Answer:
0.4867
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 32.6 ; Standard deviation = 12
For :
P(x > 33)
Z = (33 - 32.6) / 12
Z = 0.4 / 12
Z = 0.0333
Hence, using the Z distribution table :
P(Z > 0.0333) = 1 - P(Z < 0.333)
P(Z > 0.0333) = 1 - 0.51328
P(Z > 0.0333) = 0.48672
The quotient for the given mixed fraction is 1.9318
Step-by-step explanation:
Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction 
we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get 
. Similarly, we get the improper fraction 
for converting the mixed fraction 
.
Step 2; After conversion, it's just a matter of division. The fraction equals 4.25 while the denominator equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.
You can use the pythagoras’ theorem and just look at one right triangle.
The dimensions for one of the right triangles is (x/2), 8, and square root of 80.
a^2 + b^c = c^2
when c is the square root of 80.
Plug everything in
(x/2)^2 + 8^2 = (square root of 80)^2
That is equivalent to
((x^2)/4) + 64 = 80
Solve for x
((x^2)/4) = 16
Multiple by 4 on each side
x^2 = 64
Take the square root and you have you’re final answer
x = 8
Answer:
4q
We can write the verbal expression of this algebraic or mathematical expression as simple as four times a number. Since the unknown variable here is “q” and it is not specified it doesn’t mean a specific letter q but just a representation of an absent and unknown value of a number. Hence, these variables have a automated value of 1 hence, q = 1 but unless the value of this variable is changed in finding or filling this unknown it remains with the constant of 1.
Step-by-step explanation:
