Lincoln High School has 78 seniors, 116 juniors, 119 sophomores, and 107 freshmen. Three student names are chosen randomly without replacement. What is the probability of, without replacement, a senior being chosen first, followed by a sophomore, and followed by a junior?

Answers

Answer 1

Answer:

11/320

Step-by-step explanation:

the probability of a senior being chose first is 22 (seniors) divided my total number of students (80) is .275 percent.

multiplied by the probability of a sophomore being chosen 10/80 which equals .125.

multiply those together and you get your probability. 0.034375 or 11/320


Related Questions

Joe drove 80 kilometers per hour for 4 hours. How far did he go?

Answers

Step-by-step explanation:

velocity = distance/time taken

distance=velocity ×time taken

distance=80×4

distance=320kilometers

he went 320kilometers

plzzzzzzzz help for a brainly

Answers

Answer:

246

Step-by-step explanation:

The local weather forecast has been accurate for 24 of the past 30 days. Based on this fact what is the relative frequency probability that the forecast for tomorrow will be accurate

Answers

Step-by-step explanation:

the empirical probability is 24/30, or 4/5. this is also the desired probability.

Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.

Answers

Answer: 471

Step-by-step explanation:

3.14 X 5(2) X 6

3.14 X 25 X 6

471 units (3)

Answer:

401.92

Step-by-step explanation:

khan

Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
17,225 16,953 15,309 15,297 14,437 14,835
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results

Answers

Answer:

H0 : μ = 18000

H1 : μ < 18000 - - - > Claim

Test value = - 3.578

Critical value = ±2.58

There is significant evidence to accept the claim that mean debt at graduation is less than $18000

Step-by-step explanation:

H0 : μ = 18000

H1 : μ < 18000

From the data:

Sample size, n = 30

Sample mean, x = 16298.37

The test statistic :

(16298.37 - 18000) ÷ (2605/sqrt(30))

−1701.63 / 475.60575

= - 3.578

The critical value :

Using the standard normal table;

Critical value at α = 0.01

Critical value = ±2.58

Decison region :

|test statistic | > |Critical value | ; reject H0

|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000

Can someone help me with this ?

Answers

use pythagora's theorem to solve it
c^2=a^2+b^2
x^2=(3/4)^2+1^2
x^2=25/16
x= 5/4 = 1 1/4 inch
therefore it is B
it is b
step by step

3353 8. A survey showed that 1/3 of the students in the class liked blue 1/4 of the remainder liked red. The remaining 24 students liked yellow. How many students were in the class?​

Answers

Answer: there are 48 students in the class

Step-by-step explanation:

let x = the total number of students in the class

1 - 1/3 = 2/3

1/4 * 2/3 = 2/12 = 1/6

1/3x + 1/6x + 24 = x

2/6x + 1/6x + 24 = x

3/6x + 24 = x

1/2x + 24 = x

24 = x - 1/2x

24 = 1/2x

24 * 2 = x

x = 48

there are 48 students in the class

PLEASE HELP MATH QUESTION 99 POINTS ASAP
Function A and Function B are linear functions. Compare the two functions and choose all that are correct.

Answers

Answer:

 2 .The slope of Function A is less than the slope of Function B

A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)

The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)

_____

More detailed working

The slope of Function A can be figured easily between the points with x-values that differ by 1:

 m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.

The slope of Function B is the coefficient of x in the equation: 3.

__

The y-intercept of Function A can be found starting with point-slope form:

 y -22 = 2(x -9)

 y = 2x -18 +22

 y = 2x +4 . . . . . . . slope-intercept form

The intercept of +4 is the same as that of Function B.

Step-by-step explanation:

mrk me brainliest plz

Answer:

2 .The slope of Function A is less than the slope of Function B

A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)

The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)

_____

More detailed working

The slope of Function A can be figured easily between the points with x-values that differ by 1:

m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.

The slope of Function B is the coefficient of x in the equation: 3.

__

The y-intercept of Function A can be found starting with point-slope form:

y -22 = 2(x -9)

y = 2x -18 +22

y = 2x +4 . . . . . . . slope-intercept form

The intercept of +4 is the same as that of Function B.

Step-by-step explanation:

MARK ME BRAINLEIST PLZ PLZ PLZ

Select the correct answer from each drop-down menu

Answers

first one: Exact Form:
- 2 √2-√3-√6-√2/4
Decimal Form:
0.70710678...

A system has two identical components, and requires both the components for system success. If one component fails, the other cannot fail while the failed component is being repaired. The component failure rates and repair rates are 0.1 failures/year and 365 repairs/year respectively. If a similar component is carried as a spare with an average installation time of 1 hour, evaluate the probability of failure, frequency of failure and the average down time of the system.

Answers

Answer:

Step-by-step explanation:

We are given that:

The failure rate = 0.1 failure/year

i.e.  = [tex]\dfrac{0.1}{365\times 24}= 0.00001 \ failure /hour[/tex]

The repair rate = 365 repair/year, if we convert this to repair/hour; we get:

[tex]= \dfrac{365}{365\times 24} \\ \\ = 0.04 \ repair/ hour[/tex]

Time (t) = 1 hour

P(failure) = 1 - R  ; if (t=1)

where:

[tex]Reliability (R ) = e^{-\lambda t}(1+ \lambda t) \\ \\ = e^{-0.00001*1}(1+0.00001 *1) \\ \\ \simeq 0.9999[/tex]

P (failure) = 1 - R  

= 1 - 0.9999

= 0.0001

≅ 0

The frequency meantime of failure = [tex]\dfrac{1}{\lambda}[/tex]

[tex]\dfrac{1}{0.00001}[/tex]

= 100000

The average downtime of repair for the system = [tex]\dfrac{1}{\mu}[/tex]

[tex]=\dfrac{1}{0.04}[/tex]

= 25

An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method

Answers

9514 1404 393

Answer:

  $1.74

Step-by-step explanation:

The ratio of the increase to this year's wage is ...

