simply the following
a) 2(y-1)/3-3(y-2)/4=1
b) 3x=44/5=2x+6

In order to use the Normal approximation for the sampling distribution of p

the sample should have at least 10 successes and at least 10 failures.

The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or the mode of a variable.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

For a sample of size n = 125,

The condition for the sample size to be large enough is that both np and       n(1-p) should be greater than or equal to 10. This means that the sample should have at least 10 successes and at least 10 failures. If this condition is met, we can use the Normal approximation for the sampling distribution of p.

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It is false that the cost of two pounds of apple cast is more than $ 3.50.

Here to find the cost of the given quantity we need to find the cost of 1 unit i.e 1 pound in the given problem so that we can find the cost of given quantities. It is called a unitary method.

Given that  

Andrew buy 8 pounds of apples for $ 12.00  

Let 'x' be the cost of 1 pound of apples

By the given data,

=> 8x = $ 12

=> x = 12/8

=> x = 1.5  

The cost of 1 pound of apples = $ 1.5

Cost of 2 pounds apples = 2 × 1.5 = 3

Therefore,

It is false that the cost of two pounds of apple cast is more than $ 3.50.

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The number will be "6".

Let,

According to the question, the equation will be:

By solving the above expression, we get

→ [tex]6\times x=36[/tex]

By applying cross-multiplication, we get

→ [tex]x = \frac{36}{6}[/tex]

→    [tex]= 6[/tex]

Thus the above response i.e., "option b" is correct.

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Answer:

y = 2x

Step-by-step explanation:

y = mx + b

m = 2

y-intercept = b = 0

y = 2x + 0

y = 2x

Answer:

Step-by-step explanation:

2/10=.2, 6.2

6.2×6=37.2

37.2+6.2= 43.4

43.4= 43[tex]\frac{4}{10}[/tex]

Answer:

It would be 49 cm

Step-by-step explanation:

Knowing the the perimeter of Tri RST is 28 cm and that it is a dilated by a 4:7 Scale Factor from Tri GHI:

(4/7)x = 28cm

(4/7)x (7/4) = 28cm (4/7)

x = 49cm

Hope that helps.

Answer:

the answer is C

Step-by-step explanation:

[tex] \frac{7}{7} - \frac{4}{7} + \frac{2}{7} [/tex]

Step-by-step explanation:

Step 1 :-

> 7/7 - 4/7

> 7-4/7

> 3/7

Step 2 :-

> 3/7 + 2/7

> 3 + 2/7

> 5/7

Option C is correct

The volume of Pill Bluetooth Speaker is 39.78 cubic inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.

The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.

Radius =2/2 1 inch

We know that, the volume of semi sphere is 2/3 πr³

= 2/3 ×3.14×1³

= 2.1 cubic inches

We know that, 1 foot =12 inches

The volume of cylinder is πr²h

= 3.14×1²×12

= 37.68 cubic inches

Total volume =37.68+2.1

= 39.78 cubic inches

Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.

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"Your question is incomplete, probably the complete question/missing part is:"

Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.

a) Volume of the Bluetooth Speaker ______

Answer: 13.6 grams per egg.

Step-by-step explanation:

A simulation game attempts to copy various activities from real life in the form of a game for various purposes such as training, analysis, prediction, or entertainment.

The most suspicious set of outcomes for a simulated game of chess that is supposed to be biased in favor of player B winning 4 out of 5 times would be if player B won all 30 games. This outcome would be highly unlikely if the game was truly random and the bias towards player B was accurate. Other suspicious outcomes could include player B winning 29 out of 30 games or player B winning 28 out of 30 games with a high margin of victory in each game.

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Therefore , the solution of the given triangle comes out to be  AC = 10 units and PD = 6 units.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. They are among the earliest geometric shapes to be studied. Triangles are especially important since they may be divided into each polygon, whether it has four, five, six, or n sides.

Here,

Let AD and DC are 2x and x respectively.

