There is a bag with only red marbles
and blue marbles.
The probability of randomly choosing
a blue marble is
7/9
There are 63 marbles in total in the
bag and each is equally likely to be
chosen.
Work out how many red marbles there
must be.

Answer:

Step-by-step explanation:

The given expression describes the GP with

The first term:

The common ratio:

It is required to find the sum of the terms from 2 (the bottom number of sigma) through 29 (the top number of sigma)

The number of terms is

The sum of the first 28 terms is

Answer:

114,126 (nearest whole number)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common ratio)

Given:

[tex]\displaystyle \sum^{29}_{n=2}80(1.23)^{n-2}[/tex]

The sigma notation means to find the sum of the given geometric series where the first term is when n = 2 and the last term is when n = 29.

First term (a)

Determine the first term by substituting n = 2 into the given expression:

[tex]n=2 \implies 80(1.23)^{2-2}=80[/tex]

Common ratio (r)

From inspection, the common ratio is 1.23.

nth term

As the first term is when n = 2 and the last term is when n = 29, there is a total of 28 terms.

Therefore:

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Substituting the given values into the formula:

[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}=114125.7556[/tex]

Therefore, the sum of the given geometric series is 114,126 (nearest whole number)

Hope this is not confusing.

Answer:

38

Step-by-step explanation:

2(2) = 4

4(5) = 20

20(6) = 120

120/3 = 40

40 - 3 = 37

37 + 1 = 38

Answer:

11

Step-by-step explanation:

I used a bunch of formulas that would clog this page, so I can't put them down.  Sorry if it's wrong

The area of the base of the triangular prism is 48 square meters. Then the correct option is B.

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A triangular prism has a height of 6 meters and a triangular base with the following dimensions.

The figure is shown below.

Then the area of the base of the triangular prism will be

[tex]\rm Area = \dfrac{1}{2} \times 16 \times 6\\\\Area = 48[/tex]

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Answer:

  D.  plain quadrilateral

Step-by-step explanation:

This is a vocabulary question.

__

A parallelogram is a quadrilateral (4-sided plane figure) with both pairs of opposite sides parallel. A rhombus is a special case of a parallelogram in which the sides have equal lengths.

A trapezoid is quadrilateral with exactly one pair of parallel sides. An isosceles trapezoid is one that has equal-length non-parallel sides.

__

The given figure has no parallel sides, so is none of the above. It is a ...

  plain quadrilateral

Answer: n=-3 and n=3/2

Step-by-step explanation:

To solve the expression, we want to find the values of n. Since there are no common factors in 2, 3, -9, we directly multiply the "a" and "c" values.

2×(-9)=-18

This means, we want to find two numbers that multiply to -18 and adds to 3. This can also be known as the cross method.

We will find that 6 and -3 multiply to -18, and adds to 3.

In our box method, we want to find the common factors.

|2n²|6n|

|-3n|-9|

Note: Just pretend the lines line up and form a square box, with a term in each box.

After finding that is in common between the boxes, we get (n+3)(2n-3)=0

To solve, we set each factor equal to 0.

n+3=0

n=-3

2n-3=0

2n=3

n=3/2

The range is found by subtracting the smallest data value from the largest data value. Here, the smallest data value is 2.5 and the largest is 9.3. Therefore, the range is:

[tex]9.3 - 2.5 = 6.8[/tex]

Therefore, the answer is Option A.

Just for extra.

1. The steps that follow are also needed for finding the standard deviation. Start by writing the computational formula for the variance of a sample:

[tex]{s^2}= \frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n-1}[/tex]

2. Create a table of 2 columns and 14 rows. There will be a header row and a row for each data value. The header row should be labeled with x and x^2. Enter the data values in the x column, with each data value in its own row. In the second column, put the square of each of the data values, x^2.

x     y

8.2 67.24

3.1 9.61

5.9 34.81

2.5 6.25

6.2 38.44

5.1 26.01

7.6 57.76

9.3 86.49

8.1 65.61

7.4 54.76

7.8 60.84

6.5 42.25

8.7 75.69

3. Find the sum of all the values in the first column, [tex]{\sum}{x}[/tex].

[tex]\sum{x} = 86.4[/tex]

4. Square the answer from step 3, then divide that number by the size of the sample.

[tex]\frac{({\sum}{x})^2}{n} = \frac{7464.96}{13} = 574.22769230769[/tex]

5. Find the sum of all the values in the second column, [tex]{\sum}{x^2}[/tex].

[tex]{\sum}{x^2} = 625.76[/tex]

6. Subtract the answer in step 4 from the answer in step 5.

[tex]{\sum}{x^2} - \frac{({\sum}{x})^2}{n} = 625.76 - 574.22769230769 = 51.532307692308[/tex]

7. Divide the answer in step 6 by n - 1, one less than the size of the sample. This answer is the variance of the sample.

