WILL MARK BRAINLY FOR WHO EVER GETS THIS RIGHT

WILL MARK BRAINLY FOR WHO EVER GETS THIS RIGHT

Answers

Answer 1

Answer:

The first option and the third option

Step-by-step explanation:

Since the figure moved 4 places down and 4 places to the right.

Answer 2

Answer:

Option 1, ,2, 3, and 4 are correct.

Step-by-step explanation:

Have a nice day!


Related Questions

A hospital director is told that 54% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is under the expected percentage. A sample of 120 patients found that 60 were insured. Find the value of the test statistic. Round your answer to two decimal places.

Answers

According to question,

Given data,

A hospital director is told that 54% of the emergency room visitors are insured.

A sample of 120 patients  found that 60 were insured.

We know that,

To determine the percentage,

we have to divide the value by the total value and then multiply the resultant by 100,

Percentage formula

Is /of=%?100

Or

Part/whole=%/100

With the help of formula,

Part/sample of patient=%/100

60×100/120=50%

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Solve:(6x^2+5x+1)÷(x+2)​

Answers

Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

Angel wants to invest $4,000.00 in a savings account.

Determine the simple interest rate required for Angel's investment to grow to $13,400.00 in 25 months.

Round your answer to the nearest tenth of a percent and don't forget to include a percent sign, %, in
your answer.

The interest rate required to grow the investment to $13,400.00 is ______

Answers

The interest rate required to grow the investment to $13,400.00 would be = 35%

What is simple interest?

Simple interest is the amount of money that is received for a particular period of time due to an investment made to an account.

The principal amount = $4,000.00

The time for investment = 25 months = 2 years

The simple interest = 13,400 - 4000= $9400

The rate (R) = X

The formula for simple interest=

p×t×r/100

9400= 13,400× 2×r/100

Make R the subject of formula;

R = 9400×100/13400×2

R = 940000/ 26800

R= 35%

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what is a acute angle

Answers

Answer: Measure less 90 degrees

Step-by-step explanation: Less than 90 degrees measure acute angle. 90 degrees in right corner. Obtuse corners are larger than 90 degrees

What values of y and z make AFGHACBD?
2z+14
+2
2y+35
G
I
>
N
H
7y
B
32-1
D

Answers

Step-by-step explanation:

To make the equation AFGHACBD true, the value of y must be 7, and the value of z must be 32-1=31.

Here is how the equation works out:

2z + 14 = 2 * 31 + 14 = 68

2y + 35 = 2 * 7 + 35 = 49

68 + 2 = 70

70 > 49

49 + 7y = 49 + 7 * 7 = 98

98 > 70

70 + 32 - 1 = 70 + 31 = 101

101 > 98

98 + 2y + 35 = 98 + 2 * 7 + 35 = 146

146 > 101

So, the values of y and z that make the equation AFGHACBD true are y=7 and z=31.

A fast food chain decides to decrease the size of its soft drink cups by 10%. If the new soft drink
cup holds 27 oz, how much did the original cup hold?

Answers

Answer:

30 oz

Step-by-step explanation:

x = size of original cup

x - (0.10)x = 27 oz

(0.90)x = 27 oz

x = 27 / 0.90 = 30 oz

Neglecting air resistance and the weight of the propellant, determine the work done in propelling a 10-ton satellite to a height of 200 miles above Earth. Assume that the Earth has a radius of 4000 miles. O 4.190.48 mi-ton 1,142.86 mi-ton O 1,904.76 mi-ton 2,857.14 mi-ton 1,523.81 mi-ton

Answers

Therefore ,the the  the work done in propelling a 10-ton satellite to a height of 200 miles above Earth is 1904.7619 million ton.

Analyze the equation.

An expression is composed of a number, a variable, both, or neither, and specific operation symbols. An equation is made up of two expressions, which are separated by an equal sign.

