Competition Flashcard 2

Front

The word ANAGRAM has 7 letters. How many unique arrangements of the letters in ANAGRAM start with a consonant?

Back

2520

Front

What is the 100th odd number starting from 1?

Back

199

Front

A pencil pack contains ten pencils of increasing height. The first pencil is 5 inches tall, and each subsequent pencil is 1.1 times as tall as the one before it. Find the combined length of the pencils to the nearest inch.

Back

82 inches

Front

What of the following is a correct way to express the binomial expansion of (x-4)³? Options: ∑ (from k=0 to 4) (4 choose k) x^k (3)^(4-k), ∑ (from k=1 to 3) (3 choose k) x^k (4)^(3-k), ∑ (from k=0 to 4) (4 choose k) x^k (-4)^(3-k), ∑ (from k=3 to 4) (3 choose k) x^k (4)^(3-k), ∑ (from k=1 to 4) (3 choose k) x^k (-4)^(3-k)

Back

∑ (from k=0 to 4) (4 choose k) x^k (-4)^(3-k)

Front

What is the coefficient of the x⁴ in the binomial (x-5)⁵?

Back

25

Front

Using the data set of scores: {67, 78, 100, 94, 49, 38, 81}. Find the mean to the nearest whole number.

Back

73

Front

For which purpose would a statistician be LEAST likely to calculate a set’s variance? Options: To control the mean of a data set., To measure the spread of a data set, To determine the median of a data set, To find the z-score of a data point., To calculate standard deviation.

Back

To determine the median of a data set

Front

Which of the following is NOT an accurate expression of variance? Options:
\[\frac{\sum_{i=1}^{n}(x_i-\bar{x})^2}{n}\] ,
\[\sigma^2\] ,
\[\frac{\sum_{i=1}^{n}x_i^2-\bar{x}\sum_{i=1}^{n}x_i}{n}\] ,
\[\frac{\sum_{i=1}^{n}x_i^2-\bar{x}\sum_{i=1}^{n}x_i}{n}\] ,
None of the above

Back

\[\frac{\sum_{i=1}^{n}x_i^2-\bar{x}\sum_{i=1}^{n}x_i}{n}\]

Front

If we’re calculating the z-score of a data point and we’re given that the value is 12, the mean is 33, and that the standard deviation is 15.97. What is the z-score?

Back

-1.32

Front

Which of these are always true? i. \(\bar{x} > \sigma\) ii. \(0 \leq P(E) \leq 1\) iii. \(\sum_{i=1}^{b}P(E_i) = 1\)

Back

Only ii and iii