answer.
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
marshall27 [118]
1 year ago
5

There are three choices of jellybeans - grape ,cherry and orange. if the probability of getting a grape is 3/10 and the probabil

ity of getting cherry is 1/5, what is the probability of getting orange
Mathematics
1 answer:
muminat1 year ago
6 0

When looking at probabilities, two ideas are always true.

1) Any probability is more than 0.

2) The sum of all the probabilites is 1.

Idea #2 works here. (For example, think of how a die has six things and the probability of each is 1/6. So 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1.) Let G = the probability of grape, C = probability of cherry and O = the probability of orange. From Idea #2, G + C + O = 1. Since we know G and C, then

3/10 + 1/5 + O = 1.

3/10 + 2/10 + O = 1

5/10 + O = 1

O = 5/10

Thus, the probability of an orange jelly bean is 5/10 = 1/2.

You might be interested in
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
anzhelika [568]
You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.

Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions

Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions

x+y=24
Subtract y from both sides
x=24-y

Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14

Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
x=10

So there are 10 three point questions
There are 14 five point questions.

Hope this helped! :)
6 0
1 year ago
Read 2 more answers
Most skilled individuals texting are less likely to have an accident compared to the ones that have to look at their phones?
vivado [14]
No
 the answer is no because although you feel you have control as an experienced driver, a mere second can kill you
3 0
1 year ago
Read 2 more answers
About 400,000 people visited an art museum in December. What could be the exact number of people who visited the art museum
Zigmanuir [339]
The answer is 359,572
8 0
1 year ago
Read 2 more answers
A sample of 900 college freshmen were randomly selected for a national survey. Among the survey participants, 372 students were
Rufina [12.5K]

Answer:

a) ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423

b) 0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371

Step-by-step explanation:

1) Data given and notation  

n=900 represent the random sample taken    

X=372 represent the students were pursuing liberal arts degrees

\hat p=\frac{372}{900}=0.413 estimated proportion of students were pursuing liberal arts degrees

\alpha=0.01 represent the significance level

z would represent the statistic (variable of interest)    

p_v represent the p value (variable of interest)    

p= population proportion of students were pursuing liberal arts degrees

2) Solution to the problem

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

The margin of error is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

If we replace we have:

ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423

And replacing into the confidence interval formula we got:

0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371

0.413 + 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.455

And the 99% confidence interval would be given (0.371;0.455).

We are confident (99%) that about 37.1% to 45.5% of students were pursuing liberal arts degrees.

7 0
2 years ago
1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall
EleoNora [17]

Answer:

Porter is n-m inches taller than Henry.

Porter is \frac{n}{m} times taller than henry.

Step-by-step explanation:

The difference in height can be found using subtraction.

Since Porter is taller than Henry, we'll subtract away Henry's height from Porter's height. This will leave us with only the difference between the heights.

n = Porter's height

m = Henry's height

Difference in height is thus:

n-m

Answer: Porter is n-m inches taller than Henry.

To find out how many times taller Porter is than Henry, we can use division.

An example: if Porter was 200cm, and Henry was 100cm, Porter is obviously 2 times as tall.

If we divide Porter's height by Henry's height...

\frac{200}{100}=2

..we'll get 2. This is because Henry's height "fits in twice" in Porter's height. 100 fits twice in 200.

Using our values, n and m, we'll divide n by m.

\frac{n}{m}

Answer: Porter is \frac{n}{m} times taller than henry.

3 0
2 years ago
Other questions:
  • 1.09g/mL to lbs/gal <br><br> Please show how to solve it too
    5·2 answers
  • You just obtained a credit card. You immediately purchase a digital camera for $160. Your credit limit is $4000. Let’s assume th
    7·1 answer
  • In this diagram WQ = AC. One way to prove this is true is to draw a line through B such that BDAC. Then prove triangle ABC is co
    13·2 answers
  • Bill can paint a small house in 3 days, Sharon can paint a small house in 4 days and Wilber can paint a small house in 5 days. H
    14·1 answer
  • During the spring and summer months, the Happy Home Motel sees a rise in travelers. The manager of the motel turned in this repo
    12·2 answers
  • Alice and Bob are playing a game. Alice starts first. On Alice's turn, she flips a coin. If she gets a heads, she wins. If not,
    6·1 answer
  • Interest centers around the life of an electronic component. Suppose it is known that the probability that the component survive
    7·1 answer
  • Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and
    15·2 answers
  • Give the next two terms in the following sequence: -18, -17, -9, 18, 82
    13·1 answer
  • The following 5 questions are based on this information: An economist claims that average weekly food expenditure of households
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!