Here,

Use F(x) = C/[tex]x^{2}[/tex]

Where c is a constant and x is the radius of the earth

F(x) is satellite weight

We have to find c.

thus,

=> 10 = c /[tex]4000^{2}[/tex]

=> c =160000000

Therefore,

=> F(x) =  160000000/  [tex]x^{2}[/tex]

Workdone ,

=> W = [tex]\int\limits^{4200}_{4000} {F(x)} \, dx[/tex]

=>W = [tex]\int\limits^{4200}_{4000} {160000000 /x^{2} } \, dx[/tex]

=>W =[tex]\left \{ {{4200} \atop {4000}} \right. \frac{-160000000 }{x}[/tex]

=> W =1904.7619 million ton

Therefore ,the the  the work done in propelling a 10-ton satellite to a height of 200 miles above Earth is 1904.7619 million ton.

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The graphs below have the same shape. f(x)=x². What is the equation of the graph of g(x) ?
A. g(x)=(x-2)²
B. g(x)=(x+2)²
C. g(x)=x²+2
D. g(x)=x²-2

Answers

The equation of the graph of the function g(x) is A. g(x) = (x - 2)²

How to determine the equation of the graph of the function g(x)?

From the question, we have the following parameters that can be used in our computation:

f(x) = x²

Also, we have the given graph

From the graph, we can see that the graph f(x) is shifted right y 2 units

This means that

g(x) = f(x - 2)

So, we have

g(x) = (x - 2)²

Hence, the equation is (a) g(x) = (x - 2)²

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Which of the following is a subspace of R^3? (A) All vectors of the form(0, a, a^2), (B) All vectors of the form(a+2, a, 0), (C) All vectors of the form (a, b, 2), (D) All vectors of the form(a, b, a-2b)

Answers

All vectors of the form(a, b, a - 2b) is a subspace of R³. So, the correct option is option(D).

Subspace:

If W is a set of one or more vectors from a vector space V, then W is a subspace of V if and only if

If u and v are vectors in W, then u + v in W. ku is in W if k is any scalar and u is any vector in W.

Now, check the options and find out the option which satisfy the subspace conditions.

A) All the vectors are of form (0, a,a²)

let (0,1,1) = u and v=(0,2,4) and both are belongs to { 0, a,a² : a∈R }, (0,0,0)∈ {0, a,a² : a∈R }.

u + v = (0,1,1) + (0,2,4) = (0,3, 5) not belongs to

{ 0, a,a² : a∈R }. So, this is not correct option.

B) Here, (0,0,0) does not belongs to

{0, a, a+2 : a∈R } because if a= 0 then a+2 =/ 0 .

So, it is also not subspace.

C) All vectors of the form (a, b, 2)

The third tuple is 2 which never be equal to zero. Hence, (0,0,0) does not belongs to (a, b, 2) and it is not form subspace.

D) All vectors of the form (a, b, a - 2b)

When a = 0 , b = 0 => (0,0,0) ∈(a, b, a - 2b)

let u = ( a1, b1 , a1- 2b1) and v = ( a₂, b₂ , a₂ - 2b₂)

and α∈R

u + v = ( a₁, b₁ , a₁- 2b₁ ) + ( a₂, b₂ , a₂ - 2b₂)

= ( a₁ +a₂ , b₁+b₂ , a₁+a₂ -2(b₁ - b₂)) €(a, b, a - 2b)

αu = α(a₁ , b₁ , a₁- 2b₁)

=( αa₁ , αb₁ , α(a₁ - 2b₁))∈(a, b, a - 2b)

both the conditions are satisfied, so it is Subspace of R³.

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I need help these problems

Answers

Step-by-step explanation:

she made shots = 34%of 54

=50*34/100

=17

he made 17 shots

A camera shop stocks eight different types of batteries, one of which is type A76. Assume there are at least 32 batteries of each type.
A)How many ways can a total inventory of 32 batteries be distributed among the eight different types?
B)How many ways can a total inventory of 32 batteries be distributed among the eight different types if the inventory must include at least four A76 batteries?
C)How many ways can a total inventory of 32 batteries be distributed among the eight different types if the inventory includes at most three A76 batteries?

Answers

Number of ways total inventory of 32 batteries  be distributed among the 8 different types - 15257889504

What is a permutation ?

