Answer:
see attached
Step-by-step explanation:
The figures have orientations (for example, the long-axis direction) that differ by 90°. The reflections of selections 2 and 3 cannot accomplish that. Only the first and last choices are viable.
SOLUTION
The die has 6 faces, that is 6 outcomes
They are 2 marbles that is 2 outcomes
They are 2 cards, that is 2 outcomes
Number of possible outcomes become
Hence the answer is 24 possible outcomes
In order to find the probability of both marbles being drawn being the same colour, the probability of each marble being drawn has to first be found and then multiply both probability to find the probability of two orange marble being drawn consecutively.
Now, the probability of drawing an orange marble = ⁴/₉
since a marble has been removed and wasn't replaced then there are now 5 pink + 3 orange marbles (8 marbles in total) in the bag.
∴ the probability of the second marble drawn being orange = ³/₈
⇒ the probability of <span>two orange marbles in a row without the first being replaced = </span>⁴/₉<span> </span>× ³/₈ = ¹/₆
Answer:
Answer = a. 2
Degree of freedom df = (r – 1)(c – 1) = (2 – 1)(3 – 1) = (1)(2) = 1 x 2 = 2
Step-by-step explanation:
The degree of freedom of a one-dimensional chi-square statistic is df = n– 1, where ‘n’ is the number of categories or levels of the independent variable. But in this case, we are to analyze a two-way contingency table. This Chi-square test of independence uses a contingency table format. It is also referred to as a contingency table test. A (row X column) contingency table shows the observed frequencies for two categorical variables ( in the is case: TV shows and Gender) arranged in ‘r’ rows and ‘c’ columns. The sum of the observed frequencies is ‘n’, the sample size, that is, the row and column totals adds up to form a grand total ‘n’ which is the sample size. Since the rows and columns have been classified into mutually exclusive categories where the three TV shows will serve as the column heads and the male and female classification will serve as the rows, the degree of freedom for the test will be to multiply the individual degree of freedom of both row (r-1) and column (c-1) numbers in the (row X column) contingency table format for the test. Thus the degrees of freedom df = (r – 1)(c – 1), where r = number of rows(Male/Female) and c = number of columns (TV shows) .
Now, the gender here is 2 and the TV shows are 3
So, r = 2 and C = 3
Degree of freedom df = (r – 1)(c – 1) = (2 – 1)(3 – 1) = (1)(2) = 1 x 2 = 2
The mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters
<h3>What is mean absolute deviation?</h3>
It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.
We have depths of the scuba diver, in meters
{−9, −18, −16, −13, −14}
We know the formula for the mean absolute deviation:
Here n is total number of observation
x is the elements in the data set
X is the mean of the data.
n = 5
x = -70/5 = -14
∑|x-X| = 12
MAD = 12/5 = 2.4 meters
Thus, the mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters.
Learn more about the mean absolute deviation here:
brainly.com/question/10528201
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