Answer:
(0.392 ; 0.508)
Step-by-step explanation:
Given that :
p = 45% = 0.45
α = 1 - 90% = 0.1
Zα/2 = Z0.01/2 = Z0.05 = 1.645 (from Z standard table).
Using the relation :
p ± Z0.05*sqrt((p(1-p))/n)
p ± 1.645 * sqrt(0.45(0.55)/200)
p ± 1.645 * sqrt(0.0012375)
p ± 1.645 *0.0351781
0.45 - (1.645 * 0.0351781) = 0.3921320255
0.45 + (1.645 * 0.0351781) = 0.5078679745
(0.392 ; 0.508)
Answer: Change the number: 36
To:48
Step-by-step explanation:
12x2 is 24 but 24 x 2 isn’t 36
First, you need to get rid of the parenthesis, so you need to distribute:
12(–1.4m + 0.4) = m + 0.2
-16.8m + 4.8 = m +0.2
Then subtract both sides by m:
-16.8m - m + 4.8 = m +0.2 - m
-17.8m + 4.8 = 0.2
Subtract both sides by 4.8:
-17.8m + 4.8 - 4.8 = 0.2 - 4.8
-17.8m = -4.6
Now, divide both sides by -17.8:
-17.8m/-17.8 = -4.6/-17.8
m ≈ 0.258
Answer:
0.249579
Step-by-step explanation:
P(rain) = 0.3
P(no rain) = 1 - 0.3 = 0.7
The event of rain falling a second time within the next 5 days is possible in these ways
1. Rain on days 1 and 2
2. Rain on days 1 and 3; none on day 2
3. Rain on days 1 and 4; none on days 2 and 3
4. Rain on days 1 and 5; none on days 2, 3 and 4
5. Rain on days 1 and 6; none on day 2, 3, 4 and 5
