There 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.
<h3>What is Permutations?</h3>
A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.
Here, total number of cards = 52
Number of Withdrawn cards = 3
Possibilities of different sequences of 3 playing cards = 52 X 51 X 50
= 132600
Thus, there 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.
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Answer: 0.2742531
Step-by-step explanation:
Let x denote the random variable that represents the driving times.
As per given we have,
![\mu = 38](https://tex.z-dn.net/?f=%5Cmu%20%3D%2038)
![\sigma = 5](https://tex.z-dn.net/?f=%5Csigma%20%3D%205)
Z-score value corresponds to x= 35,
![z=\dfrac{x-\mu}{\sigma}=\dfrac{35-38}{5}=-0.6](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cdfrac%7B35-38%7D%7B5%7D%3D-0.6)
Using z-value table ,
The probability that John’s drive to work will take less than 35 minutes:-
P(X<35)=P(z<-0.6)=1-P(z<0.6)=1-0.7257469=0.2742531
hence, the required probability = 0.2742531
The scale factor that can be applied to Cone 1 to make Cone 2 is 0.8
<h3>What are scale factors?</h3>
This are constants that is used to enlarge of diminish a given figure of sides of a figure
We can determine the scale factor by finding the ratio of the similar sides of two figures, From the given cones, the ratio of their radius can determine the scale factor that is applied to Cone 1 to make Cone 2
From the given figure;
scale factor = radius of cone 2/radius of cone 1
Given the following parameters
radius of cone 2 = 2 ft
radius of cone 1 = 2.5ft
Substitute
scale factor = 2/2.5
scale factor = 0.8
Hence the scale factor that can be applied to Cone 1 to make Cone 2 is 0.8
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Answer: 578
Step-by-step explanation:
12 x 7 = 84
13 + 8 + 4 + 10 = 25
25 x 14 = 350
4 x 10 = 40
8 x 13 = 104
84 + 350 + 40 + 104 = 578
Answer:
19
Step-by-step explanation:
45-26=19