Help please I’m struggling

The probability of the event of a wafer to be conforming and from lot A are as follows;

(a) P(A) ≈ 0.15541

(b) P(C) ≈ 0.84

(c) P(AC) ≈ 0.159

(d) P(A|C) ≈ 0.86

(e) P(C|A) ≈ 0.185

(f) E1 and E2 are independent events

Probability is given by the ratio of the number of required outcomes divided by the number of possible outcomes.

(a) The number of wafers from lot A = 79 + 13 = 92

79+13+157+43+260+40 = 592

Which gives;

The probability that the wafer is from lot A is therefore;

(b) The conforming wafers = 79+157+260 = 496

Which gives;

(c) The conforming wafers in lot A are 79

Therefore;

The probability that the wafer is from lot A and conforming is therefore;

(d) The probability that the wafer is conforming, given that it is from lot A is therefore;

P(A|C) = 79/92 ≈ 0.86

(e) The number of conforming wafers = 496

The probability that the wafer is from lot A given that it is conforming is therefore;

(f) Independent events are events such that the occurrence of one does not impact the probability of the other.

Given that the occurrence of E1 changes the probability of event E2 if the wafer is not replaced, the events are not independent events.

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The value of the given point after rotating the graph from the 270° clockwise around the origin is U(1,10).

According to the statement

We have to find that the value of the given points after rotation.

So, For this purpose, we know that the

The definition of a graph is a diagram showing the relationships between two or more things or equation.

From the given information:

The point U(–10,–1) after a rotation 270° clockwise around the origin.

Then

we have to rotate the graph about the clockwise

And when we rotate the graph clockwise the value of the x and y are interchanged and their signs also changed.

Thus, The value on the graph become 1,10.

So, The value of the given point after rotating the graph from the 270° clockwise around the origin is U(1,10).

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Answer:

-152

Step-by-step explanation:

-156 - (-4)

-156+4

= -152

you could also just go into a normal chrome browser at the top and type in -156-(-4) it will give you -152.

The result of the arithmetic expression as given in the task content is; 112.

It follows from the task content that the given expression is; 38 - (-74).

Hence, in a bid to solve the parentheses, the two negative signs are multiplied to yield a positive sign.

Ultimately, we have the result of the indicated operation as; 38 + 74 = 112.

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Answer:

Step-by-step explanation

t=2002-1992

t=10

p(10)=0.019(10)^3- 0.287(10)^3+ 3.073(10)+ 55.130

P(10)= 19- 287+ 30.73+ 55.130

p(10)= -182.14

Answer:

x=70°

x=109°

Step-by-step explanation:

x+30+80=180

x=180-30-80=70

16.

x=64+45=109°

The equation for the given description is 18 - 0.5x = 6

What is Equation?

A assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to symbol, or "=," is used to indicate it.

An identity, in which the variables can take on any value, or a conditional equation, in which the variables can only take on certain values, is a mathematical declaration that two expressions are identical (roots)

According to the given statement;

Since 18 less than half a number is 6

So here we assume the number be x

Now the equation is

18 - 0.5x = 6

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The area of the figure in the image is 800 square centimeters.

Here we have a square of sidelength of 30cm, such that in each corner we removed little squares of sidelength of 5cm.

Then the area of the figure will be the difference between the area of the first square and 4 times the area of the smaller square,

The area of a square of sidelength of 30 cm is:

A = 30cm*30cm = 900cm^2

The area of a square of sidelength of 5 cm is:

a = 5cm*5cm = 25cm^2

Then the area of the figure is:

area = A - 4a = 900cm^2 - 4*25cm^2 = 800cm^2

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It is not possible for a company to make a profit of $15,000 with the revenue function as 100 x − 0.5 x² and the cost function as 60 x + 300.

We know that:

Profit = Revenue - Cost

Here, we have:

Revenue function = 100 x − 0.5 x²

Cost function = 60 x + 300

Profit = $ 15,000

Substituting the values, we get that:

100 x − 0.5 x² - 60 x - 300 = 15,000

40 x - 0.5 x² - 300 = 15,000

80 x - x² - 300 = 15,000

x² - 80 x + 300 + 15,000 = 0

x² - 80 x + 15,300 = 0

No, it is not possible for a company to make a profit of $15,000 as the above equation has no real solution.

Therefore, it is not possible for a company to make a profit of $15,000 with the revenue function as 100 x − 0.5 x² and the cost function as 60 x + 300.

