A university class has 29 students: 14 are accounting majors, 9 are business majors, and 6 are history majors. The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is an accounting major and the second student is a history major

Answers

Answer 1

Answer:

0.1034 = 10.34% probability that the first student selected is an accounting major and the second student is a history major

Step-by-step explanation:

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

In this question:

14 account majors from a set of 29 students.

Then, 6 history majors from a set of 29 - 1 = 28 students.

[tex]p = \frac{14}{29}*\frac{6}{28} = \frac{14*6}{29*28} = 0.1034[/tex]

0.1034 = 10.34% probability that the first student selected is an accounting major and the second student is a history major

Related Questions

Please help i can’t figure out the scale factor on these polygons

Answers

Answer: Scale of 2:1

Step-by-step explanation:

All the angles are the same. So its the same polygon just bigger.

Line DA multiplied by a factor of 2 will make is as long as Line ZW.

Line AB multiplied by 2 will also make it equal to Line WX

From that we can assume that Lines XY and YZ are equal to Lines BC and CD

Jenny made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $85?

Answers

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

math HELPPPO MEEEEE PPZZZZ

Answers

Answer:

3x+7x

Step-by-step explanation:

Answer:

D) 3x+7x

Step-by-step explanation:

D) 3x+7x

Find the area of the circumference of a circle wit radius 9 cm

Answers

Answer:

area = πr^2

= 81 π

circumference = 2πr

= 18 π

hope it helps

Step-by-step explanation:

A≈254.47cm²

r Radius

what is 20/3 in pounds

Answers

Answer: 6 2/3 pounds.

Step-by-step explanation:

Answer:

6 2/3 pounds

Step-by-step explanation:

find the area of the shaded region. geometry please help if your good at it. will mark brainlist

Answers

Area of shaded region = area of circle - area of segment

(where "segment" refers to the unshaded region)

Area of circle = π (11.1 m)² ≈ 387.08 m²

The area of the segment is equal to the area of the sector that contains it, less the area of an isosceles triangle:

Area of segment = area of sector - area of triangle

130° is 13/36 of a full revolution of 360°. This is to say, the area of the sector with the central angle of 130° has a total area equal to 13/36 of the total area of the circle, so

Area of sector = 13/36 π (11.1 m)² ≈ 139.78 m²

Use the law of cosines to find the length of the chord (the unknown side of the triangle, call it x) :

x ² = (11.1 m)² + (11.1 m)² - 2 (11.1 m)² cos(130°)

x ² ≈ 404.82 m²

x = 20.12 m

Call this length the base of the triangle. Use a trigonometric relation to determine the corresponding altitude/height, call it y. With a vertex angle of 130°, the two congruent base angles of the triangle each measure (180° - 130°)/2 = 25°, so

sin(25°) = y / (11.1 m)

y = (11.1 m) sin(25°)

y ≈ 4.69 m

Then

Area of triangle = xy/2 ≈ 1/2 (20.12 m) (4.69 m) ≈ 47.19 m²

so that

Area of segment ≈ 139.78 m² - 47.19 m² ≈ 92.59 m²

Finally,

Area of shaded region ≈ 387.08 m² - 92.59 m² ≈ 294.49 m²

In a bag of blue and yellow candies, the ratio of blue candies to yellow candies is 3:5. If the bag contains 60 yellow candies, how many blue candies are there?

Answers

Answer:

36 blues

Step-by-step explanation:

Answer:

36 blue Candies

Step-by-step explanation:

Let

x ----> the number of blue Candies

y ----> the number of yellow Candies

we know that

The ratio of blue candied and yellow candies is 3:5

Step-by-step explanation:

The ratio of blue candied and yellow candies is 3:5

x = 3

y 5 -----> equation A

the bag contains 60 yellow Candies

y=60 ----> equation B

substitute equation B in equation A

r 3

60 5

solve for x

x=3 (60) = 36

Use the distributive property to write an equivalent expression. (6+8)⋅x *

Answers

Answer: 14*x

Step-by-step explanation: I am 99% sure

what is the answer to 5,082 / 5 =

Answers

Answer

If you mean 5082 ÷ 5 than the answer is 1016.4

Step-by-step explanation:

Hope it helps!

1
Which graph corresponds to the table of values?
х
2
4
5
у
-2
2
4
А
С
B
D

Answers

Answer:

Step-by-step explanation:

There are 20 girls
and 12 boys in a class.
What would be the probability of
randomly selecting a girl? (Decimals please)

Answers

Answer: 240

Step-by-step explanation:

Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly

5th grade math. correct answer will be marked brainliest.

Answers

Hopes this helps:

Answer:

8 17/24

find the exact value of sin a = 4/5, a lies in quadrant 2, and cos B = 2/5, B lies in quadrant 1 find cos(a-b)

Answers

Answer:

Cos(a - b) = 0.959

Step-by-step explanation:

We know that:

Sin(a) = 4/5

Such that a is on the first quadrant (between 0° and 90°)

then:

Sin(a) = 4/5

Asin(sin(a)) = Asin(4/5)

a = Asin(4/5) = 53.13°

And:

Cos(b) = 2/5

Then:

Acos(Cos(b)) = Acos(2/5)

b = Acos(2/5) = 36.67°

Then:

Cos(a - b)

where:

a = 53.13° and b = 36.67°

Then:

Cos(a - b) = Cos(53.13° - 36.67°) = 0.959

The table represents an exponential function. What is the multiplicative rate of change of the function? 07 1 2 un un 3 2 2 5 2 25 2. 125 O 2 4 O 5

Answers

Answer:

Step-by-step explanation:

1/5

Answer: 1/5

Step-by-step explanation:

How do I solve 1 1/3 × 2 2/4 in steps?

Answers

Answer:

3 1/3

Step-by-Step

first step is too make a an improper fraction, 1 1/3 equals 4/3 and 2 2/4 equals 10/4. next your gonna multiply 4/3 and 10/4, 4x10=40,3x4 equals 12, so it would be 40/12. but its improper, we need to reduce it. the lowest number that can go in both numbers is 4. 40 divided by 4 =10. 12 divided by 4=3. 12/3= 3 1/3

Answer:

10/3

Step-by-step explanation:

That's 1 1/3 times 2 1/2.

Converting these into improper fractions, we get 4/3 times 5/2.

Multiplying (4/3) by (5/2), we get 20/6, or, after reduction, 10/3

Find the slope of the line passing through the two points ( 2, 7) and ( 6, 15)

Answers

m = y2-y1/x2-x1

m = 15-7/6-2

m = 8/4

m = 2

Solve for x.
5x + 14 greater than or equal to 54

Answers

Answer:

x = 8

Step-by-step explanation:

Answer:

equal, tell me if I'm wrong

In 2004, an art collector paid $62,817,000 for a particular painting. The same painting sold for $31,000 in 1950. Complete parts (a) through (d).
For part c, estimate the rate of change of the painting's value in 2026 but I want to know how to obtain the answer to the problem. Thanks!

Answers

Answer:

WeIIcome

Step-by-step explanation:

Did you find it or do you need help

Help pls i'm lost help

Answers

Answer:

Step-by-step explanation:

Okay so what I understand is that you divide it let’s take example the 1st one do the picture I think then just shade the same amount. But with more parts. Hope this helps plz tell me if I’m right if not plz tell me right answer so I learn thanks.

MK=24, JL= 20, And m

Answers

Answer:

Step-by-step explanation:

Answer: need a pic or more info

Step-by-step explanation:

SOMEONE, PLEASE HELPP ME!!!
Ten hamburger values meals cost $60.

Answers

Each burger is 6 dollars each and 4 of them would cause 24$

The burgers are $6 bucks each and 4 times 6 is 24 it’s 24

For the past three years, Nigel has grown 1 inches each year. How many total inches has he grown in the past three years?

Answers

Did it tell you a starting height? But that’s literally 3....

What Is The Answer
k3 - 4j +12, when k=8, j=2

Answers

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Yes, answers would be 28

can anyone help me please

Answers

A , because if you multiple you have to distribute

A, you have to use PEMDAS. So multiply and distribute

Which pair of triangles can be proven congruent by SAS?

Answers

Answer:

top choice

Step-by-step explanation:

For SAS, you need a side followed by an angle followed by another side of one triangle to be congruent to the corresponding parts of another triangle.

The top choice shows side-angle-side.

The middle choice shows angle-side-angle.

The bottom choice shows side-side-side.

Answer: top choice

The one that is proven by SAS is the top choice.

Please help ASAP. I need someone to check my Geometry answer and explain why I am right or wrong. REAL ANSWERS ONLY. 20 PTS!

Answers

Answer:

you are right

Step-by-step explanation:

Use the law of law of cos

c^2=a^2+b^2﹣2abcos√angle

(2√13)^2=52=4+36-24cos(a)

cos(a) = -12/24 = -1/2

a = 120 degrees

so yes, you are right

L(-5, -1)
L'd
M(-3, 1). -
M'(
N(-1,8)
Nd

Answers

Answer:

huh

Step-by-step explanation:

Please help me with mathematics.

Answers

Answer:

1.A+B=2y²+3x-x²+3x²-y²=y²+3x+2x²

2.A-B=2y²+3x-x²-3x²+y²=3y²+3x-4x²

3.B+C=3x²-y²+5x²-3xy=8x²-3xy-y²

4.B-C=3x²-y²-5x²+3xy=3xy-2x²-y²

5.A+B+C=2y²+3x-x²+3x²-y²+5x²-3xy

=y²+3x+2x²+5x²-3xy=y²+3x-3xy+7x²

6.A+B-C=y²+3x+2x²-5x²+3xy=y²+3x+3xy-3x²

1,2,3 or 4?

Look at the picture.
Thank u!

Answers

Answer:

option 2

4/7

Step-by-step explanation:

Multiply 4/3x3/7 = 12/21

now simplify 12/21 = 4/7

A parabola has its vertex at (-6, 5) and focus at (-6.25, 5). Which of the following is an equation for this parabola?

Answers

Answer:

Step-by-step explanation:

vertex and focus are horizontally aligned, so parabola is horizontal.

focal length p = distance between focus and vertex = 0.25

focus lies to the left of vertex, so the parabola opens to the left.

x = a(y-k)² + h,

vertex (h,k)

a = -1/(4p)

vertex (-6,5)

h = -6

k = 5

p = 0.25

a = -1/(4·0.25) = -1

x = -(y-5)² - 6

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