Answer:
x = 
Step-by-step explanation:
Given
3(x - 6) = 6 + 7, that is
3(x - 6) = 13 ← distribute parenthesis on the left side by 3
3x - 18 = 13 ( add 18 to both sides )
3x = 31 ( divide both sides by 3 )
x =
Answer:
Step-by-step explanation:
Assuming a normal distribution for the distribution of the points scored by students in the exam, the formula for normal distribution is expressed as
z = (x - u)/s
Where
x = points scored by students
u = mean score
s = standard deviation
From the information given,
u = 70 points
s = 10.
We want to find the probability of students scored between 40 points and 100 points. It is expressed as
P(40 lesser than x lesser than or equal to 100)
For x = 40,
z = (40 - 70)/10 =-3.0
Looking at the normal distribution table, the corresponding z score is 0.0135
For x = 100,
z = (100 - 70)/10 =3.0
Looking at the normal distribution table, the corresponding z score is 0.99865
P(40 lesser than x lesser than or equal to 100) = 0.99865 - 0.0135 = 0.98515
The percentage of students scored between 40 points and 100 points will be 0.986 × 100 = 98.4%
Answer:
5) 18.8 cm
7) 49.5 ft
Explanation:
The formula for arc length is S = θ * r
5) S = 18 cm * Pi/3 (60 degrees in radians)
S = 6 Pi cm
S ≈ 18.8 cm
7) S = 9 ft * 7 Pi / 4
S = 63 Pi ft / 4
S ≈ 49.5 ft
Answer:
7⅓
Step-by-step explanation:
2 ÷ 3⁄11 → 2 × 3⅔ >> 7⅓
Dividing by a fraction is the exact same as multiplying by its multiplicative inverse.
* 3⅔ = 11⁄3
* 7⅓ = 22⁄3
I am joyous to assist you anytime.
