A ABG - ASRG R 12 X G А S 14 36 B. AA ~; X=31 O SAS ~; X= 31 AA ~; X = 42 SAS - ; x = 42

You have the following expression:

Answer:

a > 6

Step-by-step explanation:

\(a-2 > 4\\=a-2+2 > 4+2\\a > 6\)

Answer:

a)  The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

b)  P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

c) P ( z = 0 ) = 0.6

  P ( z = 1 ) = 0.4

Step-by-step explanation:

Number of head on first toss = Z

Total Number of heads on 2 tosses = W

% of head occurring = 40%

% of tail occurring = 60%

P ( head ) = 2/5 ,    P( tail ) = 3/5

a) Determine the joint probability distribution of W and Z

P( W =0 |Z = 0 ) = 0.6         P( W = 0 | Z = 1 ) = 0

P( W = 1 | Z = 0 ) = 0.4        P( W = 1 | Z = 1 ) = 0.6

P( W = 1 | Z = 0 ) = 0           P( W = 2 | Z = 1 ) = 0.4

The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

B) Marginal distribution of W

P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

C) Marginal distribution of Z ( pmf of Z )

P ( z = 0 ) = 0.6

P ( z = 1 ) = 0.4

Part(a): The required joint probability of W and Z is ,

\(P(0,0)=0.36,P(1,0)=0.24,P(2,0)=0,P(0,1)=0,P(1,1)=0.24,\\\\P(2,1)=0.16\)

Part(b): The pmf (marginal distribution) of W is,

\(P(w=0)=0.36,P(w=1)=0.48,P(w=2)=0.16\)

Part(c): The pmf (marginal distribution) of Z is,

\(P(z=0)=0.6,P(z=1)=0.4\)

Part(a):

The joint distribution is,

\(P(w=0\z=0)=0.6,P(w=1|z=0)=0.4,P(w=2|z=0)=0\)

Also,

\(P(w=0\z=1)=0,P(w=1|z=1)=0.6,P(w=2|z=1)=0.4\)

Therefore,

\(P(0,0)=0.36,P(1,0)=0.24,P(2,0)=0,P(0,1)=0,P(1,1)=0.24,\\\\P(2,1)=0.16\)

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The least positive number with this property is given as follows:

N = 280.

A number N gives remainder 0 when divided by 8, it gives remainder 0, when divided by 7 and it is an even multiple of 5, hence the number is multiple of these 3 numbers.

Before obtaining the number, we must obtain the least common multiple of 8, 7 and 5, factoring them by prime factors as follows:

8 - 7 - 5|2

4 - 7 - 5|2

2 - 7 - 5|2

1 - 7 - 5|5

1 - 7 - 1|7

1 - 1 - 1.

Hence:

lcm(8,7,5) = 2³ x 5 x 7 = 280.

280 is an even multiple of 5, as it is an even number, hence it is the least positive number N with the property in this problem.

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1. 5 x 4 = A. 20

2.

\( \frac{2}{5} \times 25 = 2 \times 5 = 10\)

the answer is D. 25

3.

\( \frac{3}{5} \div 15 = \frac{3}{5} \times \frac{1}{15} = \frac{1}{5} \times \frac{1}{5} = \frac{1}{25} \)

the answer is A. 1/25

4.

\(4 \div \frac{1}{2} = 4 \times \frac{2}{1} = 8\)

the answer is C. 8

5.

\(9 \div \frac{1}{3} = 9 \times \frac{3}{1} = 27\)

the answer is D. 27

6.

\(20 \div \frac{1}{4} = 20 \times \frac{4}{1} = 80\)

the answer is D. 80

7.

\( \frac{9}{10} \div \frac{1}{2} = \frac{9}{10} \times \frac{2}{1} = \frac{18}{10} = \frac{9}{5} = 1 \frac{4}{5} \)

the answer is C. 1 4/5

8.

\(9 \div \frac{3}{2} = 9 \times \frac{2}{3} = \frac{18}{ 3} = 6\)

the answer is B. 6

9.

\( \frac{3}{4} \div \frac{3}{8} = \frac{3}{4} \times \frac{8}{3} = 2\)

the answer is A. 2

Answer:

18/4=x/10

Step-by-step explanation:

Answer:

-25 plug in 6 for x and minus one

Step-by-step explanation:

Answer:

F(6)=-25

Step-by-step explanation:

F(x) = -4x-1

F(6) means x=6

F(6)=-4(6)-1=-24-1=-25

F(6)=-25

answer:

14 is two times greater than 7.

so,

10 is two times greater than 2x - 19

10 = 2(2x - 19)

10 = 4x - 38

48 = 4x

x = 12

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Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

Answer:

46.7%

Step-by-step explanation:

Given:

Total number of students in Mrs. Verner's class = 15

Number of girls = 8

To find: percentage are boys

Solution:

Percentage of boys = ( Number of boys / Total number of students ) × 100

Number of boys = Total number of students - Number of girls = 15 - 8 = 7

So,

Percentage of boys = \(\frac{7}{15}\) × 100 = 46.7%

Answer:

40/8= 5

Step-by-step explanation:

5/1

Your selected answer is correct.

