Answer:
Lest then 5/8
Step-by-step explanation:
Lest then 5/8
The angle is 3 and 1 diameter
Answer:
a. P(x = 5) = 0.24
b. P(x ≥ 6) = 0.43
c. P(x < 4)= 0.14
Step-by-step explanation:
According to the Question,
- Given, 52 %of U.S. Adults have very little confidence in newspapers & We have to randomly select 10 U.S. Adults.
⇒We use Binomial Probability Formula
![P(X = x ) = \frac{n!}{x!((n-x)! } * p^{x} * (1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%20%29%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28%28n-x%29%21%20%7D%20%2A%20p%5E%7Bx%7D%20%2A%20%281-p%29%5E%7Bn-x%7D)
Where, p=0.52 & n=10
a. The probability that the number of U.S. adults who have very little confidence in newspapers is exactly five . So, (x=5)
Thus, ![P(X = 5 ) = \frac{10!}{5!((10-5)! } * 0.52^{5} * (1-0.52)^{10-5}](https://tex.z-dn.net/?f=P%28X%20%3D%205%20%29%20%3D%20%5Cfrac%7B10%21%7D%7B5%21%28%2810-5%29%21%20%7D%20%2A%200.52%5E%7B5%7D%20%2A%20%281-0.52%29%5E%7B10-5%7D)
On Solving Above Equation we get,
P(5)=0.2441 ≈ 0.24
b. The probability that the number of U.S. adults who have very little confidence in newspapers is at least 6 . So, (x≥6)
Then,
P(x≥6) = P(6)+P(7)+P(8)+P(9)+P(10)
P(x≥6) =
+
+
+
+![\frac{10!}{10!((10-10)! } * 0.52^{10} * (1-0.52)^{10-10}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B10%21%28%2810-10%29%21%20%7D%20%2A%200.52%5E%7B10%7D%20%2A%20%281-0.52%29%5E%7B10-10%7D)
On solving above equation we get,
P(x≥6) = 0.4270 ≈ 0.43
c. The probability that the number of U.S. adults who have very little confidence in newspapers is less than 4 . So, (x<4)
Then,
P(x < 4)=P(3) + P(2)+P(1)+P(0)
P(x<4) =
+
+
+ ![\frac{10!}{0!((10-0)! } * 0.52^{0} * (1-0.52)^{10-0}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B0%21%28%2810-0%29%21%20%7D%20%2A%200.52%5E%7B0%7D%20%2A%20%281-0.52%29%5E%7B10-0%7D)
On solving we get,
P(x < 4)= 0.1410 ≈ 0.14
Answer:
Tip amount: $6.49
Final amount of the bill: $38.92
Step-by-step explanation:
We need to calculate the tip amount which is 20% of $32.43.
Then we will add the tip amount to $32.43.
To find a percent of a number, change the percent to a decimal by dividing the percent by 100 and multiply by the number.
20% of $32.43 =
= 0.2 * $32.43
= $6.486
We round off the tip amount to the nearest cent, $6.49
The tip amount is $6.49
To find the final amount of the bill, we add the tip amount to the bill amount.
$32.43 + $6.49 = $38.92