Answer: pr (blue) = 1/3 or 0.33
Pr(green without replacement) = 1/2 = 0.5
Step-by-step explanation:
Probability = number of possible outcomes/ number of total outcomes
Total number of outcomes is the sum of all the marbles, given as 9
Pr ( first marble blue) = no of blue marbles/ total number of marbles
= 3/9 = 1/3 or 0.333
Second marble is chosen without replacement- this means that the total outcome has reduced by 1, total number of marbles has reduced to 8 because there was no replacement.
Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble
= 4/8 = 1/2 = 0.5
I hope this helps.
It is 25-6 7 :) that gonna be right
1.) (2, 4) and (10, 8)
Distance: 4√5
Midpoint: (6, 6)
2.) (3, 8) and (7, 3)
Distance: √41
Midpoint: (5, 11/2)
3.) (4, 9) and (9, 5)
Distance: √41
Midpoint: (13/2, 7)
The triangles are similar so the angles are equal
2x^2 - 2 = 10x - 2
2x^2 - 2 - 10x + 2 = 0
2x^2 - 10x = 0
2x(x - 5) = 0
2x = 0 OR x - 5 = 0
x = 0 OR x = 5
0 doesn't make sense, because IF I plug 0 into 2x^2 - 2 I get a negative number. We need to use 5 to find the angle measure
2(5^2) - 2 = 2(25) - 2 = 50 - 2 = 48 degrees or the measure of CED
Answer:
z= 2.38
P = 0.008656
Step-by-step explanation:
Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072
We formulate our null and alternate hypothesis as
H0 = 0.9 ; H0 > 0.9
The degree of confidence = 90%
z₀.₀₅ = 1.645 for α= 0.05
We use the test statistic
z= x- np/√npq
z= 466-500 *0.9/ √500 * 0.9(1-0.9)
z= 466- 450/ √45
z= 16/6.7082
z= 2.38
As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.
If H0 is true the P value is calculated as
P = 1- Ф( 2.38)
P = 1-0.991344=0.008656