We have, BC = 10 units

=> 2x =10

=> x = 10/2

=> x= 5

Now ,

=> AP + PF = 8 + y

=> 8 + y = 12

=> y =4

Therefore , the solution of the given triangle comes out to be  AC = 10 units and PD = 6 units.

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Answer:

115 degrees

Step-by-step explanation:

The incenter is where the angle bisectors of a triangle meet.  So [tex]m\angle{PQK}=15^\circ \text{ and } m\angle{PQR}=30^\circ[/tex].

To find the measure of angle RKQ, we need to find the measure of angle PRQ.  In the big triangle, the sum of angle measures is 180 degrees, and we know two of the angles, 50 deg and 30 deg (for a total of 80 deg).  That leave 100 degrees for the measure of angle PRQ.

But RK is an angle bisector, so [tex]m\angle{KRQ}=50^\circ[/tex].

We now know two of the angles in [tex]\triangle{KRQ}[/tex], 50 deg and 15 deg.  Those total 65 degrees, so [tex]m\angle{RKQ}=180^\circ - 65^\circ=115^\circ[/tex]

Answer:

x > 3

Step-by-step explanation:

The true inequalities are:

5/6 > 4/6

3/8< 5/8

2/3 > 1/3

The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.

The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.

5/6 > 4/6

0.833 > 0.667

so, this inequality is true.

3/8 < 5/8

0.375 < 0.625

so, this inequality is true.

4/5 < 2/5

0.8 < 0.4

so, this inequality is false.

4/7 > 6/7

0.571 > 0.857

so, this inequality is false.

2/3 > 1/3

0.667 > 0.333

so, this inequality is true.

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The Rs. 10,000 Regan lent to Sandip and Saline and the Rs.2160 more interest Saline paid than Sandip after 3 years at an 18% simple interest rate, indicates by expressing the amounts using equations, that the amount Regan gives to Sandip and Saline is Rs. 3,000 and Rs. 7,000 respectively.

An equation is the presentation of a statement of the equivalence between quantities, or expressions, by joining the expressions with a '=' sign.

The amount Regan has = Rs. 10,000

Let x represent the amount Regan lent to Sandip, we get;

The amount Regan lent to Saline = 10,000 - x

The interest rate of the loan Regan lent to Sandip and Saline = 18% simple interest

The interest Saline paid to Regan after 3 years, using simple interest = Rs. 2160 + The interest Saline paid to Regan

The simple interest formula is; I = P·R·T/100

Where;

P = The principal amount loaned

R = The interest rate = 18%

T = The time or duration of the loan = 3 years

Therefore;

(10000- x) × 18/100 × 3 = 2160 + x × 18/100 × 3

5400 - 0.54·x = 2160 + 0.54·x

5400 - 2160 = 0.54·x + 0.54·x = 1.08·x

3240 = 1.08·x

x = 3240 ÷ 1.08 = 3000

The amount Regan lent to Sandip, x = Rs. 3000

The amount Regan lent to Saline = 10,000 - x

x = 3000

10,000 - x = 10,000 - 3000 = 7,000 (substitution property)

The amount Regan lent to Saline = Rs. 7,000

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The angles that would make triangle ABC congruent to triangle PDF by AAS are ∠ ACB and ∠ PFD i.e. ∠ ACB = ∠ PFD.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The triangle ABC and PDF are concurrent by AAS,

The AAS concurrency required two angles and one side to be equal,

Here,

AB = PD,

∠ ABC = ∠ PDF

Now one more angle is required to be equal,

∠ ACB = ∠ PFD  

Thus, the missing angle is ∠ ACB and ∠ PFD.

