b = 135/15.

b = 9

Since a + b = 16

a = 16 - b

a = 16 - 9

a = 7

Therefore, 7 pairs of a are sold and 9 pairs of b are sold.

Read related link on:

https://brainly.com/question/24705421

The distance between the points (-2, 9) and (0, 0) is approximately 9.2 units.

To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the straight-line distance between two points (x1, y1) and (x2, y2) as follows:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the distance between the points (-2, 9) and (0, 0) using the distance formula:

x1 = -2, y1 = 9

x2 = 0, y2 = 0

Distance = √((0 - (-2))^2 + (0 - 9)^2)

= √((2)^2 + (-9)^2)

= √(4 + 81)

= √85

Rounding the result to the nearest tenth, we get:

Distance ≈ 9.2

Therefore, the distance between the points (-2, 9) and (0, 0) is approximately 9.2 units.

Learn more about distance here

https://brainly.com/question/30395212

#SPJ11

Answer:

i believe it is 4/5

Step-by-step explanation:

Answer:

36ft²

Step-by-step explanation:

A=a²=6²=36ft²

sorry if im wrong

The p-value for this hypothesis test for a proportion p is 0.039.

What is a random sample?

In statistics, a simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals is chosen randomly, all with the same probability. It is a process of selecting a sample in a random way.

For the null hypothesis,

H0 : p = 0.63

For the alternative hypothesis,

Ha : p < 0.63

This is a left-tailed test

Considering the population proportion, probability of success, p = 0.63

q = probability of failure = 1 - p

q = 1 - 0.63 = 0.37

Considering the sample,

Sample proportion, P = x/n

Where,

x = number of success = 478

n = number of samples = 800

P = 478/800 = 0.6

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76

From the normal distribution table, the area below the test z score in the left tail is 0.039

Thus,

p = 0.039

Hence, the p-value for this hypothesis test for a proportion p is 0.039.

To learn more about the random sample visit,

https://brainly.com/question/24466382

#SPJ4

Answer:

The absolute value of -7.2 is greater.

Step-by-step explanation:

Absolute value means the distance from zero.  Distance is always measured with a positive number.  Which number is farther from 0, -7.2 or -4.3?  -7.2

As the payroll manager of a women's apparel company, the workers are compensated based on a differential piecework schedule, which involves payment per garment sewn.

In a differential piecework schedule, workers are paid according to the number of garments they sew. The payment rate per garment may vary depending on certain factors such as the complexity of the garment or the worker's skill level. This differential payment system recognizes that different garments require varying levels of effort and expertise to sew. As the payroll manager, it is your responsibility to implement and manage this payment structure, ensuring that workers receive accurate compensation based on the number of garments they produce. By tracking the number of garments sewn by each worker and applying the appropriate payment rate, you can calculate their earnings and ensure fair and equitable compensation within the company.

Learn more about manager:

https://brainly.com/question/32633151

#SPJ11

Answer:

4

Step-by-step explanation:

3x+4x=7 combine like terms

7x=7 simplify/divide common terms

x=1 solve for x

QR=4x

QR=4

I thought the answer was 8 but oh well... good luck on your questions.

Answer:

5/9

step by step follow up

Theoretical probability is based on mathematical principles, subjective probability is influenced by personal judgments, and experimental probability is derived from actual experiments or observations. Each approach provides different insights into the likelihood of an event.

Theoretical probability is determined by analyzing the possible outcomes and their probabilities based on mathematical principles. When rolling a pair of dice, there are 36 equally likely outcomes, and the probability of getting a sum of 7 is 6/36 or 1/6.

Subjective probability relies on personal judgments and opinions. For example, someone might believe that rolling a sum of 7 is more likely than rolling a sum of 2 because they have a personal bias or experience that leads them to that belief.

Experimental probability is derived from conducting actual experiments or observations. By rolling a pair of dice many times and recording the outcomes, we can estimate the experimental probability.

After rolling the dice 100 times, we observe that a sum of 7 occurs 18 times, leading to an experimental probability of 18/100 or 0.18.

Visit here to learn more about probability:

brainly.com/question/13604758

#SPJ11

The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

Learn more on the vectors here: https://brainly.com/question/2375446

#SPJ1

the area of the dartboard is approximately 254.34 square inches.

