It's easy 5th-grade math please solve the whole problem (the whole backside is the problem u can look I will mark the brainiest...

Answer:

$3.75b + $25 >= $1100

Step-by-step explanation:

Let's go through the process step-by-step to find the Standard Error of the Mean (SEM) for a 93% confidence interval for the proportion of newspapers with a non-conforming attribute.

Step 1: Define the variable of interest
The variable of interest here is whether the newspaper has a non-conforming attribute, which includes excessive ruboff, improper page setup, missing pages, or duplicate pages.

Step 2: Collect the data
You have already collected the data by selecting a random sample of n = 200 newspapers from all the newspapers printed during a single day.

Step 3: Organize the data
You have organized the results, which show that 35 newspapers contain some type of non-conformance, in a worksheet.

Step 4: Calculate the proportion
Now, we need to calculate the proportion of non-conforming newspapers:
Proportion (p) = (Number of non-conforming newspapers) / (Total number of newspapers in the sample)
p = 35 / 200 = 0.175

Step 5: Calculate the Standard Error of the Mean (SEM)
The formula for the SEM is:
SEM = sqrt[p * (1 - p) / n]
where p is the proportion of non-conforming newspapers and n is the sample size.
SEM = sqrt[0.175 * (1 - 0.175) / 200]
SEM ≈ 0.0283

So, the Standard Error of the Mean (SEM) for a 93% confidence interval for the proportion of newspapers with a non-conforming attribute is approximately 0.0283.

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(a) This means that p divides ab. Since p is prime, this implies that either p divides a or p divides

(b) We can say that the polynomials (9)x + [6] and (4)x + [8] in this ring do not have a common factor, since their gcd is 1.

(a) To prove that p is prime if and only if /pZ is an integral domain, we need to show two things:

(i) If p is prime, then /pZ is an integral domain.

(ii) If /pZ is an integral domain, then p is prime.

(i) Assume p is prime. We need to show that /pZ is an integral domain. Let a, b be two elements in /pZ such that ab = 0.

b. Therefore, either a or b is 0 in /pZ. This proves that /pZ is an integral domain.(ii) Assume that /pZ is an integral domain. We need to show that p is prime. Suppose that p is not prime.

Then, there exist two integers a, b such that p divides ab but p does not divide a or p does not divide b. In other words, we have a ≡ 0 (mod p) and b ≡ 0 (mod p), but p does not divide a and p does not divide b. This implies that a, b are not 0 in /pZ but ab is 0 in /pZ, which contradicts the fact that /pZ is an integral domain.

Therefore, p must be prime.(b)(i) We have (19)x + (61)(14\x + (81) in (L/122)[x]. To find the product of these polynomials, we can simply multiply each term in the first polynomial by each term in the second polynomial and add up the results, using the distributive law.

We get:(19)x(14/x + (81) + (61)(14/x + (81) = (19 * 14)x² + (19 * 81 + 61 * 14)x + (61 * 81)Modulo 122, this reduces to:

(19)x(14/x + (81) + (61)(14/x + (81) = (19 * 14)x² + (19 * 81 + 61 * 14)x + 15

This tells us that the product of the given polynomials in (L/122)[x] is (19 * 14)x² + (19 * 81 + 61 * 14)x + 15, or equivalently, 9x² + 63x + 15.

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Answer:

$147

Step-by-step explanation:

20×6=120 9×3=27. 120+27=147

Answer:

47.15 if it needs to be rounded to the nearest tenth it would be 47.2

Step-by-step explanation:

I hope this helps

The value of the expression is tan 30.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

We know that,

tan (x - y) = (tan x - tan y) / (1 + tanx tany)

So,

(tan 50 - tan 20)/(1 + tan 50 tan 20)

This can be written as,

= tan (50 - 20)

= tan 30

Thus,

The expression value is tan 30.

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Answer:

y = (1/3)x + 2

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b, where y and x are variables, m is the slope of the line, that is the ratio of the change in vertical distance to horizontal distance while b is the y intercept of the graph.

