Ask question

Ask question

All categories

3 years ago

7

A bowl contains candles of the same size in three flavors :ORANGE,STRAWBERRY, AND PINEAPPLE.If the probability of randomly pulli

ng out an orange candy is 4 over 7 ,and the probability of randomly pulling out a stawberry candy is 1 over 7 what is the probability of randomly pulling out a pineapple candy?

1 answer:

olga55 [171]3 years ago

7 0

Hi!

To solve this, we need to write an equation.

Obviously there are 7 candies in the bowl.

$\frac{4}{7} + \frac{1}{7} + \frac{x}{7} = \frac{7}{7}$

Add

$\frac{5}{7} + \frac{x}{7} = \frac{7}{7}$

Subtract 5/7 from both sides of the equation to find x.

$\frac{5}{7} - \frac{5}{7} + \frac{x}{7} = \frac{7}{7} - \frac{5}{7}$

$\frac{x}{7} = \frac{2}{7}$

x = 2

The answer is $\frac{2}{7}$

Hope this helps! :)

-Peredhel

You might be interested in

Which statement is correct about relations and functions?

vitfil [10]

1. all functions are relations.

2.
-7 + 3(-12) ÷ (-3)
-7 - 36 ÷ -3
-7 - (-12)
-7 + 12
5

3.
f(n) = n² - n f(-4)
f(-4) = -4² - (-4)
f(-4) = 16 - (-4)
f(-4) = 16 + 4
f(-4) = 20

hope this helped, God bless!

6 0

2 years ago

Consider the following scenario describing the Cambridge Mall parking lot: The number of wheels in the parking lot is based on t

emmasim [6.3K]

The correct answer would be Yes, because the number of wheels in the parking lot is specific to the number of cars in the parking lot.

5 0

3 years ago

In a study of 100 new cars, 29 are white. Find and g, where

sleet_krkn [62]

Question

<em>In a study of 100 new cars, 29 are white. Find p and q , where p is the proportion of new cars that are white. </em>

Answer:

p = 0.29 and q = 0.71

Step-by-step explanation:

Given

Total new cars = 100

White new cars = 29

Required

Determine p and q

From the question;

<em>p represents white new cars</em>

Hence;

$p = 29$

Note that;

$p + q = 100$

Substitute 29 for p

$29 + q = 100$

$29 - 29 + q = 100 - 29$

$q = 100 - 29$

$q = 71$

The proportion of p is calculate by dividing p by the total number of new cars (Same process is done for q)

For proportion of p

$Proportion,\ p = \frac{p}{new\ cars}$

$Proportion,\ p = \frac{29}{100}$

$Proportion,\ p = 0.29$

For proportion of q

$Proportion,\ q = \frac{q}{new\ cars}$

$Proportion,\ q = \frac{71}{100}$

$Proportion,\ q = 0.71$

6 0

3 years ago

Let f(x)=241+3e−1.3x . What is the point of maximum growth rate for the logistic function f(x) ? Round your answer to the neares

FromTheMoon [43]

Answer:

The point of maximum growth is at x=0.82

Step-by-step explanation:

Given a logistic function

$f(x)=\frac{24}{1+e^{-1.3x}}$

we have to find the point of maximum growth rate for the logistic function f(x).

From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at $y=\frac{24}{2}$ i.e between 0 to 12

So, we can take $y=\frac{24}{2}$ and then solve for x.

$\frac{24}{2}=\frac{24}{1+e^{-1.3x}}$

⇒ $2=1+3\exp{-1.3x}$

⇒ $1=3.\exp{-1.3x}$ ⇒ $\frac{1}{3}=\exp{-1.3x}$

⇒ log 3=-1.3x

⇒ -0.4771=-1.3.x ⇒ x=0.82

Hence, the point of maximum growth is at x=0.82

5 0

3 years ago

He population of a city in Alabama increases every year by 11.5 percent. If the population in 2011 was 4.8 million, what will it

Yakvenalex [24]

Answer:

Answer is 8.27 million

Step-by-step explanation:

6 0

3 years ago