The number of possible arrangements for a given set is determined mathematically, and this process is known as permutation. The term "permutation" simply refers to the variety of possible arrangements or orders. The positioning of the permutations matters a lot.

Number of ways total inventory of 32 batteries  be distributed among the 8 different types -

39!/30! 7! = 39X38X37X36X35X34X33X32X31 / 7X6X5X4X3X2X1

= 15257889504

Number of ways total inventory of 32 batteries  be distributed among the 8 different types, in inventory must include A76 - 35! / 28! 7!

= 35X34X33X32X31X30X29 / 7X6X5X4X3X2X1 = 6714520

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NO LINKS!!!
Find the sum of the finite arithmetic sequence.
Sum of the first 150 positive integers

Answers

Answer:

11325

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7.3 cm}\underline{Sum of the first $n$ terms of an arithmetic series}\\\\$S_n=\dfrac{1}{2}n[a+l]$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $l$ is the last term.\\\phantom{ww}$\bullet$ $n$ is the number of terms.\\\end{minipage}}[/tex]

A positive integer is a whole number that is greater than zero.

Therefore:

The first term, a, of the first 150 positive integers is 1.The last term, l, of the first 150 positive integers is 150.The number of terms, n, is 150.

Substitute the values into the formula to find the sum of the first 150 positive integers:

[tex]\implies S_{150}=\dfrac{1}{2}(150)\left[1+150\right][/tex]

[tex]\implies S_{150}=75 \cdot 151[/tex]

[tex]\implies S_{150}=11325[/tex]

Please help!!!!!!!!!!!!

Answers

The value of variable x in the equation is x = -3y + 5/ 2

How to solve an equation for a variable?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Therefore, the equation 2x + 3y = 5 can be solved for x as follows:

We have to make x the subject of the formula in the equation.

Subject of the formula is the variable which is expressed in terms of other variables involved in the formula.

Hence,

2x + 3y = 5

subtract 3y from both sides of the equation

2x + 3y = 5

2x + 3y  - 3y = 5 - 3y

2x = 5 - 3y

divide both sides by 2

Therefore,

x = 5 - 3y / 2

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A certain game keeps track of the maximum and minimum scores obtained so far. If num represents the most recent score obtained, which of the following algorithms correctly updates the values of the maximum and the minimum?

Answers

following algorithms correctly updates the values, If num is less than the minimum, set the minimum equal to num. Otherwise, if num is greater than the maximum, set the maximum equal to num.

What is algorithm ?An algorithm is a process used to carry out a computation or solve a problem. In either hardware-based or software-based routines, algorithms function as a detailed sequence of instructions that carry out predetermined operations sequentially.

The game records the highest and lowest scores that were earned. This indicates that the game already has the highest and lowest score stored in its memory.

Now, if a new score, num, is achieved, the game must compare num with the minimum and maximum scores in order to update the minimum and maximum scores. The minimum score is updated to the score, num if the most recent score, num, is lower than the minimum score.

Additionally, the maximum score is updated to the score, num if the most recent score, num, is higher than the maximum score.

Complete Question :

A certain game keeps track of the maximum and minimum scores obtained so far. If num represents the most recent score obtained, which of the following algorithms correctly updates the values of the maximum and the minimum?

If num is greater than the minimum, set the minimum equal to num. Otherwise, if num is greater than the maximum, set the maximum equal to num.If num is less than the minimum, set the minimum equal to num. Otherwise, if num is greater than the maximum, set the maximum equal to num. If num is less than the minimum, set the minimum equal to num. Otherwise, if num is less than the maximum, set the maximum equal to num. If num is greater than the minimum, set the minimum equal to num. Otherwise, if num is less than the maximum, set the maximum equal to num.​

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Rory is an independent filmmaker and has great ideas for several movies. For each short film or full-length movie she makes, she has to raise money. She figures that it will take 7 months to raise money for each short film and 7 months to raise money for each full-length movie. She has given herself at most 49 months to raise money for the films before she abandons the project.
1
While Rory is raising money, she also has to write the scripts. It will take her of a month to write each short film script and 2 months to write each full-length movie script. She is committed to spending at most 13 months on writing scripts.
a. What is the system of inequalities that models this scenario?
b. What is the graph of the solutions?
continued

Answers

The required inequality expressions are 7x + 7y ≤ 49 and x + 2y ≤ 13 an the graph has been plotted with clarity.

