The students who attend Memorial High School have a wide variety of extra-curricular activities to choose from in the after-school program. Students are 38% likely to join the dance team; 18% likely to participate in the school play; 42% likely to join the yearbook club; and 64% likely to join the marching band. Many students choose to participate in multiple activities. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors. What is the probability of the intersection of being a junior and participating in marching band?

0.89
0.39
0.16
0.73

Answers

Answer 1

Answer:

0.16

Step-by-step explanation:

I took the test

Answer 2

Probability of the intersection of being a junior and participating in marching band = 0.16

What do we mean by Probability?

The probability of an event taking place is the numeric value determining how likely that particular event is to take place.

It is determined by the formula,

Probability( Event ) = Number of favorable outcomes for that event/Total number of outcomes.

The summation of all probabilities for a given event is 1.

What do we mean by the intersection of Probabilities?

The intersection of Probabilities is just the product of the two probabilities.

How do we solve the given question?

In the question, we are said that students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

Probability(A student is a junior) = 1/4 = 0.25, as we have 4 cases all equally probable.

Now, we are said that a student is  64% likely to join the marching band.

Probability( A student joins marching band) = 64% = 64/100 = 0.64.

We are asked to find the probability of the intersection that a student is a junior and participates in the marching band.

Probability( A student is a junior and joins marching band) =  Probability( A student joins marching band)* Probability( A student is a junior)

Probability( A student is a junior and joins marching band) = 0.64*0.25 = 0.16

Probability of the intersection of being a junior and participating in marching band = 0.16

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Related Questions

At a cultural fair, the Indian booth sold chapatti and naan breads for $2 each.
A total of $228 was raised. Forty more chapatti breads than naan breads were
sold.

Answers

Answer:

2x + 2y = 228

x - y = 40

Step-by-step explanation:

Antoine works in a restaurant and he is paid his regular hourly rate of 40 hours a week and time and a half for all hours over 40 in that week. If the rate is $14/h and he works 47 hours calculate the total pay.

Answers

560+ 147= 707

14(40)= 560
14+ 14(1/2)=21
21(7)= 147

Which graph shows the solution set for 2 x + 3 greater-than negative 9?
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answers

Step-by-step explanation:

I would belive it's C

have a great day

Answer:

D!

ITS ON MAH QUIZ

IM DOIN IT RN ✨

Step-by-step explanation:

ASAP "PLEASE HELP"Farah rolled a number cube 84 times. The outcome of "2" occurred 12 times. What is the experimental probability of rolling 2. Write your answer as fraction in simplest form.​ Please I only have 1 hour left

Answers

Answer: [tex]\dfrac{1}{7}[/tex]

Step-by-step explanation:

Given

A cube is rolled 84 times

2 occurred 12 times

Experimental probability is determined by the use of data obtained in the experiment.

Therefore, the experimental probability of obtaining 2 on 84 rolls of the die is

[tex]\Rightarrow P=\dfrac{12}{84}\\\\\Rightarrow P=\dfrac{1}{7}[/tex]

Given the function f(x) = -5+4x, then what is -f(x) as a simplified polynomial?

Answers

Answestf u

Step-by-step explanatio

ggggggggggggggggggggggggggggggggggg

{3х + 4y = 6
{7х + 8y = 10​

Answers

(-2,3) or x = -2, y = 3

PLEASE ASSIST ME IN THE ALGEBRA PROBLEM !!!

Answers

Answer:

Solution given.

centre (h,k):(-6,1)

radius (r)=2

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+6)²+(y-1)²=2²

(x+6)²+(y-1)²=4 is a required equation of a circle.

Liz walks 1/2 mile in 20 minutes on Monday and 3 3/4 in 150 minutes on Sunday is this proportional or non -proportional

Answers

Answer:

proportional

Step-by-step explanation:

so if 1/2 is 20, 1/4 is 10, and 1 whole mile is 40.

40 + 40 + 40 + 10 + 10 + 10 = 150

because we used the reasoning from the first part and it turned out correct, it is proportional

How do you find the radius of a Tetrahedron?




My own question no answer choices.
No bit links plz. 15 points and plz describe well.

Answers

Answer:

The center of the tetrahedron divides each of the four heights (or medians) in the ratio 1:3 (in an equilateral triangle the corresponding ratio is 1:2). The smaller part is also the radius of the inscribed sphere. Therefore the radius of this sphere is one quarter of the height or 9 in your case.

A group of students must collect at least $120 to Organize a science fair they already have collected $30 which graph best represents all the remaining amount of money in dollars the student should still collect to organize the science fair

Answers

Answer:

the second one

Step-by-step explanation:

The second one is correct 120-30=90

n
What is the area of this composite figure?
4 cm
7.5 cm
15.5 cm
18 cm
135 cm2
207 cm
0 249 cm2
0 270 m2

Answers

It is 4.7 cm in within

Kathy only answered 3/4 of the questions on her exam. She got 5/6 of the questions she answered correct. What portion of the questions did Kathy get correct?
A. 9/10
B. 39/20
C. 5/12
D. 5/8

As fast as possible please

Answers

Answer:

5/8

Step-by-step explanation:

Would explain but you said as fast as possible.

The answer to the question is 5/8

What is the equation
in slope-intercept
form of the line that
passes through the
points (-4, 20) and
(2,-34)?

Answers

i believe the answer is y=-9x-16 !

How do I solve this problem?
-17=2x+7

Answers

Answer
x=-12
Explanation

Move the terms
-17-2x=7

Add the numbers
-2x=24

Divide both sides of the equation by -2
x=-12

Hope this helps:)

Samantha saves at least 10% of the money she earns each month. She earns $120 each month for a year. Which inequality describes the total amount Samantha saves?

