Answer:
around 36 in (round 35.98 to nearest tenth)
Step-by-step explanation:
Answer:
a+4b-24
Step-by-step explanation:
4(1/4a+b−6)
=(4)(1/4a+b+−6)
=(4)(1/4a)+(4)(b)+(4)(−6)
=a+4b−24
Answer:
150
Step-by-step explanation:
1. 4^3 = 4 x 4 x 4 = 16 x 4 = 64
2. 64 - 4 = 60
3. 60 ÷ 2 = 30
4. 30 ⋅ 5 = 150
Answer:
Step-by-step explanation:
While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated that the distribution of the student test scores are normally distributed with a mean of 79.13 and a standard deviation of 6.34. What is the probability that the student scores less than 60.11
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
z = 60.11 - 79.13/6.34
Answer:
{-2,10}
Step-by-step explanation:
x^2 - 8x = 20
Take the coefficient of x
-8
Divide by 2
-8/2 =-4
Square it
(-4)^2 =16
Add this to each side
x^2 - 8x+16 = 20+16
x^2 - 8x+16 = 36
The left hand side becomes( x + (-8/2) )^2
(x - 4)^2 = 36
Take the square root of each side
sqrt((x - 4)^2) =±sqrt( 36)
x-4 = ±6
Add 4 to each side
x-4+4 = 4±6
x = 4±6
x = 4+6 x = 4-6
x = 10 x = -2