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balandron [24]
3 years ago
6

According to national data, about 11% of American college students earn a graduate degree. Using this estimate, what is the prob

ability that exactly 26 undergraduates in a random sample of 200 students will earn a college degree?
Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

<em>Probability is the chances of an event occurring or not occurring in  an experiment.</em>

<em>Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn't affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.</em>

Step-by-step explanation:

P(Exactly 26 undergraduates will earn a degree) = P(26);

P(Sample of Students) = P(200);

P(11% of American students earn a degree) = P(11% or 0.11)

∴ The probability that exactly 26 undergraduate earning a degree = P(200)/P(26) = 7.69

∴ To find the 11% of the American College students that earn a degree =

7.969 x 0.11 = 0.8459≅ 0.9

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storchak [24]
\frac{b}{b-3} - \frac{5}{b} = \frac{3}{b-3}  \\   \frac{ b^{2} -5(b-3)}{b(b-3)} =\frac{b}{b-3} \\  \frac{ b^{2} -5b+15}{b^2-3b} =\frac{b}{b-3} \\ (b-3)(b^{2} -5b+15)=b(b^2-3b) \\ b^3-8b^2+30b-45=b^3-3b^2 \\ 5b^2-30b+45=0 \\ b^2-6b+9=0 \\ (b -3)(b-3)=0 \\ b=3

To check: 3/3-3 - 5/3 = 3/0 - 5/3 which is not defined.

Therefore, b = 3 is an extraneous solution.
5 0
3 years ago
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When solving 8,411 ÷ 52, you decide to start by subtracting 100 groups of 52. What is the remainder?
IceJOKER [234]

Answer:

I think that the remainder would be 39. I am not 100% sure however.

Step-by-step explanation:

I started by doing 8411-5200 because 100 groups of 52 is 5200. I got 3211 and then divided that by 52. I got 62 r 39. Hope this helps!!

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2 years ago
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The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?
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Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively

The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number

Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;

Preimage (x, y) reflected across the <em>x</em> axis give the image (x, -y)

Where in a complex number, we have;

x = The real part

y = The imaginary part

The reflection of z₁ across the x-axis gives the point <em>A</em>, while the reflection of z₂ across the x-axis gives the point <em>L</em>

Therefore;

Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂

Learn more about complex numbers here;

brainly.com/question/20365080

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3 years ago
the length of a rectangular frame is 15 inches and the width of 8 inches. what is the length of a diagonal of this Fram inches
Rashid [163]

Answer:

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Answer:

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