Suppose that 10% of people own dogs. If you pick two people at random what is the probability that they both own a dog?

Answer:

[D] 1/14

Step-by-step explanation:

Question to answer:

What is the probability of picking an orange marble and flipping tails?

Solve:

let see how many orange marbles are there:

As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.

Now let see how many side a coin have:

As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.Now multiply straight across:

1/2 × 1/7

→ 1 × 1 = 1

→ 2 × 7 = 14

Thus, the result is 1/14

Hence, the answer is [D] 1/14

~lenvy~

Answer:

\(\sf D)\quad\dfrac{1}{14}\)

Step-by-step explanation:

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

\(\implies \sf P(\textsf{orange marble})=\dfrac{1}{7}\)

\(\implies \sf P(\textsf{tails})=\dfrac{1}{2}\)

\(\implies \sf P(\textsf{orange marble})\:AND\:P(\textsf{tails})=\dfrac{1}{7} \times \dfrac{1}{2}=\dfrac{1}{14}\)

Answer:

(m+3) (m+5)

Step-by-step explanation:

Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

Answer:

Step-by-step explanation:

Liam saved $8 each week for 6 weeks.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's represent the amount of money Liam saves each week as x.

According to the problem, Liam saves an equal amount of money each week for 6 weeks, so the total amount he saves is 6x.

If we add this to the amount he started with, we get the total amount he has now: 6x + 62.

We also know that he now has $110, so we can set up an equation:

6x + 62 = 110

Subtracting 62 from both sides gives:

6x = 48

Dividing both sides by 6 gives:

x = 8

Therefore,

Liam saved $8 each week for 6 weeks.

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Answer:

Step-by-step explanation:

Each person buys a number of cakes

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Andy buys x cakes, Betty buys 4 times as many cakes as andy, and colin buys 3 more cakes than andy

So,

Andy has = x Cakes

Betty have = 4x Cakes

Clin has = x +3 Cakes

Since each cake costs 65p and the total cost of the cakes is £52.65

thus,

0.65( x + 4x + x +3) = 52.62

x + 4x + x +3 = 81

6x = 78

x = 13

Therefore,

Andy has = 13 cakes

Betty has = 4x = 4*13 = 52 cakes

Colin has = x + 3 = 16 cakes

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Answer:

$400

Step-by-step explanation:

Hope the picture will help you........

Answer:

Congruent

Step-by-step explanation:

Answer:

To an equal degree or extent; in an equal amount or portion. We've worked in equal measure with law enforcement and mental health professionals to tackle the issue. Equivalent, identical, uniform, interchangeable, symmetrical.

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.

To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).

Given data ,

Let the polar curve be represented as A

Now , the polar coordinates is given as

r = -4 sin ( 3θ )

And , To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

So , on simplifying , we get

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Hence , the polar curve is r = -4 sin ( 3θ )

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Answer:

D

Step-by-step explanation:

Answer:

1. True

2. false.

3. true

4. false

5. true

Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

Answer:

x1=-6, x2=-2

Step-by-step explanation:

Answer:

this is the answer hope it helps

Answer:

20 + 35x

Step-by-step explanation:

We have the expression 5(4 + 7x) and are asked to distrbute it.

When distributing, it's very simple, all you have to do is multiply the number outside the parenthesis with the numbers inside the parenthesis.

Therefore :

(5(4) + 5(7x))

20 + 35x

After substituting x = -1/2 in f(x), the value of the function f(-1/2) is found to be 5.333.

A function from a set X to a set Y assigns exactly one element of Y to each element of X.

The set X is known as the function's domain, and the set Y is known as the function's codomain.

The given function is f(x) = -2/3x +5.

To obtain f(-1/2), we must substitute the value of x with -(1/2).

f(x) = -2/3x +5

f(-1/2) = -2/3×(-1/2) + 5

f(-1/2) = (2/6) + 5

f(-1/2) = 0.333 + 5

∴ f(-1/2) = 5.3333

Therefore, the value of the function f(-1/2) obtained after substituting        x = -1/2 is 5.333.

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Answer:

12i

Step-by-step explanation:

sqrt(-1) = i, sqrt(144) = 12

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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The measure of angle a is 70 degrees

The angle in a semicircle is a right angle.

This means that:

a + d = 90

Where O is the center of the circle

From the figure, we have:

Angle d and the angle with a measure of 20 degrees are corresponding angles

This means that

d = 20

Substitute d = 20 in a + d = 90

a + 20 = 90

Subtract 20 from both sides of the equation

a = 70

Hence, the measure of angle a is 70 degrees

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Answer:

229

229

229

it's two hundred and nine

Answer:

your answer is 229

Step-by-step explanation:

200 plus 20 is 220 and 8 plus 1 is 9 so u add it all together and its 229

Answer:

???

Step-by-step explanation:

Answer: The numbers are: 16, 11 and 48

Step-by-step explanation:

Let 1st number is a, second number is b and third number is c

1st number is 5 more than the second so a=b+5

The third number is 2 times the first so c=3*a=3*(b+5)

The sum of three numbers, so a+b+c=b+5+b+3*(b+5)=75

b+5+b+3+3b+15=75

5b+20=75

5b=55

b=11

a=b+5=11+5=16

c=3*(b+5)=3*(11+5)=3*16=48

The numbers are: 16, 11 and 48

The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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Answer:

8

Step-by-step explanation:

each corner of the cube is a vertex

Answer:

133 square centimeters

Step-by-step explanation:

Answer:

Surface A≈146.25 square centimeters

Step-by-step explanation:

Answer:

0.37

Step-by-step explanation:

To resolve the given problem we will apply

persistent time Markov chain :   n = 0, 1, . . . , 4

 n = number of individuals pausing

where The equalization conditions are : πn = ( πn - 1/2 )

Given that  :

n = 0,1,2,3,4

π0 = 1/( 1 + 2−1 + 2−2 + 2−3 + 2−4) = 0.52 = 16/31

Also the normal number of travelers found by Ella will be represented as

E(N) = (π1 + 2π2 + 3π3) / ( π0 + π1 + π2 + π3) ------- ( 1 )

where : π1 = 8,  π2 = 4,  π3 = 2 , π0 = 16/31  input values into equation 1

E ( N ) =  22/30

given that the True to form hanging tight time = 0.5

hence Holding holding time = E(N ) * 0.5

therefore  the expected waiting time for Ella = ( 22/30 ) * 0.5 = 0.37

Answer:

\(|u\times v|_{min}=0\)

\(|u\times v|_{max}=72\)

Step-by-step explanation:

We are given that

v=8 j

|u|=9

Let u=ai+bj

We have to find the maximum and minimum values of the length of the vector

u × v.

\(u\times v=\begin{vmatrix}i&j&k\\a&b&0\\0&8&0\end{vmatrix}=8ak\)

\(|u\times v|=\sqrt{(8a)^2}=\sqrt{64a^2}\)

\(|u|=\sqrt{a^2+b^2}=9\)

\(a^2+b^2=81\)

The minimum value of \(a^2\)=0

Then, \(|u\times v|_{min}=0\)

Maximum value of  \(a^2\)=81

\(|u\times v|_{max}=\sqrt{64(81)}=72\)

The area of rectangular foundation is 320 feet²

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Imagine that your square is made up of smaller unit squares.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Given,

area = length * width

= 32ft * 10ft

=320 feet²

Therefore the area of rectangular foundation is 320 feet²

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