Answer:
51 degrees
Step-by-step explanation:=Given data
Temperature at 6pm = 60 degrees
percent drop= 15%
= 15/100*60
=0.15*60
=9 degrees
Hence the temperature at 10 pm is 60-9= 51 degrees
The symbol "<span>∈" means "belongs to".
This means that a certain element belongs to or is found in the set.
The set given contains three numbers which are 4, 14 and 17.
As you can see, 4 is found in this set, therefore, 4 belongs to this set.
Based on this, the given statement is true.</span>
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:
1) x = 25 2) x = 23; m∠CBD = 80 degrees
Step-by-step explanation:
1) 5x + 15 = 6x - 10 Set both equations equal to each other
- 5x - 5x Subtract 5x from both sides
15 = x - 10
+ 10 + 10 Add 10 to both sides
25 = x
2) 2x + 14 + x + 7 = 90 Set the equations equal to 90
3x + 21 = 90 Combine like terms
- 21 - 21 Subtract 21 on both sides
3x = 69 Divide both sides by 3
x = 23
Plug 23 into the equation
2(23) + 14 = 60
Answer:
a= 131 21/30
b= 132 21/30
c= 132
Step-by-step explanation: