Answer: 0.88
Step-by-step explanation:
Let C is the event of drinking coffee, T is the event of drinking tea and M is the event of drinking milk.
Thus, when we make the Venn diagram of the given situation according to the given information,
Total number of people = 50
Number of people who like coffee, tea and milk = 19
Number of people who like coffee, tea but not milk = 16
Number of people who like coffee, milk but not tea = 2
Number of people who like tea, milk but not coffee = 5
Thus, the number of people who like tea only = Total people - (people who like coffee, tea but not milk + people who like coffee, tea and milk + the one who only like tea and milk but not coffee)
= 50 - ( 16 + 19 + 5) = 50 - 46 = 4
Thus, Total number of the person who like milk = 16 + 19 + 5 + 4 = 44
⇒ Probability that this person likes tea = 
= 
we have the expression
Evaluate for x=-4/5 and y=1/3
substitute the values of x and y in the given expression
the answer is 32/15
Answer:
9604
Step-by-step explanation:
V = (7/3)³ × 756
= 343/27 × 756
= 9604 ft³
Answer: c. z = 1.35; Reject the null hypothesis
Step-by-step explanation:
Let 
be the average life expectancy of its batteries.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since 
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For 
, we have
Critical one-tailed test value for 0.10 significance level :
Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .
[When critical value is less than the test statistic value , we reject the null hypothesis .]
Answer:
x = 85 deg
Step-by-step explanation:
We can see that there are two straight lines that intersect and that the two angles given are opposite angles.
Because they are opposite angles, the two angles have the same value, i.e
(x + 5) = 90 (subtract 5 from each side)
x = 90 - 5
x = 85 deg
