What is the third number in this sequence?

The probability that they both get a red apple is, 15/28

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The probability of Ed's friend grabbing a red apple is,

= 6 red apples / (2 green apples + 6 red apples)

= 6/8

= 3/4.

Then, the probability of Ed grabbing a red apple from the remaining apples is,

= 5 red apples / (2 green apples + 5 red apples)

= 5/7.

So, the probability that both Ed and his friend get a red apple is,

= 3/4 x 5/7

= 15/28

Hence, the probability is 15/28

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Answer:

base times height divide by two

26 times 17=442/2=221

the answer is 221

Step-by-step explanation:

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer

Missing term in the sequence = 36

Explanation

Looking at the sequence, we can see that it is a geometric progression.

And the general form for the nth term of an geometric progression is

aₙ = a (rⁿ⁻¹)

where

aₙ = nth term = 3rd term

a = first term = 4

n = number of terms = 3

r = common ratio = ratio of consecitive terms = (second term)/(first term) = (fifth term)/(fourth term) = (12/4) = (324/108) = 3

For the third term now,

aₙ = a (rⁿ⁻¹)

a₃ = 4 (3³⁻¹)

a₃ = 4 (3²)

a₃ = 4 (9)

a₃ = 36

Hope this Helps!!!

Answer:

a=90-67=23°

.................

To get the Prime factorization of 3000 we need to multiply by 5.

When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.

For example, the Prime factorization of 45 is given below

=> 45/5 = 9, 9/3 = 3,  3/3 = 1

=> 45 = 5 × 3 × 3

Here we have

The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5

Let us assume that on multiplying with p,

we will get the factorization of 3000

=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000

=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)  

Her 2 x 2 × 2 × 3 × 5 × 5 = 600

=> p = \(\frac{3000}{600}\)

=> p = 5  

Therefore,

To get the Prime factorization of 3000 we need to multiply by 5.

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Note that Option A is pairwise and is relatively prime.

If every pair of elements in a list of integers is relatively prime, the list is pairwise relatively prime. For example, the numbers 121, 122, and 123 are relatively prime pairwise (even though they are each composite).

You can tell if a set of numbers are relatively prime if they do not share a common factor other than ±

Looking at set a:
11, 15, 19

Writing their prime factorization

11 = 11

15 = 3 x 5

19 = 19, hence since any pair of these numbers does not have any common factor, hence they are relatively prime.

Looking at set b:

14, 15, 21
Writing their prime factorization, we have:

14 = 7 x 2
15 = 3 x5

21 = 3 x 7

15, and 21 share a common factor of 3 while

14 and 21 share a common factor of 7, therefore, they are NOT relatively prime.

Looking at set c)
12, 17, 31, 37
Writing their prime factorization,
12 = 3 x 2²
17 = 17

31 = 31

37 = 37

In this case, no pair of these numbers have any common factor. Hence they are relatively prime.

Looking at set d)

7,8,9, 11, spelling out their prime factorization

7=7

8=2³
9=3²
11=11

Thus, any pair of these numbers do not have a common factor, hence they are relatively prime.

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The two decimals are 0.75 and 0.5.

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The algebraic expression of the statement a number r is multiplied by 8 decreased by 12 is 8r-12

The algebraic expression is an expression that consist of variable and numbers with the arithmetic operation. The arithmetic operation might be addition, subtraction, division, multiplication etc..

The statement is " A number r is multiplied by 8 decreased by 12"

The number is r

The number r is multiplied by 8 = r × 8
= 8r

The number r is multiplied by 8 decreased by 12

= 8r-12

Hence, the algebraic expression of the statement a number r is multiplied by 8 decreased by 12 is 8r-12

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The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer:

No graph was put in, but heres a helpful answer.

Step-by-step explanation:

There is no graph, but

Y=-1(2x-2)+1

y=-2x+2+1

y=-2x+3

The required graph has been attached below that represents the equation of the parabola y = – (x – 1)² + 1.

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c.

The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

The equation of the parabola is given in the question, as follows:

y = – (x – 1)² + 1

As we know that parabola is, an open curve is a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Here, (1,1) is most likely to be the relative maximum for this graph.

The required graph has been attached below that represents the equation y = – (x – 1)² + 1.

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Answer:

Step-by-step explanation:

Answer:

= 12 x^8

Step-by-step explanation:

the central angle of the arc is π/3 radians.

What is circumference of a circle?

Circumference or perimeter of a circle refers to the measuring of its limits. Contrarily, a circle's radius influences the amount of space it takes up. If a circle is opened up and represented by a straight line, its circumference is equal to its length. It is usually measured in units like centimetres or metres. While utilising the formula, the radius of the circle is taken into account when calculating the circle's circumference. Therefore, we need to know the radius or diameter value to determine the circle's perimeter.

