Find the value of each variable. For
the circle, the dot represents the center.
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Simplify your answer.)
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Find answer is the given attachment

The joint probability mass function of N1 and N2 for the given transistors is 1/15.

For the stated question-

N1: The number of tests conducted before the first flaw is found = 2/6.

N2: The number of tests that must be performed before the second problem is found = 1/5.

If N1 = 1 and N2 = 1, then

P(N1 = 1; N2 = 1) = 2/6 x 1/5

P(N1 = 1; N2 = 1) = 2/30

P(N1 = 1; N2 = 1) = 1/15

Thus, joint probability mass function of N1 and N2 for the given transistors is 1/15.

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Answer:

$142.5

Step-by-step explanation:

225-60=165

165/2=82.5

82.5+60=142.5

Answer:

$39.24 + tax

Step-by-step explanation:

The solution is, 52 ft is the perimeter of the base of the pyramid.

Here, we have,

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

Area = side * side

Let the side be equal to  ft.

Putting the given values in the formula:

169 = a^2

so, a = 13 ft

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4  Side

Perimeter = 4 * 13 = 52ft

The solution is, 52 ft is the perimeter of the base of the pyramid.

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complete question:

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

The value of p from the given equation is 4.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign \(=\\\).

The given equation is \(0.5p-3.45=-1.2\)

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The equation can be solved as follows

\(0.5p-3.45=-1.2\)

\(0.5p= -1.2+3.45\)

\(0.5p= 2.25\)

\(p= 2.25\div0.5\)

\(p= 4.5\)

Therefore, the value of p is 4.5.

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Answer:

150pi

Step-by-step explanation:

lets just say the two circles are 10 and 10 in diameter. so, one square is 5 radius. The square is 25pi area. so two are 50pi area. the area of the rectangle is 200, so 150pi

Please tell me if I'm wrong D:

Answer:

The answer is 160 cm

Step-by-step explanation:

Square is a quadrilateral which has all its sides equal

Perimeter = 2l +2l

=20 times 2 + 20times 2

=40+40

=80

Wrap 2 times= 80 +80

=160cm

Answer:

1/2 or 0.5

Step-by-step explanation:

The slope formula is: y2-y1/x2-x1

The two coordinates shown in the graph: (-1,0) and (3, 2)

-

Now lets substitute:

m= 2-0/3-(-1)

m = 1/2 or 0.5

Given equation:

By using middle term factirization we get,

So, the roots are real and same.

Thus, the equation have a repeated real rools.

Answer: Option (A)

Answer:

its a

Step-by-step explanation:

good luck!!

Answer:

x =3i, -2i

Step-by-step explanation:

did it like a quadriatic formula  

that is what i got so (maybe) the other way of is an answer as well?

The triangle with relation 9²+40²=41² is right angles Triangle.

We know, Pythagorean Triples where any 2 side the sum of the squares adds up to be equal the other side.

We have a triangle has side lengths are 40, 9 and 41

Here the longest side in a right angle triangle is Hypotenuse.

Now, the square of the two other sides

= 9²+40²

= 1,681

and, 41² = 1,681

As we can see, the sum of the squares equal the square of the hypotenuse

Thus, This triangle proves the theorem, hence we can say that it's a right triangle.

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Answer:

The height does not lie on the base because it is perpendicular to the base.

The error in the proportion is the second line should be 2x + 18 = 3x making the final answer 18 = x

The error in the solution of the proportion shown can be calculated as follows:

Therefore, let's solve the equation to know the error made.

2 / 3 = x / x + 9

cross multiply

2(x + 9) = 3x

open the brackets

2x + 18 = 3x

subtract 2x from both sides of the equation

2x + 18 = 3x

2x - 2x + 18 = 3x - 2x

x = 18

Therefore, he made mistake in the second line, it should be  2x + 18 = 3x making the final answer 18 = x

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Answer:

y = -⅖x + 1

Step-by-step explanation:

2x + 5y = 5

5y = 5 - 2x

y = 1 - ⅖x

The value of x is approximately 0.5263. This means that when z is 4.0 and y is 7.6, x can be calculated as 0.5263 to satisfy the equation.