Answers

Step-by-step explanation:

10 % each month is $12.00 12 months in a year 12 x 12.00 = $144.00

The inequality to describe the total amount Samantha saves is s > 15.

The correct option is (A).

What is Inequality?

Inequalities are mathematical formulas in which neither side is equal. We compare two values in inequality.

As per the given data:

We are given that Samantha saves at least 10% of her monthly salary.

Samantha is earning $150 each month for a year.

To find the amount Samantha at least saves in a month:

= 10% of her monthly salary

= 10% × 150

= 10/100 × 150

= 15 dollars

As she is saving, at least 15 dollars, then the inequality to describe her savings is as follows:

savings > 15

The inequality to describe the total amount Samantha saves is s > 15.

Hence, The inequality to describe the total amount Samantha saves is

s > 15.

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(The given question is incomplete, the complete question is given below)

Can someone explain step by step?

Sally makes $580 a week and her weekly salary is taxed 20%. How much is her weekly take home salary?

Answers

Answer:

464 dollars.

Step-by-step explanation:

Step-by-step explanation:

20/100x580

11600/100

=116

therefore, 580-116 equal 464

Sally take home salary will be $464

At a football game, a vender sold a combined total of 208 sodas and hot dogs. The number of hot dogs sold was 44 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.

Answers

Answer:

the number of sodas sold and the number of hot dogs sold is 126 and 82 respectively

Step-by-step explanation:

Given that

The total of sodas and hot dogs sold is 208 sodas

And, the number of hot dogs was 44 less than the number of sodas sold

We need to find out the  number of sodas sold and the number of hot dogs sold

Let us assume the number of sodas sold be x

So, the number of hot dogs be x - 44

Now as per the given question

x + x - 44 = 208

2x = 208 + 44

2x =  252

x = 126

So, the number of hot dogs is

= 126 - 44

= 82

hence, the number of sodas sold and the number of hot dogs sold is 126 and 82 respectively

12t^2-25t+12=0 Solve the equation for all real solutions.

Answers

Answer:

t=4/3 or 3/4

Step-by-step explanation:

12t^2-25t+12=0

(3t-4)(4t-3)=0

3t-4=0 or 4t-3=0

t=4/3 or t=3/4

HELP!! ASAP PLEASE!! WILL GIVE BRAINLIEST!!

Compute 6^(-4) divided by 3^(-4).
GIVE YOUR ANSWER AS A FRACTION!

Answers

Answer:

6^-4 ÷ 3^-4

6^-4/3^-4

Since their powers are negative

Flip them both so the negative index is lost.

It now becomes

3^4/6^4

81/1296

=1/16

Plz Help, Find the missing angel.

Answers

Answer:

it's c, 80 degrees

Step-by-step explanation:

a triangle is like a straight line, but it has 3 different angles that all add up to 180 degrees

what is the difference between the points (-3,4) and (-3,-5)?

Answers

The difference between the points (-3, 4) and (-3, -5) is (0, 9)

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Which of the following is the simplified form of (3-5)3? A.-8. B.-1/64. C.8. D.-12

Answers

Answer:

Sorry keep trying buddy

Step-by-step

sorry

Please help!!!
Find the surface area of the prism below. Do not put units in your answer.

Answers

Answer:

256.51

Step-by-step explanation:

Find the hypotonuese of the trangle (8^2+ 5^2= c^2) then multiply all of them together then multiply by a 1/2.

Have a good day :)

How to solve this. I am very confused.

Answers

To solve, we will need to plug in -5 for x in both instances.

|-5 + 2| / -5 + 2

|-3| / -3

Now, these absolute value bars may be a bit puzzling. What we have to do is take the absolute value of the number inside of the brackets. Meaning, that if the number is negative, we make it positive, and if the number is positive, then it stays positive.

3 / -3

-1

Hope this helps!! :)

Answer:

-1

Step-by-step explanation:

Plug in the value for x (-5) into the equation: [tex]\frac{|(-5)+2|}{(-5)+2}[/tex]

Simplify:[tex]\frac{|-3|}{-3}[/tex]

Take absaloute value to simplify further:

(All absaloute value means (which is what these bars represent: | |) is how far away a number is from zero, so the number will always be its positive counterpart if it is not already positive):

[tex]\frac{3}{-3}[/tex]

Now simplify (divide 3 by -3) to get your answer:

-1

can someone please help me on this question? 30 points

Answers

Answer:

Equation: 3x-20+x=180

4x-20=180

4x=200

x=50

Step-by-step explanation:

Rewrite the formula for the circumference
of a circle, C = 2πr in terms of its
diameter d.

Answers

Answer:

C = (pi)d

Step-by-step explanation:

hope this helps!! BAD BUNNY IS COMING

have a nice day:)

Answer:

diameter of circle=2radius

circumference of a circle =2πr

=(2r)(π)

=dπ unit

Anyone I need help whit this question

Answers

Answer: 94.3 meters

Step-by-step explanation:

the answer to this question is 94.3

Sam took a flight from Dubai to Qatar. He left Dubai at 4 pm local time. The flight duration was 1 hour. If Qatar is 2 hours ahead of Dubai, what was the local time in Qatar when he arrived?​

Answers

it was 7pm in qatar when he arrived

Replace variables with values and
evaluate using order of operations:
V=Lwh
L = 4
W= 10
h = 12

I need help please

Answers

Answer:

480

Step-by-step explanation:

Substitute in the numbers for your letters, the length being 4, width being 10 and height being 12. To make things easier, multiply 10 by 12 which gets you 120. Then multiply 120 by 4 and you get 480.

if I spent 3/8 of my salary on food, 1/4 on rent and still have $600 left, how much was my salary?

Answers

This answer is 960$ 3/8 plus 1/4 equals 5/8 and 5/8 of 960 is 600.
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