From the graph, we can see that the y intercept (where the graph touches the y axis) is 2. Hence b = 2

Also, the slope (m) = change in y / change in x = 1 / 3

The equation of the line is:

y = (1/3)x + 2

Answer:y = (1/3)x + 2

Step-by-step explanation:

hope this helps

Answer:

60 red marbles

Step-by-step explanation:

If John picks 10 marbles and 6 of them are red, there is a 60% chance of pulling out a red, which also means 60% of the total number of marbles are red.

(To be fair, 10 marbles is not a lot to base an estimate on, but I digress.)

Therefore, if there is a total of 100 marbles in the bag, 60% of 100 is 60. Our estimate will be 60 red marbles.

Answer:

60 red marbles

Step-by-step explanation:

10 marbles are taken out of the bag.                                    

6 marbles taken out are red.

So the other 4 marbles taken out are blue.

200/4 = 50

50 is close to 60.

Answer:

Step-by-step explanation:

The distance between to things is how far apart those two things are.

The Distance Formula is

d = √[(x1 - x2)² + (y1 - y2)²]

Midpoint: This is the point that bisects a segment in the middle.

The Midpoint formula is:

M = [(x1 + x2)/2, (y1 + y2)/2]

Angle is a point where two straight lines meet.

Answer:

10218.75

Step-by-step explanation:

You should divide the two shapes into a rectangle and a triangle, find the area of each, then add them together like so:

For the rectangle:

37.5*22.5 = 843.75

For the triangle:

To find the base: 75 - 37.5 = 37.5

To find the height, use pythagoream theorem.

62.5² = 37.5² + b²

3906.25 = 1406.25 + b²

3906.25 - 1406.25 = 2500

√2500 = 50.

The height is 50, so 50*37.5(1/2)

= 937.5

Now add them together

937.5 + 843.75

The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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Three types of molds used in metal casting are sand molds, permanent molds, and ceramic molds. For a mold sprue with given dimensions, we can determine the velocity of the molten metal at the base of the sprue, the volume rate of flow, and the time it takes to fill the mold using relevant formulas.

1. In the foundry process, several basic requirements must be met. These include selecting a suitable mold material that can withstand the high temperature of the molten metal and provide proper dimensional accuracy and surface finish. Designing an appropriate gating and riser system is crucial to ensure uniform filling of the mold cavity and allow for the escape of gases. Sufficient venting is necessary to prevent defects caused by trapped gases during solidification. Effective cooling and solidification control are essential to achieve desired casting properties. Finally, implementing quality control measures ensures the final casting meets dimensional requirements and has the desired surface finish.

2. Three common types of molds used in metal casting are as follows:

  - Sand molds: These molds are made by compacting a mixture of sand, clay, and water around a pattern. Sand molds are versatile, cost-effective, and suitable for a wide range of casting shapes and sizes.

  - Permanent molds: Made from materials like metal or graphite, permanent molds are designed for repeated use. They are used for high-volume production of castings and provide consistent dimensions and surface finish.

  - Ceramic molds: Ceramic molds are made from refractory materials such as silica, zircon, or alumina. They can withstand high temperatures and are often used for casting intricate and detailed parts. Ceramic molds are commonly used in investment casting and ceramic shell casting processes.

3. For the given mold sprue, we can determine the following parameters:

  (i) Velocity of the molten metal at the base of the sprue can be calculated using the formula V = √(2gh), where g is the acceleration due to gravity (981 cm/s²) and h is the height of the sprue (22 cm).

  (ii) The volume rate of flow can be determined using the equation Q = V1A1 = V2A2, where Q is the volume rate of flow, V is the velocity of the molten metal, and A is the cross-sectional area at the base of the sprue (2.0 cm²).

  (iii) The time to fill the mold can be calculated using the formula TMF = V / Q, where TMF is the time to fill the mold, V is the volume of the mold cavity (1540 cm³), and Q is the volume rate of flow.

By substituting the given values into the formulas and performing the calculations, we can determine the required values for (i) velocity of the molten metal, (ii) volume rate of flow, and (iii) time to fill the mold.

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Answer: \(y=\frac{1}{2}x+2\)

Step-by-step explanation:

Using the points \((0, 2)\) and \((2, 3)\), the slope of the line is \(\frac{3-2}{2-0}=\frac{1}{2}\).

Since the y-intercept is 2, the equation is \(y=\frac{1}{2}x+2\).

