Answer:
Step-by-step explanation:
Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as
z = (x - u)/s
Where
x = ticket sales from monday
u = mean amount of ticket
s = standard deviation
From the information given,
u = 500 tickets
s = 50 tickets
We want to find the probability that the mean will be greater than 510. It is expressed as
P(x greater than 510) = 1 - P(x lesser than or equal to 510)
For x = 510
z = (510 - 500)/50 = 0.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.9773
P(x greater than 510) = 1 - 0.9773 = 0.0227
I could be very much wrong but maybe 45 cm3
Answer:
x = 120
Step-by-step explanation:
Assuming you require to find the value of x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
140 + 150 + 90 + x + 130 + 90 = 720 , that is
x + 600 = 720 ( subtract 600 from both sides )
x = 120
The concentration of the hydronium ions in the milk is 5.011×10⁻⁴ if the container of orange juice has a pH of 3.3.
<h3>What is pH value?</h3>
The pH of a solution is a measurement of the concentration of hydrogen ions in the solution, as well as its acidity or alkalinity. Normally, the pH scale ranges from 0 to 14.
We have:
A container of orange juice has a pH of 3.3.
The pH value = 3.3
![\rm pH = -log[H_3O^+]](https://tex.z-dn.net/?f=%5Crm%20pH%20%3D%20-log%5BH_3O%5E%2B%5D)
![\rm 3.3 = -log[H_3O^+]](https://tex.z-dn.net/?f=%5Crm%203.3%20%3D%20-log%5BH_3O%5E%2B%5D)
Removing log:
![\rm 10^{-3.3}=[H_3O^+]](https://tex.z-dn.net/?f=%5Crm%2010%5E%7B-3.3%7D%3D%5BH_3O%5E%2B%5D)
![\rm [H_3O^+] = 5.011\times10^{-4}](https://tex.z-dn.net/?f=%5Crm%20%5BH_3O%5E%2B%5D%20%3D%205.011%5Ctimes10%5E%7B-4%7D)
Thus, the concentration of the hydronium ions in the milk is 5.011×10⁻⁴ if the container of orange juice has a pH of 3.3.
Learn more about the pH value here:
brainly.com/question/1503669
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Answer:
D. 102.6 in²
Step-by-step explanation:
The area of the square is 9 in² (3 × 3 = 9)
The area of the rectangle is 30 in² (3 × 10 = 30)
The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)
Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.
Hope this helps!