1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yakvenalex [24]
4 years ago
10

Determine the probability. At a certain college, there are 600 freshman, 400 sophomores, 300 juniors, and 200 seniors. If one st

udent is selected at random, what is the probability that the student is a sophomore
Mathematics
1 answer:
larisa [96]4 years ago
4 0

Answer:

4/15

Step-by-step explanation:

The question asks to calculate the probability of a student picked from all is a sophomore.

What we do here is to find the total number of students first= 600 + 400 + 30 + 200 = 1,500 students

The probability of a sophomore is just placing the number of sophomores over the total number of students = 400/1500 = 4/15

You might be interested in
Solve for pi please.
Olenka [21]

Answer:

2A / r^2 = pi

Step-by-step explanation:

A = 1/2 pi r^2

Multiply by 2

2A = pi r^2

Divide by r^2

2A / r^2 =  pi r^2/r^2

2A / r^2 = pi

3 0
3 years ago
Doug takes 8 minutes to drive his car down the hill to his meeting and 16 minutes to drive up the hill from his meeting. He atte
icang [17]

Answer:

336

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Write a literal equation that represents x% of z is equal to y.
Vera_Pavlovna [14]

Answer:

zx - 100y = 0

Step-by-step explanation:

Since, x% of z is equal to y

\therefore \:  \frac{x}{100}  \times z = y \\  \therefore \:  \frac{xz}{100}  = y \\ \therefore \:  zx = 100y \\  \therefore \: zx - 100y = 0

8 0
4 years ago
For positive acute angles A and B, it is known that cos A= 20/29 and tan B= 11/60. Find the value of cos(A + B) in simplest form
jek_recluse [69]

Answer:

\displaystyle \cos(A + B) =\frac{969}{1769}

Step-by-step explanation:

We are given that:

\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}

Where A and B are positive acute angles.

And we want to find cos(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:

o=\sqrt{29^2-20^2}=21

Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:

h=\sqrt{11^2+60^2}=61

In summary:

With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.

With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.

We can rewrite our expression as:

\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B

Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:

\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)

Simplify:

\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}

3 0
3 years ago
280 sheets of paper are 4cm thick.
Alex787 [66]

Answer:

a. 9 cm thick

b. 189 sheets

Explanation:

a. 280 sheets = 4cm thick and 630 sheets = ? cm thick

using unitary method

280 x = 4 × 630

x = 9cm

b. 280 sheets = 4cm thick and ? sheets = 2.7 cm thick

using unitary method

280 × 2.7 = 4 x

x = 189 sheets

6 0
3 years ago
Other questions:
  • |2-5x|+3<10 how to solve
    9·1 answer
  • (4, 3) is a solution to the following system of equations: <br> True or false
    9·2 answers
  • How would you write the equation with a slope of 2/3 and a y-intercept of -3​
    13·1 answer
  • A baker used 2/3 cup of flour to make 1/3 of a recipe. How much flower would the baker use to make the whole recipe?
    6·1 answer
  • USING SSS , SAS, ASA, &amp; AAS WITH CONGRUENT TRIANGLES For each problem below, state each of the following: a ) state the cong
    12·1 answer
  • I’ll give brainliest please help!
    6·1 answer
  • The height of the right circular cylinder shown below is 10 feet and its base has a radius of 4 feet. A. B. C. D.
    11·1 answer
  • HELPPPPP !!!!!!!! PLSSSS AWNSERRR!! i'm not looking for "X"! Unit 7: Polygons &amp; Quadrilaterals Homework 3: Rectangles i'm lo
    10·2 answers
  • Franklin built a rectangle with square tiles.
    8·2 answers
  • A home cleaning service has fixed monthly expenses of $1,276.00, and a monthly profit of $4,135.00. Determine how much revenue i
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!