For purposes of making on-campus housing assignments, a college classifies its students as Priority A (seniors), Priority B (juniors), and Priority C (freshmen and sophomores). Of the students who choose to live on campus, 22% are seniors, 29% are juniors, and the rest are underclassmen. The most desirable dorm is the newly constructed Gold dorm, and 71% of the seniors elect to live there. 19% of the juniors also live there, along with only 5% of the freshmen and sophomores. What is the probability that a randomly selected resident of the Gold dorm is a senior? Show as much work as possible.

Answers

Answer 1

Answer:

The probability that a randomly selected resident of the Gold dorm is a senior is 0.1562

Step-by-step explanation:

The given percentage of each class of student is presented as follows;

Priority A (seniors) = 22%, ∴ P(s) = 0.22

Priority B (juniors) = 29%, ∴ P(j) = 0.29

Priority C (freshmen and sophomores) = (100 - 22 - 29)% = 49%, ∴ P(fs) = 0.49

The percentage of the seniors that elect to live at the Gold dorm, = 71%, ∴ P(sG) = 0.71

The percentage of the juniors that live at the Gold dorm = 19%, ∴ P(jG) = 0.19

The percentage of the freshmen and sophomores that live in the Gold dorm = 5%, ∴ P(fsG) = 0.05

The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = P(s) × P(sG)

∴ P(s∩sG) = 0.22 × 0.71 = 0.1562

Therefore;

The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = 0.1562.


Related Questions

The cost of a school banquet is $95 plus $15 for each person attending .write an equation that gives total cost as a function of the number of people attending.what is the cost for 77 people

Answers

So, y = mx + b.

Identify the variables

m is for how many people is attending to the school banquet.

x is for the cost for each person attending

b is for the cost of a school banquet

m = 77, x = 15, b = 95

Now plug in the variables

y = 77(15) + 95

Solve:

77 (15) = 1155

1155 + 95 = 1250

Your answer is $1250.

(I hope this is correct)

x-intercept of 5 and a y-intercept of -4.
Write this street's equation in slope intercept form.

Answers

Answer:

y = 5x -4 or you could also write y = 5x + -4

it's still the same thing.

Step-by-step explanation:

please help to solve the question​

Answers

[tex] \: \: \: \: \: \blue{\underline{\underline{ \large{ \tt{ \red{✧A \: N \: S \: W \: E \: R}}}}}}[/tex]

[tex] \large{ \tt{✽ Step - By - Step \:Explanation}} : [/tex]

[tex] \underline{ \underline{ \large{ \tt{G \: I\: V \: E \: N}}} }: [/tex]

C.P of two mobile set = Rs 55555Profit % on selling 1 mobile = 10%Loss % on selling another mobile = 10%

[tex] \underline{ \underline{ \large{ \tt{S\: O \: L \:V \:I \: N \: G}} }}....[/tex]

[tex]\begin{array}{ |c| c | } \tt{Case \: I}& \text{Case \: II} \\ \hline \hline \tt{CP = x} &  \tt{ CP = 55555 - x} \\ \tt{Profit\% =10 } & \tt{Loss\% = 10\%} \\\ \tt{SP_{1} = \frac{cp(100 + P\%)}{100} }\\ &  \tt{SP_{2} = \frac{cp(100 - L\%)}{100} }\\ = \tt{\frac{x(100 + 10)}{10} } &  = \tt{\frac{9 \cancel{0}(55555 - x)}{1 \cancel{00}}} \\ \\ = \frac{11}{10} x &  = \tt{\frac{499995 - 9x}{10}} \end{array}

[/tex]

[tex] \underline{ \large{ \tt{According \: To \:Question \: (ATQ)}} }: [/tex]

[tex] \large{ \tt{ SP_{1} = SP_{2}}}[/tex]

⤏ [tex] \large{ \tt{ \frac{11}{10} x = \frac{499995 - 9x}{10}}} [/tex]

⤏ [tex] \large{ \tt{110x = 4999950 - 90x}}[/tex]

⤏ [tex] \tt{110x + 90x = 4999950}[/tex]

⤏ [tex] \large{ \tt{200x = 4999950}}[/tex]

⤏ [tex] \large{ \tt{x = \frac{4999950}{200}}} [/tex]