[tex]{s^2}= \frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n-1} = \frac{ 51.532307692308 }{12} = 4.294358974359[/tex]

To find the standard deviation, first write the computational formula for the standard deviation of the sample.

[tex]{s}= \sqrt{\frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n - 1}}[/tex]

Take the square root of the answer found in step 7 above. This number is the standard deviation of the sample. It is symbolized by [tex]s[/tex]. Here, we round the standard deviation to at most 4 decimal places.

[tex]{s} = \sqrt{4023.0714285714} = 63.4277[/tex]

In this picture dots are clearly shown the frequency of the concert.

Here, in given data about the six concerts

Concerts              Frequency

    0                              2

    1                               2

    2                              1

    3                              1

Thus, on number line we mark 2 dots on zero, 2 dots on one, 1 dot on two and 1 dot on 3.

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Answer:

i had done this before so thats your answer, pls follow

The diameter of the DVD is 12 units.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. It is the overall area that the object's surface occupies.

As per the given data:

The area of the DVD is equal to 36π cm².

We have to find out the diameter of the DVD.

As we know that a DVD is having a circular shape:

Area for a circle is given by πr², where r is the radius of the circle.

From the given data in the question:

πr² = 36π

r² = 36

r = √36

r = 6 units

The diameter of a circle is double the radius of the circle.

Diameter = 2r = 2 × 6 = 12 units

The diameter of the DVD is 12 units.

Hence, the diameter of the DVD is 12 units.

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Answer:

Find x

The angles are corresponding.

We have

x+35°+90°=180 (angles in a triangle)

x= 55°

Please give Brainliest

Answer:

x = 20 degrees

Step-by-step explanation:

I cannot give a thorough explanation but I will show my workings and reasoning.

Reasoning:

Vertically opposite angles are equal

Angles in a triangle add up to 180 degrees

Workings:

35 multiplied by 2 is 70

70 add 90 is 160

180 minus 160 is 20

x = 20

Answer:

19

Step-by-step explanation:

The proportional equation that represents the relationship in the table is given as follows:

d = km

In which k is the number of miles he drives per minute(the ratio of the values in the table).

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the constant of proportionality is the number of miles he travels in a minute, which is the ratio of the distances in the table. Hence the equation is given by:

d = km.

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Answer:

Step-by-step explanation:

Answer:

X=10

Step-by-step explanation:

1. 1/3 (2x-8)=4

2. 2x/3 - 8/3 = 4

3. 2x/3 = 4+2 2/3

2x/3 = 6 2/3

2x/3 = 20/3(Criss cross method)

6x = 60

x=10

brainly pls!

Answer:

3

Step-by-step explanation:

3÷3=1

cant be divided by 9 and get a whole number

3÷9=.33333

Answer:

$7.60

Step-by-step explanation:

If you multiply 19.0 by 4 then you get $7.60

Samantha and Mia are 13 km apart from each other.

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

As Mia walked 7km/h and she is 7 km north of Julia's house.

and, Samantha walked 11km/h and she is 11 km west of Julia's house.

The points where Mia and Samantha are after 1 hour as shown in figure, and Julia's house forms a right angled triangle.

the distance between the girls is shown by, hypotenuse of triangle

Using Pythagoras theorem,

[tex]H^{2} =P^{2} +B^{2}[/tex]

[tex]H^{2} =7^{2} +11^{2}[/tex]

[tex]H^{2} =49+121\\[/tex]

H= [tex]\sqrt{170}[/tex]

H= 13.038

H= 13 Km

They are 13 km apart from each other.

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Answer:

13.0 km

Step-by-step explanation:

Answer:

1% and 49%

Step-by-step explanation:

0% is impossible

1%-49% is unlikely

50% is as likely as not

51%-99% is likely

100% is certain

hope this helps!

Answer:

26π cm

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

   = π × 26

   = 26π cm

▶︎◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◇◆◀︎

[tex]Hello[/tex] [tex]There![/tex]

 We are looking for the circumference of the circle.

It's not hard, I promise! I will take you through a few steps, and we'll find the answer.

Are you ready? Then let's begin...:)

[tex]Procedure:[/tex]

First, we need a formula for the circumference. We can't find the circumference without a formula!

· Luckily, there is a formula for the circumference:

⇒ [tex]C=\pi d}[/tex]

Whoa. What's that?!

No worries, I'll clarify everything in a moment. :)

We are looking for the circumference.

In this formula, what stands for the circumference?

That's right, [tex]C[/tex].