How to write an expression for linear inequality?

The expression for inequality can be written by taking the suitable sign for the given problem and then relating the variable part to the constant terms.

(a) Suppose the number of short film and full movie are x and y respectively.

Then, the inequality expression for the given case can be written as follows,

The inequality for money raised is,

7x + 7y ≤ 49

And, the inequality for script writing is,

x + 2y ≤ 13

(b) These inequalities can be graphed as follows,

Hence, for the given case the required system of inequalities is 7x + 7y ≤ 49 and x + 2y ≤ 13 and the graph for the solution is drawn properly.

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if the circumference of a circle is 5cm, then the diameter is ____cm.
a. 5 cm
b. 31.4 cm
c. 15.7 cm
d. 1.57 cm

Answers

Let’s start with the circumference of a circle formula and solve for “d” (diameter):

C=2πr

The circumference, “C,” is 5cm

5=2πr

Let’s rewrite the formula using the commutative property of multiplication so we can solve for “d:”

5=π2r

The order in which numbers are multiplied does not affect the product. Since the diameter is double the radius, 2r will equal the diameter since 2r equals r+r. So, we can substitute “d” in for 2r:

5=πd

Now, let’s solve for d

Divide both sides by pi:

5/π=d

1.591=d

We can check this back into the formula:

C=π(1.591)

C=4.998


So, your answer is 1.57 since it is the closest.

Using substitution to solve the following system of linear equations, what is the y-coordinate for the solution? 6x + y = -32 y = x - 4 Select one:a. y = -8b. y = 8c. y = 2d. y = -4

Answers

Therefore , the answer to this problem is that  y-coordinate for the solution is option a) y = -8

What does equation mean?

A number, a variable, or a mix of both are used in an expression coupled with specific operation symbols. An equal sign is used to denote the division of two expressions that make up an equation.

Here,

6x + y = -32 and

y = x - 4

=> 6x +( x - 4) = -32

=>7x -4=-32

=>7x =-28

=> x = -4

Thus,

y = -4 - 4 = -8

Therefore , the  y-coordinate comes out to be y = -8

Thus, the correct option in the following option is option a)y=-8.

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Suppose we roll a fair die four time. What is the probability that a 6 occurs on exactly one of the rolls?

Answers

The probability that a 6 occurs on exactly one of the rolls after rolling a fair die four times is 0.385.

What are the 3 types of probability?

The Three Kinds of Probability

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

What is the formula to find out probability?

Formula used to find probability

The probability is often defined as the proportion of positive outcomes to all outcomes in the sample space. It is written as, the likelihood of an event

P(E) = (Number of favorable outcomes) ÷ (Sample space).

As die is rolled 4 times ,

X≈ binomial(4, 1/6)

P(X=r) = nCr (p)^r (q)^(n-r)

P(X = 1) = 4C1 × (1/6)^1 × (5/6)^3

           = 4 × 1/6 × (5/6)^3

∴P(X = 1) = 0.257

The probability that a 6 occurs on exactly one of the rolls after rolling a fair die four times is 0.385.

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In Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Emerson struck out 42 times in 140 times at bat.

What percentage of times at bat did Emerson actually hit the ball?

%

Answers

Emerson actually hit the ball 32% of times at bat.

What is percentage ?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Since in Game 1, Emerson struck out 30 times in 90 times at bat;

in Game 2, he struck out 40 times in 120 times at bat;

in Game 3, Emerson struck out 42 times in 140 times at bat;

To determine what percentage of times at bat did Emerson actually hit the ball, the following calculation must be performed:

(30 + 40 + 42) / (90 + 120 + 140) = X

112/350 = X

0.32 = X

Therefore, Emerson actually hit the ball 32% of times at bat.

