Answer:
x = 35
C = 18.92
A = 71.07
Step-by-step explanation:
x)
Use the Pythagorean theorem to find the unknown side.
For Angle C
The angle C can be found using the inverse sine function.
C=arcsin(opp/hyp)
C=arcsin(12/37)
C=18.92
For Angle A
The sum of all the angles in a triangle is 180 degrees.
A + 90 + 18.92 = 180
A = 71.07
Answer:
78.383%
Step-by-step explanation:
The pH of randomly selected swimming pools follows a normal distribution with mean 7.4 and standard deviation 0.22. A pool should have a pH between 7.2 and 7.8 so that chlorine treatment is effective.
Using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 7.2
z = 7.2 - 7.4/0.22
z = -0.90909
Probability value from Z-Table:
P(x = 7.2) = 0.18165
For x = 7.8
z = 7.8 - 7.4/0.22
z = 1.81818
Probability alue from Z-Table:
P(x = 7.8) = 0.96548
The probability of pools having an acceptable pH level(7.2 and 7.8)
= P(x = 7.8) - P(x = 7.2)
= 0.96548 - 0.18165
= 0.78383
Converting to percentage
0.78383 × 100
= 78.383%
The percentage of pools having an acceptable pH level is 78.383%
Answer:
g(x)=(x+7)^2-2
Step-by-step explanation:
The number inside the parenthesis moves the parabola left and right. It didn't move in any of those directions, so 7 stays the same. Since it moved 2 units, 2 goes outside the parenthesis. Since it moved down, you subtract the 2.
Answer:
Step-by-step explanation:
The number of pencils distributed per student is 5.
Let the given number of students be
Total number of pencils needed = Number of pencils distributed per student × Number of studentsTotal number of pencils needed = 5 × s = 5s.
