Five girls and two boys are standing in a line randomly. What is the probability that two boys are next to each other?

Answer:

100

Step-by-step explanation:

Here is your answer

Let the number of wizards is x

20% more gobins than wizards.

ATQ

Hence Numbers of wizards are 100 in a magic club.

Answer:

480

Step-by-step explanation:

120 ------ \(\frac{20}{100}\)

x ----------\(\frac{100}{100}\)  

x·\(\frac{20}{100} = 120\frac{100}{100}\)

x= \(\frac{120}{0,2}\)

x=600

600- 120= 480 wizards in the club

Answer:

Indian Standard Form= 23,65,06,043

Word Form: Twenty three crores sixty five lakhs six thousand forty three.

expanded form= 20,00,00,000+3,00,00,000+60,00,000+5,00,000+6,000+40+3

International Standard Form=236,506,043

Word Form: Two hundred thirty six millions five hundred six thousand forty three

expanded form:200,000,000+30,000,000+6,000,000+500,000+6,000+40+3

Step-by-step explanation:

Hope it helps

Answer:

Step-by-step explanation:

its c

Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

Answer:

0.125

Step-by-step explanation:

beacuse you would turn the mixed number into a improper fraction and then subtract or turn them into decimals which would be 0.125

Answer:

1/8 is the answer  

Decimal Form:

0.125

Step-by-step explanation: Convert the mixed numbers to improper fractions, then find the LCD and combine.

The area of a rectangle is

x is the number missing in the box

the length of the field is 30+4 =34 feet

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

tangent

Step-by-step explanation:

Hope this helps

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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The scale factor of figure B to figure A is 1/2.

To find the scale factor of figure B to figure A, we need to determine how much the corresponding sides of the two figures have been multiplied or divided by.

Looking at the figures, we can see that the corresponding sides of figure B are half the length of the corresponding sides of figure A. For example, the length of side AB in figure A is twice the length of side AB' in figure B, and the length of side BC in figure A is twice the length of side B'C' in figure B.

Since the corresponding sides of figure B are half the length of the corresponding sides of figure A, the scale factor of figure B to figure A is 1:2 or 1/2.

Therefore, the scale factor of figure B to figure A is 1/2.

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Answer:\(34\pi\)

Step-by-step explanation:

c=\(2\pi R=2*17\pi =34\pi\)

Answer:

43.98 meters

Step-by-step explanation:

Step-by-step explanation:

False,

Vertical angles isn't always complementary l

Answer:

true

Step-by-step explanation:

If two angles are congruent, their measures are equal.

Answer:

10% sales tax

Step-by-step explanation:

Given the following question:

Percent increase from 45.75 to 50.33

To find the answer we use the formula to calculate percent change.

\(\frac{n-o}{o} \times100\)
\(\frac{50.33-45.75}{45.75} \times100=50.33-45.75=4.58\div45.75=0.10010929\times100=10.010929\)
\(10.010929\)
\(0<5\)
10%

The tax of the phone was "10% sales tax."

Hope this helps.

Answer:

C

Step-by-step explanation:

Answer:

0.941

Step-by-step explanation:

Answer:

Here we find the probability of both the pencils ..

Probability of orange pencil = 1/32

probability of green pencil without replacement of orange pencil = 1/31

So,total probability of both orange and green pencil =

\( \frac{1}{32} \times \frac{1}{31} \)

\( \frac{1}{992} \)

mark me as brainliest ❤️

Answer:

6.28 x 10²

Step-by-step explanation:

first number must be greater than or equal to 1 and less than 10

if you move the decimal to the left you need to increase the power of ten by one for each move

if you move the decimal to the rightt you need to decrease the power of ten by one for each move

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Option C. The way that the change would affect the mean and the median is that The mean will increase and the median will not change.

