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Questions in mathematics

[Done] Out of 1000 balls, 50 are red and the rest white. If 60 balls are picked at random, then what is the probability of picking exactly 3 red balls? (a) 0.3214 (b) 0.2341 (c) 0.3241 (d) 0.2241

[Done] Fill in the blanks. Also write the name of the property used. a. 3193 × 1 = ______ ( ) b. 4234 × 0 = ______ ( ) c. 2513 × 5216 = ______ × 2513 ( ) d. 9062 × ______ = 807 × ______ ( ) e. 4023 × ______ = 0 ( ) f. 9128 × ______ = 9128 ( ) g. 314 × (63 × 23) = ( ______ × ______ ) × 23 ( ) h. 403 × (100 × 15) = (403 × ______ ) × ______ ( )

[Done] In a scout camping, 1/4 of the participants are grade 6 students. If there are 60 participants in all, how many are grade 6 students?

[Done] Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, $(x, y)$? A. distance B. line C. plane D. point

[Done] Graph the equation $y=-x^2+8x-12$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the roots of the equation $-x^2+8x-12=0$. Click to plot points. Click points to delete them.

[Done] The table shows the battery lives, in hours, of ten Brand A batteries and ten Brand B batteries. Battery Life (hours) | | 22.5 | 17.0 | 21.0 | 23.0 | 22.0 | 18.5 | 22.5 | 20.0 | 19.0 | 23.0 | | :------ | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | Brand A | | | | | | | | | | | | Brand B | 20.0 | 19.5 | 20.5 | 16.5 | 14.0 | 17.0 | 11.0 | 19.5 | 21.0 | 12.0 | Which would be the best measure of variability to use to compare the data? A. Only Brand A data is symmetric, so standard deviation is the best measure to compare variability. B. Only Brand B data is symmetric, so the median is the best measure to compare variability. C. Both distributions are symmetric, so the mean is the best measure to compare variability. D. Both distributions are skewed left, so the interquartile range is the best measure to compare variability.

[Done] Solve this simultaneous equation: 3x+2y=7, x+3y=7

[Done] What is the center of a circle represented by the equation $(x+9)^2+(y-6)^2=10^2$? A. $(-9,6)$ B. $(-6,9)$ C. $(6,-9)$ D. $(9,-6)$

[Done] Which graph represents the equation $y=\frac{1}{3} x+11$? c. D.

[Done] Which is the equation of the line with slope 0 passing through the point $(-3,-1)$? A. $x=-3$ B. $y=-3$ C. $x=-1$ D. $y=-1$