Answer:
x= 14
Step-by-step explanation:
When the triangles are similar, they should have a similar ratio that makes one side equal to another. In this case, the ratio is 1.5 as 24 divided by 16 is 1.5. Now, taking the side that is "similar" to the x-value which is 21, we divided 21 by 1.5 resulting in x= 14.
Answer: 1/3
Step-by-step explanation: The probability is given by the number of times the event could happen (in this case get an "e"), over the number of all the possibilities (in this case, the six letters of the word)
Therefore, probability 
Answer:
Step-by-step explanation:
Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as
z = (x - u)/s
Where
x = ticket sales from monday
u = mean amount of ticket
s = standard deviation
From the information given,
u = 500 tickets
s = 50 tickets
We want to find the probability that the mean will be greater than 510. It is expressed as
P(x greater than 510) = 1 - P(x lesser than or equal to 510)
For x = 510
z = (510 - 500)/50 = 0.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.9773
P(x greater than 510) = 1 - 0.9773 = 0.0227
Answer:
14
Step-by-step explanation:
(a+b)^2
(a+b)(a+b)
FOIL
a^2 + ab+ab + b^2
Combine like terms
a^2 +2ab + b^2
Rearranging
a^2+b^2 +2ab
We know a^2+b^2 = 4 and ab= 5
4 + 2(5)
4+10
14
Complete Question
The complete question is shown on the first uploaded image
Answer:
1

2

3

4

Step-by-step explanation:
Generally the area of a sector is mathematically represented as

Now at
and 


Now at
in and 


Now at
and 


Now at
and 

