suppose x follows an exponential distribution with mean of 3. determine the conditional probability ( > 5|>3). compare the results with ( >2); what do you find?

Answer:

y-axis

Step-by-step explanation:

points are (x,y)

since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.

reflection just means it rotates 180 degrees (out of the paper, not around)

Step-by-step explanation:

The answer is 99+(77+88)

This means that there are 10 different possible results. Thus, there are 10 different possible values may result.

Let's consider two positive even integers less than (not necessarily distinct). When the sum of these two numbers is added to their product, how many different https://brainly.com/question/30241588https://brainly.com/question/30241588values may result?

Solution:The product of two even numbers will be even.

The sum of two even numbers will also be even. When we add an even number and an even number, the result is always even, and

even + even = even.

However, if we sum two different even numbers with their product, the result is always an odd number.

Even * Even = Even, and

even + even = even.

Even + Odd = Odd.

Therefore, we must find all possible sums of two even numbers. And then, we must determine how many of those sums are even.

Consider the following

:2 + 2 = 4, which is even

.2 + 4 = 6, which is even.

2 + 6 = 8, which is even.

2 + 8 = 10, which is even.

4 + 4 = 8, which is even.

4 + 6 = 10, which is even.

4 + 8 = 12, which is even.

6 + 6 = 12, which is even.

6 + 8 = 14, which is even.

8 + 8 = 16, which is even.

Only even numbers resulted from adding two even numbers. This means that there are 10 different possible results.

Thus, there are 10 different possible values may result.

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The sum of two positive even integers is always an even number, and their product is also an even number. When we add an even number to another even number, the result will always be an even number.

Let's consider two positive even integers, A and B. Since they are positive even integers, they can be expressed as 2x and 2y, where x and y are positive integers.

The sum of A and B is 2x + 2y = 2(x + y), which is always an even number.

The product of A and B is (2x)(2y) = 4xy, which is also an even number.

When we add the sum of A and B to their product, we get an expression:

(2x + 2y) + (4xy) = 2(x + y) + 4xy = 2[(x + y) + 2xy].

Let's define a new positive integer, Z = (x + y) + 2xy.

Now, we can see that the expression (2x + 2y) + (4xy) is equal to 2Z, which is always an even number.

Since the expression is always an even number, there are no different possible values that can result from the sum of two positive even integers less than Z.

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The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Answer:

the slope is -1

Step-by-step explanation:

if u go down 1 then right 1 then u get to the next point

Answer:

A≈1206.37 cm²

Step-by-step explanation:

Radius = 12

Height = 16

Using the formulas

A= πrl+πr²

l = √r²+h²

A=πr(r + √h²+r²)=

π·12·(12+√16²+12²) ≈1206.37158cm²

Given :

⠀

To Find :

⠀

Solution :

Here,

So, from l² = h² + r², we have :

⠀

⠀

\({\qquad \sf \dashrightarrow{ \: l = \sqrt{ {h}^{2} + {r}^{2} \: }cm }}\)

\({\qquad \sf \dashrightarrow{ \: l = \sqrt{ {(16)}^{2} + {(12)}^{2} \: }cm }}\)

\({\qquad \sf \dashrightarrow{ \: l = \sqrt{ 256 + 144 } \: cm }}\)

\({\qquad \sf \dashrightarrow{ \: l = \sqrt{ 400} \: cm }}\)

\({\qquad \sf \dashrightarrow{ \: \bf l = 20 \: cm }}\)

⠀

So, Curved surface area = \( \pi{rl}\)

\({\qquad \sf \dashrightarrow \: 3.14 \times 12 \times 20 \: {cm}^{2} }

\)

\({\qquad \bf \dashrightarrow \: 753.6 \: {cm}^{2} }

\)

⠀

Further, total surface area = \( \pi{rl} + \pi{ {r}^{2} }\)

\({\qquad \sf \dashrightarrow \: (753.6 + 3.14 \times 12 \times 12 )\: {cm}^{2} }\)

\({\qquad \sf \dashrightarrow \: (753.6 + 452.16 )\: {cm}^{2} }\)

\({\qquad \bf \dashrightarrow \: 1205.76 \: {cm}^{2} }\)

We need to simplify the given expression (200 × 1.07) to find how many cars were sold in July. 200 × 1.07= 214. This means that the dealership sold 214 vehicles in the month of July.

A car dealership sells 200 vehicles in the month of June and then sells1 4 more vehicles in the month of July. This can be modeled by the numerical expression 200 1 4 (200). Simplify the expression to find how many cars were sold in July. The dealership sold cars in July.

As given that in the month of June the car dealership sold 200 vehicles and in the month of July, it sold 14 more vehicles than the June month, we can represent this with the help of the numerical expression,200 + 14 = 214.

Now, we need to simplify the given expression (200 × 1.07) to find how many cars were sold in July. 200 × 1.07= 214.

This means that the dealership sold 214 vehicles in the month of July.

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a)There are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

a)Set A has m elements and set B has n elements

Firstly determine the number of elements A*B by using the multiplication rule

Number of elements\(=A*B=m*n=mn\)

For each element, \(A*B\) we have two option

First element 2 ways

Second element 2 ways

mn element 2 ways

By using the multiplication rule

\(2*2*2......=2^m^n }\)

Then there are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

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As per the concept of transformation, the isometry image is option (D).

Transformation:

There are  four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure this process is called transformation.

The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image.

Given,

Here we have the 4 images and their corresponding pre image.

Now, we need to determine the which of the transformations represents the isometry.

To identify the isometry from the given image for s we have to know the concept of isometry.

For that, we have to looking in the definition of isometry.

"Isometry defines that the distance between any two points in the original space is the same as the distance between their images in the second space".

As per this definition, the option (D) is the isometry, because the size of the circle remain same.

But the other images are either enlarged or shrink.

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2 - 300 calories

3 - 1260 calories

6 - 20g

7 - 70mg

The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

3x - 2 = 2x + 6

Collect like terms.

3x - 2x = 6 + 2

x = 8.

The number is 8

Answer:

In trapezium PQRS, AB is parallel to PS and PS is parallel to QR. Since we know the lengths of PA, AQ, and BR, we can calculate the length of SB as follows:

SB = PA + BR - AQ = 3 + 2.1 - 1.4 = 3.7 cm

Answer:

2.  12 2/9

Step-by-step explanation:

Because of the choices, I assume the three addends are mixed numerals:

3 4/7 + 4 2/9 + 4 3/7 =

= 3 + 4 + 4 + 4/7 + 2/9 + 3/7

= 11 + 7/7 + 2/9

= 11 + 1 + 2/9

= 12 2/9

Answer: 2.  12 2/9

Expression is a combination of numbers, variables and operators. x=14 is the solution of the expression x/2 + 4 = 11 .

Expression is a combination of numbers, variables and operators.

The given expression is x/2 + 4 = 11

x by two plus four equal to eleven.

here x is the variable

We have to keep variables on one side and numbers on other side.

Let us subtract 4 on both sides

x/2+4-4=11-4

x/2=7

Multiply two on both the sides

2(x/2)=7×2

x=14.

Among the solution -16 or -4 or 20 or 10. we dont have any value which is 14. Hence the solution is none of them.

Therefore the value of x is 14.

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The starting amoun of fuel was 18.36 gallons

The final amount was 3.9 gallons

To know how much fuel Lena used you have to calculate the difference between what she had at the beginning of the day and what was left at the end of it:

18.36-3.9= 14.46

Lena spent 14.46gallons of fuel.

Answer:

Step-by-step explanation:

are there values for f or b or q? What are we trying to solve?

The fractional equivalent of the repeating decimal 0.2 is 2/9

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

Repeating decimal = 0.2

Represent properly

So, we have

Repeating decimal = 0.2222

Express as fraction

So, we have

Fraction = 2/(10 - n)

In this case

n = 1

So, we have

Fraction = 2/(10 - 1)

Evaluate

Fraction = 2/9

Hence, the fractional equivalent is 2/9

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Answer: Sixtyfive point five

Step-by-step explanation:

this is how we "speak" decimals. the dot is called a point, and the numbers are read as is.

This data will be considered as Qualitative sample.

Qualitative data is the data that is not represented by numbers, On the other hand, the quantitative data is represented by numbers and it is classified as discrete and continuous.

Qualitative sample

In qualitative research, only a sample  of a population is selected for any given study. The study's research objectives and the characteristics of the study population determine which and how many people to select.

Quantitative sample

The quantitative research sampling method is the process of selecting representable units from a large population. Quantitative research refers to the analysis wherein mathematical, statistical, or computational method is used for studying the measurable or quantifiable dataset.

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The ordered pair that describes a point located 4 units to the left of the origin and 6 units below the x-axis is (-4, -6).

In a coordinate graph, the first number in the ordered pair represents the point's position along the x-axis, and the second number represents the point's position along the y-axis.

Since the point is 4 units to the left of the origin, its position along the x-axis is -4. Similarly, since the point is 6 units below the x-axis, its position along the y-axis is -6.

Therefore, the ordered pair for this point is (-4, -6).

