Answer:
<h2>∠Q corresponds with ∠Z</h2>
Step-by-step explanation:
- form a graph
- draw Δ ZNM and ΔPQR on either side of the y- axis
- You reflect ΔZMN across the y- axis
- Then you translate said triangle up the graph
- The corresponding ∠'s will match and overlap.
- m∠Q ≅ m∠Z as well as being a corresponding triangle
<h3>
Brainliest please?</h3>
Answer: A solution is a homogeneous mixture of two or more substances. A solution may exist in any phase. A solution consists of a solute and a solvent. For example, in a saline solution, salt is the solute dissolved in water as the solvent.
Step-by-step explanation:
x = -4, so use the first equation, x^2 = -4^2 = -16
x = 4, use 3rd equation, sqrt(x) = sqrt(4) = 2
Set up a ratio of known to unknown:
Let X = the amount of gas needed for 500 miles:
220/12 = 500/x
Cross multiply:
220x = 6000
Divide both sides by 220:
X = 6000 / 220
x = 27.27 gallons (round answer as needed).
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!