Answer:
49.865%
Step-by-step explanation:
Given that:
μ = 4 ; σ = 1
For x = 4
P(x < 4) :
Z score (x - μ) / σ
P(x < 7) - P(x < 4)
((7 - 4) / 1) - ((4 - 4) / 1)
P(Z < 3) - P(Z < 0)
Usibg the Z probability calculator :
0.99865 - 0.5
= 0.49865
= 0.49865 * 100
= 49.865%
Answer: 28 cube boxes.
Step-by-step explanation:
The volume of a cube can be found with this formula:

Where "s" is the lenght of any edge of the cube.
You need to find the volume of a cube box:

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction. To do it, multiply the whole number part by the denominator of the fraction and add this product to the numerator.
The denominator does not change.
Then:

Knowing the dimensions of the shipping box, you can calculate its volume by multiplying its dimensions. Then, this is:

Finally, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube:
Answer:
b = -1
Step-by-step explanation:
7(3b-1): 7 goes into the numbers by multiplying. This will give you 21b-7.
So now the equation should be like 21b-7=2b-26.
-7 and 2b swap places, making 21b-2b=7-26. It will give you 19b= -19.
Finally divide the two numbers (-19 / 19) and the solution will be b= -1.
If I didn't make a clear answer or a good explanation, please comment. I sometimes mess up my steps, and this is my first time using this.
Answer:
3 pencils
Step-by-step explanation:
We are given Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
Number of pencils=72
Number of calculators=24
If Zayed creates the greatest number of identical packages
Then , we find GCF of 72 and 24


GCF=
Hence, Zayed creates 24 packages.
Number of pencils in each package=
Hence, 3 pencils and one calculator will be in each package .