Answer:
23
Step-by-step explanation:
Answer: 5%
Step-by-step explanation:
The number of employees that took Winter vacation = 75%
The number of employees that took Both winter and summer vacation = 40%
The number that took Neither = 20
The total number of employees (%) =Winter + Summer - Both + Neither = 100%
75%+ Summer - 40%+ 20%= 100%
Solving for Summer = 45%
Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%
Answer:
12
Step-by-step explanation:
A 2 - sided counter ; (red, yellow)
A spinner (1,2,3,4,5,6)
Number of trials = 80
P(red and number > 3) :
P(red) = 1/2 ;
P(number >3) : numbers greater Than 3 = (4, 5, 6)
Hence, P(number <3) = 3 /6 = 1/2
Theoretical probability = 1/2 *1/2 = 1/4
Expected number of outcomes :
1/4 * number of trials
1/4 * 80 = 20
Experimental outcome :
Relative frequency = number of outcomes / number of trials
Relative frequency = 2/5
Hence,
2/5 = number of outcomes / 80
Cross multiply :
160 = number of outcomes * 5
Number of outcomes = 160 /5 = 32
Actual outcomes = 32
Difference between actual and expected :
32 - 20 = 12
Answer:
3
Step-by-step explanation:
i double checked
Given :
Sin x = 4/5
Using the rule of SOH CAH TOA,
we know that,
Sin x = opposite/Hypotenuse
So,
When the triangle is dilated, the opposite side will be dilated to 8 and the Hypotenuse will be dilated to to 10.
which means 4/5 will become 8/10
and hence,
8/10 after simplifying will be 4/5.Thus there is no change.
Hope this helped!
Brainliest is very much appreciated.
