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4 years ago

There were 3 bananas, 4 apples, and 3 oranges in a basket. What is the probability that Ace will pick a banana from the basket?

Mathematics

1 answer:

Jlenok [28]4 years ago

5 0

0.3 or 30%. The probability that Ace pick a banana from a basket that content others fruits is 0.3.

The key to solve this problem is using the equation of probability $P(A)=\frac{n(A)}{n}$ where n(A) the numbers of favorables outcomes and n the numbers of possible outcomes.

There are in the basket 10 fruits in total (3 bananas + 4 apples + 3 oranges = 10fruits). Then, extract a fruit can occur in 10 ways, this is n. There is only 3 bananas in the basket, so the fruit that ACE will pick be a banana can occur in 3 ways out of 10, so 3 is n(A).

Solving the equation:

$P(A)=\frac{3}{10}=0.3$

You might be interested in

The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m

castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 10 minutes:

This means that $m = 10, \mu = \frac{1}{10} = 0.1$

A. What is the probability that the arrival time between customers will be 7 minutes or less?

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)$

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

$P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592$

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442$

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

3 0

3 years ago

Reduce the fraction -20t^5 u^2 v^3 over 48t^7 u^4 v

timofeeve [1]

.........................................................

5 0

3 years ago

Hareem takes a medicine to control his blood pressure. he takes a 25 mg pill in the morning. suppose that 60% of the medicine is

Vikentia [17]

The recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be $a_1=25, a_n = 0.60_{n-1} +25$

Hence, option B is correct.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

Example:

F(x) = F(x-1) + c

is one such recursive rule.

Hareem takes medicine to control his blood pressure.

he takes a 25 mg pill in the morning.

Suppose that 60% of the medicine is processed by hareem's body by the time he takes a second 25 mg pill in the evening.

So, the recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be;

$a_1=25, a_n = 0.60_{n-1} +25$

Hence, option B is correct.

Learn more about the recursive rule here:

brainly.com/question/12620593

#SPJ1

5 0

2 years ago

3/4x=-18 what is the answer?

Afina-wow [57]

Answer:

X= 24

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3/4*x-(18)=0

Step by step solution :

Step 1 :

Simplify —

Equation at the end of step 1 :

(— • x) - 18 = 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

18 18 • 4

18 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 4) 3x - 72

————————————— = ———————

4 4

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

3x - 72 = 3 • (x - 24)

Equation at the end of step 3 :

3 • (x - 24)

———————————— = 0

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

3•(x-24)

———————— • 4 = 0 • 4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

3 • (x-24) = 0

Equations which are never true :

4.2 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3 Solve : x-24 = 0

Add 24 to both sides of the equation :

x = 24

One solution was found :

x = 24

6 0

3 years ago

(This is more like science!) the question is : According to the diagram below in what direction will the motion of the book go?

Elis [28]

Answer:

a to the top left hope this help

7 0

3 years ago