a swim team consists of seven boys and four girls a relay team of four swimmers is chosen at random from the team members what is the probability that two boys are selected for the relay team given that the first two selections were girls

Answers

Answer 1

Answer:

16/121

Step-by-step explanation:

First, we need to calculate the chance of a girl being selected for the first pick.

Since there are 4 girls and 7 boys, there are 11 total members on the team. Since 4 of them are girls, there is a [tex]4/11[/tex] chance that a girl is chosen first pick.

Next, to find the chance of the second selection to also be a girl, we have to multiply 4/11 by 4/11 to find that total.

[tex]\frac{4}{11} *\frac{4}{11} =\frac{16}{121}[/tex]

Therefore, the chance of the first two selections being girls is 16/121.

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Related Questions

absolute value of 19/24

Answers

Answer:

-19/-24 ?

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between −19 and 0 is 19 .

-24 has an absolute value of 24

Answer:

0.791666667 I hope this helped

Step-by-step explanation:

PLEASE HELP!!!! ILL MARK BRAINLIEST WITH 10O POINTS!!!!!!! WITH EXLANATION!!


Use the diagram below to create a paragraph proof for the statement: "The sine and cosine of complementary angles are equal"

Answers

Answer:

Complemenraty angles are two angles with sum of 90°. In the given triangle ∠A and ∠B are complementary.

Now, the sine and cosine

sine = opposite side/hypotenusecosine = adjacent side/hypotenuse

Find the sine of ∠A and cosine of ∠B

sin A = BC/ABcos B = BC/AB

Since right sides are equal, left sides are equal too

sin A = cos B

Similarly, we can show that

sin B = cos A

Proved

Choose the ratio that is equivalent to this one: 4/7

Answers

Answer:

4:7

Step-by-step explanation:

4:7 is the same as 4/7

Help with all questions in pictures please
Just put the answers please (ex: 1A 2C 3B. etc)
For question number 7 where it says (Which of the following images represents the polar graph of r = 4cos 2θ?) only two of the graphs are shown please if you can include a graph of the correct answer *70Points*

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Convert point Q to polar coordinates (accounting for correct direction):

[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(-5)^2+(-5\sqrt{3})^2}=\sqrt{25+75}=\sqrt{100}=10\\\\\theta=\tan^{-1}\biggr(\frac{-5\sqrt{3}}{-5}\biggr)=\tan^{-1}\bigr(\sqrt{3}\bigr)=\frac{4\pi}{3}[/tex]

Thus, the answer is [tex]\displaystyle \biggr(10,\frac{4\pi}{3}\biggr)[/tex], or A

Problem 2

Make polar substitutions:

[tex]x^2+y^2-2x+8y=0\\\\r^2-2r\cos\theta+8r\sin\theta=0\\\\r^2=2r\cos\theta-8r\sin\theta\\\\r=2\cos\theta-8\sin\theta\\\\r=-8\sin\theta+2\cos\theta[/tex]

Hence, the answer is C

Problem 3

Eliminate the parameter:

[tex]x=t+3\\x-3=t\\\\y=t^2+2t\\y=(x-3)^2+2(x-3)\\y=x^2-6x+9+2x-6\\y=x^2-4x+3[/tex]

Hence, the answer is C

Problem 4

Identify [tex]z_1[/tex] and [tex]z_2[/tex] and add the complex numbers:

[tex]z_1+z_2=(-3+5i)+(-5-2i)=-3+5i-5-2i=-8+3i[/tex]

Thus, the correct answer is S

Problem 5

Use the formula for multiplying complex numbers in polar form:

[tex]z_1z_2=r_1r_2(\cos(\theta_1+\theta_2)+i\sin(\theta_1+\theta_2))\\z_1z_2=(5)(15)(\cos(240^\circ+135^\circ)+i\sin(240^\circ+135^\circ))\\z_1z_2=75(\cos375^\circ+i\sin375^\circ)\\z_1z_2=75(\cos15^\circ+i\sin15^\circ)[/tex]

Hence, the answer is A

Problem 6

Determine when the ball first hits the ground:

[tex]y=-\frac{1}{2}gt^2+(v\sin\theta)t+y_0\\0=-\frac{1}{2}(32)t^2+(58\sin19^\circ)t+1.9\\0=-16t^2+(58\sin19^\circ)t+1.9\\t\approx1.273[/tex]

Determine the horizontal distance covered by the ball:

[tex]x=(v\cos\theta)t\\x=(58\cos19^\circ)(1.273)\\x\approx69.811[/tex]

Hence, the best answer is C

Problem 7

The equation is in the form of [tex]r=a\cos(n\theta)[/tex] where [tex]a[/tex] is the length of each petal and the curve has a horizontal pole. If [tex]n[/tex] is odd, then there are [tex]n[/tex] petals, but if [tex]n[/tex] is even, then there are [tex]2n[/tex] petals.

