Answer:
6
Step-by-step explanation:
Let the two integers be a and b.
The difference of them is 26. Thus:
One of them (let's use a) is 2 more than 5 times the other. Thus:
Substitute:
Combine like terms:
Subtract 2 from both sides:
Divide by 4:
And the second number is:
Add 6 to both sides:
So, our two numbers are 32 and 6
And the smaller integer is 6.
And we're done :)
Answer:
0.8188 or 82%
0.0000643
Step-by-step explanation:
Given that engineering specifications on the shelf depth of a certain slug to be turned on a CNC lathe are from .0275 in. to .0278 in.
If x is the dimension then X is N(0.0276, 0.0001)
Or is Normal (0,1)
a) Fraction of shelf depths are in specifications
=
b) For 98% to be within the specifications,
Margin of error =
For 98% critical value Z two tailed is 2.33
Hence std error =
So sigma should be = 0.0000643
Answer:
Factoring
Step-by-step explanation:
and
Answer:
Answer is in attachment. I am really sorry if I'm wrong.
Step-by-step explanation:
<h2>Finding the height:</h2>Greatest common factor (GCF) is the highest number that is a factor of 2 numbers. Not sure if that makes sense.
For example, GCF of 8 and 4 is 4, because 4 is the highest factor that fits into both numbers. 4x2=8 and 4x1=4.
In this case, the height is 7, because that's the GCF of 21 and 70. There's no bigger common factor than that. 7x3=21 and 7x10=70
<h2>Finding the length and area:</h2>Now that we know the "height", even though there's no such thing as height when calculating the area, we know the length.
The area of something is length x width. Your assignment calls it height for some reason so we'll use height x length.
Area of the 2 shapes is already given, which is 21n for the first shape. Length of the first shape is 3n because 3nx7=21n. Recall that 7 is what we found earlier.
As we can see, the "height" of the 2nd shape is the same as the first, therefore it should also be 7.
Since we are given the area of the 2nd shape, we now know its length. Length of 2nd shape is 10, because 7x10=70.