Central angle (in radians) = arc length / radius

In this case, we are not given the radius of the circle directly, but we know that the circumference of the circle is 6. We can use the formula for circumference to find the radius:

Circumference = 2 * pi * radius

6 = 2 * pi * radius

radius = 3 / pi

Now we can use the formula for the central angle:

Central angle (in radians) = arc length / radius

Central angle = 1 / (3/pi) = pi/3

Therefore, the central angle of the arc is π/3 radians.

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Answer:

A

Step-by-step explanation:

Please see attached work. It’s been color coded for clarity.

Mark Brainliest please. These answers require a lot of effort.

Answer:

=a

Step-by-step explanation:

i think it must be help you

Answer:

(0,-2)

Step-by-step explanation:

Plug in each value for the equation

-3(0) - (-2) = 2

0 - (-2) = 2

2=2

Answer and Step-by-step explanation:

Suppose x = 0.2355555... .

Multiply x by 100 and 1000:

100x = 23.5555....

1000x = 235.5555....

Let's subtract the first equation from the second:

1000x - 100x = 235.5555.... - 23.555.....

Because the decimal part for each goes on forever, we can simply cancel them out in our subtraction statement:

900x = 235 - 23 = 212

Divide both sides by 900:

x = 212/900 = 53/225

Thus, since x = 0.235555..., we know that:

0.23555.... = 53/225

Since p = 53 and q = 225 are integers, we have proven that this repeating decimal can be written as a fraction.

~ an aesthetics lover

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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Answer:

8

Step-by-step explanation:

replace x with 4 and y with 2 in the equation

3x - 7y + 10

3(4) - 7(2) + 10

multiply

12 - 14 +10

add

-2 + 10 = 8

Answer:

8

Step-by-step explanation:

you need to multiply 3 and 4

then subtract 7 and 4 and add 10

If a bicycle has a listed price of $522.95  before tax and the sales tax is 7.75%, then the total cost of the bicycle with sales tax included is $563.47

The listed price of bicycle = $522.95

The sales tax percentage = 7.75%

We know

C = p(t×p)

Where C is the total cost

p is the listed price

t is the sales tax percentage

Substitute the values in the equation

C = 522.95+((7.75/100)×522.95)
= 522.95+40.53

= $563.47

Hence, if a bicycle has a listed price of $522.95  before tax and the sales tax is 7.75%, then the total cost of the bicycle with sales tax included is $563.47

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Answer:

the answer id d.

Step-by-step explanation:

Answer:

the first car has 25 gallons of gases while the second car has 35 gallons of gases

Answer:

False

Step-by-step explanation:

& is greater that 7 because you are going back to the nmber like in the negatives

Answer:

\((a)\ \cos(180 - x)\) --- Never true

\((b)\ \cos(90 -x)\) --- Always true

\((c)\ \cos(x)\) ---- Sometimes true

\((d)\ \cos(2x)\) ---- Sometimes true

Step-by-step explanation:

Given

\(\sin(x )\)

Required

Determine if the following expression is always, sometimes of never true

\((a)\ \cos(180 - x)\)

Expand using cosine rule

\(\cos(180 - x) = \cos(180)\cos(x) + \sin(180)\sin(x)\)

\(\cos(180) = -1\ \ \sin(180) =0\)

So, we have:

\(\cos(180 - x) = -1*\cos(x) + 0*\sin(x)\)

\(\cos(180 - x) = -\cos(x) + 0\)

\(\cos(180 - x) = -\cos(x)\)

\(-\cos(x) \ne \sin(x)\)

Hence: (a) is never true

\((b)\ \cos(90 -x)\)

Expand using cosine rule

\(\cos(90 -x) = \cos(90)\cos(x) + \sin(90)\sin(x)\)

\(\cos(90) = 0\ \ \sin(90) =1\)

So, we have:

\(\cos(90 -x) = 0*\cos(x) + 1*\sin(x)\)

\(\cos(90 -x) = 0+ \sin(x)\)

\(\cos(90 -x) = \sin(x)\)

Hence: (b) is always true

\((c)\ \cos(x)\)

If

\(\sin(x) = \cos(x)\)

Then:

\(x + x = 90\)

\(2x = 90\)

Divide both sides by 2

\(x = 45\)

(c) is only true for \(x = 45\)

Hence: (c) is sometimes true

\((d)\ \cos(2x)\)

If

\(\sin(x) = \cos(2x)\)

Then:

\(x + 2x = 90\)

\(3x = 90\)

Divide both sides by 2

\(x = 30\)

(d) is only true for \(x = 30\)

Hence: (d) is sometimes true

Answer: x < -18

Step-by-step explanation:

Simply multiply both sides by three to get x < -18

Step-by-step explanation:

x/3 < - 6

x < - 18

This should be the answer