Answer:

None

Step-by-step explanation:

-4x-11=2(x-3x)+13

-4x-11=2x-6x+13

-4x-11=-4x+13

-11=13

Therefore, there are no solutions for the equation as both sides will never be equal to each other.

Answer:

a

Step-by-step explanation:

The 3rd term of the sequence is 48

From the question, we have the following parameters that can be used in our computation:

an = 6x3 n-1

Rewrite properly

So, we have

a(n) = 6 * (3n - 1)

For the third term, we have n = 3

Substitute the known values in the above equation, so, we have the following representation

a(3) = 6 * (3 * 3 - 1)

Evaluate

a(3) = 48

Hence, the third term is 48

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The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.

The given function is \(e^(-2x)\). We can write this in Taylor Polynomial of degree 6 as

\(f(x) = 1 - 2x + 2x^2 - (2^2/2!)x^3 + (2^3/3!)x^4 - (2^4/4!)x^5 + (2^5/5!)x^6 + ε\)

The coefficients of this Taylor Polynomial are 1, -2, 2, -4/2, 8/6, -16/24, 32/120 respectively.

The error in this case is given by ε which is the remainder in the Taylor Polynomial. This is calculated as the value of the n+1th derivative of the function at the point of expansion. We expand the Taylor Polynomial at a=0, so the error ε is given by

\(ε = (2^6/6!)f^(6)(c)\)

for some c between 0 and x. The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.

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Answer:

an expression.

Step-by-step explanation:

have a nice day! ʀɪʙʙɪᴛ

~tsu-chan (>_<)

Answer:

value/expression

Step-by-step explanation:

1 In general, given

a

x

2

+

b

x

+

c

ax

2

+bx+c, the factored form is:

a

(

x

−

−

b

+

b

2

−

4

a

c

2

a

)

(

x

−

−

b

−

b

2

−

4

a

c

2

a

)

a(x−

2a

−b+

b

2

−4ac

​

​

)(x−

2a

−b−

b

2

−4ac

​

​

)

2 In this case,

a

=

3

a=3,

b

=

−

54

b=−54 and

c

=

343

c=343.

3

(

y

−

54

+

(

−

54

)

2

−

4

×

3

×

343

2

×

3

)

(

y

−

54

−

(

−

54

)

2

−

4

×

3

×

343

2

×

3

)

3(y−

2×3

54+

(−54)

2

−4×3×343

​

​

)(y−

2×3

54−

(−54)

2

−4×3×343

​

​

)

3 Simplify.

3

(

y

−

54

+

20

3

ı

6

)

(

y

−

54

−

20

3

ı

6

)

3(y−

6

54+20

3

​



​

)(y−

6

54−20

3

​



​

)

4 Factor out the common term

2

2.

3

(

y

−

2

(

27

+

10

3

ı

)

6

)

(

y

−

54

−

20

3

ı

6

)

3(y−

6

2(27+10

3

​

)

​

)(y−

6

54−20

3

​



​

)

5 Simplify

2

(

27

+

10

3

ı

)

6

6

2(27+10

3

​

)

​

to

27

+

10

3

ı

3

3

27+10

3

​



​

.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

54

−

20

3

ı

6

)

3(y−

3

27+10

3

​



​

)(y−

6

54−20

3

​



​

)

6 Factor out the common term

2

2.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

2

(

27

−

10

3

ı

)

6

)

3(y−

3

27+10

3

​



​

)(y−

6

2(27−10

3

​

)

​

)

7 Simplify

2

(

27

−

10

3

ı

)

6

6

2(27−10

3

​

)

​

to

27

−

10

3

ı

3

3

27−10

3

​



​

.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

27

−

10

3

ı

3

)

3(y−

3

27+10

3

​



​

)(y−

3

27−10

3

​

I hope this help you

​

The result "100" in the simulation simulates that exactly one person in a group of three randomly chosen people who buy movie tickets also buys popcorn.


In the simulation, Lindsey generated three random numbers for each trial to represent the behavior of three people at the movie theater. According to the given rules, any number from 1 through 6 represents a person who buys a movie ticket and popcorn, while any number from 7 through 9 or 0 represents a person who buys only a movie ticket.

