Question:
Katy makes 48 cookies an hour. If she has 24 already, how long would it take her to make 120?
Answer:
It takes 2.5 hours for Katy to make 120 cookies
Step-by-step explanation:
Given:
Time taken to make 48 cookies = 1 hour
To Find:
Time taken to make 120 cookies = ?
Solution:
Time taken to make 48 cookies = i hour
So now time taken to make 1 cookie =
So time taken to make 120 cookies
= Number of cookies X time taken to make one cookie
=>
=>
=> 2.5 hours
Answer:
Point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.
Step-by-step explanation:
It is given that the radius of the cylinder is 4 units and the height of the cylinder is 4 units.
The volume of the cylinder is
Where, r is radius and h is height of the cylinder.
Substitute r=4, h=4, π=3.14 in the above formula.
The volume of the cylinder is 200.96. Therefore, point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.
The percentage of boys 16- to 17-years-old who wear a size 11 shoe or larger is 3.59%.
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that X>27.9 is equal to the blue area under the curve.
Step 2:
Since μ=25.2 and σ=1.5 we have:
P ( X > 27.9 ) = P ( X−μ > 27.9−25.2 )
⇒ P ( X−μ/σ > 27.9−25.2/1.5)
Since Z=x−μσ and 27.9−25.21.5=1.8 we have:
P ( X>27.9 )=P ( Z>1.8 )
Step 3: Use the standard normal table to conclude that:
P (Z>1.8)=0.0359
Percentage = %
Therefore , The percentage of boys 16- to 17-years-old who wear a size 11 shoe or larger is 3.59%.