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[tex]\bf \longrightarrow{f(x) = \frac{1}{x - 7} \: \: \: \: , \: \: \: g(x) = \frac{1}{x - 5} }[/tex]

[tex]\bf \longrightarrow{f \circ g = \frac{1}{ \frac{1}{x - 5} - 7} }[/tex]

[tex] \bf \longrightarrow{so \: \: x - 5 \neq0 \: \: , \: \: \frac{1}{x - 5} \neq7} \\ \\ \bf \longrightarrow{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \neq0 \: \: , \: \: \frac{1}{x - 5} \neq0 }\\ \\\bf \longrightarrow{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 5 \frac{1}{7} } \\ \\ \bf \longrightarrow{and \: a < b }\\ \bf \longrightarrow{so \: a = 5 \: , \: b = 5\frac{1}{7} }[/tex]

Answer:

24x^4+32x^3+32x^2+16x+10

Step-by-step explanation:

Using distributive property,

1. multiple 4x^2 times (6x^2+8x+5)

2. multiple 2 times (6x^2+8x+5)

3. add them together

24x^4+32x^3+20x^2

+ 12x^2+16x+10

______________________

24x^4+32x^3+32x^2+16x+10

Answer: 471.9 miles

Step-by-step explanation:

This is a right triangle so a^2+b^2=c^2

205^2=42025

425^2=180625

=222650

sqrt222650 =471.9

Answer:

Step-by-step explanation:

3TRWRRW

The formula of the sequence is aₙ = 13.5 - 3.5n

The sequence is as follows:

10, 6.5, 3, −0.5, −4...

Studying the sequence, it's an arithmetic sequence.

Therefore, using arithmetic formula,

aₙ = a + (n - 1)d

where

Therefore,

common difference = d = 6.5 - 10 = -3.5

a = first term = 10

Therefore, the formula of the sequence is as follows:

aₙ = 10 + (n - 1)-3.5

aₙ = 10 - 3.5n + 3.5

aₙ = 13.5 - 3.5n

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The required angle measure for the condition of the proportion of angles m∠RPS is 212.35°.

Given that,
m∠QPS = 88
m∠RPS = 5x+34
m∠QPR=8x+15
The measure of the angle m∠RPS is to be determined.

The angle can be defined as the one line inclined over another line. the measure of an angle is measured in two units of degrees and in radiants.

Here,
m∠QPR = m∠QPS + m∠RPS
8x + 15 = 88 +  5x + 34
8x  - 5x = 88 + 34 - 15
3x = 107
x = 107 / 3
x = 35.67
Now,
m∠RPS = 5x+34 = 5 * 35.67 + 34 = 212.35°

Thus, the required angle measure for the condition of the proportion of angles m∠RPS is 212.35°.

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Answer:

312 in total.

Step-by-step explanation:

if 1 type of cookie is 24 cookies. so 13 types of cookies are 312 cookies.l. because 13×24=312

The required equation for how many hours I have to work mowing lawns is f(x) = 10x + 200 and the required no. of hours is 30 hours.

A function can be thought of as an output for the given set of inputs.

According to the given question I work for 25 hours per week at the twist ice-cream shop and earn 8.00 dollars per hour.

∴ My total earning in a week will be (25×8) = 200 dollars.

But i want to earn 500 per week so need (500 - 200) = 300 dollars to reach my goal.

I also mow lawns in my neighbourhood for 10 dollars per hour.

∴  I need (300/10)  = 30 hours to earn the amount i need which is 500 dollars.

An equation can be written as

f(x) = 10x + 200, where x is the no. of hours and f(x) = 500.

500 = 10x + 200.

10x = 500 - 200.

10x = 300.

x = 300/10.

x = 30.

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Answer:

[tex]60cm {}^{2} [/tex]

Step-by-step explanation:

Area for triangle is equal to half base time perpendicular height.

[tex] \frac{1}{2} (10 \times 12)[/tex]

[tex] \frac{1}{2} (120)[/tex]

[tex]60cm ^{2} [/tex]

note that it's 10cm X 12 cm that's how you get cm²

√3 is an irrational number as it is non terminating and non repeating number.

Irrational number - In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

They are non terminating and non repeating in nature.

For example 22 / 7 , √ 5 , √ 7 and many more.

Here, √3 is an irrational number as it is non terminating and non repeating number.

Therefore, √3 is an irrational number as it is non terminating and non repeating number.