To estimate the probability that exactly two in a group of three people selected randomly at a movie theater will buy both a movie ticket and popcorn, Lindsey needed to run multiple trials of the simulation. In one of the trials, the result was "100", which means that one of the three randomly-chosen people bought both a movie ticket and popcorn, while the other two only bought a movie ticket.

Therefore, the result "100" in the simulation simulates that exactly one person in a group of three randomly-chosen people who buy movie tickets also buys popcorn.


Based on the simulation results, Lindsey can estimate the probability of exactly two people buying both a movie ticket and popcorn out of a group of three randomly chosen people who buy movie tickets at the theater. By analyzing all 30 trials of the simulation, Lindsey can calculate the relative frequency of this event and use it as an estimate of the probability.

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Answer: Get a snack.

ANSWER:

A. 1

STEP-BY-STEP EXPLANATION:

A linear function is a polynomial function of the first degree, that is, a function of a variable, which can be written as follows:

Therefore, the correct answer would be:

Answer:

A

Step-by-step explanation:

12/4=3

20/4=5

Answer:

A.) 3:5

Step-by-step explanation:

║All you need to do is simply the ratio 12:20║

                                12:20                                

                                   ↓

                                 6:10

                                   ↓

                                  3:5

The probability that a randomly selected customer only ordered food or only ordered drinks is 0.8695 or 86.95%.

Probability refers to the measure of the likelihood of a particular event occurring. Probability values range from 0 to 1, whereby 0 indicates that the event is impossible, and 1 indicates that the event is certain. When it comes to determining probabilities, two types of events exist, which are mutually exclusive and inclusive events. In mutually exclusive events, the occurrence of one event precludes the occurrence of the other event. In contrast, inclusive events are those whereby the occurrence of one event does not affect the likelihood of the other event occurring. For example, when tossing a coin, the probability of getting heads is 0.5, while the probability of getting tails is also 0.5. In this case, the events are inclusive since the occurrence of one event does not affect the likelihood of the other event occurring.In the question above, we are interested in determining the probability that a randomly selected customer only ordered food or only ordered drinks.

Given the following information about 230 customers: 152 ordered food, 105 ordered drinks, and 41 ordered both. The probability that a randomly selected customer only ordered food or only ordered drinks can be calculated as follows:

Only ordered food P(F) = (152 - 41)/230 = 0.5652

Ordered only drinks P(D) = (105 - 41)/230 = 0.3043

Therefore, the probability that a randomly selected customer only ordered food or only ordered drinks are:

P(F) + P(D) = 0.5652 + 0.3043 = 0.8695.

This implies that the probability that a randomly selected customer only ordered food or only ordered drinks is 0.8695 or 86.95%.

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Explanation

From the given question

We are given the formula to compute the amount that a sum of $8000 compounded quarterly will yield after time t at a rate of 2.8%

The formula is given by

Part A

part B

the amount in the account after 7 years will be

The amount that will be in the account after 7 years will be $9725.57

Part C

APY is given by

In our case we have

Hence, we will have the APY as

Hence, the APY is 2.829%

The distance between the two towers is 30 meters, and the height of the second tower (Tower B) is 90 meters.

We have two towers. Let's call the first tower Tower A, and the second tower Tower B. The height of Tower A is given as 30 meters. The angle of elevation of the top of Tower A from the foot of Tower B is 60 degrees. The angle of elevation of the top of Tower B from the foot of Tower A is 30 degrees. Our goal is to find the distance between the two towers and the height of Tower B.

In triangle ABC, where A is the foot of Tower A, B is the top of Tower B, and C is the top of Tower A:

tan(30 degrees) = AB / BC

Since tan(30 degrees) = 1 / √3, we can rewrite the equation as:

1 / √3 = AB / BC

Cross-multiplying, we get:

BC = AB * √3

In triangle ABC:

tan(60 degrees) = AC / BC

Since tan(60 degrees) = √3, we can rewrite the equation as:

√3 = AC / BC

Substituting the value of BC from Step 3:

√3 = AC / (AB * √3)

Cross-multiplying, we get:

AC = AB * 3

We have two equations:

BC = AB * √3

AC = AB * 3

Dividing equation 2 by equation 1:

AC / BC = 3 / √3

Simplifying, we get:

√3 = 3 / √3

Cross-multiplying, we get:

3 = 3

Since 3 = 3 is a true statement, we can conclude that the two towers are at the same distance as their heights. Therefore, the distance between the two towers is 30 meters.

