Answer:
D) x = 3 , x= 10.
Step-by-step explanation:
Given : x²-13x+30=0
To find : Use the zero product property to find the solutions to the equation.
Solution : We have given
x²-13x+30=0
On factoring
x²-10x -3x +30=0
On taking x common from first two terms and -3 from last two terms .
x ( x - 10 ) - 3( x - 10 ) = 0
On grouping
(x -3) ( x -10) = 0.
By the zero product property
x -3 = 0
x = 3 ,
For x - 10 = 0.
x = 10.
Therefore,D) x = 3 , x= 10.
Answer:
540
Step-by-step explanation:
divide 15 by 2.5 then multiply that answer by 90
Answer:
1.6 litre of milk is left
Answer:
Step-by-step explanation:
Given that :
Mean = 7.8
Standard deviation = 0.5
sample size = 30
Sample mean = 7.3 5.4772
The null and the alternative hypothesis is as follows;


The test statistics can be computed as :




The p-value at 0.05 significance level is:
p-value = 1- P( Z < -5.4772)
p value = 0.00001
Decision Rule:
The decision rule is to reject the null hypothesis if p value is less than 0.05
Conclusion:
At the 0.05 significance level, there is sufficient information to reject the null hypothesis. Therefore ,we conclude that college students watch fewer movies a month than high school students.
Answer:
B. There will be a little overlap.