Answer:
1/5
Step-by-step explanation:
Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.
Given the samples 0,1,3,4,7
Total number of samples is 5
The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.
5C2 = 5!/(5-2)!2!
= 5!/3!2!
= 5×4×3!/3!×2
= 10ways
The total outcome is therefore 10
To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice
The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4
The expected outcome is therefore 2
the probability that the range of the sample is 4 = expected outcome/total outcome
= 2/10
= 1/5
Answer:
9 ft
Step-by-step explanation:
You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:
cos(50)=x/14
Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).
Answer:
13.9 or 14
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 13^2 = c^2
25 + 169 = 197
square root 197 to get c
c = 13.9 (14 rounded up)
Helpful thing to note is that the hyptoenuse will always be longer than your "long side" of the triangle
Given :
Emilie rides her bike x miles before she gets a flat tire.
She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.
To Find :
Which expression shows how many miles Emilie travels in all.
Solution :
We know, total distance covered is given by sum of all the distance she travelled.
Distance covered, D = x + 1/3 + 2 1/2
D = x + 1/3 + 5/2
D = (6x + 2 + 15)/6
D = (6x + 17)/6
Therefore, total distance travelled by Emilie is (6x + 17)/6 .
The answer is B because the teacher is keeping count of the seeds that EACH student plants
