Two high school classes took the same test. One class of 20 students made an average grade of 80%; the other class of 30 students made an average grade of 70%. The average grade for all students in both classes is:

Two high school classes took the same test. One class of 20 stude…

Choose the correct answer.
$\lim\limits_{\text{x} \rightarrow \pi}\frac{\sin\text{x}}{\text{x}-\pi}$ is:

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Is Rolle’s theorem valid for f(x) = x2 - 3x + 4 in the interval [1, 2]?

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A fair dice is rolled n times. The number of all the possible outcomes is

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The foci of the hyperbola 9x² − 16y² = 144 are

$(\pm4,0)$
$(0,\pm4)$
$(\pm5,0)$
$(0,\pm5)$

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If x² + y² = 1, then the distance from the point (x, y, 1 - x² - y²) to the origin is:

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If D, G and R denote respectively the number of degrees, grades and radians in an angle, then:

$\frac{\text{D}}{100}=\frac{\text{G}}{90}=\frac{2\text{R}}{\pi}$
$\frac{\text{D}}{90}=\frac{\text{G}}{100}=\frac{\text{R}}{\pi}$
$\frac{\text{D}}{100}=\frac{\text{G}}{100}=\frac{2\text{R}}{\pi}$
$\frac{\text{D}}{90}=\frac{\text{G}}{100}=\frac{\text{R}}{\pi}$

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If A = (1, 2, 3), B = (2, 3, 4) and C is a point of trisection of AB such that $\text{C}_{\text{x}} + \text{C}_{\text{y}} = \frac{13}{3}$ then $\text{C}_\text{z}=$

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If a coin is tossed till the first head appears, then what will be the sample space?

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If $|\text{x} + 3|\geq10,$ then:

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The probability that a leap year will have 53 Fridays or 53 Saturdays is:

$\frac{2}{7}$
$\frac{3}{7}$
$\frac{4}{7}$
$\frac{1}{7}$

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Statistics — MATHS STD 11 Science — Question

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