Answer:
6.5 units
Step-by-step explanation:
We are given that
Two adjacent sides of right triangle
Suppose a,b and c are sides of right triangle.
squared units
square units.
Length of third side,c=x units
We have to find the length of third side of the triangle.
By using Pythagoras theorem
Hence, the length x of the third side of the triangle=6.5 units
Answer:
$393.50+/-$19.72
= ( $373.78, $413.22)
Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $393.50
Standard deviation r = $50.30
Number of samples n = 25
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
$393.50+/-1.96($50.30/√25)
$393.50+/-1.96($10.06)
$393.50+/-$19.7176
$393.50+/-$19.72
= ( $373.78, $413.22)
Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)
Answer:P(male | buys lunch) = 0.4 and P(male) = 0.3.
Step-by-step explanation:
There are 46+176 = 222 males.
There are 254+264 = 518 females.
There are a total of 740 people.
The probability of being male is 222/740 = 0.3
There are 46+254 = 300 people that bring lunch.
There are 176 + 264 = 440 people that buy lunch.
P(male | buy lunch) = 176 / 440 = 0.4
P(male | buys lunch) = 0.4 and P(male) = 0.3.
Answer:
5 drahms.
Step-by-step explanation:
From the question given above, the following data were obtained:
120 grains = 6 scruples
6 scruples = 2 drahms
300 grains (in drahms) =..?
From the above data,
120 grains = 6 scruples
6 scruples = 2 drahms
Therefore,
120 grains = 2 drahms
Thus, we can obtain 300 grains in drahms as follow:
120 grains = 2 drahms
Therefore,
300 grains = 300 grains × 2 drahms /120 grains
300 grains = (300 × 2)/120 drahms
300 grains = 5 drahms
Therefore, 300 grains is equivalent to 5 drahms.
