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Archy [21]
3 years ago
9

In a sample of 50 randomly selected students at a school, 38 students eat breakfast every morning. There are 652 students in the

school. using these results, predict the number of students that eat breakfast.
A. 76
B.123
C.247
D.496
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
5 0
For the sample:
\frac{38}{50} = 0.76 = 76\%

Applying this to the whole population:

652 \times \frac {38}{50} = 495.52

Since we can't have "0.52 of a person" we roudn to the neares whole, or 496.
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Quadrilateral ABCD is inscribed in a circle with angle measures m∠A = (11x − 8)°, m∠B = (3x2 + 1)°, m∠C = (15x + 32)°, and m∠D =
dimulka [17.4K]

Answer:

No for all of the 4 values

Step-by-step explanation:

The sum of the internal angles of a quadrilateral is always 360°, so we have that:

m∠A + m∠B + m∠C + m∠D = 360

11x - 8 + 3x2 + 1 + 15x + 32 + 2x2 - 1 = 360

5x2 + 26x - 320 = 0

Solving the quadratic function using Bhaskara's formula, we have:

Delta = 26^2 + 4*5*320 = 7076

sqrt(Delta) = 84.12

x1 = (-26 + 84.12)/10 = 5.81

x2 = (-26 - 84.12)/10 = -11.01 (this value will generate negative angles, so it is not valid).

Now, finding the angles, we have:

m∠A = 11*5.81 - 8 = 55.91°

m∠B = 3*(5.81)^2 + 1 = 102.27­°

m∠C = 15*5.81 + 32 = 119.15°

m∠D = 2*(5.81)^2 - 1 = 66.51°

As all these values are different from the values shown, the answer is No for all of them.

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Answer:

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Step-by-step explanation:

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