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hammer [34]
2 years ago
7

The function f(x) is shown in the graph.

Mathematics
1 answer:
anzhelika [568]2 years ago
3 0

The function that describes the graph is an exponential function

<h3>How to determine the function type?</h3>

From the graph, we have the following highlights:

  • Initially, when x increases; y seem not to increase
  • Then, x and y increase at the same time
  • Finally, y increase and x seem not to increase

The above is the description of an exponential function

Hence, the function that describes the graph is an exponential function

Read more about exponential function at:

brainly.com/question/11464095

#SPJ1

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You play the following game against your friend. You have 2 urns and 4 balls One of the balls is black and the other 3 are white
Rom4ik [11]

Answer:

Part a: <em>The case in such a way that the chances are minimized so the case is where all the four balls are in 1 of the urns the probability of her winning is least as 0.125.</em>

Part b: <em>The case in such a way that the chances are maximized so the case  where the black ball is in one of the urns and the remaining 3 white balls in the second urn than, the probability of her winning is maximum as 0.5.</em>

Part c: <em>The minimum and maximum probabilities of winning  for n number of balls are  such that </em>

  • <em>when all the n balls are placed in one of the urns the probability of the winning will be least as 1/2n</em>
  • <em>when the black ball is placed in one of the urns and the n-1 white balls are placed in the second urn the probability is maximum, as 0.5</em>

Step-by-step explanation:

Let us suppose there are two urns A and A'. The event of selecting a urn is given as A thus the probability of this is given as

P(A)=P(A')=0.5

Now the probability of finding the black ball is given as

P(B)=P(B∩A)+P(P(B∩A')

P(B)=(P(B|A)P(A))+(P(B|A')P(A'))

Now there can be four cases as follows

Case 1: When all the four balls are in urn A and no ball is in urn A'

so

P(B|A)=0.25 and P(B|A')=0 So the probability of black ball is given as

P(B)=(0.25*0.5)+(0*0.5)

P(B)=0.125;

Case 2: When the black ball is in urn A and 3 white balls are in urn A'

so

P(B|A)=1.0 and P(B|A')=0 So the probability of black ball is given as

P(B)=(1*0.5)+(0*0.5)

P(B)=0.5;

Case 3: When there is 1 black ball  and 1 white ball in urn A and 2 white balls are in urn A'

so

P(B|A)=0.5 and P(B|A')=0 So the probability of black ball is given as

P(B)=(0.5*0.5)+(0*0.5)

P(B)=0.25;

Case 4: When there is 1 black ball  and 2 white balls in urn A and 1 white ball are in urn A'

so

P(B|A)=0.33 and P(B|A')=0 So the probability of black ball is given as

P(B)=(0.33*0.5)+(0*0.5)

P(B)=0.165;

Part a:

<em>As it says the case in such a way that the chances are minimized so the case is case 1 where all the four balls are in 1 of the urns the probability of her winning is least as 0.125.</em>

Part b:

<em>As it says the case in such a way that the chances are maximized so the case is case 2 where the black ball is in one of the urns and the remaining 3 white balls in the second urn than, the probability of her winning is maximum as 0.5.</em>

Part c:

The minimum and maximum probabilities of winning  for n number of balls are  such that

  • when all the n balls are placed in one of the urns the probability of the winning will be least given as

P(B|A)=1/n and P(B|A')=0 So the probability of black ball is given as

P(B)=(1/n*1/2)+(0*0.5)

P(B)=1/2n;

  • when the black ball is placed in one of the urns and the n-1 white balls are placed in the second urn the probability is maximum, equal to calculated above and is given as

P(B|A)=1/1 and P(B|A')=0 So the probability of black ball is given as

P(B)=(1/1*1/2)+(0*0.5)

P(B)=0.5;

5 0
3 years ago
What is the value of 4x^2 + 5x . when x = 1
Lynna [10]

Answer:

9

Step-by-step explanation:

Just substitute the value of x onto the x variables in the equation

; 4(1)^2 + 5(1)

; 4 + 5

; 9

7 0
3 years ago
Read 2 more answers
A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed?
Mkey [24]
32.5 square feet. If you do the area formula “A=5v13(13) over 2”
5 0
3 years ago
Find the range, median, and mode of the following dot plot.
Aloiza [94]

Answer:

Range: 0.07

Median: 0.145

Mode: none

Step-by-step explanation:

<u>Range:</u> largest #- smallest #

<u>Median:</u> middle number (when numbers are in order least to greatest) or when two are middle number you add them, and divide by two

<u>Mode:</u> most occurring number(s) (if there aren't any, no mode)—but if there are multiples such as 2 zeros and 2 ones then 0 and 1 would be the mode

5 0
2 years ago
What is the mean of the following set?<br><br> 34, 31, 32, 38
larisa [96]

Answer:

33.75.

Step-by-step explanation:

The mean = sum of the numbers / the number count

= (34 + 31 + 32 +  38) / 4

= 135 / 4

= 33.75.

7 0
3 years ago
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