Answer:
Here is the answer
Step-by-step explanation:
∠1 and ∠6 are adjacent because they share the same vertex and the same common side.
∠2 and ∠5 are vertical angles since they have pairs on opposite sides of the angle.
∠3 and ∠6 have none of the above.
∠5 and ∠3 are a linear pair because the angles are opposite of each other.
By using proportions, We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.
Option A is correct.
First, let's set up the proportions.
A proportion is an equation in which two ratios are set equal to each other.
We have 3/200 cars with defects and we want to know X for X/10000.
So 3/200 = X/10000
Now solve for X.
3/200 = X/10000
X = 
X = 150
So the answer is: We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.
Option A is correct.
Find out more information about proportions here
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Answer:
2 (real) solutions.
Step-by-step explanation:
A quadratic always has two solutions, whether they are real or complex.
Sometimes the solution is complex, involving complex numbers (2 complex), sometimes they are real and distinct (2 real), and sometimes they are real and coincident (still two real, but they are the same).
In the case of
x^2+3x = 3, or
x² + 3x -3 = 0
we apply the quadratic formula to get
x = (-3 +/- sqrt(3^2+4(1)(3))/2
to give the two solutions
{(sqrt(21)-3)/2, -(sqrt(21)+3)/2,}
both of which are real.
Answer:
Rita must work 50 days to save at least $25.
Step-by-step explanation:
The amount Rita earns per hour = $10
The saving percentage = 5%
So, the savings of Rita per hour = 5% of $10
⇒5% of $10 = 
or Rita saves $0.5 per hour.
The amount she wants to save at minimum = $25
So, let she works at the minimum of k Days.
⇒
or, 
The number of hours she has to work = 50 days
Hence, Rita must work 50 days to save at least $25.
The distributive property is 15+45 = (10 + 40) + (5+5) = 50 + 10 = 60
Hope this helps you.