This year consumers purchased 7,234,267,990 bottles of water. Last year consumers purchased 2,000,900,999 bottles of water. Which is the best estimate of the number of bottles sold this year and last year?

Check the picture below.

Answer: C

Step-by-step explanation:

Distributive property 2. combine like terms 3. subtraction proerty of equality 4 division of equality.

Therefore in this question the probability that he is innocent is 0.1743

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Here,

In this case, let G represent the state of guilt and H represent the state of innocence.

and Let K stand for the situation where the truth serum shows that someone is guilty.

We are aware that 90% of the guilty suspects receive just verdicts, i.e. P(K|G)=0.9.

Additionally, we know that innocent suspects are mistakenly identified 1% of the time, or P(K|H)=0.01.

When a suspect is chosen from a group of suspects, of whom 5% committed a crime, and the serum suggests that the suspect is guilty, we must determine the likelihood that the suspect is innocent.

We must therefore determine the probability P(H|K).

A group of people was chosen for the suspect, of which 5% were criminals.

so the probability that selected person is guilty is

P(G) = 0.05

Therefore, the probability that selected person is not guilty is

P(H) = 1 – P(G) = 1 – 0.05 = 0.95

Then,

Using Bayes' Theorem, we get

P(H|K) =[tex]\frac{P(H)P(K|H)}{P(H)P(K|H) + P(G)P(K|G)}[/tex]

=     [tex]\frac{0.95*0.01}{0.95*0.01 + 0.05*0.9}[/tex]  =0.1743

Therefore in this question the probability that he is innocent is 0.1743

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Answer:

i think 3

Step-by-step explanation:

Step-by-step explanation:

I think it's y=x² +6 because this is a quadratic equation

If you flip a coin 300 times, 150times would you expect it to land on

tails

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

There are three primary categories of algebraic expressions, including:

Numeral Expression.

Binary Expression

Expression of a polynomial.

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing. For instance, the mathematical equation for "4 added to 2" will be 2+4.

Given

flip a coin = 300

So the coin have 2 sides , one side is head and other side is tail

300/2

=150

So the 150 times the tail will come  while Flip  a coin.

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Answer:

( [tex]-\frac{1}{2}[/tex] , [tex]\frac{3}{2}[/tex] )  

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of midpoint are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~~~~~~~~

The figure is right triangle.

The circumcenter is the middle of the hypotenuse.

( - 2, 4 )

( 1 , - 1 )

( [tex]-\frac{1}{2}[/tex] , [tex]\frac{3}{2}[/tex] )

Answer: the first one(triangle ABC) is scalene, the second one(triangle TRI) is Isosceles, and the last one(triangle PQR) is

Isosceles

Step-by-step explanation: graph each joint is Desmos online calculator

Answer: 131072

Step-by-step explanation:

Basically the sequence is just being multiplied by 4, like 2(4)=8 and 8 is the next number in the sequence or 32(4)=128 which then again is the next number in the sequence.

Answer:

y=n-3^2 is linear

Step-by-step explanation:

A linear equation is an equation between two variables that give a straight line with plotted on a graph.

The two variables used are "n" and "3^2"

When graphed, it forms a diagonal, straight line.

The probability that exactly 5 small businesses will fail during a given month 0.0037268.

The Poisson distribution would be used to calculate the likelihood that different counts of the same event will occur within a constrained time period. It is viewed as a discrete distribution since it evaluates counts. The distribution displays identical mean and dispersion values.

The pmf of the Poisson distribution is

[tex]p(x)=\frac{e^{\lambda} \lambda^{x}}{x!}[/tex]

The mean total number of small business failures λ=14

Let x represent the number of failed small businesses in a given month.

X~P(14)

X follows the Poisson distribution since the likelihood of failure stays constant for two months and the mean number of failures per month is 14.

The likelihood that precisely four small firms would fail in a given month must be calculated.

P(X=5)

[tex]P(X=5)= \frac{e^{14} \ 14^{5}}{5!}[/tex]

P(X=5)= 0.44721/5!

P(X=5)=0.0037268.

In a month there is 0.0037 that is 3.7% probability that a small business fail.

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Two figures are similar when they have some common properties. The value of PQ as required is 28 units.

Similar triangles are two or more which have a series of common properties. This may be in relations to the length of their sides or measure of their angles.

In the given triangle PQR,

ΔPQS ll ΔSTR

Given that PS = RS, and QT = RT.

Then we can say that;

[tex]\frac{RS}{ST}[/tex] = [tex]\frac{PQ}{PQ}[/tex]

But, PR = 2RS;

[tex]\frac{RS}{ST}[/tex] = [tex]\frac{2RS}{PQ}[/tex]

[tex]\frac{1}{ST}[/tex] = [tex]\frac{2}{PQ}[/tex]

2ST = PQ

2(-22 + 9x) = 9x - 8

-44 + 18x = 9x - 8

18x - 9x = -8 + 44

9x = 36

x = 4

So that,

PQ = 9x - 8

     = 9(4) - 8

PQ = 36 - 8

     = 28

Thus, the length of PQ is 28 units.

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Answer:

Step-by-step explanation:

u got it right the first time it is D

a local winery bottles 14 different white wines. to help customers with their purchasing choice, the winery offers customers 5 white wine tasting samples free of charge 2002 many ways does a customer have to choose 5 different white wines to taste, using the concept of combination formula.

The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.

The combination formula is: n! / (n-r)! r! , where n is the total number of items (14 in this case) and r is the number of items being selected at once (5 in this case),

Plugging our numbers into the formula we get:

= 14! / (14-5)! 5!

= 2002

After simplifying, we get 2002.

So, there are 2002 ways of picking 5 different white wines to taste from a group of 14 local winery bottles.

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The side of each square in terms of y is y/16.

What is a perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Here, we have

The figure is made up of 10 identical squares. The perimeter is y cm.

The number of outer sides is 16

Let the side be x

then

16x = y

x = y/16

Hence,  the side of each square in terms of y is y/16.

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The time at which the lorry the time taken arrive at it destination is 12.20.

Given :

A lorry leave a factory on a journey of 195km at 08 45 , travelling at an average speed of 52 km/h.

here,

Distance = 195 km

Speed = 52 km/h

we know that ,

speed = distance / time

on cross muliplicating

speed * time = distance

time = distance / speed

substitute the values

time = 195 / 52

= 3.75 hours

destination time = 8.45 + 3.75

= 12.20

Therefore the time at which the lorry the time taken arrive at it destination is 12.20

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The chance that a student is selected at random from the class who passed the exam and finished the assignment is 0.2105

Probability refers to potential. The occurrence of a random event is the subject. Probability values are limited to the range of 0 to 1. Its fundamental notion is that something is probable to occur. It is the proportion of favorable events to all other events.

A exam and an assignment were due on the same day in a math class with 19 pupils.

There were 14 students that finished the assignment, and 11 of them completed the test.

3 pupils both failed the exam and didn't finish the assignment.

Then the probability that a student is chosen randomly from the class passed the test and completed the homework will be

The number of the student who has done at least one assignment or passed the test is 19 - 3 = 16

n(A) = passes student

n(B) = given assignment

Then we have

n(A ∩B) = n(A) + n(B) - n (A ∪B )

n(A ∩B) = 11 + 14 - 16

n(A ∩B) = 9

Then the probability will be

P = 9C2 /19C2

P = 36/171

P = 0.2105

The probability that a student chosen randomly from the class completed the homework is 0.2105

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Answer:

  (a)  w = 13

Step-by-step explanation:

You have a regular quadrilateral with interior angle measure (6w+13)°, and you want the value of w to the nearest integer.

A regular quadrilateral is a square. Its interior angles are 90°, so we have ...

  6w +13 = 90

  6w = 77

  w = 12.833...

  w ≈ 13

The value of w to the nearest whole number is 13.

Answer: 36 boxes

Step-by-step explanation:

4630 divided by 130 = 35.6 boxes

Then we ground up to 36 boxes

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1/10  fraction of the circumference of the circle .

What is arc?

An arc is any straight line that connects two locations. The term "arc length" refers to an arc's length. An ordered pair of adjacent vertices is referred to as a graph arc in a graph.

                        Any section of the circle's circumference (other than the entire curve) is referred to as an arc.

C = 2πr

C - circumference of a circle

r - radius of a circle

r =  4

Then

C = 2π • 4 = 8π

Writing the fraction:

(4π/5)/8π = 1/10

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A rectangle is constructed on a semicircle so that the length equals the diameter. The width of the rectangle is approximately 10.65 inches.