We will find the mean and the median before the 40 was added and after it was added

Before it was added

Mean = 16 + 18 + 20 + 24 + 24 + 24 + 24 + 31 + 32 / 9

= 213 / 9

= 23.67

The median is 24

After we have added 40 the mean would be

16 + 18 + 20 + 24 + 24 + 24 + 24 + 31 + 32 + 40 / 10

= 253 / 10

= 25.3

The median would be 24 + 24 / 2

= 48 / 2

= 24

Hence we can see that the mean got to be higher while the median still remained as 24.

The solution is C.

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Answer:

10/91

Step-by-step explanation:

Number of Red balls = 4

Number of Yellow balls = 3

Number of green balls=7

Total=4+3+7=14

If we pick three balls of the same color, there are three possibilities: (All Red, All Green Or all Yellow).

Therefore:

The probability that all three balls are the same color (note that the selections are without replacement)

=P(RRR)+P(GGG)+P(YYY)

\(=(\frac{4}{14} \times \frac{3}{13} \times \frac{2}{12})+(\frac{3}{14} \times \frac{2}{13} \times \frac{1}{12})+(\frac{7}{14} \times \frac{6}{13} \times \frac{5}{12})\\\\=\frac{1}{91} + \frac{1}{364}+ \frac{5}{52}\\\\=\frac{10}{91}\)

The probability that all three balls are the same color is 10/91.

The areas of the trapezoid is 50 units².

The trapezoid PQRS have bases 10 and 12 units respectively. The height of the trapezoid is unknown. Let's find the area of the trapezoid as follows:

area of trapezoid = 1 / 2 (a + b)h

where

Therefore,

a = 10 units

b = 15 units

Using Pythagoras's theorem,

5² - 3² = h²

h = √25 - 9

h = √16

h = 4 units

area of trapezoid = 1 / 2 (10 + 15)4

area of trapezoid = 1 / 2 × 25 × 4

area of trapezoid = 100 / 2

area of trapezoid = 50 units²

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Answer:

Opposite angles are the same measure.

Angles around a point = 360°

When you add all the angles, you get 360.

Angle a and b would measure the same and so would angle d and c. So you double the measure for one of those angles and subtract it from 360.

Then, you half that value( divide by 2) and this is to find the measure of the other angle

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Answer:

The solutions for 1 + 3 + 5 +...+ (2n - 1), for the first 10 natural numbers are given in the explanation section below.

Step-by-step explanation:

To calculate 1 + 3 + 5 +...+ (2n - 1) for several natural numbers n, we will use several natural numbers to represent n.

For n= 1,

2n - 1 = 2(1) - 1 = 2 - 1 = 1

Hence, 1 = 1

For n = 2,

2n - 1 = 2(2) - 1 = 4 - 1 = 3

Hence, 1 + 3 = 4

For n = 3,

2n - 1 = 2(3) - 1 = 6 - 1 = 5

Hence, 1 + 3 + 5 = 9

For n = 4,

2n - 1 = 2(4) - 1 = 8 - 1 = 7

Hence, 1 + 3 + 5 + 7 = 16

For n = 5,

2n - 1 = 2(5) - 1 = 10 - 1 = 9

Hence, 1 + 3 + 5 + 7 + 9 = 25

For n = 6,

2n - 1 = 2(6) - 1 = 12 - 1 = 11

Hence, 1 + 3 + 5 + 7 + 9 + 11 = 36

For n = 7,

2n - 1 = 2(7) - 1 = 14 - 1 = 13

Hence, 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49

For n = 8,  

2n - 1 = 2(8) - 1 = 16 - 1 = 15

Hence, 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64

For n = 9,

2n - 1 = 2(9) - 1 = 18 - 1 = 17

Hence, 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81

For n = 10,

2n - 1 = 2(10) - 1 = 20 - 1 = 19

Hence, 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 100

Answer:

quadrant 2

Step-by-step explanation:

Answer:

1 year interest: $31000 + $4030

2 year interest: $35030 + $4553.9

3 year interest: $39583.9 + $5145.4

4 year interest: $44729.3

Final Interest: $47120

Step-by-step explanation:

I hope this helps! have a nice day!