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Answer:

30%

Step-by-step explanation:

20 cookies in total - 14 remains = 6

6 / 20 = 0.3

0.3 = 30%

Answer:

\(B.\ x^3 - 2x^2 - 4x + 1\)

Step-by-step explanation:

Given

Polynomials A to D

Divisor: x - 2

Required

Which of polynomial A - D has a remainder of -7

We start by equating the divisor to 0

\(x - 2 = 0\)

Make x the subject of formula

\(x = 2\)

Next is to substitute 2 for x in the polynomials to get the remainder;

\(A.\ 4x^3 + 2x^2 + 5\)

\(4(2)^3 + 2(2)^2 + 5\)

Open Brackets

\(4 * 8 + 2 * 4 + 5\)

\(32 + 8 + 5\)

\(Remainder = 45\)

\(B.\ x^3 - 2x^2 - 4x + 1\)

\((2)^3 - 2(2)^2 - 4(2) + 1\)

Open Brackets

\(8 - 2 * 4 - 4 * 2 + 1\)

\(8 - 8 - 8 + 1\)

\(Remainder = -7\)

\(C.\ 3x^2 + 6x - 2\)

\(3(2)^2 + 6(2) - 2\)

Open Brackets

\(3 * 4 + 6 * 2 - 2\)

\(12 + 12 - 2\)

\(Remainder = -2\)

\(D.\ -2x^3 + 4x^2 + 3x - 2\)

\(-2(2)^3 + 4(2)^2 + 3(2) - 2\)

Open Brackets

\(-2 * 8 + 4 * 4 + 3 * 2 - 2\)

\(-16 + 16 + 6 - 2\)

\(Remainder = 4\)

From the calculations above, the polynomial with a remainder of -7 when divided by \(x - 2\) is \(B.\ x^3 - 2x^2 - 4x + 1\)

The value of the polynomial \(x^3-2x^2-4x+1\) is -7 at x = 2. So, option B is correct.

Important information:

According to the Remainder Theorem, if a polynomial is p(x) is divided by (x-c), then the remainder is p(c).

If polynomials have a remainder of -7 when divided by x – 2. So, the value of the polynomial must be -7 at x = 2.

Substitute x = 2 in the first polynomial.

\(4(2)^3+2(2)^2+5=45\neq -7\)

Substitute x = 2 in the second polynomial.

\((2)^3-2(2)^2-4(2)+1=-7\)

Substitute x = 2 in the third polynomial.

\(3(2)^2+6(2)-2=22\neq -7\)

Substitute x = 2 in the fourth polynomial.

\(-2(2)^3+4(2)^2+3(2)-2=4\neq -7\)

Only the value of the second polynomial is -7 at x = 2. Therefore, the correct option is B.

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Answer:

Answer Below ↓

Step-by-step explanation:

Assume n is a odd number then n-1 will be even and if odd number multiply with even it will be even. So that's for n(n-1) is a even number. If you assume n is an even number then (n-1) will be odd number..Then multiplication of odd and even number will be also even number.. So n(n-1) is always even .

Answer:

37. 0 triangles

38. 1 triangle

39. Yes

40. 13 or greater

Step-by-step explanation:

According to the triangle inequality theorem, the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side, so since 5 + 8 = 13, the third side must not be 13 or greater.

I will only use positive roots to illustrate the procedure.
\(\sqrt{36} -\sqrt{-4} -\sqrt{121} +\sqrt{-64} =\)

6- \(\sqrt{-4}\) -11+ \(\sqrt{-4*16}\) (is multiplication operator)

6- \(\sqrt{-4} -11 + 4\sqrt{4}\) (taking square roots of 16)

6- \(\sqrt{4i}\) -11 +\(4\sqrt{4i}\)     (remember √-4=  √4 • -1   =  √4 • √-1  =√4i)

\(6-11- \sqrt{4i} +4\sqrt{4i}\)  (combine integers and simplify the imaginary terms)

\(-5+3\sqrt{4i}\)   (final result in a + bi form)

Answer:

(-4, 3) 2nd quadrant.

Step-by-step explanation:

Answer:

9 + 10 + 11

Step-by-step explanation:

guess and check

Answer:

9,10,and 11

Step-by-step explanation:

Answer:

width would be 11

Step-by-step explanation:

The equation 170.5/15.5=x would give you the missing value, and when you get x you would be able to tell if it is correct by doing:

15.5x = 170.5 (substitute x with 11)

The possible widths of the region will be 11 feet The correct option is A.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

Given that penny needs at least 170.5 square feet of soil. The length of the region is 15.5 feet.

The width will be calculated as,

Area = Length x width

W = Area / Length

W = 170.51 / 15

W = 11 feet

Hence, the width will be 11 feet.

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