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Answer:

See below

Step-by-step explanation:

Area * thickness = volume

540 m^2  * .5 m = 270 m^3

15 trucks  ===>     270 m^3 / 15 trucks = 18 m^3 per truck

(a) The HCF of ( 9y + x ) and ( 3y + 4x ) is 11x

b) The LCM of ( 9y + x ) and ( 3y + 4x ) is 22x.

The ratio of x and y is given as:

x : y = 3 : 7

Then,

(x / y) = ( 3 / 7)

7x = 3y

(a) HCF of ( 9y + x) and ( 3y + 4x)

Now,

9y + x = 3(3y) + x

9y + x = 3(7x) + x

9y + x = 22x

And;

3y + 4x = 7x + 4x

3y + 4x = 11x

Now, the HCF of 22 and 11 is 11 because 22 = 2 × 11 and 11 = 11 × 1.

Therefore,

HCF of ( 9y + x ) and ( 3y + 4x ) is 11x.

(b) The LCM of (9y+x) and (3y+4x)

We know,

9y + x = 22x and 3y + 4x = 11x

So, LCM of ( 9y + x ) and ( 3y + 4x ) is 22x.

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The equivalent of 14.72 inches in centimeter is 37.3888 cm

An equation is an expression that shows the relationship between two or more numbers and variables.

The conversion from inches to cm is given by:

1 in = 2.54 cm

Hence:

14.72 in = 14.72 in * 2.54 cm per in = 37.3888 cm

The equivalent of 14.72 inches in centimeter is 37.3888 cm

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Answer:

the answer is 3.6 ft

Step-by-step explanation:

I didn't know how to do it so I looked it up

According to the linear equation, The number of adults tickets are 44  and number of Student tickets are 10.

According to the statement

We have to find that the Linear equation and solve it.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

A charity-event manager counted 54 ticket receipts the day after an event. The price for an adult ticket was $21, and the price for a student ticket was $5. The register confirms that $974.

Then

Let number of adult tickets = x

Let number of student tickets = y

And charity-event manager counted 54 ticket receipts

=> x + y = 54 -(1)

The price for an adult ticket was $21

price for a student ticket was $5

Total Amount = 21x + 5y

The register confirms that $974 was taken in.

=> 21x + 5y = 974 -(2)

The system of equations represents matters :

x + y = 54

21x + 5y = 974

Eq2 - 5 * Eq1

=> 21x - 5x = 974 - 270

=> 16x = 704

=> x = 44

And

44 + y = 54

=> y = 10

The number of tickets are 44 Adults & 10 Student tickets.

So, According to the linear equation, The number of adults tickets are 44  and number of Student tickets are 10.

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The diagram could be used to prove △ABC ~ △EDC using similarity transformations is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.

From the question, we have the following highlights

Similar triangles do not have to be congruent triangles

This means that if two triangles are similar, then one triangle  has been dilated to form the other triangle

This also means that

The corresponding angles of the triangles are equal while the corresponding sides of the triangles are not equal

The transformation that supports the above highlights is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.

Hence, the diagram could be used to prove △ABC ~ △EDC using similarity transformations is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.

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Answer: A. or the first one.

Step-by-step explanation: TRUST ME!  Answer correct on Edge.

My first attempt was wrong but my second attempt was correct.

At random selection, there are 4, five-card selections possible.

Since there are only 20 cards in the deck so there are 4 sections of 5 cards each is possible as 4 × 5 = 20.

Therefore, there are 4, five-card selections possible.

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Answer:76 copies

Step-by-step explanation:

hope this helps

Answer:

6 push ups per day

Step-by-step explanation:

→  [tex]12 \div 2 = 6~push~ups[/tex]

Answer: 6 push-ups per day

Step-by-step explanation:

12 push-ups/2 days = 12/2 = 6 push-ups each day for 2 days to have 12 push-ups total.

Answer:

[tex]3^{16/5}[/tex]

Step-by-step explanation:

[tex]3^3 \times \sqrt[5]{3} \\ \\ =3^3 \times 3^{1/5} \\ \\ =3^{16/5}[/tex]

It should be noted that the product of 61.18 and 82 will be 5016.76.

It should be noted that a product of a given set of numbers simply means the multiplication of the numbers that are given.

In this case, we want to get the product of 61.18 and 82. This will be:

= 61.18 × 82

= 5016.76

In conclusion, the product of 61.18 and 82 will be 5016.76.

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What is the product of 61.18 and 82?