What is the solution to the system of equations graphed below?
2 answers:
Answer:
Option B) (-2,1) is correct.
Step-by-step explanation:
The given equations are, .
Let the point of intersection be <em>(a,b).</em>
Thus (a,b) satisfies both the equations.
subtracting both the equations we get,
x = -2, now inserting this value in anyone of the equations,
Thus, the intersection point is (-2,1).
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Answer:
The duty he has to pay is 156.25$.
Step-by-step explanation:
We know that for foreign-made vehicles imported into the U.S., whether new or used, either for personal use or for sale, are generally dutiable at the following rates: Cars: 2.5%.
From task we know that the Fiat car abroad that cost him $6,250.
We have the following proportion:
The duty he has to pay is 156.25$.
Answer:
Step-by-step explanation:
Hello!
To test if boys are better in math classes than girls two random samples were taken:
Sample 1
X₁: score of a boy in calculus
n₁= 15
X[bar]₁= 82.3%
S₁= 5.6%
Sample 2
X₂: Score in the calculus of a girl
n₂= 12
X[bar]₂= 81.2%
S₂= 6.7%
To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.
To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.
Then you can calculate the interval as:
[(X[bar]_1-X[bar_2) ± *
]
[(82.3-81.2) ± 1.708* (6.11*]
[-2.94; 5.14]
Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.
I hope this helps!