Answer:
x=3.5
Step-by-step explanation:
AD/BD=AC/BC
x/4.2=5/6
6x=21
6x/6=21/6
x=3.5
Hope this helps! ;)
Answer: 19.77%
Step-by-step explanation:
Given: Mean : 
Standard deviation : 
The formula to calculate z-score is given by :_

For x= 80, we have

The P-value = 
In percent , 
Hence, the approximate percentage of the test scores during the past year exceeded 80 =19.77%
Answer:
678.24 cubic centimeters
Step-by-step explanation:
The factored form of 10xy - 15y is 5y(2x - 3)
<em><u>Solution:</u></em>
Given that, we have to write the given expression in factored form
<em><u>Given expression is:</u></em>
10xy - 15y
To find the factored form, let us first find the greatest common factor of 10 and 15
The factors of 10 are: 1, 2, 5, 10
The factors of 15 are: 1, 3, 5, 15
Then the greatest common factor is 5
Thus, factor out 5 from given expression

Now factor out the common term "y"

Thus the factored form is found
Answer:
c. 10
Step-by-step explanation:
Pythagoras theorem is used since it's a right angle triangle
26²-24²=a²
676-576=a²
√100=√a²
a=10