The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:

Area = π * \(radius^2\)

Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:

Area = π * \(9^2\)

Area = π * 81

To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:

Area ≈ 3.14 * 81

Area ≈ 254.34 square inches

To know  more about irrational visit:

brainly.com/question/29204809

#SPJ11

The solution is

a) The total area of the rectangular grass area is 9600 feet²

b) The number of bags required is 9.6 bags

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular grass area be = A

Now , the equation will be

The length of the rectangular grass portion = 120 feet

The width of the rectangular grass portion = 80 feet

The area of the rectangular grass portion = Length x Width

Substituting the values in the equation , we get

The area of the rectangular grass portion A = 80 x 120

The area of the rectangular grass portion A = 9600 feet²

Now , each bag of the grass seed covers 1000 feet²

So , the number of bags required for the entire area = area of the rectangular grass portion A / each bag of the grass seed covers 1000 feet²

On simplifying the equation , we get

The number of bags required for the entire area = 9600 / 1000

The number of bags required for the entire area = 9.6 bags

Therefore , the number of bags required is 9.6 bags

Hence , the total area of the rectangular grass area is 9600 feet²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ1

Answer:

d = 13

Step-by-step explanation:

First, the distance formula is needed:

\(d = \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1 })^{2} }\)

Next we assign the points

(2,-4) is point 1, (7,8) is point 2

\(d = \sqrt{(7 - 2 )^{2} +(8 - (-4))^{2} } \\d = \sqrt{5^{2} +12^{2} } \\d = \sqrt{25 + 144}\\ d = \sqrt{169} \\d = 13\)

Given two points (2,-4) and (7,8)

To find - The distance between given points.

We know the formula that is used to find the distance is given as

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We let P = (2,-4)

and Q = (7,8)

\(x_1=2, y_1=-4\\x_2=7,y_2=8\)

on substituting we get

\(d=\sqrt{(7-2)^2+(8+4)^2}\\ d=\sqrt{(5)^2+(12)^2} \\d=\sqrt{25+144} \\d=\sqrt{169}\\ d=13\)

Hence we get the distance between (2,-4) and (7,8) is 13.

Final answer - The distance is 13.

The net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year, assuming that the firm has an opportunity cost of 15%, is $9,474.23.

NPV is a method used to determine the present value of cash flows that occur at different times.

The net present value (NPV) calculation considers both the inflows and outflows of cash in each year of the project. The NPV is then calculated by discounting each year's cash flows back to their present value using a discount rate that reflects the firm's cost of capital or opportunity cost.

A 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year has a total cash inflow of $50,000 ($2,000 × 25).

Summary: Thus, the net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year, assuming that the firm has an opportunity cost of 15%, is $9,474.23.

Learn more about investment click here:

https://brainly.com/question/29547577

#SPJ11

Answer:

It’s actually     m = (C - 12) /3     But I don’t see it in the 4 option you have.

Step-by-step explanation:

C = 12+ am

C - 12 = am

(C - 12) /a = m

Answer:

beside in this equation where C=$12 a= the additional charges and m= minutes used the equation would be C m=C-12a

The expected value of x is e(√(x)) = e(√(2)) ≈ 1.6487.

The number of possible outcomes when tossing an unbiased coin four independent times is 2^4 = 16, and the probability of obtaining x heads is given by the binomial distribution:

P(x) = (4 choose x) * (1/2)^4 = (4!/(x!(4-x)!) * 1/16

Thus, the expected value of x is:

E(x) = Σ[xP(x)] from x=0 to x=4

= 0*(1/16) + 1*(4/16) + 2*(6/16) + 3*(4/16) + 4*(1/16)

= 2

So, e(√(x)) = e(√(2)) ≈ 1.6487.

Learn more about expected value here

https://brainly.com/question/24305645

#SPJ11

Answer:

27

Step-by-step explanation:

These shapes are mathematically similar as line BR and QC are parallel.

To find the scale factor:

First we find the length of BD by adding 26 and 39:

26+39 = 65

So to get from BD to BQ :

We multiply by :

26/65 = 0.4

So to get from RD to CD:

We do

18÷0.4 = 45

Then we subtract 18 from 45 to get x:

45-18 = 27

Therefore the value of x is 27

Answer: 26.3

Step-by-step explanation:

Answer:

Slope: -5/4

y-intercept: 5

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

A graph of the solution of the inequality is: graph F.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given inequality by making x the subject of formula as follows;

x - 5 < 14

By adding 5 to both sides of the inequality, we have the following:

x - 5 + 5 < 14 + 5

x < 19

Note: The line on a number line should be open when the inequality symbol is greater than (>) or less than (<).

Read more on inequality here: brainly.com/question/27976143

#SPJ1

\(4(x+7) \leqslant 4(2x+8)\implies 4x+28\leqslant 8x+32\implies 28\leqslant 4x+32 \\\\\\ -4\leqslant 4x\implies \cfrac{-4}{4}\leqslant x\implies \boxed{-1\leqslant x}\)

notice, in the division by "4" we didn't flip the inequality sign, because the division was by a positive value, we only flip it when the division involves a negative value.

Answer:2250

Step-by-step explanation:

All we need to do is multiply 15,000 by 15% also known as 0.15 as a decimal.

15,000 X 0.15 = 2250

Answer: 2250