5/1

Answer:

At a package weight of 8 kilograms, the two couriers both cost $37

Step-by-step explanation:

Let's say the package weighs w kg.

First courier: 13 + 3 per kg = 13 + 3 for each w = 13 + 3w

Second courier: 5 + 4w

They are equal in cost, so

13 + 3w = 5 + 4w

subtract 3w from both sides to put all the variables on one isde

13 = 5 + w

subtract 8 from both sides to solve for w

w = 8

plug w=8 into one side of the original equation to solve for cost

13 + 3w = 5 + 4w = 37

The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)

To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)

where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).

Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:

\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)

Simplifying each term, we get:

\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)

Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).

Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.

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Note the complete question is

A percentage is a way to describe a part of a whole. Jim's Height is 47.37% of Jack's height.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Giraffe Jack is 19 feet tall, and Ostrich Jim is 9 feet tall.

A.) The percent of Jack's height is Jim's height,

Percentage = (Height of Jack/Height of Jim) × 100%

                   = 19/9 × 100%

                   = 211.11%

Hence, Jack's Height is 211.11% of Jim's height.

B.) The percent of Jim's height is Jack's height,

Percentage = (Height of Jim/Height of Jack) × 100%

                   = 9/19 × 100%

                   = 47.37%

Hence, Jim's Height is 47.37% of Jack's height.

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Answer:

211.11%

Step-by-step explanation:

The perimeter of the netball court is equal to 92 meters.

What does perimeter mean?

The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline.

A netball court is a rectangle,

it is given that length of the net ball court is equal to 31 meters.

The width of the netball court is equal to 15 meters.

Therefore the perimeter of the netball court is equal to the length of all sides of the rectangle.

Perimeter of netball court = 2(31+15)=92 meters.

Therefore perimeter of the netball court is equal to 92 meters.

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Answer: what unit is this?

Step-by-step explanation:yeah I’ll need the unit to solve this question

Answer:

the answer is A r + s have a nice day

Answer:

Graph B (bottom left)

Step-by-step explanation:

Let's eliminate answers by reading the prompt:

Jaelene drains some of the water from a pool at a constant rate.

These are two big clues. Since Jaelene drains water, she is losing water, and at a constant rate. Therefore, we can eliminate A and C because you would be gaining water in the pool and not draining.

She stops draining water to fix the hose and then fills the pool up with water again.

Also important clues. If you stop draining water, the water level does not change. Also, since the pool is filling up, that means we are gaining water. Therefore, we can eliminate option D because that would mean we're still draining water but we're not in this case.

Therefore, the only correct answer is graph B (bottom left)

\(\large\underline{\sf{Solution-}}\)

Given:

\( \sf \longmapsto x + \dfrac{1}{9x} = 1\)

Multiplying both sides by 3, we get:

\( \sf \longmapsto 3 \bigg(x + \dfrac{1}{9x} \bigg) = 3 \times 1\)

\( \sf \longmapsto 3x + \dfrac{1}{3x} = 3\)

Cubing on both sides, we get:

\( \sf \longmapsto \bigg(3x + \dfrac{1}{3x} \bigg)^{3} = {3}^{3} \)

\( \sf \longmapsto {(3x)}^{3} + \bigg(\dfrac{1}{3x} \bigg)^{3} + \bigg(3 \times {(3x)}^{2} \times \dfrac{1}{3x} \bigg) + \bigg(3 \times 3x\times \bigg( \dfrac{1}{3x} \bigg)^{2} \bigg) = {3}^{3} \)

\( \sf \longmapsto 27{x}^{3} + \dfrac{1}{27x^{3}} + 9x + \dfrac{1}{x} = {3}^{3} \)

\( \sf \longmapsto 27{x}^{3} + \dfrac{1}{27x^{3}} + 9 \bigg(x + \dfrac{1}{9x} \bigg) = 27\)

As we know that:

\( \sf ,\red\longmapsto x + \dfrac{1}{9x} = 1\)

We get:

\( \sf \longmapsto 27{x}^{3} + \dfrac{1}{27x^{3}} + 9 \times 1 = 27\)

\( \sf \longmapsto 27{x}^{3} + \dfrac{1}{27x^{3}} + 9 = 27\)

\( \sf \longmapsto 27{x}^{3} + \dfrac{1}{27x^{3}} = 18 \: Ans.\)

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.

What are permutation and combination?

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.

The number of outcomes is available in Boulder will be

→ 2 x 2

→ 4

The number of outcomes is available in Sarasota will be

→ 3 x 2

→ 6

The number of outcomes is available in Boulder and Sarasota will be

→ 4 + 6

→ 10

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Answer:

1/2 because half the cards are red and half the numbers are even

Answer:

2018 =2(2017)

Step-by-step explanation:

2018 = 2(πr²h)

Formulating an equation with a trigonometric ratio we have:

tan(17)=opposite/adjacent

tan(17)=x / 131 (Replacing the values)

tan(17)*131 = x (Multiplying on both sides by 131)

40.05 = x (Multiplying)

The answer is 40.05 ft.

Answer:

C 120º because a triangle always need to have 180º adding all the sides

Answer:

Step-by-step :

Your answer

Your answer

9.75

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a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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