Answer:
We need a sample size of least 119
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Sample size needed
At least n, in which n is found when 
We don't know the proportion, so we use 
, which is when we would need the largest sample size.
Rounding up
We need a sample size of least 119
Answer:
11). m∠W = 70°
12). m∠M = 95°
13). m∠Q = 135°
14). m∠Q = 55°
15). m∠X = 110°
Step-by-step explanation:
11). m∠W + m∠X = 180° [Consecutive interior angles]
(24x - 2) + (36x + 2) = 180°
60x = 180°
x = 
x = 3
Therefore, m∠W = (24x - 2)°
m∠W = (24×3 - 2)
= 72 - 2
= 70°
Since opposite angles of a parallelogram are equal in measure.
m∠Y = m∠W = 70°
12). m∠J + m∠K = 180° [Consecutive interior angles]
(6x + 19) + (8x + 7) = 180°
14x + 26 = 180
14x = 180 - 26
14x = 154
x = 
x = 11
m∠K = (8x + 7)
m∠K = 8×11 + 7
m∠K = 95°
Since m∠M = m∠K
Therefore, m∠M = 95°
13). m∠Q = m∠S [Opposite angles of a parallelogram]
x + 135 = 2x + 135
2x - x = 0
x = 0
Therefore, m∠Q = 135°
14). m∠Q = m∠S [Opposite angles of a parallelogram]
14x - 1 = 13x + 3
14x - 13x = 3 + 1
x = 4
m∠Q = (13x + 3)
= 13×4 + 3
= 52 + 3
m∠Q = 55°
15). m∠Z = m∠X
(19x - 4) = (17x + 8)
19x - 17x = 12
2x = 12
x = 6
m∠X = (17x + 8)°
m∠X = 17×6 + 8
m∠X = 110°
Your answer is 90. Hope that helps!
Answer:
The coins probability is 1/2 while the dice probability is 1/6
Step-by-step explanation:
The coin only has 2 sides so you split it into halves
The dice has 6 sides so you split it into sixths
Hi there!
To solve this problem, we should first find the product of 3/8 and 16 and multiply the solution by 2/3.
Let's find the product first.
3/8 × 16 = 48/8
Simplify.
48/8 = 48 ÷ 8 = 6
Now, we find 2/3 of 6.
6 ÷ 3 × 2 = 2 × 2 = 4
So, your answer is 4.
Hope this helps!
