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ANTONII [103]
3 years ago
6

The probability that an individual is left-handed is 0.11. in a class of 29 students, what is the probability of finding five le

ft-handers?
Mathematics
1 answer:
natka813 [3]3 years ago
5 0

This is a case of binomial probability, with n = 29, p = 0.11 and x = 5.


Using the function binompdf on my Texas Instruments calculator, as follows:


binompdf(29,0.11,5) = 0.117 (answer)

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How to draw x is less than and equal to 11/5 on number line?
Nikitich [7]
First, write out the statement as an inequality so that it looks like this: x<span>≤11/5
Then you graph it on a number line, and since you know anything greater/less than or equal to is a closed circle since it includes the value 11/5, you would plot a closed circle on 11/5 on a number line and draw and arrow pointing towards the left to show that only values 11/5 or under can satisfy x.


</span>
6 0
3 years ago
Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is
igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

x=0(mod5)

x=8(mod11)

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

x=5m

x=11n+8

5m\cong 11n+8

Now, we can say that m>n because m and n are positive integers.

For n=1,

5m=11(1)+8=19

5m=19

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

5m=11(2)+8

5m=30

m=6

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

x=5(6)=30

Therefore the smallest positive integer solution to the given system of congruences is 30.

8 0
3 years ago
HELP! Will give branliest!!
nirvana33 [79]

Answer:

10y + 29 ≤ -23

Step-by-step explanation:

subtract 29 from each side to get:

10y ≤ -52

y ≤ -5.2

3 0
3 years ago
Swimming pool pete's pools installs rectangular pools that are all 10 feet wide. the length can very from 10 feet to 30 feet. th
AleksandrR [38]
76=2w+2l
76=2(10)+2l
56=2l
l=28 feet
8 0
3 years ago
Which is the equation of a line that has a slope of -7 and a Y intercept of 2
padilas [110]

Answer:

y = -7x + 2

Step-by-step explanation:

3 0
3 years ago
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