From our given equation, there are clearly 4 petals since [tex]n[/tex] is even, and each petal length is 4 units. Hence, the first graph is correct.

|-108| divided by |36|+|17|

Answers

108/53 = 2.037 or 2 2/53

Simplify the polynomial then evaluate for x=-1 3x^2-4+2x-1+x^2

Answers

Answer:

-3

Step-by-step explanation:

Simplified polynomial: 4x^2 + 2x - 5

Plug in -1: 4(-1)^2 + 2(-1) - 5

= -3

In what fraction of their games did Darnel's team score 2 or more runs?

Answers

Answer:

0.75 or 3/4

Step-by-step explanation:

According to the given box plot, the 25% point matches the number 2.

It means the rest of the scores are 2 or more runs:

100% - 25% = 75% = 0.75 = 3/4 of all the runs

A spinner with 10 equally sized slices has 2 blue slices, 4 yellow slices, and 4 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue slice? Write your answer as a fraction in simplest form.

Answers

Answer:

1/5

Step-by-step explanation:

the number of all slices is 10.. and you got 2 blue ones

so you get 2/10 and if you simplify it you get 1/5

15<96–q
what is the value of q

Answers

Answer: q < 81

Step-by-step explanation:

isolate q

15 < 96 - q

-81 < -q

divide by negative 1 but flip inequality because you are dividing by a negative

81 > q so

q < 81

PLS HELPP- I NEED AN ANSWER ASAP BRAINLY WILL BE GIVEN~

Answers

x-9 and x+-9 are equal


A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?

A. 23/38

B. 13/19

C. 15/38

D. 1/2

Answers

D. 1/2 because the amount green and orange balloons combined is 19 and red and yellow combine is also 19 balloons so there is a 50% chance

Answer:

D 1/2

Step-by-step explanation:

Probability is  the ratio of the number of favorable outcomes to the total number of outcomes

number of favorable outcomes = 11+8 = 19

total number of outcomes = 38

                    The probability that a randomly selected balloon would be green or orange is

  19/38 = 1/2

The value of the expression in standard nation is ….. of( 0.00032)(5.2 times 10^6) divided by 6.4 times 10^5

Answers

Answer:

The answer is 0.0026

Step-by-step explanation:

0.00032 x 5200000 = 1664

1664 divided by 640000 is 0.0026

An 8-sided solid is labeled with faces 1, 2, 3, skip, 4, 5, 6, skip. What is the sample space for the number solid, and what is the probability of rolling a 1?

A.
{1,2,3,4,5,6,skip,skip}; P(1)=0.125

B.
{1,2,3,skip,4,5,6}; P(1)=0.14

C.
{1,2,3,4,5,6, skip}; P(1)=0.125

D.
{1,2,3,4,5,6}; P(1)=0.17

Answers

Using it's concepts, it is found that the sample space and the desired probability are given by:

C. {1,2,3,4,5,6,skip}; P(1)=0.125

What is the sample space of an experiment?

The sample space is the set that contains all possible outcomes for an experiment.

If an outcome happens more than once, as is the case for the "skip" in this problem, it is shown only once on the sample space, hence for this problem it is given by:

{1,2,3,4,5,6, skip}

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, one out of eight outcomes result in a one, hence:

P(1) = 1/8 = 0.125.

Which means that option C is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

A window has the shape of a rectangle with a semicircle at the top.

Find the approximate area of the window using the dimensions shown.

Answers

Answer:

8+pi/2

Step-by-step explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

I need this answer fast please factorise the following 16gh2 – 8hi + 24h =

Answers

Answer: 8h(2gh - i + 3)

Step-by-step explanation:

factorise 8 out as 8 is a comon factor of 16, 8 and 24

factorise h out together with 8 because all of them have h

solve for x


plss help​

Answers

Answer:

2

Step-by-step explanation:

These two are similar triangles. 3 corresponds to 9, and x corresponds to 6. Since 3 is being multiplied by 3 to get 9, x*3 should equal 6. Therefore, x is 2.

What is the value of the expression "two less than six times the difference of a number and five" when n = 9?
O22
O 16
O 32
O 31

Answers

I’m assuming that by n = 9 you mean the number in the expression is 9.

