11. The number of gallons of carbonated soft drink consumed per person annually is normally distributed with mean 47.5 and standard deviation 3.5. Twenty-five people are selected at random. The probability that the average number of gallons of carbonated soft drink they each consume per year is between 45 and 50 gallons is about:

Step-by-step explanation:

Since the number of gallons of carbonated soft drink consumed per person annually is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = number of gallons of carbonated soft drink.

µ = mean

σ = standard deviation

From the information given,

µ = 47.5

σ = 3.5

We want to find the probability that the average number of gallons of carbonated soft drink they each consume per year is between 45 and 50 gallons. It is expressed as

P(45 x ≤ x ≤ 50)

For x = 45,

z = (45 - 47.5)/3.5 = - 0.71

Looking at the normal distribution table, the probability corresponding to the z score is 0.2389

For x = 50,

z = (50 - 47.5)/3.5 = 0.71

Looking at the normal distribution table, the probability corresponding to the z score is 0.758

Therefore,

P(45 x ≤ x ≤ 50) = 0.758 - 0.2389

= 0.5191

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.