If Molly ate 1/3 of the bag of chips on Friday, that means that there is 2/3 of the bag left.
Then, she eats 1/2 of what is left in the bag (2/3). (We multiply these fractions to find the answer.)
1/2 * 2/3 = 1/3.
<span>Therefore, Molly at 1/3 of the entire bag on Saturday. </span>
This question is incomplete, the complete question is;
Assume the random variable x is normally distributed with mean p = 80 and standard deviation σ = 4.
Find the indicated probability. P(67 < x < 72)
(Round to four decimal places as needed.)
Answer:
the indicated is 0.0222
Step-by-step explanation:
Given the data in the question;
mean μ = 80
standard deviation σ = 4
p ⇒ P ( x -μ / σ )
so
P(67 < x < 72) ⇒ P( 67-80 / 4 ) < P( x -μ / σ ) < P( 72-80 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 ) < P( x -μ / σ ) < P( -8 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 < z < -8 / 4 )
P(67 < x < 72) ⇒ P( -3.25 < z < -2 )
⇒ P( z < -2 ) - P( z < -3.25)
Now from z table;
⇒ 0.02275 - 0.00058
P(67 < x < 72) ⇒ 0.02217 ≈ 0.0222 { four decimal places }
Therefore, the indicated is 0.0222
The formula for the circumference of a circle is
C = 2π·r
or
r = C/(2π)
The radius r of cylinder A is
r = (4π)/(2π) = 2
The formula for the area of a circle is
A = π·r²
or
r = √(A/π)
The radius of cylinder B is
r = √(9π/π) = 3
The dimensions of cylinder A must be multiplied by 3/2 to produce the corresponding dimensions of cylinder B.
Hello!
To solve this, we will use a system of equations. We will have the numbers be represented by x, y, and z, where x will represent the first, y the second, and z the third.
x+y+z=54
z=2x
x=6+y
We know that x is equal to 6+y. We can plug this into the second equation to find z.
z=12+2y
Now we can plug these y values into the first equation to find y.
6+y+y+12+2y=54
18+4y=54
4y=36
y=9
Now we know the value of y. We can plug this into the equations to find the other values.
x=6+9
x=15
z=15(2)
z=30
Just to check, we will add them all up and see if they equal 64.
15+9+30=54
The first number is 15, the second is 9, and the third is 30.
I hope this helps!