  12%/112% = x/$16.24

Multiplying by $16.24, we have ...

  x = $16.24(12/112) = $1.74

The dollar amount of the wage increase is $1.74.

De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
(a) la distribución de probabilidad conjunta de X y Y, muestre la tabla de distribución;

(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y

(c) Calcule P(Y = 0|X = 2)

(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes

Answers

Answer:

ok

Step-by-step explanation:

i phone you have a great day but I don't think it will be a good pic of your face is it a good day today and tomorrow to drink seculari sec to

I need help on dis one

Answers

Answer:

B, C, and D

Step-by-step explanation:

ahhhhh uh you are looking for things less than that line so you would pretty much shade in the under side of the line and any point that is in that shaded region is the answer

Can someone help me please

Answers

Answer:

It's 2/15

Step-by-step explanation:

Which two do i pick ? Evaporation changes gas / liquid water to ice (solid) / water vapor (gas).

Answers

Evaporation changes liquid water and even solid water (ice) to water vapor, which is a gas. This all part of the water cycle! Hope this helps!!

Answer:

Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle

Step-by-step explanation:

thank you

Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?

Answers

Answer:

The answer is 15 ounces

Step-by-step explanation:

33/4 ÷ 4 pounds.

(4 × 3 + 3)/4 ÷ 4 pounds.

15/4 ÷ 4 pounds.

15/4 × 1/4 pounds.

15/16 pounds.

Now we know that, 1 pound = 16 ounces.

So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.

Thus, The answer is 15 ounces

a loaf of bread has 12 slice. micky ate 1/4 of the loaf. write the fraction of the loaf micky ate in twelfths

Answers

Answer:

3/12

Step-by-step explanation:

1/4*3/3=3/12

After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service
department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage.
They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are
the conditions for inference met?
O Yes, the conditions for inference are met.
O No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.

Answers

Answer:

A, yes the conditions for inference are met

Step-by-step explanation:

I got the question right so it's right

Sequences:
Determine the first five terms of the following sequences:

A. [tex]a_{n} = \frac{2n+3}{4}[/tex]

B. [tex]a_{n} = \frac{n-3}{n-2}[/tex]

Answers

Answer:

A.

aₙ = (2n + 3)/4

The first 5 terms:

a₁ = (2*1 + 3) / 4 = 5/4a₂ = (2*2 + 3) / 4 = 7/4a₃ = (2*3 + 3)/ 4 = 9/4a₄ = (2*4 + 3) / 4 = 11/4a₅ = (2*5 + 3) / 4 = 13/4

B.

aₙ = (n - 3)/(n - 2)

The first 5 terms:

a₁ = (1 - 3) / (1 - 2) = 2a₂ = (2 - 3) / (2 - 2) = undefineda₃ = (3 - 3)/ (3 - 2) = 0a₄ = (4 - 3) / (4 - 2) = 1 / 2a₅ = (5 - 3) / (5 - 2) = 2 / 3

#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters​

Answers

4x2x2=16cm^3, which is 160mm

Is this correct? the question is asking if the triangle would have a right, acute, or obtuse angle.

Answers

Answer:

Acute

Step-by-step explanation:

All triangles have to have a acute or it would be to big

Answer:

yes it is because its a triangle and its acute

Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?

Number of pounds of type A coffee:

Answers

9514 1404 393

Answer:

  32 pounds

Step-by-step explanation:

Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...

  4.35a +5.80(2a) = 510.40

  15.95a = 510.40 . . . . collect terms

  a = 32 . . . . . . . . . . . divide by 15.95

Number of pounds of type A coffee: 32.

PLEASE HELP MATH QUESTION 99 POINTS HELP ASAP PLEASE
LOOK AT LINKED IMAGE FOR QUESTION.

Answers

Answer:

Graph A. not a function

Graph B. is a function

Mapping A. is a function

Mapping B. not a function

Table A. not a function

Table B. is a function

Answer:

a graph. not a function

b graph.function

a table. not a function

b table. function

maaping a. function

mapping b. not a function

Step-by-step explanatio n:

mark me brainelst plz

Find the 14th term of the arithmetic sequence x-4, 7x-9, 13x-14, ...

Answers

Answer:

14x-9

Step-by-step explanation:

Kind of easy giving alot points to anyone who knows​

Answers

Answer:

5 hours

Step-by-step explanation:

What do you think the answer is

Answers

23/69 is about fashion

Find the value of x. 2x - 5 > 7 *

Answers

Answer:

[tex]x>6[/tex]

Step-by-step explanation:

Answer:

x > 6

Step-by-step explanation:

Find the missing side. Round to the nearest tenth

Answers

Answer:

We know Cot51 = x/17

=> 0.809784 × 17 = x

=> 13.753 = ×

.°. The value of x = 13.753 ~~ 14.000 (Ans)

if f (x)=x^2+1 and g(x) =x-4 which value is equivalent to f x g

Answers

Answer:

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

Step-by-step explanation:

We are given the following functions:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = x - 4[/tex]

Which value is equivalent to f x g?

We multiply these functions, applying the distributive property. So

[tex]f \times g = (x^2+1)(x-4) = x^3 - 4x^2 + x - 4[/tex]

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

What is the measure of angle L

Answers

Answer:

90-15 and you have your answer

Answer:

75

Step-by-step explanation: it is a right angle so you do 90-15 which is 75 degrees.

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