⤏ [tex] \large{ \tt{x = 24999.97}}[/tex]

[tex] \large{ \tt{Replacing \: Value}} : [/tex]

⤏ [tex] \large{ \tt{ SP = 2( \frac{11}{10 } \times 24999.97) = \underline{Rs \: 54999.934}}} [/tex]

[tex] \large{ \tt{CP = Rs \: 55555}}[/tex]

Since SP < CP , he / she made a loss

[tex] \large{ \tt{Loss\% = \frac{CP- SP}{CP} \times 100\% }}[/tex]

⟶ [tex] \large \tt \: \frac{55555 - 54999.934}{55555} \times 100\%[/tex]

⟶ [tex] \large{ \tt{0.99\%}}[/tex]

⟶[tex] \boxed{ \large{ \tt{1\%}}}[/tex]

Hence , Loss percent = 1%

Hope I helped ! ♕

Have a wonderful day / night ! ツ

✏[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !!

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]\begin{gathered}\begin{array}{ |c| c | } \tt{Case \: I}& \text{Case \: II} \\ \hline \hline \tt{CP = x} & \tt{ CP = 55555 - x} \\ \tt{Profit\% =10 } & \tt{Loss\% = 10\%} \\\ \tt{SP_{1} = \frac{cp(100 + P\%)}{100} }\\ & \tt{SP_{2} = \frac{cp(100 - L\%)}{100} }\\ = \tt{\frac{x(100 + 10)}{10} } & = \tt{\frac{9 \cancel{0}(55555 - x)}{1 \cancel{00}}} \\ \\ = \frac{11}{10} x & = \tt{\frac{499995 - 9x}{10}} \end{array} \end{gathered} [/tex]

Write an equation to represent the measures of the angles

Answers

Answer:

x = 72

Step-by-step explanation:

These angles are complementary so they add up to 90:

x + 18 = 90

x = 90 - 18

x = 72

A building casts a shadow that reaches10 ft. Out from the base of the building. The length of shade from the top of the building to the end of the shadow is 26 ft. How tall is the building?

Answers

Answer:

24 ft

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

26^2 = 10^2 + length^2

676 - 100 = length^2

length = 576

find the square root

= 24

GIVING BRAINLIEST TO THE CORRECT ANSWER!!

Marta's dog just had six puppies. Four are female (F), and two are male (M). One of the males is brown. Two of the females are brown. All puppies are either brown or white. If Marta randomly gives away puppies to her friends, what is the probability of a friend getting a puppy that is male, brown, or both?

4. What is the probability that a puppy Marta gives away is male, brown, or both? Explain.​

Answers

Answer:

male= 1/3 brown =1/2, both 1/6

Step-by-step explanation:

there is 2 males and 6 total, simplified is 1/3. there are 3 browns and 3 whites, so simplified is 1/2 instead of 3/6. There is only one brown male, so you cannot simplify it more than 1/6.

Brainliest PLZ PLZ PLZZZZZ

Answer:

[tex]\frac{2}{3}[/tex]

We are assuming that only one puppy is given away!

Step-by-step explanation:

6 puppies in total

4/6 are female 2/6 are male

2/6 female and brown 2/6 female and white 1/6 male and brown 1/6 male and white

We want all of the male population which is 2/6 and the 2/6 of the female population that are brown added together

[tex]\frac{2}{6} + \frac{2}{6} = \frac{4}{6} = \frac{2}{3}[/tex]

2
Jillian numbered 10 counters from 1 through 10 and placed them in a cloth bag. She then performed an experiment where she
drew one counter, recorded its number, and then replaced it. Jillian did this 25 times. The results of Jillian's experiment are shown
in the table.
Jillian's Experiment
Counter Number of
Number Times Drawn
1
4
2
3
4
4
3
2
5
6
3
7
0
3
8
9
2
10
3
What is the experimental probability of drawing a number 1 counter followed by a number 6 counter?
OA
1 of 10 Answered
Session Timer: 1:22
Session Score: 096 10/11

Answers

Answer:

8/625

Step-by-step explanation:

bc i guessed and its says 8/625

What is the volume of a square prramid with base edges 24m and slant height 13m? A 960 m B 2496 m C 2880 m D 4800 m