Now, what is this: [tex]\pi[/tex]?

This letter stands for pi - a constant in maths that comes in handy when we're searching for the circumference of a circle (or area).

It has an infinite number of digits after the decimal point, and these digits never repeat!

You might be thinking, "Oh no! Are we really going to use that infinite number?!"

The answer is "No". Mostly, we use 3.14 for [tex]\pi[/tex], because these are the first three digits of pi, but since we aren't asked to use 3.14 for pi, we just press the [tex]\boxed{\pi }[/tex] button on our calculator.

Whew!

And then last but not least, we see "d". This isn't a constant, this is the diameter.

Checking our provided information, we see that the diameter is 26 cm.

Now, we substitute 26 for d:

[tex]\bold{C=\pi (26)}[/tex]

[tex]\bold{C=\pi *26}[/tex]

And now all we have to do is type these numbers into our calculator, and find the answer:

[tex]\bold{C\approx81.7\:cm}[/tex]

Hooray! We've found the circumference!

But wait - why isn't 81.7 an option?

Because what we need to do is write it in terms of pi, which is even easier, because we just substitute 26 for d:

[tex]\bold{C=\pi *26}[/tex]  

➢ Rearrange the order of the terms:

[tex]\bold{C=26\pi \:cm}[/tex]

▲ Circumference

Now there's another thing - why are all four options with units squared?

Circumference isn't measured in units squared, the area is!

▶︎ Incase you need the area, here it is:

[tex]\bold{A=\pi r^{2}}[/tex]

A=Area (what we're looking for)

[tex]\pi[/tex] = pi

Here we have a new variable - it's r, which is the radius.

Do you see that [tex]^2[/tex] next to r? It means that r is squared, or multiplied by itself.

You might be thinking, "But we don't have the radius!"

If we have the diameter, finding the radius is a piece of cake, because we divide the diameter by 2:

[tex]\bold{26\div2}[/tex]

[tex]\bold{13}[/tex]

Now we substitute 13 for r and evaluate:

⇒ [tex]\bold{A=\pi (13)^{2}}[/tex]

13 times itself is 169:

⇒ [tex]\bold{A=169\pi \:cm^{2}}[/tex]

Whew! We're finally done!

[tex]Greetings![/tex]

--

Answer:

A.  g(x) = -x^2 - 3.

Step-by-step explanation:

If we reflect f(x) over the x -axis we get -f(x) which is the mirror image of f(x)

To get g(x) we then translate the image 3 units down,

g(x) = -x^2 - 3.

The student with the most accurate description of the graph that represents Kate's movement is Tim

From the graph that represents Kate's distance per minute, we have the following highlights:

The student's description that matches the above highlights is Tim

Hence, the student with the most accurate description is Tim

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Based on the scenario above, the student that most accurately described Kate's motion is Tim.

Motion is defined in physics, as the way that an object alters its position over time.

Note that in the scenario above, Tim said that Kate drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes and thus he is correct about Kate's motion.

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Answer:

A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]

Step-by-step explanation:

E = v + Ir

E - v = Ir (subtract by v on both sides)

(E-v)/I = r (divide by I on both sides)

[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]

Answer:

No

Step-by-step explanation:

If you look at the graphs of the two expressions when x > 8

 you will see that 2^x is greater

Yes that's true

because

As we can observe the table

The values of 5x²

The values of 2^x

Clearly Tyler is correct

But

This is just according to table

After some while 2^x will shift gears to go ahead of 5x² side

Example

Answer:

(2) B

Step-by-step explanation:

According to the graph

p(2, 3) so (-b, a) is (-3, 2)

So B is right

Answer:

[tex]B = ( - b,\: a)[/tex]

Step-by-step explanation:

Since P has the coordinates (a, b), then (a,b) would be (2, 3). Therefore:

[tex]a = 2\: and \: b = 3[/tex]

We are trying to find what point has the coordinates (-b, a). Recall:

[tex]a = 2 \: \: \: \: \: \: \: \: b = 3 \\ ( - b, \: a) = \\ ( - 3, \: 2)[/tex]

The point that is at (-3, 2) is point B.

Answer:

B

Explanation:

There are 19 rectangles and 8 circles

19

+8

27 so it would be 27/47

The radius of the circle is 5.30 cm.

A radius is a line that extends from the center of a circle to any point of the circumference.

To calculate the length of the radius of the circle, we use the formula below.

Formula:

Make r the subject of the equation

Where:

From the question,

Given:

Substitute these values into equation 2

Hence, the radius of the circle is 5.30 cm.

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Answer:

An average test score is the sum of all the scores on an assessment divided by the number of test-takers.

Step-by-step explanation:

I forget