To find the value of x, we can substitute the given values of z and y into the formula and solve for x.

The formula given is:

z = yx

Given that z = 4.0 and y = 7.6, we can rewrite the formula as:

4.0 = 7.6x

To solve for x, we'll divide both sides of the equation by 7.6:

4.0 / 7.6 = x

Simplifying the division gives us:

0.5263 = x

Therefore, the value of x is approximately 0.5263.

Let's double-check our result by substituting this value back into the formula:

z = yx

4.0 = 7.6 * 0.5263

Calculating the right side of the equation:

4.0 ≈ 4.0

The equation holds true, confirming that x ≈ 0.5263 is the correct value.

In summary, based on the given formula z = yx, with z = 4.0 and y = 7.6, the value of x is approximately 0.5263. This means that when z is 4.0 and y is 7.6, x can be calculated as 0.5263 to satisfy the equation.

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Answer:

The answer is d

Step-by-step explanation:

\(\frac{PQ}{JK}\) ≅ \(\frac{PS}{JL}\)

Answer:

the second one

Step-by-step explanation:

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

In statistical experiments, each time the experiment is repeated different outcome might occur.

Statistics is a scientific method of organizing data by numbers and interpreting them. From a research point of view, there are several roles of statistics, namely:

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The linear approximation of 65 without the need for a calculator is 8.5.

To find the equation of the two lines tangent to the curve at the point (2,7), we first need to find the derivative of the curve. The given curve is xy² - 7y = 3 - xy.

Differentiating the curve with respect to x, we get:

dy/dx = (7 - 2xy) / (2x - y²)

Substituting x = 2 and y = 7 into the derivative, we have:

dy/dx = 1/5

Therefore, the slope of the tangent at the point (2,7) is 1/5.

Let the equation of the tangent be y = mx + c. Substituting x = 2 and y = 7 into the given equation, we get:

28 - 49 = 3 - 2m + c

27 = -2m + c ...(1)

Since the tangent passes through the point (2,7), we have:

7 = 2m + c ...(2)

Solving equations (1) and (2), we find:

m = 3 and c = 1

So, the equation of the tangent is y = 3x + 1.

To find the second tangent, we need to find another point where the tangent touches the curve. Let's try x = 4.

Substituting x = 4 into the given equation, we get:

4y² - 7y = 3 - 4y

4y² - 3 - 7y + 4y = 0

y(4y - 3) - 3(4y - 3) = 0

(4y - 3)(y - 3) = 0

y = 3/4 or y = 3

Putting y = 3/4, we get x = 13/8

Putting y = 3, we get x = 0

Therefore, the equation of the tangent at x = 4 is y = 3x - 9.

Now, to approximate the value of 65 using linear approximation without using a calculator, we can use the formula:

Linear approximation = f(a) + f'(a) * (x - a)

Let's consider f(x) = √x. We can use a = 64 as our reference point.

f(a) = f(64) = √64 = 8

f'(a) = 1 / (2√a) = 1 / (2√64) = 1/16

x = 65

Substituting these values into the linear approximation formula, we have:

Linear approximation = f(64) + f'(64) * (65 - 64) = 8 + 1/2 = 8.5

Therefore, the linear approximation of 65 without the need for a calculator is 8.5.

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The equations of the two lines tangent to the curve at x = 2.