Generally, Let the width of the rectangle be x. Then the length of the rectangle is 3x.

The diameter of the semicircle is also the length of the rectangle, so it is 3x.

The area of the rectangle is x*(3x) = 3x^2. The area of the semicircle is (1/2)πr^2, where r is the radius of the semicircle. Since the diameter of the semicircle is 3x, the radius is (3x)/2. The area of the semicircle is (1/2)π((3x)/2)^2 = (9/8)πx^2.

The total area of the figure is the sum of the area of the rectangle and the area of the semicircle. We can set up the equation:

3x^2 + (9/8)πx^2 = 750

(21/8)πx^2 = 750

x^2 = 750/(21/8)*π

x = √(750/(21/8)*π)

To find the approximate dimensions of the rectangle, we can use the fact that pi is approximately 3.14. This gives us:

x = √(750/(21/8)*3.14)

= √(750/6.71)

= √(112.64)

= approximately 10.65 inches.

The width of the rectangle is approximately 10.65 inches. The length of the rectangle is 3 times the width, so it is approximately 31.95 inches.

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Answer:

Yeah, they are not equal.

Step-by-step explanation:

Given statement,

→ -3 to the second power is not equal to (-3) to the second power.

Forming the equation,

→ -3² ≠ (-3)²

Let's check the equation,

→ -3² = (-3)²

→ -(3)² = (-3)²

→ -9 ≠ 9

→ LHS ≠ RHS

Hence, they are not equal.

If Alan had ran 1 10/11 kilometer and walked the ret so his remaining distance from school is 6 5/11 kilometer.

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Learn how to apply the Pythagorean theorem to find the distance between two points using the distance formula. The Pythagorean theorem can be rewritten as d=√((x_2-x_1)²+(y_2-y_1)²) to calculate the separation between any two locations.

As the total travel of alan from his school is

=8 2/3 kilometer

according to given condition;

he has traveled;

=1 10/11 kilometer

so his remaining travel from his school is;

=8 2/3 kilometer-1 10/11 kilometer

= 6 5/11 kilometer

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Answer:

9/10 =0.9

Step-by-step explanation:

We have been given to calculate 1 1/2 times 3/5 . First of all ,we shall convert 1 1/2 ( a mixed fraction form) to a proper fraction form .

1 1/2 is actually 1 + 1/2 =3/2

1 1/2 X 3/5  =3/2 X 3/5 =9/10

9/10  is actually 0.9

Therefore we have finally converted this into division sentence too

A straight line = 180°. You have: 58° , 40°, and q so:

q = 180° - (58° + 40°)

q = 82°

Answer:

82

Step-by-step explanation:

180 i s the line length so

180-40=140

140-58=82

5 scoops of powder are combined with 8 glasses of water by Noah.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

Hence, 5 scoops of powder are combined with 8 glasses of water by Noah.

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Using mathematical operations, we can conclude that the length of LK is 1.25 units in triangle JKL.

A mathematical "operation" is indeed the method by which a value utilizes operands and a math operator.

The supplied operands or numbers must conform to a set of predefined rules that are connected to the symbol of the math operator.

Parentheses, Exponents, Arithmetic, Division, and Addition Simple arithmetic is also known as PEMDAS (from left to right).

So, we know that the given triangles are similar:

Then, the length of line LK will be:

JK/ST = LK/UT

Solve this as follows:

JK/ST = LK/UT

2.5/10 = LK/5

10LK = 2.5(5)

10LK = 12.5

LK = 12.5/10

LK = 1.25

Therefore, using mathematical operations, we can conclude that the length of LK is 1.25 units in triangle JKL.

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The value of AD in one decimal place for the given triangle is 9.8 cm.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given by triangle ΔADE

By Pythagoras' theorem,

(AD)² = (AE)² + (ED)²

(AD)² = 4² + 9²

(AD)² = 97

AD = 9.8

Hence "The value of AD in one decimal place for the given triangle is 9.8 cm".

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The missing image is attached below,

Answer:

no

Step-by-step explanation:

The three angles of a triangle are 180, but the sum of the three angles in the figure is 200.so its impossible .