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It is known that 25 % percent of Americans identify themselves as republican . In a random sample of n=20 Americans , what is the expected number of republicans ? It is known that 25 % percent of Americans identify themselves as republican . In a random sample of n=20 Americans , what is the standard deviation of the number of republicans ? ( Round to 2 decimal places )

Answers

Using percentages, we know that out of 20 people, 5 people that is 25% of the random sample consider themselves as republicans.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics.

We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

So, we have a random sample of 20 people.

n = 20

And we also know that 25% of Americans identify themselves as republicans.

Then the number of republicans in 20 people would be:

20/100 * 25

.2 * 25

5


Therefore, using percentages, we know that out of 20 people, 5 people that is 25% of the random sample consider themselves as republicans.

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Construct a cumulative frequency distribution
765-799| 22

Answers

The steps to construct a cumulative frequency distribution table are mentioned above.

What is cumulative frequency distribution? What is a mathematical function, equation and expression?                cumulative frequency : A cumulative frequency is defined as the total of frequencies, that are distributed over different class intervals. function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is to construct a cumulative frequency distribution table.

Since the data is not given, we can write the steps to construct a frequency distribution table. The steps to create a cumulative frequency distribution table are mentioned below -

find the individual frequencies for each distinct value or category.arrange the obtained data in ascending order.the cumulative frequency of a distinct category is calculated by finding the sum of a category’s frequency and the total frequencies of all categories below it. the cumulative frequency of the first category equals the category’s individual frequency.

Therefore, the steps to construct a cumulative frequency distribution table are mentioned above.

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For each diagram below, work out whether AB is a tangent to the circle, is not a
tangent to the circle, or if it is not possible to tell.
Justify your answers.
13 cm
5 cm
12 cm
10 cm
4 cm
11 cm
18 cm
18 cm
25 cm
Not drawn accurately

Answers

The tangent AB is for circle in figure (a).The correct option is (a).

What is the relation between the tangent and a circle?

For a given circle there can only be one tangent at one point.

The tangent and the circle has only one point in common.

The tangent to a circle is always perpendicular to the radius at that point.

The tangent drawn to a circle is always at right angle to the radius at that point.

The given figures are examined one by one as follows,

(a) The sides of the triangle are given as 5, 12 and 13.

And, 13² = 5² + 12²

Which implies it is a right triangle by Pythagoras theorem.

(b) The sides of the triangle are given as 4, 10 and 11.

And, 11² ≠ 10² + 4²

Which implies it is not a right triangle by Pythagoras theorem.

(c) The sides of the triangle are given as 18, 25 and 18.

And, 25² ≠ 18² + 18²

Which implies it is not a right triangle by Pythagoras theorem.

Thus, only for figure (a) the criteria for the tangent satisfies.

Hence, the line segment AB is tangent to the circle given in figure (a).

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b) What number is 10% text more than 40?

Answers

Answer:

it might be 4

Step-by-step explanation:

that's all I have

I need help that's all if you cN helpe please do I'm beginning you

Answers

The slope of y = 7x - 10 is 7 while the y-intercept is -10 thus it has a high slope but a lower y-intercept so option (D) is correct.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

A linear function with slope m and y-intercept c is given as y = mx + c.

Compare the given function y = 7x - 10

Slope m  = 10

y-intercept = -10

Hence "Y = 7x - 10 has a slope of 7 and a y-intercept of -10, meaning it has a high slope but a low y-intercept".

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Two friends, Andrew and Liz, are playing a game using this spinner. If the spinner lands on region 1, Andrew wins. If it lands on region 2, Liz wins. If it lands on region 3, nobody wins. Is this a fair game?​

Answers

Answer:

Based on the information provided, it does not seem like this game is fair. Since region 1 and region 2 are the same size, each player has an equal chance of winning, but since region 3 is significantly larger than the other regions, neither player has a high chance of winning. This means that one player could potentially win multiple times in a row just by luck, without the other player having a chance to catch up. In order for the game to be considered fair, the relative sizes of the regions should be such that each player has a roughly equal chance of winning.