Using the value of the distance between the towers (30 meters), we can substitute this value into one of the previous equations to find the height of Tower B. Let's use equation 2:

AC = AB * 3

Substituting AB with the distance (30 meters):

AC = 30 * 3

Simplifying, we find:

AC = 90 meters

Therefore, the height of Tower B is 90 meters.

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Answer:

x = 56

Step-by-step explanation:

We are given the following equation:
\(29 = 1 + \frac{1}{2} x\)

We want to solve this equation for x.

To do that, we want to isolate x by itself on one side.

To start, we can subtract 1 from both sides.

\(29 =1 + \frac{1}{2} x\)

-1     -1

__________________

\(28 = \frac{1}{2} x\)

Now, we have the variables on one side, and numbers on the other, but we aren't done yet, because \(\frac{1}{2} x\) is \(\frac{1}{2}\) * x, not just x.

So, we can divide both sides by \(\frac{1}{2}\) to get x by itself.

\(28 = \frac{1}{2} x\)

÷\(\frac{1}{2}\)     ÷\(\frac{1}{2}\)

_____________

\(\frac{28}{\frac{1}{2} } = x\)

56 = x

Answer:

Slope is 2/3.

Step-by-step explanation:

I can't help you plot the points, but the slope formula is y2-y1/x2-x1.

2-4/3-6. -2/-3. This simplifies to 2/3.

T he joint moment generating function of x and y is M(t1, t2) = (1/36)Σx=1^6Σz=1^6 e^(t1x + t2z)

Let X be the value of the first die, which takes on values {1, 2, 3, 4, 5, 6} with equal probability of 1/6 each. Let Y be the sum of the values of two dice, so Y takes on values {2, 3, ..., 12}.

The joint moment generating function of X and Y is given by:

M(t1, t2) = E[e^(t1X + t2Y)]

To compute this, we can use the law of total probability and conditioning on the value of X:

M(t1, t2) = E[e^(t1X + t2Y)]

= Σx P(X=x) E[e^(t1X + t2Y) | X=x]

= (1/6)Σx=1^6 E[e^(t1x + t2Y) | X=x]

Now we need to compute E[e^(t1x + t2Y) | X=x]. We can use the fact that the sum of two dice is the sum of two independent uniform random variables on {1, 2, 3, 4, 5, 6}:

E[e^(t1x + t2Y) | X=x] = E[e^(t1x + t2(x+Z))]

= E[e^(tx) e^(t2Z)]

= MZ(t2) e^(tx)

where Z is a uniform random variable on {1, 2, 3, 4, 5, 6} and MZ(t2) is its moment generating function, which is:

MZ(t2) = E[e^(t2Z)]

= (1/6)Σz=1^6 e^(t2z)

Substituting this back into the expression for M(t1, t2), we get:

M(t1, t2) = (1/6)Σx=1^6 E[e^(t1x + t2Y) | X=x]

= (1/6)Σx=1^6 MZ(t2) e^(tx)

= (1/6)Σx=1^6 [(1/6)Σz=1^6 e^(t2z)] e^(tx)

Simplifying the expression, we get:

M(t1, t2) = (1/36)Σx=1^6Σz=1^6 e^(t1x + t2z)

This is the joint moment generating function of X and Y.

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Either option is valid and correctly written in point-slope form using the point (−5,−2) as (x1,y1).

The point-slope form of an equation of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line

m is the slope of the line.

We can use the given point (−5,−2) as (x1,y1)

Choose any value for the slope m to write the equation of the line in point-slope form.

For example:

Option 1:

Let's choose the slope m to be 2.

Then the equation of the line becomes:

y - (-2) = 2(x - (-5))

Simplifying the equation:

y + 2 = 2(x + 5)

Option 2:

Let's choose the slope m to be -3.

Then the equation of the line becomes:

y - (-2) = -3(x - (-5))

Simplifying the equation:

y + 2 = -3(x + 5)

Either option is valid and correctly written in point-slope form using the point (−5,−2) as (x1,y1).

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