Answers

Answer:

B

Step-by-step explanation:

https://keisan.casio.com/exec/system/1223352513

Answer:

B

Step-by-step explanation:

24 x 13 squared = 2496

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

Step-by-step explanation:

3: Answer: 115

4: Answer: 20

Answer:

3. is 115 4. is 20

Step-by-step explanation:

3. Mrs. Lopez, a counselor at Round Rock High School. found that 18% of the students had a math class first period. If there are 800 students at the school, how many students are NOT in a math class for first period?​

Answers

Answer:

656 students

Step-by-step explanation:

18% of 800 is 144, and 800-144= 656 :)

Someone please help

Answers

I think the answer is B I hope I’m correct

You are skiing down a hill with an altitude
of 600 feet. The angle of depression is 15°.
Find the distance x you ski down the hill to
the nearest foot.

Answers

Answer:

x= 40

Step-by-step explanation:

award me

Dakota paid $48.60 for a new backpack, and this included an 8% sales tax. What is the price before tax.

Answers

Answer:

The price before sales tax was added was $9.72.

Step-by-step explanation:

48.60 x 0.8 = 38.88 (Sales tax price)48.60 - 38.88 = 9.72 (Price before sales tax)

500 + 500 = ? for easy points

Answers

Answer:

1000 is the answer on this question

Answer:

500+500=1000

i hope you have a nice day thank you for the points!

Step-by-step explanation:

brainliest please! :)

samantha gathered the following information on a given day at the dog park

Answers

Answer:

Ok

Step-by-step explanation:

The table completely to represent Samantha's data is

Dogs Puppies  Not Puppies Long Hair Not Long Hair

3232 1515    1717                  1111                 606

How to form two-way table?

Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  X_i  and Y_j  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

We are given that;

Number of dogs playing=3232

Number of puppies=1515

Now,

We can calculate the number of dogs that have long hair by using the information that there are 66 more dogs that have long hair than dogs that do not have long hair. We know that there are 1111 dogs that have long hair and 1717 dogs that are not puppies. So, the number of dogs that do not have long hair is 1717 - 66 = 1651.

We can also check that the total number of dogs is equal to the sum of the number of puppies and the number of not puppies. 1515 + 1717 = 3232.

Therefore, the table will be;

Dogs Puppies  Not Puppies Long Hair Not Long Hair

3232 1515    1717                  1111                 606

Learn more about two-way table here:

https://brainly.com/question/26788374

#SPJ3

The complete question is;

Samantha gathered the following information on a given day at the dog park.

• There are 3232 dogs playing at the dog park.

• 1515 of the dogs are puppies.

• 1111 of the dogs are not puppies and have long hair.

• There are 66 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha's data.

72 paper clips to 63 paper clips

find the change in percent

Answers

Answer:

The number of paperclips decreased by 12.5%

Step-by-step explanation:

72-63=9

9/72 = .125 or 12.5%

Answer:

Step-by-step explanation:

To get percentage change, we use the formula:

Percentage change =

Here,

the new value is the later value of 63 and the old value is the first value of 72

Plugging in the values in the formula gives us:

Percentage change =

The percent change is 12.5% (we can also say that it is a decrease of 12.5% since negative)

The circumference of the circle shown below is 54 centimeters. Which
expression gives the length in centimeters of ?
х
120"
O A.
360
.. 545
120
y
ОВ.
120
360
54
O c.
360
-.54
120
O D.
120
• 545
360

Answers

Answer:

B

Step-by-step explanation:

120/360  54

Juan's time in the race was 5.04 seconds and Tiauna's was 5.40. Explain who had the faster speed and by how much?

Answers

Answer:

speeds of Juan and Tiauna  are 0.1984 m/s and 0.1851 m/s respectively

Step-by-step explanation:

Given:  Juan's time in the race was 5.04 seconds and Tiauna's was 5.40 seconds

Let speed of Juan and Tiana's be J m/s and T m/s respectively

In the race both Juan and Tiauna will cover equal distance. Therefore, the speed and time would have reciprocal relationship

Speed ∝ 1/Time

This means J = 1/5.04 m/s

J= 0.1984 m/

and, T = 1/5.40 m/s

T= 0.1851 m/s

Therefore, speeds of Juan and Tiauna  are 0.1984 m/s and 0.1851 m/s respectively

Nolan rode his bicycle from his house to the store at a speed of 4.5 mph. If it took him 16 minutes to get there, how many miles is the store from Nolan's house.

