Answer:
Randomly selected adult has an IQ less than 136 is 0.9641
Step-by-step explanation:
It is given that, it is normal distribution with mean 100 and SD as 20.
So, let's use the formula of z-score
z=
For this problem,
x= 136
Plug in this value into the formula
z-score=
=1.8
Now, use z-score table to find the probability
Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641
So, Randomly selected adult has an IQ less than 136 is 0.9641
Answer:
x = -10
Step-by-step explanation:
We just have to translate the problem correctly
>8 times a number is the same
this tells me that
>as 30 less than 5 times the number.
Now set them equal to eachother
Now isolate the variable x
Answer:
22.5
Step-by-step explanation:
What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.
If you want to calculate it yourself stop reading here, because I will work it out now.
Volume box = a*b*c
Volume prism = 15
Volume pyramid = (b * c * a)/3
The prism has the volume of the box minus the pyramid so
abc - (abc)/3 = 15
abc - (1/3)abc = 15
(2/3)abc = 15
abc = 22.5
So 22.5 is the volume of the figure
Any angle that is bent at 45 degree, 90 degree,180 degree are called benchmark angles. Obtuse angle, Acute angle, Right angle, Straight angle are called benchmark angles
Answer:
f(g(2)) = 22
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x + 1
g(x) = 2x² - 1
<u>Step 2: Find g(2)</u>
- Substitute: g(2) = 2(2)² - 1
- Evaluate: g(2) = 2(4) - 1
- Multiply: g(2) = 8 - 1
- Subtract: g(2) = 7
<u>Step 3: Find f(g(2))</u>
- Define: g(2) = 7
- Rewrite: f(7)
- Substitute: f(7) = 3(7) + 1
- Multiply: f(7) = 21 + 1
- Add: f(7) = 22
And we have our final answer!
