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
antoniya [11.8K]
2 years ago
14

There are 5 red balls, 4 blue balls, 6 yellow balls and 10 green balls in a box,

Mathematics
1 answer:
lys-0071 [83]2 years ago
3 0

<h2 /><h2>Here we go ~ </h2>

According to given information there are :

  • 5 red balls

  • 4 blue balls

  • 6 yellow balls

  • 10 green balls

<h3>1. what is the probability that the ball chosen is red ?</h3>

-

\qquad \sf  \dashrightarrow \: p(red) =  \dfrac{total \: red \: balls}{total \: balls}

\qquad \sf  \dashrightarrow \: p(red) =  \dfrac{5}{5 + 4 + 6 + 10}

\qquad \sf  \dashrightarrow \: p(red) =  \dfrac{5}{25}

\qquad \sf  \dashrightarrow \: p(red) =  \dfrac{1}{5}

<h3>2. what is the probability that the ball chosen is blue ?</h3>

\qquad \sf  \dashrightarrow \: p(blue) =  \dfrac{total \: blue \: balls}{total \: balls}

\qquad \sf  \dashrightarrow \: p(blue) =  \dfrac{4}{5 + 4 + 6 + 10}

\qquad \sf  \dashrightarrow \: p(blue) =  \dfrac{4}{25}

<h3>3. what is the probability that the ball chosen is yellow ?</h3>

\qquad \sf  \dashrightarrow \: p(yellow) =  \dfrac{total \: yellow\: balls}{total \: balls}

\qquad \sf  \dashrightarrow \: p(yellow) =  \dfrac{6}{5 + 4 + 6 + 10}

\qquad \sf  \dashrightarrow \: p(yellow) =  \dfrac{6}{25}

<h3>4. what is the probability that the ball chosen is green ?</h3>

\qquad \sf  \dashrightarrow \: p(green) =  \dfrac{total \: green\: balls}{total \: balls}

\qquad \sf  \dashrightarrow \: p(green) =  \dfrac{10}{5 + 4 + 6 + 10}

\qquad \sf  \dashrightarrow \: p(green) =  \dfrac{10}{25}

\qquad \sf  \dashrightarrow \: p(green) =  \dfrac{2}{5}

<h3>5. what is the probability that the ball chosen is not green ?</h3>

\qquad \sf  \dashrightarrow \: p(not \: green) =  \dfrac{total \: non \: green\: balls}{total \: balls}

\qquad \sf  \dashrightarrow \: p(not \: green) =  \dfrac{5 + 4 + 6}{5 + 4 + 6 + 10}

\qquad \sf  \dashrightarrow \: p(not \: green) =  \dfrac{15}{25}

\qquad \sf  \dashrightarrow \: p(not \: green) =  \dfrac{3}{5}

You might be interested in
In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest
ryzh [129]

Answer:

B = 61°

A = 29°

a = 10

Step-by-step explanation:

We are given;

c = 16, b = 14​

Since we are told that C is a right angle, it means that C = 90°

Thus using sine rule, we have;

c/sin C = b/sin B

16/sin 90 = 14/sin B

16/1 = 14/sin B

sin B = 14/16

sin B = 0.875

B = sin^(-1) 0.875

B ≈ 61°

Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.

Thus, from pythagoras theorem, If the other side of the triangle is a, then;

a² + b² = c²

a² + 14² = 16²

a² = 16² - 14²

a² = 256 - 156

a² = 100

a = √100

a = 10

Since we know B and C, we can find A because sum of angles in a triangle is 180°.

Thus;

A = 180 - (B + C)

A = 180 - (61 + 90)

A = 29°

4 0
3 years ago
A Ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee is beneficial
DaniilM [7]

The test statistic z will be equal to -0.946 and it shows that there is no significant difference in the proportion of rehires between full time and part time.

Given sample sizes of 833 and 386 and result of samples 434 and 189.

n_{1} =833,     n_{2}=386

Proportion  of full time=434/833=0.52

Proportion of part time=189/386=0.49.

Difference in proportion =0.52-0.49

H_{0}:TTF- i∈ rho=0

H_{1}: TTF+i∈ rho≠0.

Mean of difference=0.03

Z=(X-μ)/σ

σ=\sqrt{0.4517/447}

=0.0317

σ=0.0317

z=(0-0.03)/0.0317

=-0.03/0.0317

=-0.317

p value will be =0.1736.

Because p value is greater than 0.01 so we will accept the null hypothesis which shows that there is no significant difference in the proportions.

Hence there is no significant difference in the proportion of rehires between full time and part time.

Learn more about z test at brainly.com/question/14453510

#SPJ4

6 0
2 years ago
How many ways are there for Alice, Bob, Charlie, David and Eve to line up from left to right, such that Charlie is somewhere to
steposvetlana [31]

Answer:

120 ways

Step-by-step explanation:

Alice, Bob, David, Charlie,   Eve

David, Alice, Bob,  Charlie,   Eve

Alice,David, Bob,  Charlie,   Eve

Charlie,   Eve ,Alice,David, Bob,  

Charlie,   Eve ,Alice, Bob, David,

Charlie,   Eve ,David, Alice, Bob,

Alice,Charlie,   Eve , Bob, David,

Alice,Charlie,   Eve ,  David, Bob,

Bob,Alice,Charlie,   Eve ,  David,   and so .

This is a permutation question as the order of placing Charlie to the left of Eve is important.

So the total number of people n= 5 and the possible order is 4 keeping Charlie left of Eve. Eve cannot have the last position to keep Charlie on the left.

Using the formula of nPr = n!/ (n-r)! we get

5! / (5-4)! = 120 ways in which Charlie can be placed to the left of Eve.

6 0
3 years ago
Solve the system by elimination<br><br> 2 + 5 = −24<br> 3 − 5 = 14
belka [17]

Answer:

7=24

-2 = 14

Step-by-step explanation:

(2+5)= 7=24

8 0
3 years ago
Can anyone help me?
just olya [345]

Answer:

The answer is D, 80$ for three 1 hour lessons. I hope this helps :D

4 0
2 years ago
Other questions:
  • Which equation could be used to solve for the measure of angle P?
    11·2 answers
  • What is twenty six times thirty seven
    5·1 answer
  • Two integers a and b, have a product of 24. What's the least they can be?
    13·1 answer
  • If every gram of salt is 20.9% chlorine, how much is required to make a 220 ppm chlorine solution with 350 grams of water?
    15·1 answer
  • A yogurt costs 55p. How many yogurts can be bought for three pounds?
    7·1 answer
  • In a game of chance,players spin a pointer on a spinner with eight equal-sized sections.
    6·1 answer
  • P(take the bus) seniors =
    15·1 answer
  • Can you guys help me​
    15·1 answer
  • The graph of F(x), shown below, resembles the graph of G(x) = x^2?, but it has
    13·2 answers
  • Please help with the problems
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!