Answer: 4
Step-by-step explanation:
For any binomial variable X having parameters n (total number of trials ) and p (probability of getting success in each event), the standard deviation is given by :-
As per given , we have
n= 100 , p= 20%=0.20
Then, the standard deviation of this binomial distribution is :
Hence, the standard deviation of this binomial distribution is <u>4</u>.
<span>Luis has 5 cans of soda. He will buy more cans of soda from the store. The store has 12 cases in stock and each case contains 24 cans of soda. The store will not sell partial cases. The function that models the number of cans Luis will have after his purchase is f(c) = 24c + 5.
What is the practical domain and range of the function?
5 is the initial number of cans Luis has on hand. To this 5 we add 24 times c, where c represents the # of cases (not cans). Thus, if he buys 1 case, he will have 5+24(1), or 29, cans on hand.
c represents the number of cases he buys. He cannot buy a neg. number of cases, altho he could theoretically buy 0 cases by not going to the store.
Thus, the domain is {integers only, ranging from 1 to infinity}
The smallest number of cans this guy would have is 5, so the range is
{integers from 5 up}</span>
Simplifying
2x + -15 = 35
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Reorder the terms:
-15 + 2x = 35
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Solving
-15 + 2x = 35
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 2x = 35 + 15
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Combine like terms: -15 + 15 = 0
0 + 2x = 35 + 15
2x = 35 + 15
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Combine like terms: 35 + 15 = 50
2x = 50
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Divide each side by '2'.
x = 25
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Simplifying
x = 25
The surface area of a hexagonal prism willl be 251.13844 cm².
<h3>What is the surface area?</h3>
The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
A=6ah+3√3a²
A=6×4×7+3√3×4²
A≈251.13844
Hence the surface area of a hexagonal prism willl be 251.13844 cm².
To learn more about the surface area, refer to the link;
brainly.com/question/2835293
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7.7m is more precise because it has a decimal after it
