Answer:
length= 9
width= 3
Step-by-step explanation:
x= width
length = x+6
x+6+x+6+x+x=24
4x+12=24
take 12 from both sides
4x= 12
x=3
Answer:
8/27 is represented in decimal as 0.2962962963
Answer:
1.) mean
2.) H0 : μ = 64
3.) 0.0028
4) Yes
Step-by-step explanation:
Null hypothesis ; H0 : μ = 64
Alternative hypothesis ; H1 : μ < 64
From the data Given :
70; 45; 55; 60; 65; 55; 55; 60; 50; 55
Using calculator :
Xbar = 57
Sample size, n = 10
Standard deviation, s = 7.14
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(57 - 64) ÷ 8 / sqrt(10)
Test statistic = - 2.77
Pvalue = (Z < - 2.77) = 0.0028 ( Z probability calculator)
α = 10% = 0.1
Reject H0 ; if P < α
Here,
P < α ; Hence, we reject the null
Using the percentage concept, it is found that 60% of the students voted to donate a telescope.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

In this problem:
- The total amount is the number of students, which is of b = 500.
- 300 voted to donate, hence a = 300.
The <em>percentage </em>is given by:

60% of the students voted to donate a telescope.
More can be learned about the percentage concept at brainly.com/question/10491646