To determine the equations of the two lines tangent to the curve xy² - 7y = 3 - xy when x = 2 to find the slope of the curve at that point and use it to form the equation of a line.

find the derivative of the given equation with respect to x:

Differentiating both sides with respect to x:

d/dx (xy² - 7y) = d/dx (3 - xy)

Using the product rule and chain rule:

y² + 2xy × dy/dx - 7 × dy/dx = 0 - y × dx/dx

Simplifying:

y² + 2xy ×dy/dx - 7 × dy/dx = -y

Rearranging and factoring out dy/dx:

(2xy - 7) × dy/dx = -y - y²

Dividing by (2xy - 7):

dy/dx = (-y - y²) / (2xy - 7)

substitute x = 2 into the derivative equation to find the slope at x = 2:

dy/dx = (-y - y²) / (4y - 7)

At x = 2,  to find the corresponding y-coordinate by substituting it into the original equation:

2y² - 7y = 3 - 2y

2y² - 5y - 3 = 0

Solving this quadratic equation, we find two possible y-values: y = -1 and y = 3/2.

For y = -1, the slope at x = 2 is:

dy/dx = (-(-1) - (-1)²) / (4(-1) - 7) = 2/3

For y = 3/2, the slope at x = 2 is:

dy/dx = (-(3/2) - (3/2)²) / (4(3/2) - 7) = -4/3

The slopes of the two lines tangent to the curve at x = 2. To find their equations,  the point-slope form of a line:

y - y₁ = m(x - x₁)

For y = -1:

y - (-1) = (2/3)(x - 2)

y + 1 = (2/3)(x - 2)

For y = 3/2:

y - (3/2) = (-4/3)(x - 2)

y - 3/2 = (-4/3)(x - 2)

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Step-by-step explanation:

\(2x + 5 = 11 \\ 2x = 11 - 5 \\ 2x = 6 \\ x = 6 \div 2 \\ x = 3\)

the lengths of sides KN and NM of the kite KN =  15   units and NM =   20 units

What is quadrilateral?

Quadrilaterals are typically four-sided closed shapes, and there are numerous varieties of them. Square, rectangle, rhombus, kite, and trapezoid are the most typical shapes. Four closed sides make up a quadrilateral. Quadrilaterals are the following figures: a four-sided figure. The form features a single set of parallel sides and no right angles.

Given that KLMN is a kite

According to the given figure KN = KL and LM=NM

we have the equation y+10=2y+5

y = 5

So KN = KL =15

On putting x =7 for LM and MN we get

LM = MN = 20

Hence, the lengths of sides KN and NM of the kite KN =  15   units and NM =   20 units

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Answer:

5

Step-by-step explanation:

Answer:

8x^2 - 2xy + 3y^2

Step-by-step explanation:

Use the FOIL method

8x^2 + 4xy - 6xy + 3y^2

8x^2 - 2xy + 3y^2

Given that 19 students completed the first quiz, the probability that the same children who finished the first exam also passed the second quiz is P(S/F) = 0.63.

How possible something is to happen is determined by its probability. By dividing the whole significance level by the total number of ways an event could occur, one can calculate the likelihood.

In this situation, conditional probability is used. P represents the conditional probability like an occurrence, A, given that B has occurred (AIB). We would estimate the likelihood as

P(AIB) is defined as (Probability of A and B)/Probability of B.

Probability of S and F in the iven question is 12/21. (12 of the students in the class passed both quizzes)

Probability of S = 19/21

Therefore,

P(SIF) = (12/21) / (19/21)

(PSIF) = 12/21 * 21/19

(PSIF) = 12/19 = 0.63

The correct option is A

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The complete question is-

Mr. Brown's statistics class consists of 21 seniors. The class took two quizzes in one week, and 12 of the students in the class passed both quizzes. What is the probability that the same students who passed the first quiz also passed the second quiz given that 19 students passed the first quiz?

A. P(S/F) = 0.63

B. P(S/F) = 0.2

C. P(S/F) = 0.8

D. P(S/F) = 1.31

Answer:

\(12w^7 z^6\)

Step-by-step explanation:

\(2w^5 z(6w^2 z^5)=(2)(6)w^5 w^2 z^5 z=12w^7 z^6\)

Answer:

2000 × 9% × 6/12 = 90

2000+90 =2090

Square and rhombus have

4 equivalent sides

4 angles

2 pair of congruent sides

2 pair of parallel sides