Answer:
x = 14
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + x² = (14
)²
2x² = 392 ( divide both sides by 2 )
x² = 196 ( take the square root of both sides )
x = 
= 14
Thus the congruent legs are 14 cm
Answer:
All the conditions for the chi square test of homogeneity are satisfied.
Step-by-step explanation:
The conditions for the chi square test are
1) the sample is a random sample
2) the variable under study is categorical
3) all expected value of the number of sample observations are greater or equal to 5.
A)The observations must be independent
B) for 2 categories the expected values must be at least 5
C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5
The observations given are independent that is not equally likely i.e do not have equal chances of occurrences or are not dependent on each other.
4) the overall sample must be resonably large that is greater than 50
Answer: the answer is 50
Step-by-step explanation: I got it right in the quiz
Answer:
42 minutes is the median amount of time
Step-by-step explanation:
The Median is the middle value of data set.
If there is "odd" number of numbers, and there are n numbers, the median is:
(n/2) + 1 th number
If there is "even" number of numbers, and there are n numbers, the median is:
Average of n/2th and (n/2) + 1 th number
Here, we have 5 numbers, so the median would be:
(5/2) + 1 th number
That is
3rd number
But, we need to arrange the numbers from least to greatest. Lets write it:
19, 23, 42, 56, 67
The third number is 42, this is the median
Answer:
Step-by-step explanation:
Tan(51) = opposite / adjacent
The adjacent side makes up the reference angle (51o)
The opposite side is not part of the reference angle
adjacent side = x
opposite side = 16
Tan(51) = 16 / x Multiply both sides by x
x * Tan(51) = 16 Divide by tan 51
x = 16 / tan(51)
tan(51) = 1.2349
x = 16 / 1.2349
x = 12.96
