To solve the equation for x, first, we add 16 from both sides of the equation:
Now, we divide by 6:
Finally, we get that:
Answer:
Answer:
supplementary angles are two angles that when add equal 180 degrees.
The supplement of an angle is 180 - n.
Step-by-step explanation:
n = 17(180 - n)
n = 3060 - 17n
n + 17n = 3060
18n = 3060
n = 3060/18
n = 170
so the unknown angle (n) = 170 degrees and its supplement = (180 - 170 = 10)......= 10 degrees.
Answer:
98.1% chance of being accepted
Step-by-step explanation:
Given:
sample size,n=56
acceptance condition= at most 2 batteries do not meet specifications
shipment size=7000
battery percentage in shipment that do not meet specification= 1%
Applying binomial distribution
<h3>P(x)=∑ᵇₐ=₀ (n!/a!(n-a)!)p^a (1-p)^(n-a)</h3>
In this formula, a is the acceptable number of defectives;
n is the sample size;
p is the fraction of defectives in the population.
Now putting the value
a= 2
n=56
p=0.01
=0.56960+0.32219+0.08949
After summation, we get 0.981 i.e. a 98.1% chance of being accepted. As this is such a high chance, we can expect many of the shipments like this to be accepted!
Answer:
The area of the paralellogram is 24 square units.
Step-by-step explanation:
Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:
(1)
Where:
- Area.
- Base.
- Height.
The base and height of the parallelogram are, respectively:
Base
Height
Then, the area of the parallelogram is:
The area of the paralellogram is 24 square units.
Answer:
Function 2
Step-by-step explanation:
Function 1 has a slope of 1.
Function 2 has a slope of 1.1.
1.1 > 1, so Function 2 has a greater slope.