If we do this in steps it becomes quite simple, first let’s find the difference between the number and five,

9 - 5 = 4

Next you have to times that difference by 6,

4 * 6 = 24

Now we find what two less than that number is,

24 - 2 = 22

Hope this helps


The first term of an A.P is 3 and the fifth term is 9.Find the number of terms in the progression if the sum of the progression is 81.​

Answers

Answer:

its A becauss i tryed b and th en i tried A so its a

The perimeters of two similar right triangles have a ratio of 3 to 5. If the height of the larger triangle is 12 meters, what is the height of the
smaller triangle?

Answers

Answer:

  7.2 meters

Step-by-step explanation:

Similar triangles have linear dimensions that are proportional. The ratio of heights will be the same as the ratio of permeters:

  h/(12 m) = 3/5 . . . . . . . small/large

  h = (3/5)(12 m) = 7.2 m . . . . . . multiply by 12 m

The height of the smaller triangle is 7.2 meters.

Help picture below problem 9

Answers

Answer:

i think the answer might be E.

the answer is A option that is Angle M

Given that Cos0=5/13,find a)Tan0,b)Sin0,c)Sec0,d)Co sec0,e)Cot0,​

Answers

Step-by-step explanation:

cos 0=5/13. B/H

p=√h2 - b2

= √13 square -5 square

=√169 -25

=√144

=12 Ans

Tan0=p/b =12/5. , sin0=p/h =12/13,. sec0= h/b =13/5 ,. Co sec0 =h/p =13/12 , cot0 =b/p=5/12

Follow me for more knowledge

. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you
purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?

Answers

Answer:

We need the picture of the line plot in order to answer the question

Step-by-step explanation:

Bob is throwing a party. He has 222222 pints of soda. At the end of the party, there are 888 pints of soda.
How many cups of soda were drank during the party?

Answers

The number of the pints of soda were drank during the party will be 14 pints.

What is subtraction?

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Bob is throwing a party. He has 22 pints of soda.

At the end of the party, there are 8 pints of soda.

Then the number of the pints of soda were drank during the party will be

⇒ 22 – 8

⇒ 14

The number of the pints of soda were drank during the party will be 14 pints.

More about the subtraction link is given below.

https://brainly.com/question/4319655

#SPJ1

Simplify the expression by
combining like terms:
-3a + 1 + a +5
Enter the number that belongs in the green box.
[? ]a +[ ]
Enter

Answers

Answer:

-2a+6

Solution:Let's simplify this expression by combining like terms.The like terms are-3a, a1, 5Combine them:-3a+a+1+5-2a+6

Hope it helps.

Do comment if you have any query.

What is the equation
of the line that passes through the point (-2, -3) and has a
slope of -1?

Answers

Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

given : m = -1

the equation is : y = -x+b

through the point (-2,-3) :-3 =-(-2)+b....... b=-5

the equation is : y = -x-5

Fill in the table using this function rule. (Fill Y side)
Y=10x+3

X Y
-1
0
1
5

Answers

Answer:

[tex]y = -7[/tex]

[tex]y = 3[/tex]

[tex]y = 13[/tex]

[tex]y = 53[/tex]

20 characters just for you brainly

Answers

Answer:

first and last option

Step-by-step explanation:

the first and the last are increasing from left to right since the slope is positive.

can some one help me do this question
just give me e and f

Answers

Answer:

I believe the answer should be 90:90:180. I may be wrong.

Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)

Answers

Explaination :

Here we would be using distance formula to calculate the distance between those two points.

Points are,

(-8,3) (-2,5)

Distance Formula :

[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

We have :

x1 = -8 x2 = -2 y1 = 3 y2 = -5

Substituting the values in the formula :

Refer the attachment.

The distance between the pair of points (-8,3) and (-2,-5) in radical form is √100.

What is the distance between the pair of points?

The distance formula can be expressed as:

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}[/tex]

Given the coordinates of the pair of points:
Point 1( -8,3 )

x₁ = -8

y₁ = 3

Point 2( -2,-5 )

x₂ = -2

y₂ = -5

Plug the coordinates into the distance formula and simplify.

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( -2 - (-8) )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( -2 + 8 )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( 6 )^2 + ( -8 )^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}[/tex]

Therefore, the distance is √100 units.

Learn more about the distance formula here: brainly.com/question/24509115

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PLEASE HELP PLEASE PLEASE HELP

Answers

Answer: Choice D

Reason:

Choices A through C all result in 8/3 = 2.667 approximately

In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.

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