Answer:

yes. they both have ⅓ chance of winning

Step-by-step explanation:

(Graphing Proportional Relationships MC)

The table shows a proportional relationship between x and y

x 4.5 // 8.2 // 2.4
----------------------------------------
y 13.5 // 24.6 // 7.2

Which of the following correctly describes the graph of the relationship?

A line that goes through (0, 0) and (13.5, 4.5)
A line that goes through (4.5, 13.5) and (24.6, 8.2)
A line that goes through (13.5, 4.5) and (8.2, 24.6)
A line that goes through (0, 0) and (4.5, 13.5)

Answers

The option that  correctly describes the graph of the relationship is; D: A line that goes through (0, 0) and (4.5, 13.5)

How to find the slope between two coordinates?

The formula for the slope between two coordinates is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Let us take two coordinates from the table which are;

(2.4, 7.2) and (4.5, 13.5)

Thus;

Slope = (13.5 - 7.2)/(4.5 - 2.4)

Slope = 3

Now, looking at the options, the first 3 cannot be correct because they have mixed up x-coordinate values with y-coordinate values.

Let us check the last option which is a line that goes through (0, 0) and (4.5, 13.5). Thus;

Slope = (13.5 - 0)/(4.5 - 0)

Slope = 13.5/4.5

Slope = 3

Thus, we conclude that it is correct.

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Last week Scott ran 43 miles less than James. Scott ran 5 miles. How many miles did James run?
A. 35
B. 44
C. 38
D. 48

Answers

Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

Data collected on the discharge of the Colorado River and the speed are given in the table:


Discharge (ft3) Speed
1.3 2.3
2.2 0.99
5.8 3.5
11 5
12 16
14 22
16 27
21 14
49 33
51 35


What is the value of the correlation coefficient and its interpretation?
0.76; There is a strong, positive association between discharge and speed.
0.87; There is a strong, positive association between discharge and speed.
−0.76; There is a strong, negative association between discharge and speed.
−0.87; There is a strong, negative association between discharge and speed.

Answers

Answer:

The value of the correlation coefficient is 0.87, which means there is a strong, positive association between discharge and speed. A positive correlation means that as one variable increases, the other variable also increases. In this case, as the discharge of the Colorado River increases, the speed of the river also increases. The strength of the association is indicated by the magnitude of the correlation coefficient, which ranges from -1 to 1. A value of 0.87 is considered a strong positive correlation, indicating that there is a strong relationship between the two variables.

A quiz team of 5 children is to be selected from a class of 25 children. There are 15 girls and 10 boys in the class. (a) How many teams made up of 3 girls and 2 boys can be selected? (b) How many teams can be selected with at least 3 girls?

Answers

Using combination we get  20475 teams can made up of 3 girls and 2 boys and 37128  teams can be selected with at least 3 girls.

Why does combination mean?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

Since this is just a team of 5 children,

we have   no of girls = 15

No of boys = 10

teams made up of 3 girls and 2 boys

girls out of 3 girls can be selected in  ¹⁵C₃ ways and

2 boys out of 10 boys can be selected in  ¹⁰C₂  ways.

[tex]\implies[/tex] ¹⁵C₃ X  ¹⁰C₂

= 455*45 =20475 Ways

Teams can be selected with at least 3 girls

It is the probability of at least 3 girls which means P(3 girls,2 boys) or P(4 girls,1 boy) or P(5 girls, 0 boys)

[tex]\implies[/tex] ¹⁵C₃ X  ¹⁰C₂  + ¹⁵C₄ X  ¹⁰C₁ + ¹⁵C₅ X  ¹⁰C₀

= 455 * 45 +1365*10+3003*1

=20475 +13650 +3003

=37128 ways

To learn more about combinations  refer,

https://brainly.com/question/4658834

#SPJ4

(4+√5)/(√5 -2) rationalize the denominator and simplify

Answers

Answer: 13 + 6√5

Step-by-step explanation: None

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