Answers

Answer:

1.2mi

Step-by-step explanation:

16/60 x4.5=1.2 mi

What can a video do that a text cannot

Answers

Answer:

A video can use moving images and sound unlike text

Step-by-step explanation:

Answer:

A video has special edits whilst a text cannot be edited when sent to a person nor in the process of being sent. A video can have a special ability to be replayed and has moving objects. While a text can be only read.

(Which text are you talking about by the way?)

what is the negative x-intercept of y=x^2-2x-3 PLEASE HELP!!​

Answers

Answer:

(-1,0)

Step-by-step explanation:

FIND THE THE
MISSING ANGLE:
56°
82°
Х

Answers

The answer is 42... you add 56 and 82 then subtract that sum from 180

Answer:

x=42°

Step-by-step explanation:

All sides of a triangle equals 180. so 56+82= 138. 180-138 equals 42

Help please, if you don’t know don’t say anything✨

Answers

(x-5)^2+(y+4)^2=100
hope this helps

Which of the following represents the slope and y-intercept of the line?
PLEASE HELP ASAPPPPPPPPPPPPPP IM GIVING YOU MAJOR POINTSSSS

Answers

Answer:

try hard

Step-by-step explanation:

No links plz


x+1/ 3x^3 +10x^2-x-9

Answers

Answer:

You didn't tell us much on what to do, so I just guessed you wanted it simplified. If you want a different answer, please do so tell me and I'll edit my answer to fit.

Simplified: 10[tex]x^{2}[/tex] + [tex]\frac{1}{3x^{3} }[/tex] - 9

Find the inverse of

g(x)=16+x/4

Give full explanation

Answers

Answer:

x/4 + 16

Step-by-step explanation:

to  add or subtract the expressions expand them to make therir deomanators the same . Multiply 16 times 4/4

since 16 x 4/4 have the same deniomanator add them by adding the numorators

do the multiplications in 16X4 + x

= x/4 + 16

hopes this help!

On Tuesday, Mario does Taco Tuesday where tacos are 5 for $7.00. If the regular price is $2.00 what is the per taco savings on taco Tuesday ? a.$1 b.$80 cents c$1.20 d.60 cents

Answers

Answer:

d. 60 cents

Step-by-step explanation:

7 divided by 5 is 1.4

2 - 1.4 = .60

D. 60 cents

Explanation:

I’m trying to bring my grade up by doing some makeup work so can someone please answer this for me please

Answers

Answer:

A and B (answer #2)

Step-by-step explanation:

right triangles: c^2 = a^2 + b^2

c is the largest side

for A: c = 5, a = 3, b = 4

5^2 = 3^2 + 4^2

25 = 25, so A is a right triangle

for B, c = 13, a = 5, b = 12

13^2 = 5^2 + 12^2

169 = 169, so B is a right triangle

for C, c = 4, a = 2, b = 3

4^2 = 2^2 + 3^2

16 ≠ 13, so C is not a right triangle

So, A and B are right triangles.

ansswer ; a and b

..


Please help I’ll give points

Answers

Answer:

<2

Step-by-step explanation:

The measure of <5 is <7 ÷ <1 = <2

Riley took 5 tests in science. ​ ​Each test had a different score. The mean score of the tests was 90%. The median score of the tests was 85%. Based on this information, select the two statements that must be true.

A: More than half of the scores were 85% or greater.
B: More than half of the scores were 90% or greater.
C: There were no scores less than 85%
D: There were no scores less than 90%
E: At least one score was exactly 85%
F: At least one score was exactly 90%

Answers

Answer:

A: More than half of the scores were 85% or greater.

E: At least one score was exactly 85%

Step-by-step explanation:

Here the 5 test would be taken in science so 85% would be the result of one of the test

Also 85% represent the median so it means there are 2 values more and 2 values less

So there are 3 results with 85% or greater

Hence, the option A and Option E is correc

And, the rest of the options are wrong

Answer:

A and E

Step-by-step explanation:

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