Answer:
Step-by-step explanation:
L = 3*w + 1 Given
P = 2*(L + w) Formula for Perimeter. Substitute for L
P = 2*(3w + 1 + w) Combine
P = 2*(4w + 1)
P = 58 Given
58 = 8w + 2 Remove the brackets
58 - 2 = 8w Subtract 2
56 = 8*w Divide by 8
56/8 = w
7 = w
================
Find L
L = 3*w + 1
L = 3*7 + 1
L = 22
================
Check
2L + 2W = 58
2*22 + 2*7 =? 58
44 + 14 = ? 58
58 = 58
The answer checks.
Where are the measurements?
Answer:
c. an observed difference is 0.12 and P < 0.0001
Step-by-step explanation:
Let p1 be the proportion of the students who received musical instruction received a passing grade
Let p2 be the proportion of the students who didn't receive musical instruction received a passing grade
Null and Alternative hypotheses are:
: p1-p2=0
: p1-p2≠0
Test statistic can be found using the equation:
where
- p1 is the sample proportion of the students who received musical instruction received a passing grade (
)
- p2 is the sample proportion of the students who didn't receive musical instruction received a passing grade (
)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of the students who received musical instruction (3239)
- n2 is the sample size of the students who didn't receive musical instruction (2787)
Thus,
≈ 11.84 gives p-value < 0.0001
Observed difference is: 0.87-0.75=0.12
Probability of not spinning a consonant:
2/6
Simple: 1/3
A and E are vowels which are not consonants. Everything else is.