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Answer:

Step-by-step explanation:

y - 5 = -1/7(x - 4)

y - 5 = -1/7x + 4/7

y - 35/7 = -1/7x + 4/7

y = -1/7x + 39/7

The evaluation of the expression 2(b + 4) when b = 4 is 18

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

Expression: 2(b + 4)

Values: b = 5

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

2(b + 4) = 2 * (5 + 4)

Evaluate the products

This gives

2(b + 4) = 10 + 8

Evaluate the like terms in the equation

So, we have the following representation

2(b + 4) = 18

Using the above as a guide, we have the following:

The solution is 18

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Answer:

28 yards

Step-by-step explanation:

It's perimeter so you add (6x2)+(8x2)

The x2 is because there's 2 of each side

Answer:

9.4 x 11 = 103.4

15 + 7 = 22, 22 x 5 = 110, 110 divided by 2 = 55

55 x 2 (since there are two trapezoids) = 110

5 x 11 = 55

7 x 11 = 77

15 x 11 = 165

Now we add all the areas up:

103.4 + 110 + 55 + 77 + 165 = 510.4 square feet2 is your answer.

Answer:

h = 24

Step-by-step explanation:

h ÷ 7.5 = 3.2

Multiply both sides by 7.5

h = 3.2 × 7.5

h = 24

The planes that contain point W from the given image are;

Plane V

Plane VWY

Plane RYV

A coordinate plane is a graphing and description system for points and lines. A vertical y-axis and a horizontal x-axis make up the coordinate plane.

From the attached image, we see that the planes whose name contains V also contains W.

The plane B contains the line XR and the Line YV as well as the W at the line YV.

Finally, the plane m also contains line YV and obviously the same as plane RYU.

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Answer:

Answer is 600!

Step-by-step explanation:

Answer:

x^2(x^2 - 15) + 9(x-6)(x+1)

Step-by-step explanation:

To factor the expression x^4 - 15x^2 + 54 completely, we need to find the common factors in each term. In this case, we can see that the terms x^4 and -15x^2 share a common factor of x^2. To factor this out, we can use the difference of squares factorization:

x^4 - 15x^2 + 54 = x^4 - 15x^2 + (9x^2 - 9x^2) + 54

= x^2(x^2 - 15) + 9(x^2 - 6)

= x^2(x^2 - 15) + 9(x-6)(x+1)

Since x^2-15 can't be factored further. The expression is fully factored.

We can check this by multiplying it back and it should be the same as original expression.

Answer:

Assuming 64y - 24z = 0, y= 3z/8 and z = 8y/3

Step-by-step explanation:

plugged it into a calculator.

Answer:

Formulas for Arc Length

The formula to measure the length of the arc is –

Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)

Arc Length Formula (if θ is in radians) s = ϴ × r

Arc Length Formula in Integral Form s= ∫ba1+(dydx)2−−−−−−−−s= ∫ba1+(dydx)2−−−−−−−−√dx

Step-by-step explanation:

the given ratio is

8 / 20/10 = 8 / 2 = 4

for x mathletes we need to keep the same ratio :

x / 30/5 = 4

x / 6 = 4

x = 4×6 = 24

24 mathletes.

The best explanation of Irrational Numbers is that , the numbers  that cannot be expressed as a ratio of integers are called as Irrational Numbers .

What are Irrational Numbers ?

The Irrational numbers are the real numbers that cannot be represented in the form of a ratio ([tex]\frac{p}{q}[/tex]) . In other words, the real numbers that are not rational numbers are called as irrational numbers.

For Example : [tex]\pi[/tex] is an irrational number as   [tex]\pi =3.1415925...[/tex] The decimal value in the expansion never stops at any point.

Some Property of Irrational Numbers are :

(i) The Irrational numbers consist of only non-terminating and non-recurring decimals.

(ii) The Irrational Numbers  are real numbers only.

(iii) The Addition, subtraction, multiplication, and division of any two irrational numbers may or may not be a rational number.

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Answer:

k = 9

Step-by-step explanation:

According to the Factor theorem, if (x - a) is a factor of f(x) then f(a) = 0

given (x - 6) is a factor of f(x) then f(6) = 0 , that is

3(6)³ - 17(6)² - 6k + 18 = 0

3(216) - 17(36) - 6k + 18 = 0

648 - 612 - 6k + 18 = 0

36 - 6k + 18 = 0

54 - 6k = 0 ( subtract 54 from both sides )

- 6k = - 54 ( divide both sides by - 6 )

k = 9